diff --git "a/data/dm_maths/full_data/2243_11255.jsonl" "b/data/dm_maths/full_data/2243_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2243_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o be 1\/((18\/8)\/9) - 9. What is the hundreds digit of 10\/(-25) + (-2 - 1797\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - 72. Let q = w + 118. Let t(x) = x**3 - 7*x**2 - 2*x. What is the units digit of t(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 261.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*v - 3*o - 9, 5*v = -5*o - 20. Let k = 13 + v. Let t = k + 9. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7633 - 7958. Which is smaller: -323 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -527*f + 3. Let b(u) = -263*u + 1. Let q(i) = -9*b(i) + 4*x(i). Is q(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*n - 14, -3*n - n - 14 = -o. Suppose 0 - o = -2*f. Solve 2*k - 35 = -5*v, -4*v = k - f*v - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 17 - 8) + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 42\/28)\/(-3 + (-207)\/(-54)). Let o = -748\/4255 + 14\/115. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9*o + 5*o = 10, -2*o = 3*t. Suppose -4*j = -3*a - 1, j + 29 = 5*a + t*j. Suppose -2*q - 4 + 14 = 0. Solve -15 = -3*r + 6*r, a*p + q = -r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75344233 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -203 * -0.1\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + c + 13, -6*u - 6*c + 17 = -5*c. Let f(n) be the second derivative of u*n + 0 + 0*n**2 + 2\/3*n**3. Let v(s) = -2*s. Determine f(v(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 - 2*p**3 - p**3 + (-2 + 2 - 2*p**2)*(p + 3*p - 3*p) + 6*p**3 + p**3 - 2*p**3 + 15*p + 4*p**3 - 2 - 13*p + 0.\nAnswer: 8*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(243) + 2)*-1*-2)**2)*-6.\nAnswer: -5910 - 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*o + (1 - 2 + 0)*(-22*o + 14*o + 17*o).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:36 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 18 + (6 - 3 - 5) + 3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4 - 30800*c**3 - 1107693*c**2 - 5811750*c + 81401544 = 0. Calculate c.\nAnswer: -30764, -21, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1754823 - -0.1.\nAnswer: 1754823.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75657 + -75687. Let j = 3.1 + -3. Sort j, -1, 1\/2, w.\nAnswer: w, -1, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8285)\/(-40) + 4\/(-32)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 + -173.3. Sort r, -4, -1\/4, 0.2 in ascending order.\nAnswer: -4, r, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 5665*f + 110. Determine g(0).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgk when three letters picked without replacement from {h: 6, k: 3, g: 1, w: 3, m: 1}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167 - 9512*q + 1911*q - 167.\nAnswer: -7601*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 11:24 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/70*6272\/(-2688)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 + 2b95c?\nAnswer: 2b934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59a9523 + -5?\nAnswer: -59a9528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -272527*c**2\/2 + 545049*c\/4 + 5\/4 = 0.\nAnswer: -5\/545054, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 18*w**2 - 249*w + 138. Let j be t(27). Put 2, j, 9 in descending order.\nAnswer: 9, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87.5 + -87.8. What is the nearest to -0.01 in 27, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4963365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 15) in base 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 4*x**2 + 4*x - 1. Let q be f(-5). Suppose 0 = 4*v - n + 42 - 422, -q*v + 4*n = -392. Let h = v - 66. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2727 (base 10) to base 7.\nAnswer: 10644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 244, 423, 674, 991?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**2. Let p(w) = -12*w + 122. Let n(t) = -10*t + 121. Let r(g) = 7*n(g) - 6*p(g). What is l(r(q))?\nAnswer: 40*q**2 + 4600*q + 132250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qlq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 7*b**2 + 228*b - 1. Let t be k(-19). Sort -63, -2, t.\nAnswer: -63, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 0 + 0*d + 0*d**3 + 1\/96*d**4 + 1\/240*d**5 + 5*d**2. Factor c(q).\nAnswer: q*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, -5, 0.02, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 501179759 divided by 2\nAnswer: 501179759\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**3 - 6*g + 1. Suppose 47 = -4*r + 23. Let d(t) be the third derivative of -t**6\/15 - 7*t**4\/24 + t**3\/6 + 2*t**2. Calculate r*n(a) + 5*d(a).\nAnswer: 2*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19725880817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q = -107 - 47 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820909.\nAnswer: 820909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -63.975.\nAnswer: -76.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -25*d**2 + 8*d + 7. Let p(w) = -8*w**2 + 3*w + 2. Let k(a) = -17*p(a) + 6*v(a). Let c(t) = -9*t**2 - 2*t + 5. What is -8*c(x) + 5*k(x)?\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 b when three letters picked without replacement from vkbvqbv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296841 is divided by 466?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 440?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 509108 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 2, f: 1, v: 1, d: 2, k: 1}. Give prob of sequence kv.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 41, -1, -12, 5 in ascending order.\nAnswer: -12, -3, -1, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjsun. Give prob of picking 1 u, 1 n, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-43*a + 0*a + 7*a).\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -1.9. Sort -3, -0.4, y in decreasing order.\nAnswer: -0.4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = 47*w - 48. Suppose w*y + 35 = -3*g + 84, 3*g + 36 = 3*y. Solve -1 = -4*s + 2*m - y, 5*s = -3*m - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126, 106, 86, 66, 46?\n\"Answer: -20*s + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49095 or 49094?\nAnswer: 49095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - a**2 + 12 - 4 + 4*a. Let y(d) = d**2 + 29*d - 87. Let v be y(3). Give o(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21996481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 6) to base 10.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -255\/1883 + -2\/269. Suppose -2*y + 5*y = -5*q + 5, -3*q + 4*y + 3 = 0. Which is the nearest to q? (a) 0.4 (b) -1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -215533584 to the nearest 100000.\nAnswer: -215500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144048 and 90387119.\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-368*d**3 + 658*d**3 - 377*d**3)*(-7*d + d - d) + 0*d**2 + 0*d**2 + 2*d**4 to the form v*d**2 + t*d + i*d**3 + k + b*d**4 and give b.\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/14 - (-1302009)\/21. Round t to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 (base 13) in base 14?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13 + s**2 + 8 - 12*s + 8. Let x be p(12). Solve 0 = -4*y - c + 5, -x*c = -c + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14\/885 - 398\/295. Let j = -38 + 33. What is the nearest to 1\/4 in t, 0.3, j, 9\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + 21941*o**2 - 21311*o**2 + 1 + 0 to l*o + z*o**2 + i and give z.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 - 11 = c, 3*s + c - 3 = 0. Suppose -10*a - 2*p + 36 = -8*a, s*p - 78 = -5*a. Solve -4*r + 0 = -o - a, -o + 1 = r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 9 = -57. What is the second derivative of 97 + 37*w**4 + 32*w**4 + 0*w**2 - 3*w**p + 0*w**2 + w + 20 wrt w?\nAnswer: 828*w**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -4836.5.\nAnswer: -967.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 11*d + 11. Let v(j) = -j**2 - 4*j + 10. Let r be v(-7). What is the remainder when 63 is divided by f(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1 + (-8)\/8. Suppose 30*n - 6*n = -360. Suppose l - j = -10, -4*l = 4*j - 0*j. Sort l, m, n.\nAnswer: n, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-6)\/32))\/(3\/(2160\/(-160))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408831 and 15.\nAnswer: 2044155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 234 + 5?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15759?\nAnswer: 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26049222 a multiple of 1074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -13\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1013420*r**3 - 2*r**2 + 2984135.\nAnswer: 3040260*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70570*v - 70329*v + 140939*v - 1 + 1.\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 568 - 385. Let f = i - -28. What are the prime factors of f?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*n - 58*n + 1250 = -66*n. What is the nearest to -0.1 in -1\/4, 166, n, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 212.6512 years?\nAnswer: 0.2126512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 6*f + 8. Let i be w(-3). Let s be (36\/(-15) - (-3)\/(-5))\/i. Solve 3*t + 2 = -s*m - 1, 0 = -3*t + 2*m - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1119+79\nAnswer: 78.8881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64628947 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -71622, -142905, -214184, -285459, -356730, -427997, -499260?\n\"Answer: 2*o**2 - 71289*o - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 s when four letters picked without replacement from {y: 4, s: 2, b: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25722, -46949, -68188, -89445, -110726, -132037?\nAnswer: -153384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 5, 21, 55, 113, 201, 325?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.839 + -0.081. Let c = 0.08 - u. Let t be (28\/(-98) - (-24)\/(-14)) + -3. Put c, 0.4, t in increasing order.\nAnswer: t, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a - 3. Suppose -42 = 7*y - 14. Let c(x) = 7*x - 7. Let m(f) = y*c(f) + 9*i(f). Calculate m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3 (c) -15\/32 (d) -1 (e) 5.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q - 7. Let s(x) = 7*x - 14. Let p(k) = -5*l(k) + 2*s(k). Suppose 4*h + f + 2 = 15, 0 = -3*h + f + 15. Calculate p(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 470466 and 3763728.\nAnswer: 3763728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.29 and 1769904.\nAnswer: -513272.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12066, 12054, 12042, 12030, 12018, 12006?\n\"Answer: -12*p + 12078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 15 = 5*m, 5*m - p - 2*p - 31 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*j**3 + 340*j**3 + 2323*j**3 + 3286*j**3.\nAnswer: 5748*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*t - 2, 2*t = t - 3*f + 15. Suppose 0*m - m = -i - 23, t = m + 4*i. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1675*b + 3325. Let t(k) = -1674*k + 3307. Let p(m) = -5*t(m) + 6*z(m). What is the derivative of p(r) wrt r?\nAnswer: -1680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -789, -1342, -1859, -2328, -2737, -3074, -3327?\nAnswer: -3484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*d + 482*d - 244*d + 308*d.\nAnswer: 643*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 + 114 + 9*l)*(-l + 0 + 0) + (-4*l - l + 7*l)*(-4 + 2*l + 4).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7477, -30045, -67681, -120403, -188229, -271177?\n\"Answer: -3*q**3 - 7516*q**2 + q + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3 + 4 - 10*i + 16*i in the form c*i + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -70*m - 1709. Give o(-25).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 11*b - 8*b)*(4 + 3 - 4).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a + 1. Let d be q(3). Let n = d - -21. Suppose 4818 = -2474*l + 2496*l - 1760. Calculate the remainder when l is divided by n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 29. Suppose -50 = -2*d - 62. Let p be d\/(-21) + (-3 - 76\/(-28)). Calculate r(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -25*l**2 + 11. Let p(y) = -9*y**2 + 4. Let u(w) = 4*c(w) - 11*p(w). Let m = 6 - 4. Let v(z) = -7*z**2 + 2*z**2 - m*z**2. Calculate v(u(g)).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1313, -3881, -7705, -12785, -19121, -26713, -35561?\nAnswer: -45665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddd. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 154*35\/770*(-2 + 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.6 + -6. Let k = 0.3 + -1.7. Let g = z - k. Put g, 0.4, 2 in increasing order.\nAnswer: 0.4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 232 - 227. Suppose 64959 = v*m - 4*x, -2*m - 33*x + 31*x + 25980 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {d: 2, z: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -29*k**3 + 7*k**3 + 3*k**4 - 8*k**2 - 23*k**4. Let m(w) = 5 - w**3 - 3 + w**4 - 2. Let y(g) = 2*m(g) + z(g). Factor y(h).\nAnswer: -2*h**2*(3*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.641818 milligrams?\nAnswer: 0.000000000641818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0629557 milliseconds in nanoseconds?\nAnswer: 62955.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/680 and ((-4)\/((-6272)\/24))\/((-360)\/3388).\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.44276204.\nAnswer: 1.77104816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttctmytyytccty. Give prob of sequence cm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2234 + 2249. Is g at least 121\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Let k(i) = i**2 - 3*i - 5. Let c be k(-4). Suppose 5 = -d*p + c. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/8)*r**(-6))**(-1\/50) assuming r is positive.\nAnswer: r**(9\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, h: 3, x: 1, v: 1, k: 1, z: 1}. Give prob of picking 1 v and 3 h.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031242869 to six decimal places.\nAnswer: 0.003124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 18*r**2 + 19*r + 21. List the prime factors of s(-19).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 150293*o - o**3 - 4*o**2.\nAnswer: -o**3 + 150293*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3155879517492.999868 + -3155889535451. Let m = r + 10017990. Let s = m + -32. Round s to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 3*w**4 - 3*w**4)*(3 - 3 + 6).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -59*d**3\/6 + d**2\/2 - 2*d. Suppose -404 = z - 403. What is the units digit of t(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -1.27 (c) -1\/2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 35102421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w = -4*h - 259 + 212, 3*h - 2*w = 31 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 45*x + 26. Let b be t(22). Suppose b*m - 82 = -4*p - m, 77 = 3*p - 4*m. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -563.0052 + 0.9777.\nAnswer: -562.0275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -1\/10 (b) -2 (c) -1\/32100 (d) 0.4 (e) 2\/7 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -25. Let t = z + -8. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 789 divide 24924598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1539) + -4 + (sqrt(133)\/sqrt(7))**2 + sqrt(19) + -1 + (((2*sqrt(190) - sqrt(190)) + sqrt(190))\/sqrt(10) - (-4 + -2 + sqrt(19))))*3.\nAnswer: 75 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 332.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 12 + 9 + 7 + 0 + i + 0 + (i + 2*i - 4*i)*(5 - 4 - 2) to w*i + v and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -2067, -6713, -15627, -30201, -51827?\nAnswer: -81897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 10*r = -483. Let q = r - 67. Solve -q*z - 2*z + 8 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441002 (base 5) to base 6.\nAnswer: -154011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.0195511+46.1334\nAnswer: 47.1529511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 42*z**2 - 86*z + 40. Calculate i(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0*d + 3 + 1 - 3 - d. Let j be a(1). Suppose 5*w - 80 - 70 = j. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21494 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 10 = -89. Is q equal to -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a factor of 401075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -199\/5, -29\/7, -5718?\nAnswer: -5718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 + 5*z**2 - z**2)*(838 - 678 + 1727 + 1 - 1 + 1 + (4 + 0 - 2)*(-1 + 1 - 2)) as q*z**2 + k*z + c and give q.\nAnswer: 1884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 8:22 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by -1141?\nAnswer: -176\/1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(176)*1 - (2*sqrt(176) + sqrt(176))*6) + 2)**2.\nAnswer: 272*sqrt(11) + 50868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5514705 to the power of 1\/2, to the nearest integer?\nAnswer: 2348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -2\/21, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-2)*(-292)\/(-876) - 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25140 + -25151.727. Round p to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 24*w**2 + w. Let g be r(2). Let k = 634 - 665. Let t = g + k. List the prime factors of t.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.069, -1186, -18 in increasing order.\nAnswer: -1186, -18, -3, 0.069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooocowcoeooeow. What is prob of sequence wowo?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 15. Let w be n(11). Let j = w + -9. Let o be 9\/(-5)*j\/15. Sort o, 1, -0.4 in descending order.\nAnswer: 1, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726847951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5498)\/(-3))\/((-8)\/(-3 - 21)). Let h = -331 + y. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4 - 1515289*h**3 + 2645950*h**2?\nAnswer: -24*h - 9091734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20383*b*k**2 - 36075*b - k**2 - 2 wrt k.\nAnswer: -40766*b*k - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + t + 4*t. Let j(h) be the second derivative of -h**6\/240 + h**4\/3 + 2*h. Let z(i) be the third derivative of j(i). Determine q(z(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.20827 + 0.20827. Let l = -2\/13 + -20\/39. Which is the second biggest value? (a) j (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f + 3. Calculate v(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 741*d - 4*d**3 + 3*d**3 + 30*d to the form f*d**2 + h*d**3 + l*d + i and give l.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7606 = -4*x, -4*x + 98*t - 103*t = -7602. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*d**2 + 9*d - 3758?\nAnswer: -60*d + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.322 and 0.17.\nAnswer: -0.05474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ac1c6 + 4?\nAnswer: -ac1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -5\/9, 0.1, 80?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 v when four letters picked without replacement from {z: 12, v: 7}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 342754.\nAnswer: 3084786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**5 - 24*r**4 - 36*r**3 - 15*r**2 - 6*r - 9. Let s(i) = i**5 - 12*i**4 - 18*i**3 - 8*i**2 - 3*i - 4. Let b(z) = -9*s(z) + 4*v(z). Factor b(o).\nAnswer: 3*o*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31103214 + 10?\nAnswer: 31103224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(44)\/sqrt(4)*-3 + -3 + -5.\nAnswer: -8 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -176, -270, -392, -536, -696?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 1 + -2 + 3 - 1*(-1*sqrt(363) + sqrt(363))**2*-5.\nAnswer: 2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (9\/21)\/(8\/56). Suppose 0 = -3*c + 2*c + 6. What is the third derivative of -f*b**2 + 0*b**2 - 48*b**6 + 47*b**c wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2. Let f(s) = 532*s**2 - 77*s. Let w(g) = -14*g**2 + 2*g. Let u(y) = 2*f(y) + 77*w(y). Calculate u(z(r)).\nAnswer: -14*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 22. Let t(b) = -b**3 + 4*b**2 - 1. Let z be t(3). Let c = z + -4. Calculate the highest common divisor of f and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67174 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o + 5*o)*(41*o - 197 + 197)*(0*o - o - o).\nAnswer: -164*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.92, 2\/9, -0.3 in decreasing order.\nAnswer: 2\/9, -0.3, -14.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-1 - -3)\/2. Let a(d) be the third derivative of d**4\/24 - 13*d**3\/6 - 17*d**2. Let k be a(8). What is the smallest value in k, h, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-39))\/((-209346)\/(-36777)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(343)*4)**2 + -3 - 3*(3 + (sqrt(252))**2 + 3).\nAnswer: 48615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 h when four letters picked without replacement from tthhhht.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 744*c**2 - 566*c**2 + 3237*c**2 as t*c + g + k*c**2 and give k.\nAnswer: 3415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -g - 57 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 - -2. Let d = 0.3 - x. Let k = -0.3 - d. Which is the third biggest value? (a) 3 (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w**2 - 46*w + 25. What is the least common multiple of (-2)\/(-13) + (-99)\/(-117) and k(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -418, 1 in increasing order.\nAnswer: -418, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 192 = 4*j, 25*k - 24*k + 5*j = 28. Let i(g) = -53 + k - 6*g - 20*g. Let o(h) = 3*h**2 - 4*h**2 + 2*h**2 + 0*h**2. Determine i(o(q)).\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 815280000 to the nearest 1000000.\nAnswer: 815000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9 + (-106970)\/57*(-612)\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -13 - -12 - 9.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1181 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k + 1. Let w be i(-2). Suppose 0 = 2*t - 5*t + w. Let j be 51\/12 + 2\/(-8). Solve -t = -p + j*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:37 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r - 15. Let n(m) = 2*m**3 - 6*m**2 - 5*m - 5. Let a be n(r). Let c = 1531\/4 + a. Find the common denominator of -73\/18 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(1 - (-1 + 0)). Suppose g*x + 28 = 4*w, 2*w + 3*x + 2 + 0 = 0. Let b be (-3)\/(-2) + 45\/18. Solve -z + 16 = -b*d, d - w*z + 15 = -8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 12. Let t(v) = -v - 12. Let n(l) = -6*i(l) + 7*t(l). Let a(h) = -11*h - 138. Let s be a(-12). Give n(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660 divided by -132.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q - 132 = 0. Calculate the greatest common factor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 42*i + 1. Let g be p(1). Suppose 4*n - g = 181. Suppose 0 = 3*t - 1 - 23. Calculate the greatest common factor of n and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 65 = -21. Let a = 1740 + -1173. What is the remainder when (-2)\/(-3)*a\/18 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0411 times -3\nAnswer: -0.1233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -19. Let m be ((-4)\/(-2))\/((-6)\/c). Suppose h - 4*h + 60 = -3*x, m*x = -15. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70715136.\nAnswer: 2, 3, 92077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 h when three letters picked without replacement from hwrrrswrwwhsrrorrw?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -642 - 1?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t. Let s(g) = 2*g - 1. Let j(n) = -1. Suppose -4*v + 7 = w + 2*w, -2*v + 5 = 3*w. Let o(y) = v*s(y) - j(y). Determine -2*i(l) + 2*o(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p*s**4 - 2*p*s - 74230*p + 161972*s**4 - 1 wrt s.\nAnswer: -24*p*s**2 + 1943664*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -9*f**4\/8 - 187*f**3\/6 - 131*f**2. Let z be y(-7). Solve 4*w - 3*w = -d + z, 0 = -w + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 11:09 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -28*t**3 - 1932*t**2 + 1956*t - 288. Calculate r(-70).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 435 - 637. Which is smaller: -203 or s?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13145 divided by 55?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6*5\/10)\/((-6)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = i - 420 - 648, -i - 267 = -h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000164249 rounded to 7 dps?\nAnswer: 0.0001642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10166\/9 + (-380)\/(-855) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344 - -350 - (-7 - 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11521000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(-8 - -4). Suppose -x = -2*s - 9, s = 4 - 7. Factor 21\/5*n**4 - 24\/5*n**x - 6\/5*n**5 - 3\/5 + 6\/5*n**f + 6\/5*n.\nAnswer: -3*(n - 1)**4*(2*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 3, b: 1, l: 1, e: 4, j: 1}. What is prob of sequence kv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1398 * -0.1.\nAnswer: -139.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -315 - -395. Calculate the remainder when x is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 8*n**2 + 15*n. Let i be j(5). Suppose -8*g + 23 + 65 = i. Calculate the remainder when 30 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 < 17932197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -426, -343, -254, -159, -58?\n\"Answer: 3*u**2 + 74*u - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57616 by 7202.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhjq when four letters picked without replacement from jqhhhjfhhhf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (109 + 118 + 68 - 202)*(-2*n**2 - n**3 + 2*n**2) to the form i*n + o*n**3 + f + j*n**2 and give o.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21597531 divided by -7199177\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121*c**3*i**4 + 20*c**3*i - 1426*c - 256*i**4 wrt i.\nAnswer: -1452*c**3*i**2 - 3072*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o - 44. Let m = o - -11. Solve m*p - 2 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 4*x - 2*x + (1 - x - 1)*(3 + 2 - 6) - 3*x + 2*x - x + (0 + 2 - 4)*(3 - 3 + 2*x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/9 - 17846*b**2\/9 - 250156*b\/9 - 79440 = 0. What is b?\nAnswer: -10, -4, 8937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34809 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8819 + 8862 + 27 + 1?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 671\/273 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 4:34 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -3, 7 in decreasing order.\nAnswer: 7, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 19*j = -21*j - 11880. What are the prime factors of j?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: (3 - ((-1128)\/(-52) - 8) - -11)\/(-2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 20 = -2*m, 5*w + 4*m + 0*m + 25 = 0. Let s be 441\/((-5 - -10)\/w). Let t = s + 646. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*-5*9\/45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -279649, -559299, -838947, -1118593?\n\"Answer: a**2 - 279653*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - o. Let l be q(1). Let r(c) = 18*c + 72. Let k be r(-3). Suppose -l*u - k = -5*b + 2*b, 36 = 4*b + 2*u. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/(-5) - (-5)\/25. Let k = -46 + 68. Let f = k + -22. Solve f = -5*s - l - 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -409, 1108, 3645, 7208, 11803?\nAnswer: 17436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, i: 1, y: 3}. Give prob of picking 1 o and 2 y.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3630124715 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p + 331. Let b = 497 + -517. List the prime factors of m(b).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y**3 - 72*y**2 - 185*y - 2. Calculate r(-4).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h - 73. Let g be i(9). Suppose g*o = 18*o + 6032. Does 29 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5288688*b**4 + 10348075*b**2 wrt b.\nAnswer: 126928512*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1506.7 - -1507. What is the third biggest value in -1, -22, j, -1.2, -3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -839*l + 15 = -834*l. Solve -29 = 4*n - l*x, 4*n + 35 = -0*n + 5*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:45 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 15*g**3 + 54*g**2 + 4*g - 72.\nAnswer: -(g - 18)*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -4, -18 in increasing order.\nAnswer: -18, -4, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1794296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/12 and 43\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19596\/7 - -2791. Find the common denominator of 8\/6*(-750)\/80 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 - 45 + 6*k + 59 - 140 - 28 - 2*k to d*k + b + i*k**2 and give b.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -267 + 9*b - 18*b - 45*b + 29 - b**2. Is h(-36) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -p - 12. Sort p, -4, 1 in ascending order.\nAnswer: -4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.001 - -0.104. Let l = -0.105 + j. Let h = -27 + 29. What is the smallest value in l, 0.3, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m - 3. Let l be a(-5). Let f = 67 - l. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r - 2143*r**2 - 5550*r**2 - 8 - 6*r + 2074*r**2 wrt r.\nAnswer: -11238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -3\/10599106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -4*v**3 + 31. Let r(x) = -2*x. What is a(r(i))?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38604.156 - -16.\nAnswer: 38620.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - i + 3. What is y(-6)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*p**2 + 310 - 152 - 157.\nAnswer: -78*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22012700 rounded to the nearest one hundred thousand?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4118*m**2. Let s(h) = 73592780*h**2. Determine -53612*l(x) - 3*s(x).\nAnswer: -4124*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17928088 + 0.246.\nAnswer: 17928088.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3736 + 3703. Let c be (-142)\/(-3) - (-1)\/(-3). Let w = r + c. Solve -3*l + 2*z = w, 0*l + 5*z = 2*l + 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -168, -297, -448, -621, -816, -1033, -1272?\n\"Answer: -11*g**2 - 96*g - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -763143, -3, -1.73?\nAnswer: -1.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4\/5, 0.5, 0, 0.877, 0.4?\nAnswer: 0.877","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180 + 50. Let o = -114 - g. Suppose -34 + o = -2*x. What is the highest common factor of x and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2 + 3*p. Let x = 0 + -2. Let h be r(x). Find the common denominator of h\/63 + (-269)\/(-63) and 11\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.372 + 0.1. What is c rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4807 = 3*b + 921, -5*x - 6485 = -5*b. Suppose 2*g - 1324 - b = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o - o + 2*o**2 - o**3 + 0*o**3 + 1 - o. Let s be k(3). Suppose -s = -3*z + 8. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**5 - 2*n**2 + 0*n**2 + 0*n**2)*(1 - 2 - 2).\nAnswer: 3*n**5 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 21 = -4*t, 12*f - 9*f = -5*t - 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:37 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7ca (base 14) to base 3\nAnswer: -2010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*j = -3*m - 2, -5*m - 5 = 5*j. Let w(z) = -z - 1. Let o be w(m). Factor o + 2*d**2 - 2*d**2 - 2*d**2.\nAnswer: -2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 9971 - 30278. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(0 + 1)*2. Let t = -0.304 + -7.396. Let a = 1.7 + t. What is the biggest value in a, u, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41377680, -41377675, -41377670, -41377665, -41377660, -41377655?\n\"Answer: 5*t - 41377685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -976971, -1953979, -2930987?\n\"Answer: -977008*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let f(u) = -25*u - 33. Let n(t) = -325*t - 430. Let g(b) = 40*f(b) - 3*n(b). Let w(m) = -m - 1. Let o(i) = -g(i) + 30*w(i). Determine d(o(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/(-2 + 68\/30) + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -16 + 4*j**2 - 171*j + 317*j - 185*j. Give x(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 203*f - 733. Let k be m(105). Let u(a) = -3*a**2 + 5*a + 1. Let r(q) = 16*q**2 - 26*q - 5. Calculate k*r(w) + 11*u(w).\nAnswer: -w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -3\/2*k**3 - 1\/60*k**5 - 13\/24*k**4 + 0*k - 4*k**2 + 0. List the prime factors of t(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-23\/2))\/z)\/z*z)\/(z**(-19)\/z) assuming z is positive.\nAnswer: z**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 9:11 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112 and 19.\nAnswer: -2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -1\/8986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000397594 rounded to six decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1093*p*s**2 + 21*s**2 - s wrt p?\nAnswer: -1093*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170238857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*s = 1984 + 1006 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 - z. Let d(m) = 6*m**2 + 3*m. Let r(q) = -4*d(q) - 9*h(q). Suppose r(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + -2 + 5) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 20031231?\nAnswer: 20031301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 126\/25?\nAnswer: 126\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 2886051?\nAnswer: 11544204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5131304551 - -11?\nAnswer: 5131305002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {h: 3, k: 2, a: 1, n: 1, i: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -0.573552.\nAnswer: -3.573552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-886 - -890)\/((-114)\/(-15) - 2\/(-5))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*v - 30, 3*b - 4*v - 10 = 20. Let p be (-19)\/(-95) - 42\/b. What is the units digit of (p\/(-10))\/((-16)\/(-1280))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -11 (b) -3\/8 (c) 6\/7 (d) 1\/121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -1\/30*o**5 + 0*o + 0 - 2*o**2 - 1\/3*o**3 + 1\/12*o**4. Let a = -6 + 8. What is x(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 807.\nAnswer: 2421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16405, 20490, 24575, 28660, 32745, 36830?\n\"Answer: 4085*n + 12320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -276805 != -276802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 1001?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 406*k + 3. Let p(q) = -2*q**2. Determine a(p(i)).\nAnswer: -8*i**4 - 812*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -173, 5 in decreasing order.\nAnswer: 5, -5, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c + 2*c - 4*c + (1 - c - 1)*(-6 + 2 + 3) + 66*c + 589 - 589.\nAnswer: 71*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -97*t + 33*t + 25*t + 31*t. Let b(d) = 7*d**2. Give m(b(q)).\nAnswer: -56*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 1, -1.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to -1\/7271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 9:18 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1095, -1029, -921, -777, -603?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 372 = -0*h. Solve -2*w + 8 = 2*r, -3*r + 13*w = 17*w - h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**2 - 13091*y + 609933. Give q(48).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*w + 8. Let f(a) = a**3 + 12*a**2 - 18*a - 66. Let l be f(-13). Let z be w*(-2)\/(-4) + l + 1. Let j(k) = -3*k - 1. What is j(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1143\/479332 - -7\/3604. Is -1 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -1. Let x be ((-90)\/24)\/(78\/(-104)). What is the highest common factor of b and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27816825.\nAnswer: 3, 5, 370891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*h - 136*h - 2*q = 0, 3*h = 3*q. Let f = 10 + -3. Let g = f + -6. Which is the second smallest value? (a) g (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqmzokmqmkzoqmqmkqa. Give prob of picking 1 k, 1 q, and 1 z.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebeeeqbbbmbmbbb. Give prob of picking 3 b and 1 q.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 = 247226\/461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 23 - 65. Let i be (g\/(-6))\/(5\/(-20)). Let r be 1*4 - (-56)\/i. Is r at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 606649278 by 2614.\nAnswer: 232077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 15821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/7 + 59\/21. Find a such that -2\/3*a**4 - a**2 - 1\/3*a + b*a**3 + 1\/3 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/35)\/((-2)\/7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3 + 271*d - 102*d + 1 + 344*d in the form i + u*d and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 23, 38, 69, 122, 203?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5 - 7 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/20)\/(6\/(-20)). Let s be v\/(-4 - 6999996\/(-1750000)). What is s rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + -0.58. Let s = 24.8 + -24. Let y = 0.9 - s. What is the third smallest value in 1, o, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-233)\/(29358\/1755) - (1 - (-26)\/(-28))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 439\/(-3) + 6\/(-9). Let c = 5873 - 6101. Let j = u - c. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(12)\/sqrt(4)) - (-2*sqrt(245))\/sqrt(7))\/(sqrt(720) + sqrt(720)*-1 + sqrt(80) + -2*sqrt(80) + sqrt(5)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1970478.361 - 0.605.\nAnswer: -1970478.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 10 = 11*c - 8*c, -4*c = 3*u - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 11. Suppose 8 = x + x. Calculate the remainder when j is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.44345 kilometers in micrometers?\nAnswer: 42443450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -5*y**7\/7 + 2*y**3\/3 - 6. Find the third derivative of l(w) wrt w.\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 13. Suppose -k = k + 8, q - k = 22. Let h be ((-12)\/16)\/(q\/(-48)). Solve -2*y + s = h*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 3\/19, -0.1, -1, -66, 3?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4324 (base 6) in base 11?\nAnswer: -819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 4\/3*l**4 + 0*l**3 + 8*l + 2 - 44*l**2 + 1\/20*l**5. What is the first derivative of c(w) wrt w?\nAnswer: 3*w**2 + 32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 5. Let f(o) = 5*o - 6. Let n(g) = 14*g - 18. Let a(u) = -11*f(u) + 4*n(u). Let b be a(2). Let m be w(b). Solve -5*q - 2 - m = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, 16 in descending order.\nAnswer: 16, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 8*d + 5*s - 10, 4*d - 2*s + 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48506632 is divided by 83?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 4. Let l(d) = -5*d - 9. Let c(x) = -4*l(x) + 9*w(x). Let t(o) = o**2 + o**2 - 3*o**2. Give c(t(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = -3*u - 66, -5*u - q = 102. Let a be (u\/(-5))\/(-4)*(-4)\/(-2). Let i(p) = 3*p**3 - 2*p - 1. Let c(x) = x**3 - x - 1. Determine a*c(k) + i(k).\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3504 divided by -17\nAnswer: -3504\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.61 * -247.\nAnswer: 1138.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1065921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.546*0.5.\nAnswer: -0.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*g**2 - 3*g**2 + 0*g**2)*(4*g - g + 0*g) - 17*g**3 - 26*g**3 + 16*g**3)*(5 + 4 - 2) to the form o*g + u + q*g**3 + h*g**2 and give q.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 635 times -574\nAnswer: -364490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -761 or -103699\/136?\nAnswer: -103699\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1020376490 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169.1 - 168.7. What is the second smallest value in r, -4\/5, 36?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30156.9 - 30157. Sort 4816, -1\/8, p in descending order.\nAnswer: 4816, p, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iciiiicciiiciilcc. Give prob of sequence cii.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 26*g - 3. Let l be m(-26). Let s be ((-30)\/(-75))\/(((-1566)\/10)\/l). Is s != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 0.4. Let b = 10.8 + -6.7. Let g = b - 4. What is the nearest to g in 1\/2, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(-4 + 0 + 2)*(-c**2 - c**2 + 4*c**2 + 5*c**2 - c**2 - 24*c**2 + (-4 + 4 + c)*(-1 + 1 - 2*c)) to z*c + v + g*c**2 and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 - 3*t**5 + t**5 + (t**2 - 4*t**2 + t**2)*(0*t + 0*t + t**3) + 2*t**5 - t**5 - 2*t**5.\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = 5*q - q, -5*o - 10 = 0. What is the greatest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*y - 145*y = 4164. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 4*k + 2. Suppose 2*o - 3*q = 12 - 13, 14 = 2*o + 2*q. Give j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -349*a**2 - 1. Let o(q) = -458*q. Give o(n(p)).\nAnswer: 159842*p**2 + 458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -x - 344 + 23, 4*x = -3*t + 949. Let f be t\/5 - (-2)\/10. Suppose 12 + 20 = 4*i. Calculate the highest common factor of i and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = v + q, -2*q - 20 = -3*v. Let i be v\/2 - (-1 + 0). Suppose i*r + 1 = 21. Put r, 5, -2 in descending order.\nAnswer: 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 4*b + (-18 + 35 + 67)*(3*b + 2*b - 4*b))*(-1 - 5*b + b + 0).\nAnswer: -348*b**2 - 87*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1865112?\nAnswer: 2, 3, 77713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -16 - (2 + -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (0 - (4 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.3 - -9. Suppose -3 = 2*k + 3*v + 3, 2*k + 2*v = -2. What is the nearest to -1 in a, 0, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 309 and 21?\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001782430392 to seven decimal places.\nAnswer: 0.0017824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2473*g. Let p(l) = 19778*l. Give 4*p(a) - 33*v(a).\nAnswer: -2497*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 9*p - 4. Suppose p*d = -5*j + 3*d, j + 3*d = 0. Suppose j = -6*m + m. Solve -4*y = -3*l, m = 2*y - 4*l - l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/3210?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68*130*141\/36660?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c - 2*c - 770. Let i = 32911\/42 - 2342\/3. Find the common denominator of (198\/63)\/((-89)\/c - 1) and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176 + 1176 - 12*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -76*x + 27. List the prime factors of s(-5).\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.352 - 0.272. Let n = q + -12.2. What is n rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3036870608.\nAnswer: 2, 31, 37, 165479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11*o - 84*o - 29*o - 21*o + 0.\nAnswer: -145*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610263607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95315885 or -95315884?\nAnswer: -95315884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 20246*f - 121463. Calculate t(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p - 16281 = -981. Let m = p + 279. Which is smaller: m or -691\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 41*q - 114. Let l(k) = 7*k**2 + 272*k + 798. What is 20*a(i) + 3*l(i)?\nAnswer: i**2 - 4*i + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -ba1d9?\nAnswer: -ba1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 2914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2526\/7*s - 3\/7*s**2 + 0.\nAnswer: -3*s*(s + 842)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d. Let s(t) be the first derivative of t**6\/360 + 8*t**3\/3 - 7. Let u(n) be the third derivative of s(n). What is c(u(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/4)\/(-6)*6. Suppose c = -2*u - 17, 2*u + w*u = -2*c - 40. What is the units digit of (-1)\/1*u\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-4)*v\/(v*v**(-11)*v))\/((v*v**(-12))\/(v*v*v*v**(-4))) assuming v is positive.\nAnswer: v**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/476745 and 133\/14430.\nAnswer: 12395370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300207 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4071*p**3*w**3 + 369116*p**3*w**2 - 43*p**2*w**5 wrt w.\nAnswer: -24426*p**3 - 2580*p**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13797499120 from -0.08.\nAnswer: -13797499120.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -55*a + 155*a + 7*a**2 + a**3 - 42*a - 36*a - 60 - 34*a. Determine t(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-12) + (-8)\/(-3). Suppose m = -f + c*m + 11, 0 = -3*f - m + 12. Suppose 14 = 5*s + i, 2*s - 3*i + 1 + 7 = 0. Sort s, 3, f in ascending order.\nAnswer: s, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10176 + 10555.81. Let w = -378 + l. Round w to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200 + -199.9. Round o to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, -53, -85, -121, -161, -205, -253?\n\"Answer: -2*d**2 - 22*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -4da?\nAnswer: 4d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64.5875 + 65. Let t = 0.44 - s. Round t to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361.09 - -5354.1008.\nAnswer: 4993.0108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + (-7 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 + 382*k - 757*k - 12*k**2 + 385*k + 42. Let i(c) = 15*c**2 - 8*c - 43. Let y(l) = -4*i(l) - 3*s(l). Differentiate y(o) wrt o.\nAnswer: -30*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2\/4 - 363*l\/4 - 12060 = 0.\nAnswer: -80, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 39*n**2 - 485*n + 5. List the prime factors of s(18).\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 423*g**3 + g**2 + 470*g?\nAnswer: 2538*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03007 greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 1162 - 5456. Let z = w + 219. Let h(s) = -s - 7. What is h(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142\/5 or 28?\nAnswer: 142\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7363 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 128.50214\nAnswer: -12.850214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 97*l**2 + 2*l + 2. Is p(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s, 0 = -d - 2*s + 4572 + 3910. Suppose d + 4720 = -2*t. Round t to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.33497 + -114.\nAnswer: -115.33497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - 73*g - 128. Is d(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*b + 133*t = 1150*b + 145, 0 = 3*t - 3 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/2)\/(0 + 2). Let l = d + -18. Does 8 divide l*(1 - (4 + -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + w. Let s be h(1). Suppose 5*l + 2*b = 45, 0 = -4*l + s*b + 7 - 4. Let j(c) = 5*c + 2. Is j(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2686827697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -10) + -27 + -10 + 38?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 9*m**2 - 7*m + 10. Let u be r(-8). What is the remainder when 21 is divided by 2 + u + 9 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 1. Let r = j + 55. Suppose -6*z + 180 = r. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43391 - 24891. What are the prime factors of x?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -2. Let h = p - 11. Suppose h*l - 12 = -3*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 1265.\nAnswer: 20240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2459024 divided by 5?\nAnswer: -2459024\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 286*f**4 + 90*f**2 + f + 2696637 wrt f.\nAnswer: 1144*f**3 + 180*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166 = -332*j - 3346 + 1192 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 1. Suppose 5*w - 20 = w. What is a(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 18. Suppose -w + q = -0*w - 2*x, w - 4*x = 12. Suppose w*t - 2*t + 4 = 5*m, -12 = 4*t. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 3*p - 7. Let r be q(-5). Factor -j + 3*j**3 + 3*j**r - 5*j**3 - 2 + 2*j**2.\nAnswer: (j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*q + 3*l - 47, -42*q + 55 = -37*q + 2*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-77) + ((-16478034)\/(-14) - 3). Round n to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-199)\/(-597))\/(((-6)\/(-1386))\/(6\/(-7)))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3226 times -237\nAnswer: -764562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455)*-1)\/(-1*sqrt(275)).\nAnswer: 9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 220803493 to the power of 1\/4, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(540) - (-2*sqrt(165))\/sqrt(11))\/((1*sqrt(2100) + sqrt(2100) + sqrt(2100))\/sqrt(7)).\nAnswer: -8*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77612.94 decades to millennia.\nAnswer: 776.1294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 82*p + 549. Let k be v(6). Solve y + 8 = -2*d + k, 5*d - 16 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-1 + 1)) + (-20 - (-7 + -2 - -23))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**4\/8 - 767871*h**3\/8 - 8189152245*h**2 - 232883110967400*h + 698723037864000 = 0.\nAnswer: -85320, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 955819 - 955816. Factor -15*y**2 + 1\/3*y**u - 43\/3 + 29*y.\nAnswer: (y - 43)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 23 + 206*u**3 - 207*u**3 + 5*u + 0*u.\nAnswer: -u**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 4 + 0)\/((1\/(-51))\/(22\/(-33))).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241\/23 - -5327\/414. Let z(a) = 2*a**2 - 13*a - 16. Let t be z(-8). Let n = -465\/2 + t. Find the common denominator of n and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -54884\/1207 = -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29245382 + 17.2?\nAnswer: -29245364.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1269, -341, 583, 1503, 2419, 3331, 4239?\n\"Answer: -2*b**2 + 934*b - 2201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/4)*y*y)\/(y\/(y*((y**(-1\/27)\/y*y)\/y)\/y*y)))**(-7\/5) assuming y is positive.\nAnswer: y**(-259\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*x, z = 3*z - 2*x + 26. Let c(p) = -p + p - 3*p - 3*p - 8530*p**2 + 8528*p**2. Let m(d) = 5*d**2 + 17*d. What is z*c(a) - 4*m(a)?\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1093, 38.1, 0.091, -0.1.\nAnswer: -1093, -0.1, 0.091, 38.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -370 and -4.297055838?\nAnswer: 365.702944162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.9. Let i = -0.38 + -0.02. Let w be ((-1)\/(-5))\/(4\/10). What is the second smallest value in u, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 35, -8, 36, -2, 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**3\/2 + 3685*t**2\/6 + 5285*t + 5080\/3 = 0?\nAnswer: -8, -1\/3, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1013231 + -23020?\nAnswer: -1041301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7914 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10316669\/11856 - -9\/3952. Which is smaller: i or 871?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 + 2*k**2 - 5*k**2)*(3 - 3 - k)*(4 - 1 + 3).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/13680 and 1\/117648?\nAnswer: 588240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(2*sqrt(637) + 3)**2.\nAnswer: 168*sqrt(13) + 5118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/(2\/12). Let d be (-1)\/(-2) + x\/(-6). Solve -3*l = d*v + 7, 3*v - 2 = 2*l - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 572.69 to the nearest 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218431 is divided by 72806.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(243)*-2 - sqrt(243)) + 2.\nAnswer: -sqrt(2)\/27 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85\/644 - 1\/92. Let o = -1 - g. Let k = 6 - 6.4. What is the second biggest value in o, 1\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1 + 0 + 1 + 4 + 1124999*r. Let h be (240\/18)\/(-4)*(-6)\/5. Let k be z(h). Round k to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212 + -102. Let u = -62 + n. What are the prime factors of 0 - -83 - (u\/8 + -10)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11517?\nAnswer: 3, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, b: 2, l: 1, t: 1, h: 1}. Give prob of sequence hm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by 11?\nAnswer: -105\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152902?\nAnswer: 2, 89, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, 9\/8, 0 in increasing order.\nAnswer: -190, 0, 9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 163?\nAnswer: 3\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -5 (b) -15 (c) 4 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -680 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -139*i + 20. What is the tens digit of z(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p + 13*p + 13*p. Let b(a) = -10*a**2 + 3*a**2 + 4*a**2 + 4*a**2. Determine g(b(v)).\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 + 7 - 0)\/(6\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*o - 27*o - 15. Let m = 0.29 - 0.3. Let h = m + -1.99. Which is the nearest to 2? (a) h (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.8303585 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57566 is divided by 318.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 divided by -5802.\nAnswer: -60\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393511017?\nAnswer: 3, 43, 3050473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3*v**2 - l**3*v + 495*l**2*v - 3493*v**4 - 2*v wrt v.\nAnswer: -4*l**3 - 41916*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4\/9, -0.35, 2, -0.4, -254.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 25*s**2 + 14*s + 4. Let z(w) = -3*w - 1. What is -g(f) - 4*z(f)?\nAnswer: -25*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2*18\/(-27)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c + 2*c + 210 = 0. Suppose 5*d - c = 5*n + 15, -2*d = -3*n - 9. Let k(r) = 2*r**2 + r - 4. Give k(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 8*k + 4. Determine p(-13).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11778, 23518, 35258, 46998?\n\"Answer: 11740*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-132)\/21 - (-4)\/14. Let u(m) = 2*m - m**3 + 0*m**3 - m - 6*m**2 + 6. Let g be u(z). Solve 0 = -g*o + 2*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-8)\/6*(-30)\/20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 2}. What is prob of sequence zz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*m - 7 + 19*m - m**4 + 3*m**4 in the form v*m**3 + b + f*m**4 + z*m + c*m**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.7 + -16.1. Let n = -0.3 - 0.7. Let f = 2.968 - -1.032. What is the nearest to n in -2, i, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545\/195782 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (12 - 8)) + -42 + -15 + 5\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-44))\/k**(2\/113) assuming k is positive.\nAnswer: k**(5083\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/54)\/((-7)\/(-1))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + 0*u)*(0*u**2 + 0*u**2 + 2*u**2) + (143 - 17*u**3 - 143)*(3 - 12 + 1).\nAnswer: 132*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8037.8946 + -8037. What is x rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/7)*b\/(b\/((b**22*b)\/b))*b)\/(b**(-2\/25)*b**(2\/3)))**32 assuming b is positive.\nAnswer: b**(388544\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, 0.09, 1\/4, 2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((3 + sqrt(272) + 2 + sqrt(272))*-5)**2 + -3).\nAnswer: 4000*sqrt(17) + 55644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7667032 to the nearest integer?\nAnswer: 2769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -7, 13, -45, 4 in increasing order.\nAnswer: -45, -7, -5, 4, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 v when three letters picked without replacement from pvpv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5847*r**2 + 675*r**2 - 60*r - 799*r**2 + 60*r as j*r + b*r**2 + m and give b.\nAnswer: 5723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4856049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -243\/107 or -2?\nAnswer: -243\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -809, -3377, -7705, -13799, -21665, -31309?\nAnswer: -42737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 17*z**2 - 165*z + 348. Give u(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5331 + -3277. What are the prime factors of b?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 78\/2009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 3. Suppose 4*o = o + 4*t - 25, 5*t = 3*o + 29. Let u(p) = 58*p - 24. Let i(k) = 20*k - 8. Let z(b) = -8*i(b) + 3*u(b). Give o*z(a) + 8*n(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 34*j**2 - 16*j + 1803. Give x(-36).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 3) to base 4.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 + -5 - (-17602)\/2964) + -1 and 35\/2.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgcccngcccnn. What is prob of picking 2 g and 1 n?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 3. Let q be c(5). Let h be -4*(-1 - q\/(-4)). Suppose 5*d - h = 29. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 17*p**2 + 8*p. Let c(g) = 16*g**2 + 7*g. Calculate 6*c(d) - 5*z(d).\nAnswer: 11*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 39*t**2 + t + 3. What are the prime factors of k(3)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 251? (a) -2\/7 (b) 0.0512 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 7*f - 46 = -3*f, -764*v + 6 - 827 - 681 = -2*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36253187 + -2.\nAnswer: -36253189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -518 * 27742.3\nAnswer: -14370511.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:05 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 319773 divided by -61?\nAnswer: -319773\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1145 + 1429. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 8 + -23 + 31 + 38 + 5\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 259 + 166. What is the remainder when 16388\/q - 3\/(-15) is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4 - 2)*8. Let o(k) = k - 14. Let j be o(15). Sort a, 2, j in decreasing order.\nAnswer: 2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*u - 5*f, -20 = -u + 5*u + 3*f. Let l(t) = t**2 + 6*t - 2. Let g be l(-7). Let d = g + u. Is 3 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3915, -3912, -3907, -3900, -3891?\n\"Answer: c**2 - 3916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2357.7993 times 31?\nAnswer: 73091.7783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/7)\/(v*v\/(v\/(v\/(v\/(v\/v**(2\/17)))*v))))**29 assuming v is positive.\nAnswer: v**(-11426\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*u - 193*u + 565*u - 1 - 24*u**2 - 186*u in the form w*u + p + s*u**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 497\/190 + -101\/38. Let u = x + 42\/95. Sort 0, u, 11, 4 in ascending order.\nAnswer: 0, u, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2. Calculate s(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 98 - 11914*s + 11923*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 131370\/1740 - 129\/(-6)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 8*r**2 - r + 52. Let f be s(7). Is 11 a factor of f - (-349 + -2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - ((-47 - -14) + 50)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 + i + 1 + 2*i**3 + 2*i**3. Let j = 0 + 0. Let x be q(j). Which is greater: x or 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/4 (b) 0.1 (c) -0.5 (d) 0 (e) -91.6 (f) 2280 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 5*6\/30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -23. Suppose -3*q + 9 = 0, -j*x - q = -4*q - 48. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 7 = 3*p, 14*p + 3 = 15*p - 2*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12526 - 378*t + 2*t**2 - 12526 as o + w*t + h*t**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -204, -1638, -5522, -13080, -25536, -44114?\n\"Answer: -204*x**3 - x**2 - 3*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*h**2*n**5 - 6*h**2*n**2 + 3*h*n**2 - 81093*n**6 + 67033*n**2 wrt n.\nAnswer: 2220*h**2*n**2 - 9731160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3925954 is divided by 1962977.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 + 9*p**2 + 11*p - 11. Let w be 0 + 3 - (-4 + -3). Let d = w - -1. Let v(i) = 3*i**2 + 0*i**2 - 4 + i**3 + 5*i - i. Determine d*v(x) - 4*y(x).\nAnswer: -x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24\/56*(15\/(810\/(-168)))\/((-66)\/2079)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/(-10))\/(117\/(-1560)) + 7. Solve -u*s = 71*s - 136*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttcttzecctctetttzuc. Give prob of picking 1 t and 1 c.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 32 = -2*o - 6*s, -66 = -5*o + 2*s. What is the second biggest value in 1, o, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*v + 1613, -3*b = -v + 249 - 1436. Calculate the smallest common multiple of 1194 and b.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -269 + 288.9. Let v = p + -19.315. What is v rounded to 2 dps?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -25 in descending order.\nAnswer: 4, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 2. Let j(s) = s - 2. Calculate 5*c(p) + 6*j(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2753 + -2255. Calculate the highest common factor of q and 1660.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/4)\/((-5)\/(-10)). Let j(a) be the third derivative of 1\/120*a**6 + 0*a + 1\/3*a**3 + 0 - 1\/20*a**5 + 0*a**4 + 2*a**2. Determine j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-36)*63 + -5. Which is the closest to 1? (a) -0.2 (b) -5 (c) l (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5 - 19 = -2*s, -12 = 4*w - 5*s. Suppose l - 5 = w*l, -2*f - l = -41. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**2 - 2245151650*o + 252035296574886125 = 0?\nAnswer: 224515165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 6656?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1450*n - 2842*n + 1516*n to m*n + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/147186 and 44\/12087.\nAnswer: 11627694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191 - -190.67. Let i = 1.67 - l. Which is the nearest to i? (a) -2\/15 (b) 3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cppvcs. Give prob of sequence svcc.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p - 3. Suppose 0 = 2*y + 3 - 19. Suppose 3*l - 5*l - y = 0. Let f be g(l). Solve -2*i - 2 = 3*k + k, -f*i - k = -13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*k + 6 = -8, 4*f + 2*k + 6 = 0. Let n be ((-5)\/3 + 1)*15\/f. Put 3, 4, 0, n in descending order.\nAnswer: n, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 + -43351\/295. Calculate the common denominator of 57\/20 and c.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3315, -6625, -9923, -13203, -16459, -19685?\n\"Answer: p**3 - 3317*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 59.2. Let a = 0.2 + 0.3. Put a, 2, t in descending order.\nAnswer: 2, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**3 + p**2 + 7*p + 12. Let o(v) = 5*v - 42. Let z be o(8). Does 14 divide t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 32*m**3 + 4*m**2 - 20*m + 131. Is c(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 182*r**2 - 2*r + 4 + 0*r.\nAnswer: 182*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -2 - 1 - (1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/18)\/(1\/(-9)). What is the derivative of 2*j**4 - g*j + 6 + 5*j - 2*j wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -24. Let p be w\/(-10)*75\/45. Solve -q + 3 = p*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35645.28 less than -1?\nAnswer: -35646.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Let c(b) = -b**3 + 4*b**2 + 6*b - 1. Let m be c(5). Suppose 4*h - m - 4 = 0. Let j(y) = h*y + 2*y - 7*y + 0*y. Give j(r(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + o**2 + 3*o - 7. Let p be q(0). Let g(h) = -2*h + 14. Let x(m) = m - 8. Let r(a) = p*x(a) - 4*g(a). Let c(z) = 3*z + 8. Determine c(r(t)).\nAnswer: 3*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 29. Suppose 5*c - 126 = -m - 39, 5*m = 10. Let p = d - c. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00441412461 to five dps.\nAnswer: 0.00441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1184*u**2 + 592*u**2 + 590*u**2. Let a(z) = 10*z + 1. Give n(a(h)).\nAnswer: -200*h**2 - 40*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*l**4 + 0)*((-425*l + 262*l - 164*l)*(-1 + 1 - 1) + (-2 - 1 + 1)*(6*l - 5*l - 2*l) + 4 - 4 + 7*l).\nAnswer: -672*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17525 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2412902 * -218\nAnswer: 526012636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0048 - 3.9952. Let j = 69 - 118. Let y be 1\/1 - j\/(-77). Which is the second smallest value? (a) -0.2 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 22*i + 110 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -1111?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from sushuxssuuh.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7406\/1127*(-28)\/(-40)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -239*s**3\/2 - 165*s**2\/2 + 292*s - 2. What is the derivative of t(w) wrt w?\nAnswer: -717","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5703.\nAnswer: 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -623 in -5, -6\/11, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1 - 11 = 0. Suppose 4*n + q = -5. Sort -2\/11, 0.01, n in decreasing order.\nAnswer: 0.01, -2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 18*j - 31. Determine z(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 21950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*2)\/sqrt(2))\/(sqrt(35)\/sqrt(175)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a factor of 290653440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*(18\/60)\/((-4)\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101101101001 (base 2) in base 16?\nAnswer: -1b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 332*f**3 - 2*f**2 - 20*f + 38. Is 54 a factor of p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 + -42 + 111 + 98\/(-8)\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 95 + 7 = 3*i, i - 5*r + 11 = 0. Let j be (i\/21)\/((-3)\/14). Calculate the greatest common divisor of j and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96012 = -0*j + 4*j. Suppose 23991 = -2*d - 3*u, 0 = -2*d - 0*u + u - j. What is d rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from bonbobf.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q*(q**(-2)*q)\/q*q)*q*q\/q**(-2)*q**(6\/7)*q\/q**9 assuming q is positive.\nAnswer: q**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 2*q + 18. Let d(o) = -o**2 - 2*o + 1. Let r(t) = 3*d(t) - i(t). Let j be r(-5). Solve j = -a - 4 - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**5 + 24*n**4 - 63*n**3 + 42*n**2 + 60*n - 72.\nAnswer: -3*(n - 3)*(n - 2)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19426 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14183457 to the power of 1\/2, to the nearest integer?\nAnswer: 3766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 61*v**5\/20 + 25*v**4\/12 + 67*v - 57. Let q(z) be the first derivative of o(z). Find the third derivative of q(s) wrt s.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184095 * 3.\nAnswer: 552285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 205\/4 + (-90)\/(-80)*(-4)\/18?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 13 + 12. Let g = 29 - 15. Let k be g\/21*(-3)\/16. Which is the second biggest value? (a) v (b) k (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -152 - (26 - (-61 - -56))\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177.8844 months to years.\nAnswer: 14.8237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 11) + -78 + 91?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2904 to 2 decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/28)\/((-52)\/(-182))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71165 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 53.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -291 - 8355.\nAnswer: -8646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 42. Let r(g) = g**3 + 7*g**2 + 4*g - 5. Let n be r(i). Calculate the greatest common divisor of n and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -2)*(3 - (-1124)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w**2 - 1. Let d(g) = 8*g**2. Calculate v(d(b)).\nAnswer: 640*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 62678, -1\/3, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54002993*u**2 + 76395735*u?\nAnswer: 108005986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5928 and 1672?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4784*l + 91512*l + 102750*l.\nAnswer: 189478*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111290240 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -446 - -1432. Suppose -4*x - 695 - a = -5*k, 2*k - 682 = 4*x. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -20?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/5*-3)\/((-15)\/(-45))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7272942?\nAnswer: 2, 3, 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87827.\nAnswer: 71, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-26)*15016\/(-48). Let a = i - -42\/13. Calculate the common denominator of a and -1 + 2 - (-81)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 433518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.924\nAnswer: -0.3696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 37. Let b(t) = -t**2 - 4*t - 3. Let y be b(c). Suppose 2*a - 5*n = 134, -4*a - 4*n = -y*n - 240. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10210253 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/4 - -7)*((-3)\/10 + (-23239)\/170)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*l**3 - 3*l**3 - 8 + 16*l + 4*l**3 as m*l**3 + n + w*l + s*l**2 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*f**3 + 18*f**3 - 10*f**3)*(0 + 0 - f) as p + k*f**2 + m*f + b*f**3 + d*f**4 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377628276 to the nearest integer?\nAnswer: 19433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2. Let t(y) = -y**2. Let c be (22 + 0)*(-11)\/22. Determine c*t(d) + 2*n(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 1.4?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127440*a**2 + 127443*a - 3 = 0.\nAnswer: 1\/42480, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(8\/(-726))*960\/90. Suppose 5*b - 2*i - 2443 = 0, 4*i - i = -4*b + w. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2\/11)*s\/(s*s*s**3))\/((s**(-3)*s*s)\/(s*s**(2\/19))))**26 assuming s is positive.\nAnswer: s**(-416\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 2, f: 1, t: 1, n: 2}. What is prob of picking 1 i and 1 n?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/30)\/(34\/(-10)). Let g = -10.435 - -0.035. Let z = g - -5.4. What is the third smallest value in z, 2\/21, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(242) + sqrt(242) - (-1*sqrt(242) + sqrt(242) + 3))**2 - (-3 + -1*(sqrt(2) - (2 + sqrt(200)))).\nAnswer: 57*sqrt(2) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5325005 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327527528?\nAnswer: 2, 40940941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 8:14 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(2\/(-18)). Let y = -1 + 2. Sort v, 4, y.\nAnswer: v, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 6579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 18*y**3 + 20*y**2 - 72*y - 112.\nAnswer: 2*(y - 2)*(y + 2)**2*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.128 - 2.121209. Round n to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26543, -53091, -79639, -106187, -132735, -159283?\nAnswer: -185831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2591.111 centuries?\nAnswer: 3109333.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 120 = -3*x + u, 2*u - 130 = -3*x. Let j be x\/(-112)*(-8)\/12. Let w = 0.1 + 0.3. What is the nearest to -0.4 in -0.4, j, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/78 + 4\/(-26). Let d be 12\/9*(-6)\/(-2). Let f be (5 + -2)*1\/2. What is the third smallest value in f, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*g - 5*w - 1006, 1513 = 3*g - 2*w. Suppose 301 = 8*s - g. What are the prime factors of s?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + i + 1. Let c = 5 - 2. Let t(v) = 8 + 3*v - 2 + 3*v**3 + 3*v + 4*v**c. Determine -6*f(z) + t(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(225\/15))\/((-2)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 29*g + 2788. What is the remainder when n(-5) is divided by 192?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 3953 (b) 0.1 (c) -0.097\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvevekekvevekeev. Give prob of sequence ve.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7694*j + 1233. Is m(35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -252511*i**2. Let y(z) = 30*z**2. Give x(y(a)).\nAnswer: -227259900*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7314 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4419669*c**5 - 868851*c**2 + 2 wrt c.\nAnswer: -265180140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**2 + 6*r + 1. Suppose 9*d - 276 = -37*d. Let c(x) = 10*x**2 - 7*x - 1. Give d*c(p) + 7*n(p).\nAnswer: -3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2305 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t, -20*p = -16*p + 2*t - 1200. What is the highest common factor of p and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 916 + -678. Which is greater: b or 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p - 3. Suppose -6*f + 5 = -13. Let g(h) = -3*h - 2. Determine f*s(t) - 5*g(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.7 and 0.001.\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x + 16. Put -0.1, -5, x in descending order.\nAnswer: x, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/30 - 5\/(-3). Let c be 6 + 1 + (-4)\/2. Solve h - q = -c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*24\/18*-1 + (-3 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5244?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4\/3, -2\/13, 133 in decreasing order.\nAnswer: 133, -2\/13, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3143 + -10205?\nAnswer: -13352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x**2 - 7*x + 8. Suppose -5910 = 29*t - 5968. Let q(b) = 4*b - 2*b**2 + 3*b**2 - 3*b - 1. Calculate t*k(o) + 14*q(o).\nAnswer: -6*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -124.39 + -167\nAnswer: -291.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m - 6. Let n be y(-4). Let g(t) = -4*t. Let b(c) = 5*c. Calculate n*b(i) + 7*g(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.572769 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1761961 + -5.\nAnswer: 1761956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r - 1. Let b(n) = -n**3 - 22*n**2 - 55*n + 37. Let c be b(-19). Calculate y(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/14)*p**(24\/7)*p*p\/p**(-13)*p**17 assuming p is positive.\nAnswer: p**(495\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 - 115.6. Let u = t + 0.83. Which is smaller: -2\/5 or u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b**3 + 754*b**3 - 343*b**3 + 33*b**3.\nAnswer: 476*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82543*k**3 - 7*k**2 + 22*k + 75 wrt k?\nAnswer: 495258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -747, -1\/2, 5 in decreasing order.\nAnswer: 5, -1\/2, -747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 1218 + 348 = 0. What is the lowest common multiple of l and 7?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -8) + 0 - (12 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232943 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53366?\nAnswer: 2, 26683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1227 divided by -20.\nAnswer: -1227\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 134 + -177 - (-1 + -4 + 3 + -3)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524.4124ns to microseconds.\nAnswer: 0.5244124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682*x + 686*x - 60 = 0. Solve -23*p + 18*p + x = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.006 (b) -4\/5 (c) 1\/3 (d) -1\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 15 - s - 15. Let h(o) = o + 3. Calculate -h(z) - 3*y(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 262383654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 4:00 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 667184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14196, -14248, -14318, -14412, -14536?\n\"Answer: -n**3 - 3*n**2 - 36*n - 14156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4\/4 - 2*w**2 - 2*w - 2. Let v(n) = -2*n + 3. Let y be v(3). Let i(g) = g**3 - g**2 + 5*g + 3. Give y*b(c) - 2*i(c).\nAnswer: c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = 5*l - 6, 3*m - 60 = 3*l. Let h = -10 + m. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1872) + 0).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -0*j + 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 12*i**2 - 12*i + 13. Let n be z(4). Suppose n*w = 34*w + 5250. What is w rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = -6. Let k be (-20)\/b - 2\/6. Solve -k*o + 0 = -5*c - 20, 0 = -2*c + o - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 646346748*a - 34813676554181292.\nAnswer: -3*(a - 107724458)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 147628682*l**2 - 145607193 with respect to l.\nAnswer: 295257364*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -112112?\nAnswer: 112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*t = 6*t - 138, -2*c = -5*t - 78. Let s = -12 + c. Suppose -5*w = -y - 152, w = 4*y + 6 + s. What is the remainder when w is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127 by 5.\nAnswer: -127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-3))\/((-6)\/(-252)). Suppose 13*x + 105 = b*x. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 401 = 671. Let m = p + -95. Calculate the remainder when 73 is divided by m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -f - 33. Round f to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242\/345 - 10\/23. Let n = -14\/165 + s. What is the second smallest value in -2\/21, -11, n?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*35\/378*54\/1440*-24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuiuiiiitihcipcuit. What is prob of picking 1 c, 1 i, 1 h, and 1 p?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 x when three letters picked without replacement from {e: 1, l: 3, x: 2, k: 6, v: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0758 * -20\nAnswer: -1.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -835\/437108?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 11*c**2 - 12*c - 2. Let n be s(12). Suppose -4*o - 5*v + 17 = 0, 0*v = -3*v + 15. Let d be (n - 0) + 4 + o. Which is bigger: d or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**4*y))**37 assuming y is positive.\nAnswer: y**(-185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + -4 + (sqrt(3) - (-3 + (sqrt(3) - (1*sqrt(3) - sqrt(3)))) - (-2 + sqrt(3) + 3*sqrt(3))) + 5)*-1.\nAnswer: -20*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-186)\/9)\/((-2)\/3). Suppose -4*y = -5*q - 37, -3*y + 5*q = -y - u. Suppose -y*z = -4*d - 229, -3*d = -2*z + 3*z - 85. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zfqqkzkqkr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j)**(-1\/28)*(j**0)**(4\/15) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3. Let q be r(-1). Let s = -418 + 12104\/29. Let l = s + 206\/145. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -3 (c) 34 (d) -0.3 (e) 2 (f) 5.2 (g) 7.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/7*(-24)\/100 - 9.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b + 316. Let u be w(0). Let t = 534 - u. What are the prime factors of t?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t**(-4)*t)\/(t\/(t\/t**(-7))*t**(-5)))**(-40) assuming t is positive.\nAnswer: t**(-440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 9 = -6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 3726?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879083 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11621 (base 8) to base 13.\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1041355, -1041367, -1041383, -1041403, -1041427, -1041455, -1041487?\n\"Answer: -2*w**2 - 6*w - 1041347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198356433?\nAnswer: 3, 11, 29, 207269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 + 121 + 0 + 2 + 6 + -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154891407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*n + 46*n - 24*n**2 + (-1 - n + 1)*(-3 + 3 + 2*n) - 5*n**2 + 2*n**2 + 5*n**2)*(1 + 3*n**3 - 1).\nAnswer: -72*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -5*a + 5*d, -8948*d - 48 = -4*a - 8946*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107126 is divided by 185.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-10)\/(-4))*2244\/(-408)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 87\/7 + 3\/(-7). Let u(a) = a**2 - 13*a + 16. Let j be u(y). Let f = 204 + -209. Put j, f, -4, -3 in descending order.\nAnswer: j, -3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94282638 divided by 15713773.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 + 42 = -4*r. Suppose -31 = -12*w + r. Sort 1, -14, w in descending order.\nAnswer: w, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6))\/((-1)\/(-4)). Suppose 0 = 3*v - v + 3*s + 3, v + 3 = -p*s. Let c(r) = r - 6*r + 6*r - v. Calculate c(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/6 - 35*l**2\/6 + 376*l\/3 - 544 = 0. Calculate l.\nAnswer: -51, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3.36 - -16144\nAnswer: 16140.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2161 - 610*d**2 + 1221*d**2 - 611*d**2 - 5*d**3 - 2161 + 19*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 1716*a**2.\nAnswer: 4*a**2*(a - 429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 394 - 346. Suppose 4*s - 33 = 5*o, 0 = -3*s + 5*o + 31. Let u be (8\/(-10))\/(s\/(-15)). What is the highest common divisor of a and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(7\/5))**(-15)\/(((u*u**(-3\/8))\/u*u**(-2\/11)*u)\/(u**0\/u)**44) assuming u is positive.\nAnswer: u**(-7607\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*t + 56 = 20, -8 = 2*t. Let o be 0\/(-2) + (-22)\/11. Let a = 0.01 - 0.51. What is the closest to 0 in a, b, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 795 and 1365068?\nAnswer: 20476020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:39 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -162 - 3064?\nAnswer: -3236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038708 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 112982447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/40)\/(0 + (-6)\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 7*i**2 - i + 7. Let l be d(7). Suppose l = 4*z + 10 - 2. Let y(c) = 712500*c**3. Let t be y(z). Round t to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 4*a**2 + 3*a - 6. Let s be (-5 - -7) + -2 + 0. Let v be 6*((-4)\/(-6) + s). Give r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*j = -14, -j + 2 = 3*t + j. Let v = -3 + 3.1. Which is the nearest to -0.2? (a) t (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36305 and -64955646.\nAnswer: -64991951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01186 + -2.14066. Let c = -15.5718 - u. Let d = 13.1 + c. What is d rounded to 2 dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**4\/102 + 16*x**3\/51 - 64*x**2\/17 - 2*x - 6. Factor f(t).\nAnswer: -2*(t - 8)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -256 - -281. Let f be (54\/(-30))\/((45\/a)\/(-3)). Solve 5 - 20 = f*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 74 = -59. Let j = -48 + 53. Solve -j*p - 5*b = 20, -5*p + b = 5 + t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3207*g**3 - 5*g - 5. Let x(w) = -w - 1. Calculate 5*x(s) - y(s).\nAnswer: 3207*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - a + 4*a - 4*a.\nAnswer: -a - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1582*-0.026\nAnswer: -0.0041132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*g - 7 = 2, -4*c + 2*g = -8. Let k = 25 - 7. Suppose 0 = -p - 2*z + k, 0 = -0*p - c*p + 4*z + 74. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*o + 55*o - 27*o)*(153 - 153 - 2*o).\nAnswer: -100*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -6 + 6. Let q(t) be the second derivative of v*t**3 + t + 3\/20*t**5 - 3\/2*t**2 + 0*t**4 + 0. Differentiate q(p) with respect to p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:41 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12 + (-5)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s + 2*m = -614, m = 2*s + 599. What is the common denominator of -51\/2 and 8\/(-24) + s\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 220 + -215. Find the common denominator of 13\/9 and (-8 + g + 375\/116)*-1.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**5 - 239*r**4 + 70*r**3 - 1108*r**2 + 58.\nAnswer: 240*r**2 - 5736*r + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 56*v**2 - 4*v + 6. Let w(r) = -226*r**2 + 16*r - 22. Let p(j) = 22*i(j) + 6*w(j). What is the second derivative of p(l) wrt l?\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/286*13 - 4\/(1 + 3)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114942 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1195, 0.1, 3, 0.3, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 297 - 297. Put -5, -4, t, 1 in ascending order.\nAnswer: -5, -4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(35\/5) - -2. Let v(k) = -k + 3. Let z be v(7). What is the biggest value in z, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/21 - (-8)\/28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040966 rounded to 4 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/30576 and 125\/336.\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 8:57 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - -0.2. Let u = -11 + 10.84. Let i = u + -0.04. Sort i, n, -3.\nAnswer: -3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, and 1 y when three letters picked without replacement from {d: 1, f: 2, y: 4, p: 1, h: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + (-31)\/(217\/(-30366)).\nAnswer: 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {k: 1, b: 1, p: 3, j: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*r + 113820 = 1018*r + 254*r for r.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzjy when four letters picked without replacement from jjjjjyjjjyjjjjzjzyjj?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(612) + sqrt(612) + -1*sqrt(612) - sqrt(612))*-5 + -5 + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1873 + -1211. Let w = n + -660. Solve -16 = -w*o - 4*c + 8, 25 = 5*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -189039254073 + 189039264846.99994967. Let f = 10774 - u. Round f to 6 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + p**2 - 3*p**2)*((0 - 3 + 2)*(2*p + 2*p - p) + 4 - 2*p - 4).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1417, 2792, 4163, 5530?\nAnswer: 6893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -696587\/330 + 12665\/6. Which is smaller: 7\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 862493 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-24) - (-2)\/3. Solve -5*k = -5*b + 15, -3*b + 2*k = k - h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 5*f - 12. Let v be (-1 - f)\/(-5 + (-14)\/(-4)). What is the second derivative of 2 + 9*l - 5659*l**4 + 5634*l**4 - v wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42947774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(144))**2 + (sqrt(432))**2.\nAnswer: 6915\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77551773?\nAnswer: 3, 13, 17, 53, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from fifiiff?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j + 3*j**2 + j**2 - 3*j**2 - 2 - 18*j. Calculate q(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -10. What is the units digit of 10 - (3 + (u - -3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6850 is divided by 6844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -1) + -103 + 115\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:45 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 19. Calculate the lowest common multiple of r and ((-39)\/(-6))\/(-13)*-16.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, s: 3, z: 1}. What is prob of sequence mzm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13492, 13846, 14410, 15184, 16168, 17362, 18766?\nAnswer: 20380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 24 - 4. Suppose 0 = -2*l + 8. Let m = n + l. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**5 - 33*g**4 - 117*g**2 + 60*g + 161 wrt g.\nAnswer: 20*g**3 - 396*g**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, -19.\nAnswer: -19, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.61529015307 minus 40?\nAnswer: -33.38470984693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -624 (base 8) to base 13\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 3*h**2 + 2. Let n = -3 - -9. Suppose 2 + n = 4*a. Let c be o(a). What is the highest common factor of c and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(114) - (sqrt(114) + -1*sqrt(114) + sqrt(114))))\/(-2*sqrt(6)*-4 - sqrt(6)) + (3*(2*sqrt(1900) - sqrt(1900)) - sqrt(1900))**2*5*-5.\nAnswer: -190000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 - 30 = -m, 2*m - 2*g - 62 = 0. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + 13*m**2 - 5*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1454666572 rounded to 4 dps?\nAnswer: 0.1455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - u = 0, 40*u - 22 = 2*j + 45*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 6:50 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s - 44*s + 55 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(7 + -6) - 126*-3?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60088 and 257520?\nAnswer: 1802640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175 or 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1583 = -n + 1217. Suppose 0 = -2*l + 348 + n. Suppose 0*g = 2*g - l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = h + 52. Suppose 5*d - 10 = 5*n, 0 = -h*d + n + 7 - 5. Solve -g + 7 - 2 = d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*n = -8, -4*g + 9 + 39 = 2*n. Let m(a) = -2*a**2 + 23*a + 3. Let p be m(g). Calculate the greatest common divisor of 44 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36228 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -110 + -33 - (2 + -30)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19464 at most as big as 19478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 151039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 - 42*l + 1. Let p be d(14). Suppose -p = 5*y - 16. Solve -3*f + y = -6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*a + 2)*(1 - 3 - 2)*(a - a + a).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 33*v - 204 = 0. Let f(t) = -t**3 + 16*t**2 + 59*t - 40. Let p be f(18). Calculate the highest common factor of v and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 12:38 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269774, 2158285, 7284242, 17266367, 33723382?\nAnswer: 58274009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10090 divided by -6?\nAnswer: -5045\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29687*d + 30455*d - 15360 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 860 = 6*u. Let p = 2922\/17 + u. Let q = -0.05 - -0.35. Sort 0, p, q in decreasing order.\nAnswer: q, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 12. Suppose 0 = a*u - 0*u - 160. What is the remainder when 61 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 217579 divided by -1\nAnswer: -217579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/157 (b) 0.04 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133.3270448 + 131.8071. Let d = v + 1.52. Round d to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*p**4 + 17671*p + 4081332 wrt p.\nAnswer: 84*p**3 + 17671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.5 (b) -1 (c) 0.037 (d) 4 (e) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-36))\/((-10)\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 7 = -0*a. Let k = 28 + a. Suppose -2*c + k = c. What is the smallest common multiple of 10 and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42\/2957 or 1.4?\nAnswer: -42\/2957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (48 + -11 + 12)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9\/206 + -179\/618. Which is the nearest to -4? (a) 0.3 (b) g (c) 1\/41 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(126)\/sqrt(2))\/sqrt(9)) + -1 + (sqrt(245)\/(sqrt(14)\/sqrt(2)) - sqrt(35))\/sqrt(5).\nAnswer: -6*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Let j(h) = h**f - 1 + 0*h + 3*h**2 + 4*h - 2*h. Give j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -825 + 825. Let g(l) be the third derivative of i*l - 6*l**2 - 1\/6*l**4 + 0*l**3 - 1\/30*l**5 + 0. Give g(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000685521574 to 7 decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 22*n**2 + 256*n + 19. What is the units digit of t(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -245, 2, -1.\nAnswer: -245, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**3 + 25*p**2\/2 - 3*p + 22. Give a(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1527*y**3 + 4632*y**3 - 1668*y**3 - 1511*y**3.\nAnswer: -74*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11682, -25300, -40856, -58350, -77782, -99152?\n\"Answer: -969*b**2 - 10711*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/5 (c) -162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -26618*f + 26618*f - f**2. Let k(o) be the third derivative of 3*o**4\/4 - o**2. Determine u(k(s)).\nAnswer: -324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**6 - g**4*l - 13*g**3*l - 2*g**2 + 58*l wrt g?\nAnswer: 120*g**3 - 24*g*l - 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/3600*-8*(-1)\/(-3)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72578 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*o. Let n = 109 + -115. Let u be (-884)\/1479 + (-4)\/n. Which is bigger: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.77100134 + -0.8940016. Let m = -0.123 - o. Round m to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k - 204. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-21))\/((-15)\/90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67, 126, 183, 238, 291, 342?\n\"Answer: -s**2 + 62*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1011?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.449749 rounded to three decimal places?\nAnswer: -30.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -102. Let w = 393 + -391. Let l be (-9)\/(-24)*3 + -1. Which is the nearest to -1? (a) f (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 14*n = 11 + 21, 0 = -2*b + 2*n - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8 and 27\/184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/2 - 2*v. Let s(t) be the second derivative of t**3\/3 - t. Calculate s(o(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001748441 to seven dps.\nAnswer: 0.0001748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 + t + 3. Let r be j(0). Let s = 118\/3 + -39. What is the closest to s in 0.3, r, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 10*n**2 + 13*n - 28. Let b be h(-7). Suppose -b*a + 376*a - 710 = 0. Suppose t - 2*t = -18. What is the remainder when a is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77874, -311434, -700686, -1245624, -1946242?\nAnswer: -2802534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**3\/3 - 7*i**2\/2 + 2*i - 1. Let d be c(-7). Let v = 5 - d. What is the remainder when 5 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let s = -314 - -313.8. What is the biggest value in -2, l, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 9680681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 7*u**5\/60 + u**2. Let r(z) be the second derivative of 5\/12*z**4 + 144*z + 0 + 0*z**3 + 0*z**2. What is i(r(n))?\nAnswer: 175*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -119346227 to the nearest one hundred thousand.\nAnswer: -119300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6, 2*m - 15 = -m - u. Suppose 3*r = 5*c - 457 + 1185, 0 = 3*r + m*c - 773. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12580 and 105?\nAnswer: 264180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 52. Let o(v) = 4*v**2 - v - 1. What is the remainder when c is divided by o(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -231 - -249. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 56. Let u = -24 - g. Factor 2*c**3 + u*c**5 - c + c**5 - 4*c**3 + 2*c.\nAnswer: c*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 less than or equal to 1560\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -75*c**3 + 3*c + 2. Let k be (-6)\/(-2) + 3 + 4 + -11. What is the units digit of o(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*g, -7 = 3*g - 0*r - 2*r. Let m = g + 7. Suppose -4*y = 4*s - 12, 3*s = -y - y + 5. Solve -y*j - m = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 + (-118 - -54) + -62.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166 + 189. What is the remainder when (-26800)\/(-208) - 4\/(-26) is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5326.651 tonnes to micrograms.\nAnswer: 5326651000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -4) + -1 + 5. Suppose 5*l - 56 + 46 = 0. Let f(t) = 3*t**2 + l*t**2 - x*t + 4*t. Let b(p) = -3*p**2. What is f(b(m))?\nAnswer: 45*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjc when three letters picked without replacement from {k: 1, b: 7, j: 2, l: 1, q: 5, c: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(300))**2 + 4 - sqrt(300))*-3 - (-4 + (3*(sqrt(3) + -1) + sqrt(12) + 4)**2).\nAnswer: -3684 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 645033 and 64643.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.947 rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50108392 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 1. Let v be d(3). Solve -3*x - 2*r + r = v, r + 15 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 2*g + 9. Let m(n) = 127*n**2 + 4*n + 32. Calculate -m(w) + 2*s(w).\nAnswer: -129*w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - z - 3*z)*(-2 - 9*z + 12*z + 6) as y + p*z**2 + h*z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 20 = -16*f. Suppose -f*j + 123 = g, -4*j = -3*g - 2*j + 284. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*h - 4, -3*h + 4*h - 24 = -5*v. Suppose p + 7*x = 4*x + 1, -v*p = -x - 43. Calculate the common denominator of 414\/40*p\/15 and -79\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5\/3 (b) -0.2 (c) -0.3 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 121 = 123, 4*a + 44 = 5*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g + 509*g**3 - 74*g + 82*g to the form b*g + z*g**2 + f*g**3 + r and give f.\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 25 in increasing order.\nAnswer: -5, -4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2038357469 + 178.\nAnswer: -2038357291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26455454?\nAnswer: 2, 47, 229, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/936936 and -83\/5040?\nAnswer: 9369360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 - 14*z**2 + 27*z**2 as s*z**2 + j + l*z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4484720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + a = -9, 4*j + 2*a + 7 = -a. Suppose 4*t - 3*v + 21124 + 3630 = 0, j*v = -t - 6194. What is t rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3256, -24116, -80748, -191038, -372872, -644136, -1022716, -1526498?\nAnswer: -2173368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2. Let q(g) = -2245*g**2. What is u(q(f))?\nAnswer: -5040025*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 2, 14, 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 10\nAnswer: 17\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 3*r**2 + 2*r**2)*(8*r + 58 - 58) + (-r**2 + 2*r**2 + 0*r**2)*(3 - 3 - 2*r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 5*z + 1, 228*z = 3*r + 233*z + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 26*u - 22, -5*n + 4*u = -69 + 60 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j**3 + 2*j**2 + 19*j + 18. What is the remainder when 88 is divided by a(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.058 and -3?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((31 + 30*c - 31)*(-17 + 12 - 18) + (-5 + 1 + 3)*(-2*c + 5*c - 4*c))*(0*c + 4*c + 0*c) to the form l + w*c**2 + n*c and give w.\nAnswer: -2756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 724 (c) 2895\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3 = -18. Suppose 4*m = s*m + 9. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 6 (b) 5 (c) 0.026 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -234*j + 113. Is l(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -228 - -271 - (-22 + 9 + -59).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 705 and 3227760015?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 7*k = -4*k - 8, 5*k - 20 = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2788180067 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4413458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from nnnnnnnwnnwnn?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -230\nAnswer: 22\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 12. Let f = 0.12 + -0.42. Which is the closest to f? (a) -1\/3 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.23503 times -12\nAnswer: 14.82036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 179941933 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + 167. Suppose q + 723 - o = 0. Round q to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 4*a - 5\/2*a**2 + 5\/6*a**3 + 6. Let i(k) be the first derivative of s(k). Differentiate i(t) wrt t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**3 + 2*v**2 - 2*v**2)*(-104 - 41 + 47) + v**3 + v**3 + 0*v**3 as n*v**2 + f + a*v**3 + x*v and give a.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 42\/673?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:26 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.31. Let t = 0.99 - o. Sort -3\/4, t, 3 in descending order.\nAnswer: 3, t, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 + 3*i**3 - 4*i**3 + (-1196*i - 586*i - 3021*i)*(-i + i - i**2) in the form f*i + v*i**2 + a*i**3 + u and give a.\nAnswer: 4805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.5 minus 233.695?\nAnswer: -371.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.4 (b) 0.4 (c) 349962 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 122555341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0528 less than -42785?\nAnswer: -42784.9472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 3. Let b be g(0). Let f(z) = -43*z - 1073. Let k be f(-25). Put k, 2\/5, b in descending order.\nAnswer: k, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1774*n - 8808. Determine u(5).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s + 16 - 16.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspm. Give prob of sequence pm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0\/(q\/(q**(-14)*q)) assuming q is positive.\nAnswer: q**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2\/5 - 359*m\/5 - 722\/5 = 0.\nAnswer: -2, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 9*w**2 + 16*w + 64. Give p(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2292, -5944, -10960, -17340, -25084, -34192, -44664?\n\"Answer: -682*k**2 - 1606*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7397, -7116, -6647, -5990?\n\"Answer: 94*u**2 - u - 7490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 10*j**2 + 15*j**2 - 4 + 2*j. Let u(s) = -14*s**2 + 12. Determine -4*u(p) - 11*z(p).\nAnswer: p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 + 21*r - 20. Let b(i) = -i - 1. Let u(o) = 6*b(o) + 2*p(o). Let c(n) = -4*n**2 + 24*n - 31. Let z(a) = -8*c(a) + 5*u(a). Factor z(d).\nAnswer: 2*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -82*b**2 + 14*b - 10. Let u(t) = -28*t**2 + 4*t - 3. Give 2*r(k) - 7*u(k).\nAnswer: 32*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 - -482\/5. Suppose -8*x + 12 = -11*x. What is the closest to p in -0.5, x, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 24*u + 4. Give r(7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(9\/10)\/(-9). Sort t, -0.4, -0.7.\nAnswer: -0.7, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1722217.172 + 0.6.\nAnswer: -1722216.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 21. Let v be k(7). Suppose 4*d + 0 - 4 = v. Solve -2*m = -5*o + 8, o - m + 0*m - d = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 110065\nAnswer: -4\/110065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68.7 - -2.7. Let n = -66.00000064 - u. What is n rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -635*p**5 - p**4 - p**3 + 569*p**2 - p. Let d(v) = -v**5 - v**4 - v**3 - v**2 - v. Let r(y) = d(y) - t(y). Find the third derivative of r(k) wrt k.\nAnswer: 38040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*w - 15, -w - 153*f + 154*f = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17 + -22 + (-156629)\/15. Let i = -10441 - z. Find the common denominator of i and 44\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -4 + 3 - (0 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 675 or 676?\nAnswer: 675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.4, -6\/17 in decreasing order.\nAnswer: -2\/9, -6\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 13 + 4 - 3*j**2 + 14)*((-17 - 13 - 6)*(2*j - 4*j - j) + 2*j + 2*j - 3*j).\nAnswer: -327*j**3 - 218*j**2 + 545*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -0*n - n. Solve -u + n = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 217 - 1517\/7. What is the closest to 0 in -0.1, 3, 2\/17, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 + 40*n**4 - 64*n**3.\nAnswer: -4*n**3*(n - 8)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 642*h**2 - 18*h + 85. Let l(n) = n**2 + 5*n - 2. Let b(w) = -5*l(w) - z(w). Find the second derivative of b(s) wrt s.\nAnswer: -1294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1247 divided by 756\nAnswer: -1247\/756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000658 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83584949551\/19465227360 - 607\/2261295. Let b = s - 306\/269. What is the common denominator of 37\/20 and b?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10538368 to the power of 1\/2, to the nearest integer?\nAnswer: 3246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 129, 215, 321, 453, 617, 819, 1065?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2731 - 11*k**2 + 2619 - 5350.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 5 (c) 19 (d) -0.5 (e) 30273\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 12:34 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3f (base 16) to base 4\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 7071 + 3*d - 7071. Let p(i) = -51*i + 5. Determine a(p(n)).\nAnswer: -51*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491355.\nAnswer: 5, 71, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 1757459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.959 - 40. Let t = d - 4.959. What is the second biggest value in t, -0.4, 1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 1 s when three letters picked without replacement from {y: 2, o: 4, r: 1, w: 2, s: 2, g: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 + (-6 - -2 - -6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 - 5*i + 5*i.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 43*g - 356. Let n be v(-6). Solve 0 = -n*i - 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*((-5 - -1) + 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 24*p**2 - 128*p - 1. Let h be x(-8). Which is bigger: h or 1\/435?\nAnswer: 1\/435","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuf when four letters picked without replacement from uufu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s - 10*s - s + 2*s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266380.\nAnswer: 2, 5, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:08 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 50*c + 302. Calculate k(-13).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 392, 716, 968, 1124, 1160, 1052?\n\"Answer: -4*d**3 - 12*d**2 + 388*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -79\/6. Let c = 588\/5 - 117. Sort -2, k, c in descending order.\nAnswer: c, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 2*g - 8. Let f = 0.06 + -0.16. Let i = -0.1 - f. Put g, -0.4, i in increasing order.\nAnswer: g, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -28*z - 23. What is the hundreds digit of w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**3 - 6*p**2 - 4. Let y(s) = 6*s**3 - 5*s**2 - 3. Give -3*f(q) + 4*y(q).\nAnswer: 6*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 123428, 248569, 373710?\n\"Answer: 125141*i - 1713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1411, -5675, -12781, -22723, -35495, -51091, -69505, -90731?\n\"Answer: a**3 - 1427*a**2 + 10*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = o + 14, 5*o - 3*x - 37 = -17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107813?\nAnswer: 131, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 120277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18201700 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*w = 5*w - 4*w - 3*s + 48, 3*w - s + 24 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -727330 (base 8) in base 9?\nAnswer: -407076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -6*(-2)\/(-4). Sort i, 0, -1 in decreasing order.\nAnswer: i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98190 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = b - 35, 3*b + 3*j - 5*j = 66. Suppose -3*a - 400 = -5*h + 65, -2*h - a + 175 = 0. What is the least common multiple of b and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-8))\/((-2)\/(-40)). Let f be 50\/(-12) - (-4)\/24. Let l be f*(0 + 2\/(-4)). Solve -l*w = w + u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 406415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - p + 2*z - 31 = 0, -2 = -3*p - 7137*z + 7124*z for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 + 4*j - 3 - 7*j + 3*j**2 + 2*j**2. What is r(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/99? (a) -0.8 (b) -0.08 (c) -2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p - 342180 = 60*p. Let c = p + 304812. Round c to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 3. Let h be j(13). Calculate the greatest common factor of 50 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1203 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/6 (b) -3.11 (c) 5 (d) -1 (e) -196\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7521054009 minus -4?\nAnswer: -7521054005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/21)\/(1\/12). Suppose -p + u*x = 22, 3*p - 2*x + 7 + 9 = 0. Let w(b) = b**2 - 21*b - 26. Let m be w(22). Sort p, m, 6\/5 in descending order.\nAnswer: 6\/5, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {h: 2, n: 2, p: 3, j: 6, d: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -30*c**2 - 3*c - 18. Let s(v) = v + 19 - 36 + 17. Let j(d) = o(d) + 3*s(d). Differentiate j(n) wrt n.\nAnswer: -60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or 61750?\nAnswer: 61750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose 5*h - 60 = 3*l, -3*h - 5*l + n + 0 = 0. Suppose 5*z = 2*z + h. Solve z + 9 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23808.69998 - 23809. Let l = -0.3 - u. What is l rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y - 131 = -5*x, -18168*y - 18160*y + 36331*y = 2*x - 36 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 a when four letters picked without replacement from {a: 13, f: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 80179220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.093? (a) 9 (b) -3 (c) -2.2 (d) -0.4 (e) 16\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 divided by -49?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 5, a: 4, j: 2, g: 2}. What is prob of picking 1 a and 1 i?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46221 is divided by 3073?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*h - 7. What is the least common multiple of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i**5 + 1\/6*i**3 + 0*i**4 + 0*i - 1\/40*i**6 + 2*i**2 + 0. Find the first derivative of r(y) wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1049828370 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 14*w**2 + 34*w - 6. What is b(-17)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 29. Suppose -4*a - 4 = -t. Suppose -5*l = -2*v - 3*v + 23090, -2*l = a*v - 13829. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + f**2 - 2*f + (0 + f + 0)*(131 - 131 - 19*f) to the form c + y*f + z*f**2 and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*w + 15500 = 189*w. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -37.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:30 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 8:21 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + 573?\nAnswer: 572.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - t = -23 - 22, 5*t - 18 = 2*s. Let i(z) = -z - 7. Let x be i(s). What is the common denominator of 81\/10*(-1 + x) and 1\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -k - 10, 6*i = 3*k + 2*i + 65. Let x = 27 + k. Solve 0 = 3*p - 3*o + x, -3*o = 4*p - o + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -325 + 328. Suppose 6201 = 5*i - l*h - 256, -i = 4*h - 1273. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 425740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*f - 168 = 65*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 7. Let h(w) = 1. Suppose -2*p + 6 = 0, -7 = s - 2*p - 4. Suppose 5 = 4*c - s. Let m be (0 + c\/(-5))*15. Determine m*h(r) + g(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) 0.037 (c) -4\/27 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206923 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -130715658 and -2.\nAnswer: 261431316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4736*2.\nAnswer: -9472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 - 11111?\nAnswer: -1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 22 = -58 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30 - 8*i + 1\/2*i**2.\nAnswer: (i - 10)*(i - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*q + 648 = 0, -2*q + 5*q + 1079 = -5*g. What is the units digit of ((5 + -4)\/2)\/((-1)\/g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -253 - -255. Sort j, -5, 1\/4.\nAnswer: -5, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52 + 4 - -1*2. Suppose o + 5*s - 39 = 0, -2*s - v - 32 = -2*o. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4880759 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {g: 1, q: 2, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002908443 to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 15 + (9 + -5 - 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tactaknnnnjj. Give prob of sequence cnnt.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3191320 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b - 1 + 1)*(-3314*b - 2811*b + 2478*b) in the form l*b**2 + q*b + p and give l.\nAnswer: 18235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.077972*0.2\nAnswer: -0.0155944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 6:37 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**3\/6 - 1559*r**2\/8 + 195*r + 10719. Factor j(q).\nAnswer: -(q + 780)*(2*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/39*(-5655)\/3132*-42?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2149.3065 + -2150. Let j = -58.9165 + w. Let f = -59 - j. Round f to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 16 + 18 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.85 + 0.05. Let v = 0.2 + -0.1. Let p = v + l. What is the nearest to -0.1 in p, 0.05, 3\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from tltlhhtlct?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00388022512 to 5 dps.\nAnswer: 0.00388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26117 and 70060718?\nAnswer: 3731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - p**2 + 3*p + 4. Let v be c(0). Find the first derivative of 26 + 3*t**2 - 3 + v + 3*t**2 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/10 + 100\/125. Solve -1 = -4*l + w*l, 0 = a + 4*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 12768.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/11)\/(a\/a**(-6)))**39 assuming a is positive.\nAnswer: a**(-2769\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 divided by -148?\nAnswer: 85\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 9. Let k be s(-16). Let b(h) = 5 + h + 6*h**2 + h + 4*h. Is b(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 312?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/15 - 46*n**2\/5.\nAnswer: -2*n**2*(n + 69)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 9*b**2\/2 + 9*b + 1401. Calculate m(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.36432.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (44 + 15 + (4 - 17))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(4*sqrt(36)\/sqrt(3)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10 + 7*j**2 + 6*j + 2*j - j**2 - 7*j**2. Does 5 divide x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1835059 and 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -4, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:19 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*u - k + 3*k, -4*u - 2*k - 6 = 0. Let h be 0\/(-1 - 1)*u. Solve 0*a - 2*a = h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 374 + -751\/2. What is the smallest value in 5, a, 0.05, -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33345435 (base 6) to base 4.\nAnswer: 3312131333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 3*v + v + 0*v in the form l*v + j and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 3*y**4)*(2 - 3 + 0)*(1 - 1 - 2)*(-1 + 1 + 2).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t - 51 = 3*n, -5*n = -5*t + 115. What is the common denominator of 25\/15 + 3 - -1 and 0 + (-2)\/(t\/(-75))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) 73 (c) 284 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 12*i + 14. Let r be q(10). Let x(t) = -18*t - 1. Is 5 a factor of x(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -213*y + 16. Let g be o(13). Let a(z) = -6*z - 54. Let d be a(-13). Let b = d - g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) -1 (c) -0.076 (d) 1\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (1 - (-1443 - 2)) - -4. Suppose -4*a + u = -558. Round a to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -34. Let h = 1 + i. Let l = h + -12.7. What is the closest to -0.1 in 0.2, -5, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6932, -27766, -62504, -111146, -173692, -250142?\nAnswer: -340496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from ccsscsccscsscccssss.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2687, 5375, 8063, 10751, 13439, 16127?\nAnswer: 18815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*h - 227*h - 169*h = 260*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 2, o: 1}. Give prob of sequence od.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/280*6*-7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**9\/(d**0*d) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343440 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2}. Give prob of picking 1 r and 1 g.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 x, and 1 q when three letters picked without replacement from {e: 1, h: 2, q: 2, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224 - -233. Let t(u) = -4*u**3 - 3*u**2. Let c(r) = 17*r**3 + 12*r**2 + 1. Determine i*t(m) + 2*c(m).\nAnswer: -2*m**3 - 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/957 and 20\/4611?\nAnswer: 50721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(-4*g + 4*g + 4*g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2bb295 - -21?\nAnswer: 2bb2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-21))\/((-12)\/(-10)) + 1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + s + 53597 = 0, -3*m - s + 76417 = -3966. Suppose -9*h - 45 = -18*h. Suppose -m + 976796 = h*o. What is o rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1275 by -51.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373189.\nAnswer: 157, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(5\/4))\/(z*z**(2\/7)))\/(z**1)**(1\/28) assuming z is positive.\nAnswer: z**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.213 to one decimal place.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28398.17 and -0.35.\nAnswer: -28398.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.10198 - 25.71834. Let c = v + 26.6179. Let n = -4 + c. What is n rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*i - 5. Find the common denominator of -9\/5 and 0 + i\/((-7)\/(-3)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -13832*a + 13836*a, 8 = -2*a for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Simplify (-3*(6*1*(-5 + (sqrt(468) - (1 + (sqrt(468) - (sqrt(468) + 0 + sqrt(468) + sqrt(468)))))) + 5))**2.\nAnswer: -60264*sqrt(13) + 1373337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.84, 1.045, -1\/6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374539205.\nAnswer: 5, 29, 2583029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1)*(-237)\/9. Let w = 27 + b. Let k = 26 + -26.3. What is the nearest to -1 in k, -4\/7, w?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0105 times 0.03\nAnswer: -0.000315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 120542017 = 3281761. Suppose 0 = -58*o + r + 183762. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(77) + (sqrt(77) - 6*sqrt(77)*1))\/(-1*sqrt(70)\/sqrt(10)*3).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.5 - -32.5. What is the third biggest value in 0, -3, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5674 + -5674.3. Which is the second biggest value? (a) 0.3 (b) 0.1 (c) -2 (d) p (e) 2\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802636778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 962627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79469, -155347, -231225, -307103, -382981?\n\"Answer: -75878*o - 3591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-34)\/(-24) - 1)*(-7)\/35. Sort 2, -0.1, a in decreasing order.\nAnswer: 2, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 260677*j**4 - 415191 wrt j?\nAnswer: 1042708*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.157 - 0.3. Which is the third biggest value? (a) 0.11 (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118 - (7 - 7 - (-17 + 6 + 26))\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 2*c**2 - 4*c**2 + ((c - 2*c - c)*(4 - 1 - 1) - 30 + 30 - 5*c)*(2*c + 2 - 2) to the form g*c**2 + d + r*c and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03330206 to 3 dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-21))\/(3\/21). Suppose n*i - 10 = 2. Suppose 0 = 3*t - 5*r - 173, -t + i*r + 183 = 2*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*v - 11*v - 23*v - 216 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143635 + -91862. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 70?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -3, -6, -11, -18?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**3 + d - 1. Let q be y(1). Suppose 70*o = 211 + 69. Solve 4*u - q = -3*m, o*u - 5*m + 4 = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*v = -5*n + 93, n = v + 13. Suppose 8*r - n = 39. Let h(l) = 35*l**2 + 11*l + 7. Is h(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -546, -590?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161*(27\/((-72)\/(-8)))\/((-168)\/(-16))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -71*f - 15. Let p(a) = -7*a - 69 - 17*a - 8*a - 3*a + 62. What is -13*p(z) + 6*s(z)?\nAnswer: 29*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 3*o + 2. Let t be p(-3). Factor 2*v**5 - v - 2*v**3 - v**5 + 2*v - v**4 + 0*v**3 + t*v**2 - 1.\nAnswer: (v - 1)**3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1))**23\/(q*(q*q**(-4))\/q*q*q\/(q*q**(-4)*q))*(q**(-4\/3)*(q**(1\/4)\/q)\/q)**(3\/2) assuming q is positive.\nAnswer: q**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f\/(f\/(f*(f*f**1)\/f))*f)\/f*f))\/f)\/f)**41*(f*f**11*f)**0 assuming f is positive.\nAnswer: f**(-164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010011100111110000 (base 2) to base 12.\nAnswer: 678894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4006444 and 7072?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**2 - t. Let m(f) = 8*f**2 + 4 - 5 + 2 - f**3. Let n be m(8). Give x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/111)\/(62\/30 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45293*m**3 + 18297*m?\nAnswer: -271758*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 189*i**2*p**2 - 2*i**2*p - 12*i**2 + 278*i - 13558*p + 47 wrt p?\nAnswer: 378*i**2*p - 2*i**2 - 13558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27505493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p + 67*p - 40*p - 138*p**3.\nAnswer: -138*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*m + 25*m - 44*m)*(2*m**3 - 3*m**3 + 2*m**3) + 2*m**4 - 259*m**4 - 45*m**4 as v + w*m**4 + h*m**2 + y*m + z*m**3 and give w.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114225 (base 6) to base 13.\nAnswer: 4742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 187 - 197 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.095 times 3\nAnswer: 0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k + 97. Let x be z(9). Suppose -19*u = -x*u + 15. What is the third smallest value in -1\/2, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:45 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 6*o - 4*o)*(3 - 2 - 3)*(-56*o**3 - 36*o**3 - 6*o**3).\nAnswer: 784*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 2*d + 21*d to the form q*d + s and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 + (-2)\/5. Let r = 10 + -14. Let a = r + 1. Sort a, 0.3, j.\nAnswer: a, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -204 + -1?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 9:16 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199594?\nAnswer: 2, 23, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u - 24 = 0. Let o be u\/(-10)*70\/189. Suppose -3*f - 3*k + 5 = -k, 13 = 3*f + 4*k. Which is the second biggest value? (a) 1 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrh when three letters picked without replacement from {y: 6, h: 4, r: 3, w: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 599060 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, 0.1, 1\/4, -0.19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b + 15*b - 3*b - 4*b to the form h + o*b and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56.7 - -59. Which is smaller: n or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (127*l - 66*l - 62*l)*(2393 - 453*l - 2393) to the form s*l**2 + g*l + z and give s.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-16)\/s*s*s\/((s\/(s\/s**(-2\/15))*s)\/s)*s assuming s is positive.\nAnswer: s**(-193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1751219 to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 42. Let s be b(13). Let y be s + (-119)\/(-35) - 514\/10. List the prime factors of (y\/15 + 3)\/(3\/(-1185)).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2547 + 2550. Solve 44*w - 3*h = 40*w - 29, -b*h = -9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-18 - -6 - -9). Which is the closest to 0.2? (a) 0.1 (b) 11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o**2 + 139*o + 469. Determine v(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(1568))\/sqrt(4).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 740\/(-6105)*(4 + -7).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0170379 rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/19992 and 181\/99960.\nAnswer: 99960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1349 - 1353. Which is the nearest to -1? (a) -131\/3 (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3, 76362918 in ascending order.\nAnswer: 1\/3, 3, 76362918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282 + -2717.\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*r - 71868 + 35940 + 35933 + 8*r.\nAnswer: -51*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 85. Let m be t(-13). Let z be m\/(-20) + -4 + -2. Which is greater: -27 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**2 + 8*s + 16. Let o be w(-5). What is the highest common divisor of 33 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6)\/sqrt(2))**2 + 1 + sqrt(3))*-6 - (sqrt(24) + sqrt(96)\/sqrt(4)*4)\/sqrt(8)) + (((2 + 1*sqrt(3))*-4)**2 - (sqrt(27) + 3)*2).\nAnswer: 47*sqrt(3) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3652*d + 3587*d - 1755 = 0 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -466*l + 610*l + 720. Let y(c) = c**2 + 6*c + 8. What is y(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 632153.389367799 - 4855.347370699. Let v = t + -627298. Let u = -0.042 + v. Round u to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29612520 greater than -207287642\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 111055.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 5218889651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022020202001122 - 10?\nAnswer: -10022020202001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6877 and 832?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*j, 2*s + s + j = 1109. Suppose 5*h = -5*m - s + 2326, -h + 1558 = 4*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/21 and -101\/2203586.\nAnswer: 6610758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 427, 425, 415, 397?\n\"Answer: -4*y**2 + 10*y + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4.189, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8.025. Round s to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5499, -21922, -49293, -87612, -136879, -197094?\nAnswer: -268257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(931) + 1))**2.\nAnswer: 126*sqrt(19) + 8388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1408 divided by 253.\nAnswer: -128\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2050?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.345*0.233.\nAnswer: 0.080385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7586 + 7672. Calculate the remainder when v is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127968 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-4) - 2)*0. Suppose 5*o - p = 60, p + j = -5. Let m = o + 100. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d - 4. Let a(x) = x + 6. Let h be a(-10). Determine q(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1371 + 1370. What is the nearest to 9 in 1, 2\/5, -2, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 13*l = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**2*l**3*y**2 - 2016*j**2*l**2*y**3 - 59481*j*l**3*y**3 + 531*j*l**2*y**3 - l**2*y**2 wrt l?\nAnswer: 30*j**2*y**2 - 356886*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 191451694 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51803 is divided by 1198?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*4 + 1 - sqrt(2)) + (sqrt(98))**2 + -3 - 6*((sqrt(128)*4)**2 - sqrt(2))*-1.\nAnswer: -3*sqrt(2) + 12384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**9\/2880 - 7*s**6\/240 + s**5\/3 + 7*s**2. Let x(g) be the third derivative of h(g). Differentiate x(j) with respect to j.\nAnswer: 63*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15862402033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x + 11*x + 13*x - 57*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 8*m + 1107. List the prime factors of ((-32)\/(-4))\/(6\/m - 0).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 10 = -2*u, 4*o + 482*u - 478*u = -8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495 by 99.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71248 - 85238 = -6*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2529898 is divided by 85?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170625421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -91632, -183204, -274762, -366300, -457812, -549292, -640734, -732132?\n\"Answer: f**3 + f**2 - 91582*f - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-147)\/(-2)*(-8)\/(-12). Let n = l - 91. Let p = n - -63. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13335 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: Is 92 < 58\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34 + 2*s - 89 + 2*s - 2*s - 6*s**4 wrt s.\nAnswer: -24*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 995978306 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -19.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 27 = 5*w - 2*w, 4*w + b - 36 = 0. Let r = 9 - w. Let c(p) = p**2 - 2*p + 2. Let g be c(2). Solve 2*i - l + 9 = g*l, 3*i + 2*l + 7 = r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-624)\/(-18) + 2\/9*-3. Suppose -n - t = -73. Calculate the highest common factor of 26 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Let h = 21.6 - 22. Which is the third smallest value? (a) -1\/4 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10132098 and 236415620?\nAnswer: 709246860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -37. Suppose 5*n - f - y = -2*f, -2*f = -3*n - 2. Solve 3*d = -n*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 12, 19?\n\"Answer: 7*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 - 10. Suppose -16 = 4*d, 3*n - 9 - 20 = 2*d. Suppose 2*g = g + n. Let l(f) = f**3 + 3. What is g*l(b) + 2*m(b)?\nAnswer: -b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/(-315))\/(285\/(-399)*1\/((-5)\/186)).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22285 + 22277. Let d = 5 - 5. Put 1\/2, d, -0.5, w in descending order.\nAnswer: 1\/2, d, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/5 (b) 4.8 (c) 92 (d) 2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m - 3 + 416*m**3 - 437*m**3 - 24*m**2 + 40*m**2 as d + h*m + y*m**2 + n*m**3 and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i - 0*i + 480. Suppose 3*g + i = 208. Let v = 9 + 11. What is the remainder when g is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v**3 + 14*v**2 - 15*v**2 - 10*v - 1 + 11*v in the form n + c*v + t*v**2 + w*v**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 213713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -319*u**3 - u - 1. Is j(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h**3 - 4*h**2 + h + 7. Let q(v) = 6*v**3 + 2*v**2 - 4. Let x(n) = 4*f(n) + 7*q(n). Let l(r) = r. What is -3*l(p) + x(p)?\nAnswer: -2*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 615074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from dddffdddddfdcfffffd.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 432\/12*(-92)\/(-552)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9942 - 9912. Calculate the least common multiple of f and 1825.\nAnswer: 10950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g = 16*g + 20. Let h be (6\/4)\/3*4. Suppose 3*f = g*f - h. Which is the second smallest value? (a) f (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r*r**(-2\/7)*r)**(2\/97)\/(r**(-4)*r*r**(-6)))\/((r*r\/r**(2\/7)*r)\/(r*r**(-2\/3)\/r)*r**(-2\/13)*r**4) assuming r is positive.\nAnswer: r**(49522\/26481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 6*g**2 - 4*g**2 + (-g + 2*g - 2*g)*(-3*g + 2*g - g) + 37*g**2 - 2*g**2 - 10*g**2.\nAnswer: 29*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifteenth of a minute?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 55*u**2. Let d(w) = -2869165*w. Give d(c(l)).\nAnswer: -157804075*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2361 - -2475. What is the least common multiple of m and 72?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 457*h - 21. Let a(n) = -1. Let c(t) = 4*a(t) + g(t). Let q be c(-5). What is q rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -670747.\nAnswer: -4\/670747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-12)\/(((n\/(((n**18\/n)\/n)\/n))\/n*n)\/n) assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (26 - (17 + -64 + 47 + (14 - 1))).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-8))\/(2\/(-18*(-38)\/(-513))))\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52710772.\nAnswer: 2, 1283, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h - 12, -2*j - 2*h - 6 = 0. Let n(w) = -1 + j + 3*w + w. Let g(o) be the second derivative of -o**3\/3 + o. What is g(n(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 0*t + t + 263 - 92. Let f be l(0). What is the greatest common factor of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243788 is divided by 273.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.918 and -0.05.\nAnswer: 0.0459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-4))\/(6\/12). Put 2, 0, -2, o in increasing order.\nAnswer: o, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2596*c*u**3 - 2*c*w**3 + 4*u**3*w**3 + 16*u**3*w + u**2*w**2 + 32*w**3 with respect to c.\nAnswer: 2596*u**3 - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6613939\/280 + 23621. What is the common denominator of k and 33\/140?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by 38\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(-g**2 + 4*g**2 - g**2) - 4*g**2 + 4*g**2 + g**2 + 2*g**2 + 0*g + 0*g - 7*g.\nAnswer: g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 9*w**2 + 10*w + 33. Let p be t(7). Let j = 122 - 72. Suppose 5*q - 178 = p*l - 68, -5*l = 3*q - j. Solve 0 = -7*r + 2*r + q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 0, -2, -8, -114 in ascending order.\nAnswer: -114, -8, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1355 and 1355.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/18*196\/245?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*s = 12, 3*f - 3 + 5 = 2*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 701575.2l?\nAnswer: 701575200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5162.9114 - 5165. Let j = 21.9244 - t. Let g = -24 + j. Round g to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*g - 71 + 66, q + 4*g = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwyt when four letters picked without replacement from yytebeweeeteeewbbbt?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3.21 * 0.622\nAnswer: 1.99662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t*t)**(-44)\/(t**(1\/7)*t)**(-1\/2) assuming t is positive.\nAnswer: t**(620\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 180, 304, 598, 1116, 1912, 3040, 4554, 6508?\n\"Answer: 9*k**3 + 31*k**2 - 32*k + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -487.576 to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5065 + -12872427.9?\nAnswer: -12877492.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 149079.042 microseconds in weeks?\nAnswer: 0.000000246493125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 - 2016*t + 213275. Give a(151).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.3 - -32.78. Let k = f + -15. Which is the third biggest value? (a) -0.4 (b) 1\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 865, 2261, 4255, 6811?\nAnswer: 9893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 16*z - 183. What is d(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + n - 9 = 2*y, 3*n = 4*y + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05151 rounded to three dps?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1485 and 1815.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*u + 5*d, -3*u + 0*d + 5*d - 20 = 0. Suppose 0 = -2*l + 5*l + 4*h + 408, u = 2*l + 4*h + 268. Round l to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -9\/3854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/5 - 6748*b**2\/5 + 10774*b - 47124\/5 = 0. What is b?\nAnswer: 1, 7, 3366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*y - 118*y = -24 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.3. Let m = 12.98 + -13.18. Sort m, a, -4, -0.3 in decreasing order.\nAnswer: a, m, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -714618c - 3?\nAnswer: -7146190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 - 10*k + 3. Let o be r(-2). Solve 47 = -o*p + 35 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6 + 8 = 4*k, 0 = -k - 3*d + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.86 - 1.77. Let q = -0.4 - o. What is q rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13872 + -627. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007258 rounded to four decimal places?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.69 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50900 and 4094396.\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-7))\/((-15)\/(-165))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 62. Suppose -79 = -l*t + 66. Suppose 0 = -t*d + 20*d + 1881. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:13 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 4*u - 4. Let d be z(8). Suppose 2*s - d = -2*s. What is the remainder when s is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - (104544\/(-1160))\/(-9). Which is the fourth biggest value? (a) -4 (b) 1 (c) 4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2. Let o(g) be the third derivative of 0*g + 1\/3*g**3 + 0 - 3*g**2 + 1\/15*g**5 - 1\/24*g**4. Suppose -23 + 19 = 4*a. Determine a*o(f) + 2*v(f).\nAnswer: -2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 3*v + 6*v)*(7 - 1 - 1)*(2*v - 4 + 4).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 6619 - n + 9*n**2 + 2*n**3 + 6616 to o*n + s + t*n**3 + a*n**2 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*u + 2. Is 106*3\/(-12)*u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/(2\/6). Let c(v) = -4*v**2 - 5. Let g(z) be the first derivative of -4*z**3\/3 - 4*z + 10. Let q(n) = -5*c(n) + 6*g(n). Give q(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 732 - 1247. Let g = 521 + l. Suppose -3*z + 5*y + 8 = y, -12 = -4*z + 4*y. Solve -6 = -g*i + z*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(2\/5)*f)\/f)\/(f*f**(2\/5)*f*f))\/(f**(-1))**10 assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-28)*-2)\/(3*10\/60).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 434 + 405. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 150*z + 477.\nAnswer: -3*(z - 3)*(z + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 6*v**2 - 4*v - 57. Let y(d) = 2*d**3 - 8*d**2 - 4*d - 58. Give 3*r(j) - 2*y(j).\nAnswer: -j**3 - 2*j**2 - 4*j - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -a - 295. Let x = a - -343. Put -1, 20, x in descending order.\nAnswer: 20, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/5 + 10203*j**3\/5 + 26263506*j**2\/5 + 1212859988*j\/5 + 464149512 = 0.\nAnswer: -5078, -45, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -17. Let p = 10 + v. Which is the nearest to 0.2? (a) p (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -1\/3, -8, -2\/71?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/26 and 137\/984828?\nAnswer: 984828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8436559ug?\nAnswer: 0.0000008436559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/15*(-882)\/11088*(-5)\/((-175)\/10)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + a = -22 + 1, 2*g = -4*a + 6. Suppose 3*c = -g*o + 17, o - 1 = -0*o. Calculate the remainder when ((-7)\/c)\/(3\/(-72)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 10*i**2 + 66*i + 121. Determine z(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - 4*g - 7*g - 6*g)*(5*g**2 + 4*g**2 - 5*g**2) + (0 - g + 0)*(-22*g**4 - 2*g**4 + 8*g**4).\nAnswer: 4*g**5 - 68*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4484.6 + 4501. Sort p, 0.5, 8 in ascending order.\nAnswer: 0.5, 8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78607435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*h = -31*h - 79*h - 68*h + 2460 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24b95f - 2b?\nAnswer: -24b98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -63. Let m(g) = g**2 - 4*g - 3. Determine m(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.03854677.\nAnswer: -0.11564031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 50, -398311*o + 46 = -3*k - 398315*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 717, 751, 785, 819?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7345.166 milliseconds?\nAnswer: 7345166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 5*v + 773. What is the hundreds digit of o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**6\/2 + 3*r**5\/5 - 8. Find m, given that u(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.043 and -2.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 2541.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/4*(24\/15)\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45160, 90317, 135486, 180673, 225884, 271125, 316402, 361721?\n\"Answer: c**3 + 45150*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(931) + -4 + ((0 + sqrt(931) - sqrt(931))*1 - (-2*(-1 + sqrt(931) + sqrt(931) + sqrt(931)))**2) + 5.\nAnswer: -33516 + 175*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 9*b - 145. What is the least common multiple of 84 and y(-9)?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 24*m**2 - 19*m + 1. Is b(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*t + 107*t**4 - 4 - 33*t - 20*t**4 + 0 wrt t.\nAnswer: 1044*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*4\/8*2\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 3*q + 4. Let u(v) = -5*v**2 - 8*v + 7. Let t(x) = 9*x**2 + 15*x - 13. Let c(w) = -4*t(w) - 7*u(w). Determine 3*b(f) - 4*c(f).\nAnswer: -2*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959*o - 955*o + 1909*o + 79 = h - 58, 3*o - 3*h - 75 = 0 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)*(b**(1\/60)*b*b)\/b assuming b is positive.\nAnswer: b**(-1079\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 563131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114844 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 8:24 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3996208959233 less than 0.22?\nAnswer: -3996208959232.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -10. Let a be 6 - x\/4*-8. Factor 0*p**3 - 1\/6*p**4 + 0*p + 1\/6*p**a + 0.\nAnswer: -p**2*(p - 1)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1595 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1101.4 - 1101. Let n = 244\/7 - 35. What is the nearest to d in n, -0.2, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -11*a + 434. What is m(-5)?\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -60*x - 6548. Let v be r(-103). Which is bigger: v or -373?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-12)\/128 - (-7)\/24\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53139*h**3 + 5 + 50138*h**3 - 1 - 4.\nAnswer: -3001*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (11 - 14) + (-1 + -2 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 21 - (-182)\/(-2) - (-27 + (42 - 6))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - -9*10\/540. Let z = -9 + -5.5. Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53493, -106987, -160481, -213975, -267469, -320963?\nAnswer: -374457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b. Let r(m) be the third derivative of -m**7\/1008 + m**5\/20 + 5*m**2. Let x(p) be the third derivative of r(p). Calculate 6*h(t) - 13*x(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*w - 0. Calculate the remainder when 190 + w\/3 + -5 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3800*2\nAnswer: -7600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 2 - 5\/7*-4. What is the closest to 0 in -5, n, 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = -9*p. Let f be 1*(p + 4\/2). Suppose 0*h + 6 = -3*t + 3*h, -12 = 2*t - 4*h. Sort -4, f, t.\nAnswer: -4, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -606.66 + 603. Let k = u + 3.86. What is the second smallest value in k, -3\/7, 83, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 7*q**2 + 7*q + 1. Determine u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -554031 + 5?\nAnswer: -554022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 265703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s**3 - 2*s**2 - 2*s - 1. Let n be m(-1). Let g = -7 + n. Solve -4*i - 8 = 4*r, g*i + 3*r + 12 = -r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 154\/(-3) - (-3 + (-24)\/(-9)). Let r = j - -18. Let g = r + 37. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -19, 58 in decreasing order.\nAnswer: 58, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009868 to four dps.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (6 + -2 - (4 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727491667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3795, -3754, -3711, -3666?\nAnswer: -3619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 v, and 1 s when three letters picked without replacement from {s: 5, c: 1, q: 3, o: 1, v: 2, t: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -396*k**2 + k**4 - 308*k**2 + 149*k**2 + 25635*k**3 - 25968*k**3 - 17*k**2 wrt k?\nAnswer: 24*k - 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2599*a - 2603*a + 5*m - 37, 10*m = 3*a + 84 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -224, -4427, -15832, -38039, -74648, -129259?\n\"Answer: -600*r**3 - r**2 + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from cclciliqiclilqlciii?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y. Let u(c) = -4 - c + 4. Let f(d) = -5*m(d) - 14*u(d). Let p(v) = -2*v**2. What is p(f(z))?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 148.044 nanograms?\nAnswer: 0.000148044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 7. Let y be b(-7). Suppose y*x - x = -1. Let h be (-1)\/14*(-6 - -2). Is h < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 1594 = -1874 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 25*v - 351. Calculate m(16).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14147)\/(-34357))\/(21\/(-2)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 67 - 2 = 5*p, 2*n - 30 = 2*p. Suppose 3*v - 10 = -1. Suppose -v*h - l + 44 = 2*h, 5*l = 3*h - 4. Calculate the remainder when n is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3 - 2 + 4*p**2 + 1 - 3*p**2. Let w = 67 + -65. Let l(j) = 21 - 5*j**w - 22*j + 41*j - 18*j. What is 2*l(r) + 11*x(r)?\nAnswer: r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.58702540813 less than -0.03?\nAnswer: -82.61702540813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 2. Let f = 6 - c. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -270 - -254.9. Let r = j - -15. Let c be (-6)\/(-3) - (-24)\/(-10). What is the nearest to 1 in r, c, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/3 - 2756*m - 24777 = 0.\nAnswer: -8259, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q + 2*q**2 + (-40 - 6*q + 40)*(-3*q + 2*q + 4*q).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4435 + 8272. Suppose 4*y = -3*i + 3843, -3*i - 8*y + 6*y = -m. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -145486, -145549, -145604, -145651, -145690, -145721, -145744?\n\"Answer: 4*x**2 - 75*x - 145415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6995893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 494026 to the power of 1\/2, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*s + 29*s + 62*s = 3654. What is the highest common divisor of 24372 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326273?\nAnswer: 3, 13, 31, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20*z**2 - 1808*z + 817223. Let n(d) = -17*d**2 - 1808*d + 817222. Let i(g) = 6*k(g) - 7*n(g). Factor i(f).\nAnswer: -(f - 904)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920231017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/6*7\/14*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhgy when four letters picked without replacement from {y: 8, o: 1, m: 2, g: 1, h: 1, r: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-2*q**2 - 2*q + 2*q**2 - q**2)*(25 + 55 - 7).\nAnswer: -146*q**2 - 292*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79891026 divided by 3.\nAnswer: -26630342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 1\/3, 289, -42.23 in increasing order.\nAnswer: -42.23, -5\/3, 1\/3, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3598 from -17862.798244.\nAnswer: -14264.798244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 110402 (base 6) to base 14\nAnswer: 3506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 30, 4, -71, -5, 1 in increasing order.\nAnswer: -71, -5, 1, 4, 9, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kykkkygzzyyyyayyk.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4 - 404710*t**3 + 809414*t**2 - 404706*t = 0.\nAnswer: 0, 1, 202353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 43 (b) 1.3 (c) 0 (d) 3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/3)*t*t**(-5)*(t*t**(-3\/5)*t)\/t*t**(-1\/2)\/t*(t\/t**(-3)*t)\/((t**(2\/7)\/t)\/t)*(t**(-1\/3))**(3\/11) assuming t is positive.\nAnswer: t**(5059\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -48. Let b = -45 + k. What is the units digit of b\/(-7) + 4\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -6*l - 2*i, 5*i + 146 - 151 = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 + m**2 - m - 1. Let q be h(1). Suppose -q*k - 33 = -4*y - k, -3*y + k = -26. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5681 * -0.5\nAnswer: -2840.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 8*g**2 - 10*g - 7. Give t(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 20*f**2 - 20*f + 19. Is 4 a factor of l(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 123629*b - 10 + 20 - 6 + 123628*b.\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 125201.6.\nAnswer: 125213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -5 in descending order.\nAnswer: 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from eesbeeyd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28731.\nAnswer: 3, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 + -37. Let v = c - 62. Let u be (36\/10)\/(2\/10). What is the highest common divisor of v and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-12)\/(-112))\/(6*(-11)\/1980*-15)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.57 - 37.43. Let j = s + 40. Let g = 2.2 + -0.2. Which is the closest to j? (a) 5 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -49*h**8\/8 + h**4\/12 - 77*h**3\/6 + 381*h - 2. Find the third derivative of z(u) wrt u.\nAnswer: -41160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 87035 = n, 2*k - 18*n + 19*n = 87041. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**3 + 5*y**3 - 36*y**3.\nAnswer: -45*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - 4.95. Let q(p) = -2*p + 15 + 30 - 14. Let d be q(13). Which is the third smallest value? (a) 3 (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 9 - 1\/2*v**2 - 4*v. Let h(l) = l**2 + l + 3. Calculate -2*b(i) - 3*h(i).\nAnswer: -3*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -54*i**2 - 30*i - 58. Determine d(-2).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o - 3*o + 4*o)*(0 + 2 + 0)*((3 - 1 - 3)*(2*o - 2*o - 2*o) + 4*o + 11*o - 8*o) as p + h*o + y*o**2 and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2624 - 824. Suppose 17*q + r = 12*q. Is 10 a factor of ((-18)\/10)\/(8\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-2 + 2)) + -7 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 27. Suppose -5*p + h = 1. Let c be -1650001 - (-2 - (1 - p)) - 0. What is c rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -17 - 20*d - 5 + d**2 - 7 - 1. Calculate r(21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9311990\/563 + 16540. What is the common denominator of i and 37\/7?\nAnswer: 3941","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5456 - 0.3456. Which is the closest to 0.16? (a) 0 (b) t (c) 5 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.13039\nAnswer: 0.013039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -21 + (-608)\/(-308) - -9.\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2480 + -1935. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 0*f + 17*f + 19*f.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63 - (-3 - 1 - -8).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207 - 202. Suppose -3*k + 5*h = -10, 4*h - 1 = t*k - 9. Factor 0*w - 2\/3*w**3 + k + 2\/3*w**2.\nAnswer: -2*w**2*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyypiepiyiyyyiepeyii. Give prob of picking 2 i and 2 y.\nAnswer: 147\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 2) + (69 - -2). Suppose 4*x - 3*m - y = m, 0 = 3*m + 12. Calculate the greatest common divisor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86540700 to the nearest 100000.\nAnswer: -86500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8445885.\nAnswer: 3, 5, 7, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 38 + 5 = -2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 55\/3*w**3 - 83\/120*w**6 + 0*w + 187*w**2 + 1\/24*w**4 + 0*w**5 + 0. Differentiate i(o) with respect to o.\nAnswer: -249*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/35 - 6) + (-2)\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 9 = -4*x, 6*x - 2167*w = -2165*w + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 1.3, 24, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 68\/28 + 9\/(-21). Let d(c) = 5*c - 2. Let x be d(b). Suppose 0 = x*q - 327 - 225. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -586040 divided by 490?\nAnswer: -1196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(1\/((-19)\/(26 + 12))) - 17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - o**3 + 5*o**2 - 3*o**2 - o. Let h be b(2). Solve -4*i - 9 = -3*n - 5*i, h = 3*n - 5*i + 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Sort 5, j, 4 in increasing order.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/21)\/(-2 - 93\/(-54)). Solve 3*u + 4 = 2*y, 0*y = 3*y - t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -375.43 rounded to the nearest integer?\nAnswer: -375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1598339 and 3?\nAnswer: -0.4795017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 2*r. Let a be -10*((-6)\/(-3) - 3). Let o be (6\/3 - 2)\/(a\/(-5)). Let k be z(o). Which is smaller: k or 2\/125?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102747.2461 less than 409?\nAnswer: -102338.2461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from {k: 4, c: 6, g: 1, s: 2, h: 7}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3816796590.\nAnswer: 2, 3, 5, 53, 163, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1573)*-1 + -5 + (-2*sqrt(117))\/sqrt(9) + sqrt(208)).\nAnswer: -27*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/7))**(-30)\/(f**(-3\/4)\/((f\/f**(1\/2))\/f)))**9 assuming f is positive.\nAnswer: f**(-9657\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 9:56 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1812657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-175)\/(-140))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78511 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*m = 0, -12*m = 3*q - 17*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 761835 = -9*u + 761871, 0 = -5*g - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 20. Suppose -3*v + 42 = -2*v + 5*w, -v + i*w + 2 = 0. Calculate the remainder when 63 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -36*y - 8. What are the prime factors of v(-7)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/5)\/4*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -51, -44, -35, -24, -11?\n\"Answer: i**2 + 2*i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.70989 milligrams to grams.\nAnswer: 0.00670989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6312 + 2458 + m - 5059)*(-2 - 3 + 4).\nAnswer: -m - 3711","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5319 divided by 1386.\nAnswer: -591\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 35*g + 458 = 33*g, 0 = -3*y - 2*g + 361. What is the remainder when y is divided by 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -622, -669, -718?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/83952 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33703 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/120 + 19*j**5\/60 - j**4\/6 + 25*j**3\/6 + 17*j**2. What is the hundreds digit of b(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -v - v. Suppose 4*l - a - 15 = 0, -4*a + 20 = 4*l - 20. Suppose s + v*s = l. Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 16*x + 30. Let a(w) = 9*w + 2. Let d be a(6). Let f = 76 - d. What is the remainder when l(f) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23830, -23760, -23698, -23650, -23622, -23620, -23650?\n\"Answer: -g**3 + 2*g**2 + 71*g - 23902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = -4*h, 5*j - 4*h - h - 15 = 0. Factor -2\/3*w**5 + 4\/3*w**2 + 2\/3 - 4\/3*w**3 - j*w**4 + 2*w.\nAnswer: -2*(w - 1)*(w + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmqq when four letters picked without replacement from mgqqmmm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -783*c - 3906. What is f(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 3\/5, 2, -0.719 in decreasing order.\nAnswer: 40, 2, 3\/5, -0.719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, -3, 1, -1\/44?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 994*u - 43596. Calculate z(46).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98\/583 or -176\/9?\nAnswer: 98\/583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41599 and 715547?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -74, -54, -26, 10, 54, 106?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 64.71 times -0.5\nAnswer: -32.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125 - 19 + 32)*(3 + 2 - 2)*(-x + 2*x + 0*x).\nAnswer: -336*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8661 - 239.52\nAnswer: -8900.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.49 greater than or equal to 193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -0.6. Let h = 629\/4 - 158. What is the closest to x in h, -5, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/60 + 13*j**3\/3 + 2*j**2 - 26*j - 6. Let q(c) = 4*c. Determine q(i(x)).\nAnswer: 4*x**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -15\/161, -4, 0, 42?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 15*h = 9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3133*x + 5388*x + 3074*x - 11594*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74, -154, -328, -620, -1054, -1654?\n\"Answer: -4*w**3 - 23*w**2 + 17*w - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*k - u = 6*k + 116, -4*k - 11*u = -164 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871773785.\nAnswer: 5, 29, 31, 193943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 1:21 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5093 + 5429. Calculate the least common multiple of 266 and s.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12441622 and 1256.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/4)*j**1*(j**(-2\/5))**(20\/11) assuming j is positive.\nAnswer: j**(23\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 6*v + 4. Let g be u(2). Suppose -108 = -16*d + g. Let b(l) = 5*l + 1. Let n(p) = 10*p + 2. Give d*b(q) - 3*n(q).\nAnswer: 5*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.89 + -0.11. Which is the closest to 2? (a) f (b) -1\/2 (c) 0.2 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-2)*12\/10. Let v be -2 + 3 - (3\/l + 53). Let q = -26 - v. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4821*i**3 - 26941*i**3 - 14193*i**3.\nAnswer: -45955*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23289445.\nAnswer: 5, 43, 149, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -1) + 7 - 1. Let d = 5 - x. Suppose -17 = -d*h + 13. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05581949 rounded to four decimal places?\nAnswer: -0.0558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.865758845 to four decimal places.\nAnswer: -0.8658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 8*x**2 + 7*x + 5. Let u be y(7). Let k be (-8)\/u*(-4*2)\/(-2). Let d be (-3)\/(-6) - (-15)\/(-2). Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + j - 4. Let u = 11 + -13. Let m be (u\/4)\/((-3)\/18). What are the prime factors of l(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j + 3*j - 15*j)*(4*j**4 + 4*j**4 + 8*j**4).\nAnswer: -320*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 + 59 - 27)*(q + 4*q - 3*q) + (-q + 10*q - 52*q)*(-2 - 4 + 3) to the form b + h*q and give h.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 40. Let v(d) = d**3 + 10*d**2 - 13*d + 8. What are the prime factors of v(l)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/52, 4, -0.4 in decreasing order.\nAnswer: 4, 5\/52, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.5 + 0.5. Let m = -5.01 - -5. Let j = m - 3.99. Which is the third smallest value? (a) j (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/3 + -1\/12. Suppose -4 = l, 2*l = -4*i - 1 + 25. Suppose -4 + i = -2*c. Is c < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3984 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:54 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + (-64)\/12)*27\/3. Let d be ((-4)\/u)\/(18\/(-81)). Solve 17 + 7 = 2*y + 4*g, -g + 16 = d*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4 + 3366*j**3 - 69075*j**2 - 316788*j - 330300 = 0.\nAnswer: -2, 25, 1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11 (b) 1\/8 (c) -4\/5 (d) 0.05 (e) 2 (f) 5 (g) -587\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 889789?\nAnswer: 19, 46831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-6) - (-4 - -3). Let m = -0.7 - -0.5. Let q = m - -0.1. Which is bigger: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 9*p**2 - 4*p - 5. Is a(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -57008256738.18?\nAnswer: -57008256738.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13133\/2 - -433265\/66. What is the common denominator of r and 73\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 871822621*y**2 + 1068911519 with respect to y.\nAnswer: 1743645242*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 5*u**3 - 5*u**3 + 7*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = -3. Let b be a*-4*4\/3. Solve 3*z - 1 = -b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -12, -3*p - 18 = 2*m + 19. Let a(y) = 0*y + 6*y - 4*y - 4*y - y**3 - 14*y**2 - 18. Let i be a(m). Is 10 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387168 or -387199?\nAnswer: -387199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5*b - 133 = -79, -2*j + 2*b = -20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14740 and 704.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 670 + -636. Solve 29*l - x*l - 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 55*w + 4774 = 0. Let k = 252 + w. Calculate the greatest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 - 1. Let c(k) = k**3 + 26*k**2 + 6*k + 6. Let f(x) = -c(x) + 3*z(x). Determine f(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h + 6. Let f be z(4). Suppose 36 - f = b. Let p(v) = -v + 1. Let x(a) = -29. Let m(o) = b*p(o) - x(o). What is the derivative of m(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47800*j**3*m**2 + 11*j**3*m + 2*j**2*m + j**2 - j wrt m.\nAnswer: -95600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 2*w + 2. Let h be c(0). What is the nearest to -4 in 5, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86726578 to the nearest integer?\nAnswer: 9313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 = 218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 412787650.6 to the nearest one hundred thousand.\nAnswer: 412800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 11110?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 + 56*y**2 - 12*y**2 - 10*y**2 - 10*y**2 - 22*y**2 - 324*y - 2 to the form w + k*y + p*y**2 + o*y**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 43 - 37 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2891421 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-791)\/(-49) - -7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkxpkxxkk. Give prob of sequence xkk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = 2*h - 550, 0 = -x + 5*h + 137. Suppose -o + x = o. What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)\/(7 + -8). Suppose 2*o + p*o - 30 = 0. Solve 0*c - o = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 33525 in decreasing order.\nAnswer: 33525, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 35*s**2 - 26*s**2 - 188*s**3 + 59*s**2 + 187*s**3 + 1773 to h*s + o*s**2 + a + u*s**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let c(d) be the second derivative of -d**6\/240 - d**4\/12 - 2*d. Let t(f) be the third derivative of c(f). What is u(t(z))?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 6344 = -16024. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c + 4*c - 2 - 2*c + 2*c. Let l be m(-5). Solve -f - 9 = 3*h, 3*h + f = 4*f + l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let a = 5 - 5. Let c be (0 + 1)*a\/5. Is t smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10112)\/(-2))\/(215\/430)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 16*d - 17. Let u be j(17). Suppose 2*l + u = 2, 4*g - 11 = -3*l. Solve 3*m - g - 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*g - 8*g - 18, 2*g = 4*k - 14. What are the prime factors of (-14)\/(g - -4) + 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141794519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20025.4 rounded to the nearest one hundred?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 3*c. Let b(j) = 2*j + 201*j**2 - 204*j**2 + 6*j. What is 3*b(y) - 8*l(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/3 - (-1 - 7). Suppose 3*k - u - 241 = 0, w*k - 236 = 5*u + 89. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-18)\/(-1 - 2). Let x(c) = 9*c**2 + 5*c + 2. Let t be x(m). Suppose -q = 3*l + 13 - t, 0 = l + q - 21. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:26 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55742*o**2 + 20*o - 2207?\nAnswer: -111484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 7. Suppose -5*a - 2 - 14 = -4*w, -2*a - 12 = 4*w. Sort y, w, 4 in ascending order.\nAnswer: y, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11568*q**3 - q**2 + 35*q + 7 - 51*q + 19*q wrt q.\nAnswer: 69408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 44, 55, 62, 65, 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 2*n + 13 - 33, -5*r + 10 = 4*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2510330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 37057*t + 5 - 36 + 14.\nAnswer: -37057*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/54 and 13\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/21, 2\/675, 0.5, -3\/4?\nAnswer: 2\/675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbmm when four letters picked without replacement from {z: 5, b: 2, m: 4, n: 4}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/34 and (-35)\/(-10)*(90\/33)\/2.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 15, 15*a - 2*b + 4088 = 17*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*b = -0*b - 156, 2*b = 2*y - 162. Let q be (-15)\/y*6\/(-10). Suppose -11*k + 15 = 26. Is q at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -24, 6, -5, -2, -25 in ascending order.\nAnswer: -25, -24, -5, -4, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1158, 11, -2 in descending order.\nAnswer: 1158, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = r. Let x be (-5)\/r*14*(-24)\/(-420). Let v be -3*(10\/(-6) - 0). Sort 3, x, 0, v in increasing order.\nAnswer: 0, 3, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z + 2*z)*(-1 + 3 - 1) - 14*z + 13*z - 20*z + z - 2*z + 0*z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 53*i**2 - 1. Let x(m) = m**2 - m - 47961. Determine x(o(q)).\nAnswer: 2809*q**4 - 159*q**2 - 47959","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*h - 14, -2*h = 5*s - 47 - 11. Is 11 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4*h + 8 = 0, -x - 17*h = -19*h - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -105 (c) -365 (d) 120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.8995680937 + -8.5.\nAnswer: -20.3995680937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(8) + 1 + 3)*1 + -2)**2.\nAnswer: 20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((-38)\/(-1881)*33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -267456204 divided by -503684?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let m be b(3). Let z = 49 - 29. Let i be 21\/2*z\/m. Calculate the highest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*z**3 + 382*z**3 - 177*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 35. Let d be (-32)\/q - 2\/10. Let m = 1.2 + -1.5. Which is the biggest value? (a) -4 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*y + y. Solve -3*r - 8 = y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -3*r**4\/2 - 3*r**2 + 9*r + 205. Find the second derivative of d(u) wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 984 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b**2 - 13*b - 1468.\nAnswer: 18*b - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*m + 6*m**2 + 302*m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 30, 54, 98, 168, 270, 410, 594?\n\"Answer: m**3 + m**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, b: 1, a: 2, l: 1, w: 1}. Give prob of sequence eaw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3914, -3898, -3858, -3782, -3658, -3474?\n\"Answer: 2*q**3 + 2*q - 3918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*(sqrt(252)*-1*-5 + sqrt(252))*4)**2*1*-2.\nAnswer: -290305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p - 122. Let h be m(-25). Suppose 2*w = -l + 472, 0 = -h*l - 25*w + 27*w + 1424. Does 36 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 2*l + 8. Let g(p) = p**2 - p + 7. Let s(w) = 3*g(w) - 2*k(w). Determine s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**5 - 462024*w**4 + 7855230*w**3 - 6932676*w**2 - 238894227*w - 223644300 = 0.\nAnswer: -154025, -4, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -122*z + 87. Let x(q) = 40*q - 25. Let j(a) = 4*f(a) + 14*x(a). Let i(s) = 4*s**2. What is j(i(d))?\nAnswer: 288*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h + 20. Let s be u(-3). Suppose 64 = w - s*z, -174 = 9*w - 12*w - 3*z. What is the remainder when w is divided by 45?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 - 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 + -151. Sort 1, -0.4, 3, p.\nAnswer: p, -0.4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 55, -0.5, 4, 0.02, -3, 1\/7, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -2*p + 32, 3*p = -696*c + 699*c - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvj. What is prob of sequence qv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 2:05 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 23*w - 6 = 0. Solve -68*q + w = -69*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 248\/39 - 196\/39. Factor 0 - 4\/3*t**3 - 4\/3*t**4 + w*t + 4\/3*t**2.\nAnswer: -4*t*(t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**3 + 5*p**2 - 12*p. Let o(l) = -8*l**3 - 11*l**2 + 26*l + 1. What is -4*o(m) - 9*w(m)?\nAnswer: -4*m**3 - m**2 + 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 44. Suppose -4*x - 5*x + 567 = h. Let o be 9657\/x + 2\/(-7). Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 13. Let z = u + -17. Let f = -257\/3 - -85. Put z, -4, f in increasing order.\nAnswer: -4, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 5*r**2 - 6*r. Let c be j(-3). Is (-9)\/6*-570 + (c - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22927359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/13256 and -31\/466544.\nAnswer: 773063408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + d = -2*r - 899, 5*d - 893 = -2*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9749346mm to meters.\nAnswer: 0.0009749346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 1. Let p be n(2). Suppose 5*v - p*h = -0*v - 34, -4*v - 14 = 2*h. Let i be (v\/2)\/((-3)\/6). Solve -12 = -i*l - b + 9, -7 = -3*l - 2*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**3 + m**3 + m**3)*(-2 - 3 + 6) + 33*m**3 + 65*m**3 - 36*m**3 + (m**2 + 0*m**2 + 2*m**2)*(-2*m - m + m) to y + w*m + z*m**2 + a*m**3 and give a.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a924 (base 12) in base 15?\nAnswer: -74e61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -33, -83, -155, -249, -365, -503?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-122 + 28\/(-2))\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 145.\nAnswer: 1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1550005 = j - 6*j, -2*j - 619996 = 4*z. Round j to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 6 = 5*k - 1, -k - 1 = 3*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/64 of a meter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3 - 1754*f**2\/7 + 4876*f\/7 + 1536\/7 = 0.\nAnswer: -128, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 79752194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n - 2*n**2 + 39*n**4 - 22*n**4 - 23*n**4 - n**3 to s*n**3 + a + y*n**4 + m*n + j*n**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39437 and -337?\nAnswer: 13290269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 6*b - 23. Is k(8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356091 a multiple of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*c - 5*f, 4*f + 19 = 5*c + 12. Which is bigger: -103\/67 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112722436, -450889749, -1014501938, -1803559003?\n\"Answer: -112722438*u**2 + u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkbkbbbbbbb. What is prob of picking 3 b and 1 k?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(-3)*((-144)\/15)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/2? (a) 2\/5 (b) 2\/19 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i + 1. Let z be m(1). Let d(y) = -y**3 - 4*y**2 - 15*y - 16. Let t(u) = 40*u**3 - 1. What is the remainder when t(1) is divided by d(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 0*h**2 - 1\/5*h**3 + 0*h + 1. Factor y(r).\nAnswer: -3*r**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61363\/4009 + -291\/19. Is q at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 - 4*r + 3. Let x(a) be the first derivative of -3*a**3 - 9*a**2\/2 + 7*a + 40. What is 14*n(p) - 6*x(p)?\nAnswer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 21*q**2 + 15*q - 16. Suppose -d = 2*y - 43, -5*y + 35 = -3*d - 56. Let f be o(y). Is (1 - f\/10)\/((-3)\/(-15)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*q - 98*q + 18 = -4*j, -24 = 4*j + 2*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02 and 100479?\nAnswer: 100478.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/6 + 23*n**5\/60 - 22*n**2. Find the third derivative of x(h) wrt h.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2*u + 4*u)*(4*u**2 - 2*u**2 - 4*u**2 + (-2*u + 4*u - u)*(-u + 2*u - 2*u)).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*(sqrt(847) + -2 + sqrt(847)) + (sqrt(847) + (sqrt(847) - (sqrt(847) + 1 + (sqrt(847) - sqrt(847)*1))) + sqrt(847) - sqrt(847))))**2*1.\nAnswer: -16038*sqrt(7) + 618192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 17525888?\nAnswer: 17525888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8626 by -8626.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2559680 to the nearest 10000.\nAnswer: 2560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 45*a**4 + 72*a**3 - 689*a**2 - 247*a. Let l(y) = -11*y**4 - 18*y**3 + 173*y**2 + 63*y. Let o(v) = 11*l(v) + 3*q(v). Let o(i) = 0. What is i?\nAnswer: -4, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37907.\nAnswer: 37907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-15) - (-14)\/(-10). Let c be 15 + -2 - (1 - o). Suppose -14 = -5*l + c. Let z(v) = -v + 7. Determine z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 16*n**2 + 17*n - 2. Calculate c(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + 3*x. Let d = -7 + 3. Let u = -1 - d. Let v(j) = 7*j**2 + 5*j. Let r(h) = u*v(h) - 5*s(h). Let w(z) = -2*z**2. Give r(w(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g + 12. What is w(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4902192 and 34043?\nAnswer: 4902192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -829 + 14101\/17. Let y = 41\/51 - p. Factor 0*o - y*o**2 + 0.\nAnswer: -o**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1582aa0 (base 11) to base 16\nAnswer: 292ac6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 + 3176*x\/3 + 1059.\nAnswer: -(x - 3177)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2974*i + 950*i - 20102*i - 27131*i.\nAnswer: -49257*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*o + 0 - 11*o**4 + 9*o**4 - 52*o - 4*o**4 to the form a*o**3 + d + k*o**4 + w*o**2 + g*o and give g.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*((sqrt(8) - sqrt(2)) + -4)*2*6*-1.\nAnswer: -360*sqrt(2) + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence werb when four letters picked without replacement from wbeebbreebebrva?\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5543831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/(-18))\/(-10)*(1314\/(-444) + 3)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**3 - 11982*c**2 + 1106744*c - 1094760 = 0.\nAnswer: -6082, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 0)\/(4\/6). Let i be (-1)\/(l + 2) + 1. Suppose -5*k - i*d + 49 = -0*d, -3*k + 42 = -3*d. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29233273561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 1 - 1 + (3*s - 2*s + 0*s)*(-3 - 4 + 5) + (0*s + 11*s - s)*(2 + 0 + 0) to x*s + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141*n - 6783*n - 296923 + 6523 = 408*n for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1 + w - 6 - 7. Let z be h(8). Let u(i) = -i**2 - 3*i - 1. What is u(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 2*h**6\/3 - 8*h**5\/5 + 8*h**3\/3 - 2*h**2 + 2244. Determine a, given that b(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 7*s**2 + 6*s + 6. Let p be c(-6). Suppose -5*x + p = 26. Let f(k) = -2*k + 4. Determine f(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*n - 56*n - 117*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -9\/5, -154433, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, -1, -9\/5, -154433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/w**8))**(-50) assuming w is positive.\nAnswer: w**(-350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282278, -282175, -282060, -281927, -281770, -281583?\nAnswer: -281360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgcciccciccccc. Give prob of sequence ccgc.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.091 - -38.909. Let v = d - 55. Let l = 12 + v. Which is the smallest value? (a) 2 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 v when four letters picked without replacement from {w: 4, v: 3, m: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w**2 - 3*w + 91*w + 121*w**2 + 5*w**3 + 97*w + 90 = 0 for w.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -455, -464, -487, -530, -599, -700, -839, -1022?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 870*t**3\/11 + 2606*t**2\/11 + 1728*t\/11 - 8\/11 = 0. Calculate t.\nAnswer: -2, -1, 2\/435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1 + (-4 + 6)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + k - 2*k)*(-26*k - 288 - 3 + 31*k) as n + m*k + u*k**2 and give m.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 4738d4?\nAnswer: -4738da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + u + 4 = -11, -5*m + 2*u = 9. Is -3 != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 68 = u, -3*u = 4*w + 2191 - 2129 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, -140, -370, -694, -1118, -1648, -2290, -3050?\n\"Answer: -q**3 - 38*q**2 - 21*q + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxbaxxxxbbaab. What is prob of picking 2 b and 2 a?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/3)\/(o\/(o*o**0))*(o**(2\/7))**(-7\/4)*(o**2)**(-2\/87)*o*o**(-1)*o*o*o**1\/o assuming o is positive.\nAnswer: o**(123\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430022.14s in weeks?\nAnswer: 4.01789375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-18) - (-4)\/18. Let o be 4\/(-8)*s*-76. Suppose 2*v + 2*c = 72, 2*v - 3*c + 4*c - o = 0. What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1400216*j + 11584. Let o(v) = 1451*v + 12. Give 3*c(a) - 2896*o(a).\nAnswer: -1448*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, o: 5, v: 10}. Give prob of picking 2 d and 1 v.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {z: 14, u: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 - 110. Let p = -13.22 + 0.22. Let w = 8 + p. What is the third biggest value in 0.5, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 277, 1144, 2583, 4594, 7177, 10332?\n\"Answer: 286*h**2 + 9*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -37.1. Let y = 1366 - 1365.7. What is the second biggest value in p, 0.01, y, -3\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 18 = -13*l + 17*l, 0 = -4*l - 5*r + 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 - 11034*r**4 - 1096767*r**3 - 8979336*r**2 = 0. Calculate r.\nAnswer: -3576, -93, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6132812293 to the nearest integer?\nAnswer: 78312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 38.8742 millennia?\nAnswer: 466490.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45 - 10 - 35)*(-5 + 5 - 1)*(0*u + 5*u - 4*u)*(0 + 2 + 2)*(2 + 2 - 5) as n + l*u and give l.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 7:14 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) - 13\/(-4). Suppose -p = -5*f + 119, -5*p - 3 + 52 = k*f. Solve 3*t + f = -2*g, 0 = -3*g - g - 5*t - 41 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v - 12. Which is greater: -15\/8 or v?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*p*x + 21*h*p + 59*h*x**2 - 6*h + p*x**2 - p*x - 6*p - 2 wrt x.\nAnswer: h*p + 118*h*x + 2*p*x - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 2. Suppose 3*w - 6*w = 12. Let k(n) = n**2 + 4*n + 4. Let f be k(w). Solve 0 = 4*v + 8, 0 = l + 5*v + f + r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3803 is divided by 1810.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 5212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -2\/48283, -7, 0.3?\nAnswer: -2\/48283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1223072440 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**2 + 692*d = 0.\nAnswer: 0, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(72)\/((sqrt(100)\/sqrt(5))\/sqrt(10)))\/((3*((1*sqrt(72) - sqrt(72)) + sqrt(72)))\/(sqrt(6) + sqrt(24)*2)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 7:56 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5, 0 = -25*u + 27*u - 5*h - 4845. What is the highest common divisor of 40 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (674\/(-1011))\/(10\/(-4))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10*a**3 - 4*a**2 + 2. Let o(x) = -5*x**3 - 2*x**2 + 1. Let j(r) = 5*o(r) - 2*v(r). Determine j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (315\/(-6) - -53)\/(((-2)\/10028)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2047*b - 2490. What is the hundreds digit of z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 834248 and 8104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighty-seven halves of a day?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**2. Let h be 63 + (1 - 4)*(0 - -1). Let x(u) = 104*u + h*u - 285*u + 82*u. Determine i(x(z)).\nAnswer: -9126*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 403923 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.57 - 0.57. Which is the closest to 0.1? (a) 5 (b) -1\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5015*-91207\nAnswer: 457403105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*3\/96*4)\/(13\/(-728)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 16*d = 72 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23)\/(-3)*3 - -4. Suppose 0 = -3*q - 15, -d - 4 = 2*q - z. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = -0*l. Let j(k) = k - 9. Let h be j(5). Sort 0, l, h in decreasing order.\nAnswer: l, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1010 and 606?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 11375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 3*a**2 - 3*a. Let r be 6*(18\/(-4))\/(-9). Let k be x(r). Let l = -11 - k. Let u(y) = -y**3 - 2*y**2. Give u(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 399550747 to the nearest integer?\nAnswer: 19989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(2\/5)*r)*r)**(-34))**(-9)\/((r*r*r**(-1)\/r)**(-22)\/(r**1)**13) assuming r is positive.\nAnswer: r**(2513\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 30959*m - 123830. What is c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/32*(10 - -2). Is -4 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272740.\nAnswer: 2, 5, 7, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - w**2 - 2*w + 1. Suppose 0 = -3*o + s + 150, 0 = o - 4*o - 2*s + 150. What is the remainder when o is divided by u(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 7*h + 17. Let w be c(-7). Does 7 divide 4 + w + 3 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 749 - 746. Solve 0*w = 2*w + 4*j + 18, 5*j = -u*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8698 or -3643?\nAnswer: 8698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 603 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 0, 1, -5 in descending order.\nAnswer: 1, 0, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29571*s**5 - 58*s**2 - 98 wrt s.\nAnswer: -1774260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 2*g + 91 + 3*g - 64.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 31*m**2 - 2*m. Let g(j) = 4*j**2 + 3*j - 6. Suppose 2*f = 34 - 28. Let z(d) = -d**2 - d + 2. Let l(s) = f*z(s) + g(s). Give y(l(o)).\nAnswer: 31*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2. Let x be m(-1). Let u = -4 + x. Suppose -2*y + 4008 = 4*z, 7263 = u*y + 3*z - 743. What is y rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -21.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 16215 in increasing order.\nAnswer: 3, 5, 16215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 2456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 342460318*-0.1\nAnswer: -34246031.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -471*z**2 - 992*z**2 - 235*z**2 + 2*z**2 + z**2 - 2*z**2 + (-3 - 2*z + 3)*(2*z - 3*z + 0*z) - 4*z**2 + 5*z**2 + z**2.\nAnswer: -1693*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 154628121 times 0.3?\nAnswer: 46388436.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036585 greater than -1036642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*u = 102*u. Solve u = 423*v - 412*v - 66 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:17 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (45 + -9)) + (-39 - -47)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(8\/6)*-34. Let d = q + -33. Let f(i) = -8*i - 7. What is the remainder when f(-5) is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*u, -4*u + 2*u = 5*c - 35. What are the prime factors of 583\/u + (-42)\/(-105)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/(-6) + (-2)\/(-6). Let i be (v\/4)\/(2\/4). Let z = 8 + i. Let f(u) = -u**3 + 6*u**2 - 4*u - 6. Determine f(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/23*1\/(3*-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25258389 is divided by 142.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, c: 3, r: 2, h: 2}. What is prob of sequence xh?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44384572?\nAnswer: 2, 23, 482441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*r = -879 - 234. Let g(v) = v**2 + 13*v - 40. Give g(r).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 10.9. Let w = 3 - 3. Which is the nearest to r? (a) -5 (b) w (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 18*l**2 - 4*l**2 - 9*l**2. Let t(c) = -c. What is z(t(d))?\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24667546013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73174387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 19 = -5*n + 2*j, -5*n - 2*j = -8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14.9 times -6\nAnswer: 89.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -3\/4, 53 in ascending order.\nAnswer: -3\/4, -1\/4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3294, 3353, 3442, 3561, 3710, 3889, 4098?\nAnswer: 4337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.8, 0.1, -1\/25, -12\/7, -0.4, -2\/13, 1\/9?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -11*q + 9*q. Calculate the smallest common multiple of q and -3 + (-2 + 0 + 5 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(684)*1 - (0 + sqrt(684) + -2 + 1*(0 + sqrt(684))))**2.\nAnswer: -168*sqrt(19) + 33520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(170\/(-17)*(-663)\/(-85))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -32*u**3 - 6*u**2 + 6*u + 6. Let s be (3\/(-30) + 0 + 170\/200)*8. Let t(j) = 897*j**3 + 169*j**2 - 169*j - 169. What is s*t(g) + 169*n(g)?\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 6*t - 1. Let w(i) = i**2 - 5*i - 3. Let g be w(7). Let b = 18 - g. Determine q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*u - 49 = 0, -u - 3*u + 111 = -5*d. Put 2\/23, d, 0.5 in descending order.\nAnswer: 0.5, 2\/23, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.2. Let x = -0.3 + 0.1. What is the nearest to a in x, -5, 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 7*g - 7. Let b be v(-5). What is the second derivative of -l**4 + b*l + l + l**5 + l**4 wrt l?\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4117, 62, -5, 7 in descending order.\nAnswer: 62, 7, -5, -4117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -439.4?\nAnswer: 6151.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53 + -116c6?\nAnswer: -11673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**5 + 524 - 1043 + 520 + 57*x**4 - 21*x**2 wrt x?\nAnswer: 60*x**2 + 1368*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26109, 52262, 78415?\nAnswer: 104568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 8*d - j - 27 = 2*j, -42 = -3*j - 57 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v. Let c be w(3). Let o(n) = -3*n**2 - 3*n**c - 3 + 4*n**3 + 6*n - 3*n. Give o(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219599307?\nAnswer: 3, 24399923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*i*x**2 + 13*i*x - 3*i + 8*x**2 + x - 442648 wrt x?\nAnswer: -74*i*x + 13*i + 16*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325992, -326069, -326150, -326235?\nAnswer: -326324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/4 - 10*d**3\/3 + 3*d**2\/2 - 1411. Calculate x(8).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -34. Suppose p - c = -3*p. What is the third derivative of 0*u**2 - 3*u**2 - 3*u**p + 0*u**4 - 2*u**2 wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from rggmlrggmlgmg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 8*m**2 + m - 9. Let k be h(-8). Let j be k\/(-5) - 2\/5. Let a be 132 + ((-12)\/(-4) - j). What is the greatest common factor of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 0*d - d + 5*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6}. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 653649493 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (3 + -2)) + -1 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, -5\/1717, 3, 2\/3 in descending order.\nAnswer: 10, 3, 2\/3, -5\/1717, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k + 4*g + 80 = 0, -3*g = 0. What is the lowest common multiple of k and 152?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*w - 25880 = -30926 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5225 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 + (4\/5 - (-14)\/(-5)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8466503, -16933027, -25399563, -33866117, -42332695?\n\"Answer: -y**3 - 8466517*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 0*p**3 - 2*p**3 - 7 + p in the form j + b*p**2 + u*p**3 + w*p and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 9:34 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 98, 3, 12.1, -4, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*r. Let g = 37 + -37. Let z = 1.4 + -1.8. Which is the closest to g? (a) r (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/4 + 6\/4. Let i(h) = -9*h + 0 + o*h + 4 - 2. Suppose 3*a + 5 = -4*b, 3 = -2*a - b - 2. Calculate i(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 9913 - 36*q + 0*q - 24*q + 9913.\nAnswer: -70*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*3*1431\/45315*3\/(-9)\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25861 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2114 - -2114. Let y(f) be the first derivative of 0*f**2 - 10 - 13*f + 15\/4*f**4 + o*f**3. What is the derivative of y(g) wrt g?\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - m + 197 = 0, 0*c = -c + m - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 477*l**2. Let w(r) be the second derivative of -r**4\/6 - 522*r. Determine j(w(b)).\nAnswer: 1908*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198 + 162. Let j be (-512)\/c + -4 + (-4)\/18. Solve -5*v = -j*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 165947, 166150, 166353?\n\"Answer: 203*r + 165744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 9 + 3. Suppose -428 = -3*v - 7*w, -44*v = -49*v - 7*w + 676. Calculate the greatest common factor of v and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1792967\/720 - -12453\/5. What is the common denominator of m and -49\/3?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172568553 to the nearest integer?\nAnswer: 13137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 4. Let d(s) = -23*s - 14. Let l(f) = 27*f + 16. Let v(r) = 7*d(r) + 6*l(r). Let i be (-144)\/(-63) - 2\/7. Give i*m(c) + 5*v(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2452, 6607, 12472, 20047, 29332, 40327?\nAnswer: 53032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91488394 + 91488268.999258. Let c = n + 125. What is c rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2715060 and 46474?\nAnswer: 51586140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 4\/3 (b) 0.7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*r**2 + 29*r**2 + 24*r**2 + 13*r wrt r?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 13*b + 2*b + 85 = -3*i - 59, -15*b + 18*b + 24 = 64*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37959012 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*w + 11, 4*x + x - 35 = -5*w. Find the second derivative of 15*v**w - 6*v + 16*v**2 - 14*v**2 + 4*v**2 wrt v.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 3, 2, 10, 0, 8 in descending order.\nAnswer: 10, 8, 3, 2, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 48. Does 3 divide 168\/(-36)*36\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -979510 or -1?\nAnswer: -979510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3\/2 + 963*k**2\/2 + 7168416*k - 7168896 = 0?\nAnswer: -2032, 1, 2352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 4. Let m be u(-8). Suppose -4 = -5*g - 4*c + 3, 0 = -4*g - c + 10. Sort g, m, 0, 4.\nAnswer: m, 0, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109304843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29427.06 - -12117?\nAnswer: -17310.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Let l = 13 - 12. Let f be u(l). What is the third derivative of g - 6*g**3 + 4*g**f - g wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) + 0\/1. Suppose 0 = -5*p + 133 + 17. Let b be (-1)\/(-5) - 6\/p. What is the nearest to b in h, 1\/7, 5\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10403431 - -3302?\nAnswer: -10400124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:00 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10044 and 28512.\nAnswer: 883872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, y: 3, v: 7}. What is prob of sequence yv?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m + 182. Let k be p(-22). Let d(x) = 2*x**2 + 10*x + 9. Let c be d(-6). Let y = k - c. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*l - 8*l**4 + l**6 - 15*l + 4*l**2 + 5*l wrt l.\nAnswer: 120*l**3 - 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(2*x - 3*x + 3*x) - 3*x + 2*x + 2*x + (-4*x + 0*x + 0*x)*(85 - 4 + 90) in the form m*x + h and give m.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 13*b + 40. Let g be l(12). Let w be (-12)\/(-21) + 60184\/g. Round w to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 5. Let a be q(-5). Suppose 3*o = 4*y + 32, 0*y + 4*o + 27 = -y. Let l = a + y. Calculate the remainder when 26 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.87 + 31. Sort -5, a, 4\/7 in ascending order.\nAnswer: -5, a, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:25 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3)*12\/(-24))\/((-2)\/12). Suppose 2\/3*q**4 + 20*q**a + 16 + 6*q**3 + 88\/3*q = 0. What is q?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(-3 + (3*2*sqrt(28) - sqrt(28))\/(4*sqrt(4)*-3)).\nAnswer: 15*sqrt(7) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4140396 and 1728?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -14 - 2) + (2 - (-1 + 1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10)\/4 + 5)*34.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from xkxpxppx?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y. Let c(x) be the second derivative of -x**5\/30 - x**2\/2 + 3*x. Let j(q) be the first derivative of c(q). What is j(f(g))?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914865 is divided by 2627.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 167*l + 8. Let z be i(-2). Let o = z - -1192. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let h(u) = -498098*u**2 - 94. What is h(n(y))?\nAnswer: -498098*y**4 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 w when three letters picked without replacement from {w: 5, n: 9}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335910 is divided by 3326?\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*k + 4146 = -696*k - 2206 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16200 is divided by 270.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n + 1 - 7*n - 8 + 0 in the form j + d*n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = 2. Does 13 divide (j\/8)\/((-2)\/760)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t**3 - 3*t + 40*t**3 + 3*t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-39)*l*l**(-39) assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g**(-4)\/g*g)\/g))\/g)\/(g*g*g**0\/g)*g**3\/(g\/(g*g**(2\/5)*g)))\/(g*g**(1\/5)*g*g**4\/g*g**(-2)*g*g**3) assuming g is positive.\nAnswer: g**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1815 - -2290. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1497960.00424 + 1497858. Let b = 102 + d. What is b rounded to 4 decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) -3\/7 (c) 1\/3 (d) -4\/7 (e) -196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 q when three letters picked without replacement from qxqqqqqqqqqxqxqq?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 3:52 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2. Let l(i) be the third derivative of 0*i**3 + 0*i - 1\/12*i**4 + 13*i**2 + 0. Determine l(f(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987489 is divided by 268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 5.\nAnswer: -7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -1\/15*i**5 + 5*i**2 + 1\/120*i**6 + 0 - 1\/3*i**4 + 0*i + i**3. What is t(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/((a\/((a**1*a)\/a*a)*a*a)\/a)))\/(a\/(a*a**(2\/45))))**(-21))**44 assuming a is positive.\nAnswer: a**(-616\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2)*-5)**2 + (3*sqrt(2)*-2)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*j + j. Let i(m) = -m**3 - 9*m**2 - 2*m - 16. Let a be i(j). Solve z = -4*r + 4*z + 11, a*r + z = 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -10, -4464*a = 10*g - 4468*a - 6 - 14 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5 - 67. Let u be 164 + (5 - 3 - 4). Calculate the greatest common divisor of u and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*35.30235.\nAnswer: 176.51175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2. Let g(d) be the third derivative of -d**4\/4 - 9*d**2. Give g(l(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*i**2 - 4*i**2 + 6*i + 6*i - 88 + 109 wrt i?\nAnswer: 4*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1044 or 973?\nAnswer: 973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 78. Calculate the highest common factor of g and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2*k)**(-19))**(-12)\/((k*k**(2\/13)\/k*k*k*k**(-2))\/((k*k\/k**(-1\/2)*k)\/k)**(-9\/8)) assuming k is positive.\nAnswer: k**(141655\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922133829 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4*t - 3)*(-2*t + 0*t - t) - 2*t**2 + 2*t**2 + 3*t**2 + t**2 + t**2 + 0*t**2 to the form i*t**2 + h*t + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5799170 is divided by 1331.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, x: 5, m: 2, j: 5, r: 1, a: 1}. Give prob of picking 1 m and 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120544.7646 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6058000 = -3166*z + 3126*z. Round z to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-2 - 0))\/2. Let b(w) = 6*w**2 + 2*w - 3. Let x be b(1). Sort r, -5, x in decreasing order.\nAnswer: x, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.84 + -0.7. Let z = q + -0.04. Let a = z - 1.1. What is the nearest to 1 in a, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -32*m - 1667. What is t(-52)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: a6249 (base 14) to base 4\nAnswer: 1201322321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3109504, -6219010, -9328516?\nAnswer: -12438022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -37. Let a = -21 + d. Put -4, a, -5 in decreasing order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 20 = 17*s - 16*s, j = -5. Solve 77*y - 70*y = -s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-878)\/80*86\/239. Let j = 1\/1195 - s. Calculate the common denominator of (97\/(-12))\/((-1)\/1) and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 + -34 + (-1 - 27)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -4\/5 (c) -2\/9 (d) 2 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 97 + -25 + -20 - 9\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:56 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 749*11.8.\nAnswer: 8838.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 317. Calculate n(-41).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18815958*k**3 + 13713*k**2 - 358*k.\nAnswer: -112895748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(20))**2*5 + -2*(5 + sqrt(80)).\nAnswer: -8*sqrt(5) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:04 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 plus 394?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqhhqqqqqxxqhqsqqq. Give prob of sequence sxh.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 1, e: 3, l: 1, y: 4, s: 1}. What is prob of picking 1 n and 1 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.81181 days in seconds?\nAnswer: 3698940.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 340738, 681099, 1021460?\n\"Answer: 340361*l + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g + 0 + 0)*(5*g + 14 - 14) + 8*g**2 - 60*g + 60*g.\nAnswer: -37*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 + (-1)\/3. Let d = -332 + 1993\/6. Are p and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86\/425 + -8\/25. Let w = 4 + -2. Suppose 12 = -2*x - 7*j + 4*j, 8 = -w*j. Which is greater: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -5*f**3\/6 - f**2\/2 - 2*f. What are the prime factors of l(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5610.\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 158*x**2 - 327*x + 2. Let y(k) = -16*k**2. Determine i(y(r)).\nAnswer: 40448*r**4 + 5232*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 0.3, -1\/104, -0.7, -1\/2?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1bb8 + 1a601?\nAnswer: 205b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6184*i + 3079*i + 12 + 0 + 23 + 3092*i. Determine v(12).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 8*x**3 - 8 - 1144267*x + 3*x**2 + 1144257*x to k*x**2 + r + p*x**3 + n*x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**7\/105 + z**6\/20 - z**5\/10 + z**4\/12 + 2*z**3\/3 - 5. Let m(a) be the third derivative of d(a). Factor m(n).\nAnswer: -2*(n - 1)**2*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 0*j - 2*j)*(-1 + 0 + 0) - 38557 + 27*j + 38554 + 168*j.\nAnswer: 193*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16064 and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 + 27\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 4*y + 5. Let m be 3*(2 + (-3)\/9). Is h(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3839336758 to the nearest integer?\nAnswer: 61962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4307000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 53*g - 60. Suppose a = 57*k - 55*k - 110, 4*a + 24 = 0. Determine q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 + 2*m - 4*m**3 + 134 + 3*m**3 - 65 - 69. Let l be q(5). Solve -r - l = 9*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*g + 4*f, -3*g + 0*f = -4*f - 18. Solve 0 = -g*j + 6*j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137970367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 51 = -6*p. What is the greatest common factor of 119 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w. Suppose -38*q = -22*q - 5232. Let i(y) = q*y**2 - 274806*y + 274806*y. Determine j(i(t)).\nAnswer: -654*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*s - 366*m**2 + 137*m*s + 48*m - 30*s with respect to s.\nAnswer: -m**2 + 137*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 184, -5 in increasing order.\nAnswer: -5, 20, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270344 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(9*(-2)\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -215\/8. Put -1\/3, 3, o in decreasing order.\nAnswer: 3, o, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1792560 and 531560.\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -46*t + 10*t + 7*t + 12*t + 13*t - 23. Determine s(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.3212 and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, z: 3}. Give prob of picking 1 z and 1 t.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-75)*(-3 - 11\/(-2)). Let x(m) be the first derivative of -7 + 2\/5*m + b*m**3 - 1\/10*m**4 - 3\/5*m**2. Suppose x(c) = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 243 + 326 = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -91 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9100 and 6476680?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**3 - 54*w**2 + 23*w**3 + 54*w**2.\nAnswer: 37*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32 + 0)*1 - 3. Suppose -f = 2*l + 31. What are the prime factors of (-6)\/l - 118\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpccclclccppcllp. What is prob of picking 2 l and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 18.5. Which is the fourth smallest value? (a) t (b) 2\/11 (c) 0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w - 20*w - 328 = -31*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 22*a - 69. Let u be m(-18). What is the first derivative of -19 + 71*n**u - 31*n**3 - 37*n**3 wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from oxxo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3454644 (base 9) to base 4.\nAnswer: 13013300032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - 3*r + 4*r)*(-3*r + 0*r - 9*r) + 0*r**2 - r**2 - 2*r**2 as n*r**2 + w*r + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12866370 and 4290?\nAnswer: 167262810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*d + 6, -2*d + 6*r = 2*r. Calculate the remainder when 66 is divided by 9 + d + (-5 - -20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 3*q + 100. Calculate the remainder when q is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1990*n + 13927. What is k(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.334756 to three dps.\nAnswer: -1.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25099?\nAnswer: 19, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5 + 19 = 4*f, -5*f + 19 = 2*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1150823\/14940 + -3454\/45. Let v = y + -2\/83. Sort v, -5, -1.9 in decreasing order.\nAnswer: v, -1.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n + 12*n + 5*n + 11*n - 26.\nAnswer: -2*n - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288815554.\nAnswer: 2, 23, 263, 23873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 8 + 1 - 6*d + 10*d**2. Let f = 1315 - 1304. Is q(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2. Let u(f) = -3*f**2. Let w be u(1). Let r(g) = -9*g + 8. Let p(l) = -3*l + 3. Let d(k) = w*r(k) + 8*p(k). Give d(i(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2. Let y(h) be the third derivative of -13\/12*h**4 + 39*h**2 + 0*h + 0*h**3 + 0. Give j(y(f)).\nAnswer: 2704*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*m - 261030 = y, -2*y - 2*m - 174004 = 0. Let i(v) = 972*v**2 + 2*v + 2. Let d be i(6). Let q = d + y. Round q to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3836875 is divided by 6159?\nAnswer: 5977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 5*g**2 + 6*g + 2. Let j be w(6). Suppose -7*s = -v - j*s, -4 = -4*s. Solve -q - q = -b + 13, -v*b + 25 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224259 is divided by 224153.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/12 + q**3 + 3*q**2\/2 + 4*q. Let y(b) be the first derivative of d(b). Let w(n) = 4*n**2 + 5. Give 6*w(f) - 5*y(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m*m**(-10))*((m\/(m**(6\/7)*m*m))\/m)\/m*m\/(m\/(((m\/(m**(3\/13)*m))\/m)\/m))*((m\/((m*m**(-3\/4))\/m)*m)\/m)\/m assuming m is positive.\nAnswer: m**(1333\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10318855 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: Simplify ((sqrt(880) + (sqrt(880) - (sqrt(880) + sqrt(880) + sqrt(880)*-1 + sqrt(880))))*-1*1)\/((sqrt(720) + 5*sqrt(720))*-5 - sqrt(720)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -10*q + 50. Suppose -q = -0*k - 2*k, -4*v - 4*k + 164 = 0. What is the remainder when v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2 + 2*l + 2. Let j(s) = -3*s**3 + 4*s**2 - 7*s - 6. Let c(n) = n**2 - 28*n + 182. Let p be c(18). Calculate p*j(x) + 7*k(x).\nAnswer: x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971884.6 kilometers to centimeters.\nAnswer: 97188460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-4)\/(-6)*(-9)\/(-78)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -1. Let o(g) = 2*g**3 - 69*g**2 - 107*g - 26. Let a be o(36). Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 48*y + 603. What is k(-10)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340456288.\nAnswer: 2, 19, 29, 19309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.062 - 25.938. Let d = 18 + o. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 460 - 455. What is the smallest common multiple of v and 1081?\nAnswer: 5405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*c + 17733 = -3177 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20683 + -20448. Solve 243 - l = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 z when three letters picked without replacement from lsccczcvcsczccczcvc?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/15 + (-2)\/(-5). Suppose -12 = 6*i - c*i. Let m(y) = -y - 12. Determine m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -482 - -484. Let g = -1 + 4. Solve -4*y = c*r, g*r = -3*y - y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -176999 and 1.55830877.\nAnswer: -176997.44169123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*h**3 + 122 - 789*h**2 - 797*h**2 + 1577*h**2 - h + 19*h**3 in the form y + f*h**2 + u*h + w*h**3 and give y.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Rearrange 112 + 121 + 2*q**2 + 20 - 27 - 7 to k*q**2 + h*q + w and give w.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6888*p**3 - 196*p**2 + 196. Let o(w) = 106*w**3 - 3*w**2 + 3. Give 196*o(z) - 3*x(z).\nAnswer: 112*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 9. Let z(t) = t**2 - 5. Let b be (-74)\/12 + (3 + 7)\/60. Give b*r(m) - 11*z(m).\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -56, -20\/53, -4, 0.4?\nAnswer: -20\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(0 - 3) - 4. Suppose 0 = t - 1656 - 429. Let -t*h - z + 2045*h - 55*h**2 + 17 = 0. Calculate h.\nAnswer: -1, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhil when four letters picked without replacement from uiuhlhiliibbhlhuiihh?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a - 609. Let k(g) = 4*g. What is x(k(p))?\nAnswer: 32*p - 609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 16*u**2 - 18*u - 17. Let d be c(-17). Suppose d = 4*h - 56 - 80. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -24 - (-11)\/5 - -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Let r = -4.1 + -2.3. Let y = -6 - r. What is the closest to -1\/4 in z, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 20. Suppose 0 = 4*c + 43 - 55. What is the third derivative of -11*f**c - 2*f**3 + 7*f**2 + z*f**2 wrt f?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71.1 + 72. Let g = 0.046 + 2.854. Let j = q - g. Which is the closest to 0.1? (a) j (b) -1\/8 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4079*o - 4702. Let z be a(-78). Round z to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.2 (b) -2\/7 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 284985 and 45.\nAnswer: 284985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, d: 5, v: 3, w: 1}. What is prob of picking 2 v and 1 d?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 995 + -1222?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 754?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 20*g - 14. Let o be w(-19). Which is the nearest to o? (a) -2 (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10856 - 195481\/18. What is the common denominator of f and 43\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 247\/95 - 54758\/10480\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 18*r**2 - 38*r - 16. Calculate the smallest common multiple of y(20) and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 5*c + 3. Let o = -41 + 25. Let z be 0\/(-2) + o\/1. Let a(q) = 6*q**2 - 26*q + 16. Determine z*s(n) + 3*a(n).\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 11*w**3 + 2*w**2 - 4*w + 2. Let s(x) = 4*x**2 - 203*x - 49. Let h be s(51). Calculate q(h).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**6\/120 - b**5\/15 + b**4\/4 - 2*b**3\/3 - 89*b**2. Let o(y) = y**2 + 1 + 2 - y - 2. Give d(n) + 6*o(n).\nAnswer: -n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 2\/3*j**3 - 1\/8*j**4 - 23 + 3*j**2 + 0*j + 1\/20*j**5. Determine g(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from eyereeexeexyerx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540887480.\nAnswer: 2, 3, 5, 11, 17, 47, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 845787422 divided by 6173\nAnswer: 137014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067791067 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 8. Let t be 4\/(3\/(9\/3)). Suppose -t*x - v + 15 = 0, v = -4*v - 25. What are the prime factors of h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 5. Let w be l(-7). Let m be 12\/w*(-3)\/2. Let z = -833\/1035 + 1\/207. Which is the second biggest value? (a) -1\/3 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 23*k + 804. What is i(-9)?\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 129 and 645?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 - 27*i**2 - 340*i**3 + 9*i**2 + 4*i**2 - 1398*i**3.\nAnswer: -1738*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/243 or -1?\nAnswer: 1\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -47. Let d = l + -28. What is the second biggest value in -0.1, -2\/13, d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6687 - -10174. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-520)\/(-13) + 1 + (0 - -1) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-4 + 2) - -7. Suppose 7*w - 4*w + 9 = 0. Let u = w + q. What is the greatest common factor of u and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4\/u)\/u*u\/(u\/(u**7*u)))\/(u**(2\/43)*u*u**(2\/31)) assuming u is positive.\nAnswer: u**(11849\/1333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -377, -460, -539, -614, -685, -752, -815?\n\"Answer: 2*m**2 - 89*m - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 27*s**2 - 6*s + 171. What is r(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2 - 36380*z - 49400672 = 0. Calculate z.\nAnswer: -16712, -1478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + z + 1. Let p(h) = -h**2 + 6*h - 1. Let v be p(6). Let g be q(v). Let y = g - -5. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -457737 - -1?\nAnswer: -457736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 70 = 405. Let d be (-6)\/57 + (-1625)\/z. Let i = 91 - d. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623789 is divided by 811888?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165901*t + 165875*t = 468 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7119233 plus -4?\nAnswer: -7.7119233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -805*p**4\/24 - 149*p**3\/6 + p**2 + p. Is j(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 3*d**3 - 3*d**3)*(0 - 3 + 0) - d**3 - 8*d**3 - 4*d**3.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 34*x + 11. Suppose 2*b - 3*y - 3 = 0, -3*y + 26 = 2*b + 5. Suppose 4*q - b = 6. Is j(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 1\/6*d**2 + 13\/6*d.\nAnswer: -(d - 15)*(d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 2 (c) -4 (d) 11 (e) 18\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1368 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:06 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-2 - -1))\/(-10 - -5). Sort -0.5, 13, f in descending order.\nAnswer: 13, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m = -20. Let g(x) be the third derivative of x**4\/24 + 3*x**3\/2 + 2*x**2. Is g(m) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {c: 9, j: 2, r: 1, h: 1, e: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**0\/g)\/g*g))\/(g*g**(-2\/3)))\/(g**(2\/7)*g*g*(g\/g**(-4\/9))\/g*g)*((g**(-3)*g*g)\/(g**(-4\/9)*g))**(-2\/105) assuming g is positive.\nAnswer: g**(-1922\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {p: 1, i: 2, q: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + 3*d - 10. Let q be t(5). What is the derivative of 15 - 23 + 216*x**4 + q + 30 + 15*x**4 wrt x?\nAnswer: 924*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/120 + 7*s**5\/60 - s**4\/4 + 5*s**3\/6 - 3*s**2. Let k be l(6). Suppose 8 = k*f - 62. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*v**3 + 893060*v**2 + 134807639*v + 2.\nAnswer: -1338*v + 1786120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 2278656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - (-5712)\/196)\/(9\/(-4)*40\/105).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**(-1\/2)))*f)\/f*f)**(-40)\/(f**(-1\/2)*f)**(28\/5)*((f**(-2\/5)\/f)\/(f*(f**2\/f)\/f*f))\/(f\/(((f**3*f)\/f)\/f)*f*f**5) assuming f is positive.\nAnswer: f**(-356\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 + 6*k + 1. Let j(c) be the third derivative of c**5\/12 + 7*c**4\/24 + c**3\/6 + 4175*c**2. What is 2*j(o) - 3*x(o)?\nAnswer: -2*o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - (-55901 + 15\/(-3)). What is x rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*2\/8*(-42)\/(-105)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/7, -0.2, -54.\nAnswer: -54, -2\/7, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -12*1)\/(-2). Suppose -7 = -i + s*z + 5, z - 7 = -i. Let a = -0.03 - 0.37. Put a, i, -2 in descending order.\nAnswer: i, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*d + 541 - 91 = -69 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75566815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2836224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -0.4, 164, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 673806 and 915?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*b. Let m = -1 - -3. Let p(o) = -o + 2 + 4 - 2 - o**m. Calculate p(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47779\/6036 - 1\/1006. Find the common denominator of t and 293\/(-80) - (27 + 6916\/(-260)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -22*t - 160. What is f(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -2*u - 6*w + 35, -u - 3 = w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 59 = 4*q - 116, -140 = -3*q + 2*b. Let f = 76 - q. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 72. Let u be (f\/3)\/(3\/(-9)). What is the greatest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10642633 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, m: 2, j: 5, e: 3, i: 3, c: 3}. What is prob of sequence kmjj?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4008381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (1 + -7 - (27 - 17)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -3\/5 (c) 6\/109 (d) 0.2 (e) 199424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Suppose 0 = 3*b - 4*b + 2. Let f be ((b - 0) + -1)*2. Solve 4*l - 3*v + 35 = n, -f*v + 20 = -3*l - v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-424)\/(-88) + -5)\/(256\/66176).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - n = -11, 2*n = -12*j + 9*j + 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) + sqrt(76) + sqrt(19))**2 - (sqrt(19) + (3 + sqrt(19) + 3)**2).\nAnswer: -1575 - 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/117)\/((-146)\/(-2847)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2954 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: Suppose -j - 4*c + 4 + 11 = 0, 15 = 5*c. Sort 2, 4, -3, j in descending order.\nAnswer: 4, j, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 2\/11 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -3 (c) 0.08 (d) -2\/7 (e) 1.607\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(242)*-2)**2 + 4)*6 + ((sqrt(300)\/sqrt(6))**2 - sqrt(10)\/sqrt(5)*-5)).\nAnswer: 15*sqrt(2) + 17646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 p when four letters picked without replacement from {a: 3, e: 4, p: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45919 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*w + 27*w - 4554 = 170*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 5. Suppose -j - 3 = -5*b + 11, -5*b + 3*j = -22. Suppose 9*x - 50 = -5. Suppose 0 = b*m - w - 9, -x*m - w + 26 = -0*m. What is n(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 2 + 857*f**3 + 6*f**2 - f**2 + 15*f**3 + 770*f**3.\nAnswer: 1642*f**3 + 5*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) -1\/4 (c) -1\/3 (d) 1\/1107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -2*y**4 + 53\/6*y**3 - 131*y**2 + 0 + 0*y. Find the first derivative of n(g) wrt g.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -12*u**2 - 11*u**2 + 26*u**2 + 2 - 7*u. Is 11 a factor of d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = -2*a. Suppose -2*i + 1 = -a. Solve 0 = -2*n + 5*h - 1, -n - 2*n + h - i = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 28, -5.\nAnswer: -5, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 131388292 and 16030?\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2. Let j(t) = -6 - 3*t + 6*t - 3 - 2*t + 0. What is 2*j(o) - 11*m(o)?\nAnswer: 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/1809 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/13 (b) -1300 (c) 2\/15 (d) -2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.512 + 9.818. Let q = -62.8 + 51. Let n = q + y. Round n to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*n - 81111 + 238440. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 686 + -1299. Let m = g - -1134. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4809 and 273.\nAnswer: 62517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16752511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -520*p**3\/3 + 6058. Let a(w) = -5*w**2. Determine a(r(o)).\nAnswer: -1352000*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s**2 + 2*s - 11. Let u(y) = 6*y**2 + 2*y - 11. Calculate 4*l(f) - 5*u(f).\nAnswer: -2*f**2 - 2*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*x + 12 = 0, -4*w = -x + 3*x - 6. Let j(i) be the first derivative of 1\/2*i**2 + 1 + 3\/2*i**4 + w*i + 0*i**3. What is j(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469565357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + z + 4. Let f(c) = -c + 3. Suppose -3*g = -4*g + 2. Let a(q) = q - 6. Let t(m) = g*a(m) + 5*f(m). Calculate t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 5, u: 1, x: 1, d: 1}. What is prob of sequence ulvx?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, a: 1, l: 3}. Give prob of picking 2 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6788168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 8. Let n be x(0). Suppose 0 = -4*y - y. Suppose 4*b - h - 1 = y, 0*h = 3*b - 2*h - 2. Solve 3*u - n*u - 20 = b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -550 divided by -110\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -141523?\nAnswer: -141514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -39, -88, -157, -246?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnpl. Give prob of sequence lpl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -11, 4, 16\/7, -433, 4\/3?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110 - 1111?\nAnswer: 101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -12*x**3 - 158*x**2 - 21*x + 65. Calculate q(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b + 4*b = 0. Suppose b = 5*t + 74 - 179. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 102\/(-85) + (-31)\/(-5). Suppose 3*h - 16 = -h. Sort 3, r, h in descending order.\nAnswer: r, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r. Let q(x) = -79*x**2 + 81*x**2 - 4 + 4. Determine q(i(m)).\nAnswer: 242*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1708 equal to 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 0.4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pooobppopboopo. What is prob of picking 2 p?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w - 2. Calculate v(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-119 + 0)\/(-1). Let u = -41229\/14 - -2940. Calculate the common denominator of u and (-2)\/(-5) - 598\/d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78328539?\nAnswer: 3, 967019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 8*d + 8. Let l(c) = c**2 + 6*c - 6. Let x(m) = -m + 1. Let v(b) = -l(b) - 3*x(b). Determine -3*u(s) + 8*v(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4 = 4*w, -419*y + 2 = -418*y - 4*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 958.239 millilitres in litres?\nAnswer: 0.958239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 4:45 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {m: 1, u: 6, o: 2, z: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 12*v**2 + 1. Let h be m(1). Suppose -3 = 4*k + h. Let d = -4 - 0. Is d greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.2 + 7. What is the smallest value in -1, -0.5, -1\/3, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 10 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddwvdvvdddwvwwvvv. Give prob of picking 1 v, 1 w, and 2 d.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = z - 13, -3*z = 4*q - 37. Let k be q\/78 + (-4)\/24. Let r = k - -55\/78. Does 11 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 38, 43, 48?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1241478*r + 2482951*r - 1241475*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 + -134. Suppose -27 = -5*q + i. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 8. What is the remainder when 456\/9 - 2\/3 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-168)\/7)*(-7 - -1). Let t = g + 345. Factor 164*m - 353*m + t*m + 2*m**2.\nAnswer: 2*m*(m - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*v - 199*v = 6630 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.11 * -17.\nAnswer: 35.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t = 40*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -1 - (-41 + 1 - -20)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 3:04 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 11*j - 2*j - 2)*(-159 - 621 - 106).\nAnswer: 6202*j + 1772","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - q**2 + 4*q - 1. Calculate b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 488640\/(-32576)*(-2)\/5*(6\/(-10))\/(-3).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8*f*f**(-6)*f)**12*(f*f*f\/f**(-6))\/(f\/((f*f**5)\/f))*(f**(-1)\/f)**(15\/7) assuming f is positive.\nAnswer: f**(397\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*c - 110, -13 = -2*c - 3. Let d be (-6)\/s - ((-186)\/8)\/3. Suppose -d*z - 630 = -13*z. Calculate the remainder when z is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 7:37 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 336539431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 1. Suppose -1 = -4*m + 11. Suppose m = 2*w + y + 1, -2*y = 8. Let v be r(w). Put v, -3, 4 in decreasing order.\nAnswer: 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459322 is divided by 1406?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110059, -109781, -109503, -109225, -108947, -108669?\nAnswer: -108391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 13) in base 3?\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(720) - (-1 + sqrt(5) + 2) - (-4*sqrt(5)*2 + sqrt(5) - sqrt(135)\/sqrt(3)).\nAnswer: 2 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14802 divided by 6?\nAnswer: -2467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207689*c**3*h**3 - c**3*h*s**3 + c**2*h**2*s**2 - 2*c**2*h*s**2 - 940*c*h**2*s + c*s - 2*h**3*s**3 wrt h?\nAnswer: -1246134*c**3 - 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 3:24 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 2)*(1 - 2). Let n(p) = 0 + j - 2 + p. Calculate n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u. Let n(z) be the third derivative of 3*z**5\/20 + 3*z**4\/8 + 272*z**2. Calculate f(n(g)).\nAnswer: -9*g**2 - 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/4)\/(77\/2596) and 38\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29738 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0.3. Let m = 2.1 + -0.1. Let j = m + -1. Is a greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 24 = 4*c, -2*c = s - 2 - 4. Suppose 0 = -5*n + 4*z - 308, 3*z + 139 = -c*n - 155. What is n rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/133? (a) -1\/3 (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 27*q**5\/35 - 1557*q**4\/28 + 808*q**3\/7 + 2670*q**2\/7 + 288*q + 1997. Determine a, given that j(a) = 0.\nAnswer: -2\/3, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63418 and 5142.\nAnswer: 190254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2 - 7)\/(-1). Let g = -4 + o. Solve 0 = -4*m + 2*m + g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 minus 5163.24?\nAnswer: -5163.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256985079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 668.77322181 - -0.0507.\nAnswer: 668.82392181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(28) - 3*((sqrt(7)*-1 + sqrt(7))**2 - sqrt(7)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28087200 divided by 31208?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 163 = 95. Which is the third biggest value? (a) j (b) 1 (c) 1\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294\/245*(-5)\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 2*y**5\/5 - 3*y - 7. What is the derivative of p(j) wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 273a - -3?\nAnswer: 273d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 7*n + 13. Let w be o(0). Sort 4, -4, w in decreasing order.\nAnswer: w, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-3)*(-455)\/(-78)*4\/14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -235\/2. Let f = -187\/6 + q. Put 1, f, 0 in increasing order.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z + 8 + 4*z**2 - 8 + (-2 + 2 - 2*z)*(-z + 2 - 2).\nAnswer: 6*z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44370.95238 - 44371.3633796362. Let n = w + 0.411. What is n rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 21*y - 14. Is 6 a factor of q(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1480867 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 237 in -0.5, -1, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 1)*(2 - 2 - 4*u**2)*(-u**2 + 6*u**2 + 5*u**2).\nAnswer: -200*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 2245528 and 2245532 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/(v\/(v*v*v\/v**(-2\/23))*v)))*v*v**(-1\/5)*v)\/(v**(-1\/3)\/v**(4\/9)) assuming v is positive.\nAnswer: v**(5863\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20333610 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y - 23. Give v(-17).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*h = 0, -4*s + 2*s = -h - 15. Let c be (-37)\/13 + (-3)\/(-1). What is the nearest to 0 in c, s, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5805)\/1215 + -1 + 7\/9. Put -1, g, 4, 6 in increasing order.\nAnswer: g, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**2\/3 - 68924*v\/3 = 0. What is v?\nAnswer: -17231, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Let g = t - -0.4. Which is the smallest value? (a) -2\/5 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53042236 divided by 13?\nAnswer: -4080172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d**3 + d**2 - d + 1. Let v be q(1). Let j be ((-2)\/(-5))\/(8\/v). Let p = 15\/52 + -7\/13. Which is the third biggest value? (a) 2 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.1 (c) 204 (d) -1\/15 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78921329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 37. Let k be r(-17). Suppose -k*a + 46 = -38. Suppose a*m - 33*m + 35 = 0. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76514822944*o**2 + 12*o**3 + 76514822944*o**2.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 632156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1, 4.58, 2, 0.2, -1\/178?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(325)).\nAnswer: -25*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2214 + 177.1214. Let m = -313 - -144. Let p = y + m. Round p to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = i + 2*w, 0 = -i + 3*w - 0*w - 9. Let b(c) = -6*c - 67. Let p be b(-12). Solve 0 = 4*v, -p*z + i*z - 2*v + 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x. Let y(t) = -t**2 + 2*t + 4. Let b be y(4). What is the closest to -0.1 in 0.5, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213573933 divided by 1?\nAnswer: 213573933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 12606?\nAnswer: 12603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 48\/20 - (-234)\/135.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73, 82, 93, 106?\n\"Answer: t**2 + 6*t + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 93 = 41 + 16 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 - 28*m**2 + 101*m - 295. Let c(a) = 3*a**3 - 20*a**2 + 68*a - 197. Let b(s) = -7*c(s) + 5*u(s). What is the first derivative of b(h) wrt h?\nAnswer: 12*h**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - -3 - 8\/(-1). Let s(t) = -t**2 + 6*t + 7. Let k be s(r). Suppose -4*c = -k*c - 20. Solve 5 + 20 = c*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120958 is divided by 117964.\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {d: 3, k: 7}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + -34 + 31.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11855*r - 123 = -2*z + 11836*r, -z = 4*r - 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhyh when four letters picked without replacement from {r: 3, h: 2, c: 2, y: 5, l: 2, o: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -41*o**2. Let l(i) = 14*i. What is u(l(n))?\nAnswer: -8036*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 5*q**3 + 6 + 19 - 2*q**3 - 2*q**3 + 12*q**2 to y*q + i + x*q**3 + s*q**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 556*2\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*a + 123*a - 517*a - 141*a to the form l*a + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/6*378\/(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - 9 - (0 - -4) - (-35 - -34).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m - 13*m - 7*m + 3*m.\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -34. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18843, -18847, -18851, -18855?\n\"Answer: -4*u - 18839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:20 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3924 divided by 35.\nAnswer: -3924\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -231.5 - -232. What is the second smallest value in 4, l, 1\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3 - 2 - 50*m**2 + 52*m**2 + 2*m - 3. Calculate h(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 13551684807658.\nAnswer: 13551684807658.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 92*v + 68. Let t be b(-30). Calculate the smallest common multiple of t\/3 + ((-112)\/(-21))\/(-8) and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 465\/7*p + 1320\/7*p**4 + 78\/7 + 60\/7*p**2 - 1875\/7*p**3 - 48\/7*p**5 = 0. Calculate p.\nAnswer: -1\/4, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2)*-2)\/((-2)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-4) - 0)\/(16\/128). What is the third derivative of 2 + 46 - 2*u**3 + 14*u**3 + u**h - 7 wrt u?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 - -26.82. Let p = c - 27.1. What is the nearest to p in 1, -14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(((-2)\/40)\/(10\/(-40))). Solve 15 = -l + r*x, 4*x = -l + 5*x - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24239933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgggjggg. What is prob of sequence jggj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.15 + 4.10352618?\nAnswer: -24.04647382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296656?\nAnswer: 2, 18541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v - 12 + v**2 + 0*v**2 + 3 - 20*v - 3 + 5*v. Suppose 3*q - 9 = 2*q. Determine x(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 130*v + 1149. What is y(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + 41*z**2\/4 - 399*z\/4 - 441\/4.\nAnswer: -(z - 21)**2*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:40 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*10\/(140\/2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0621519422 to six decimal places.\nAnswer: -0.062152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26691 - 40344\nAnswer: -13653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g*i**3*x + 4*g*i**3 - 112*g*i*x + 8*g*x - 2*i**3 - i - 26*x + 189 wrt x?\nAnswer: -2*g*i**3 - 112*g*i + 8*g - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - -8 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - -86 - (-3 - -12) - -20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = 2*y + 3*d, 12 = 3*d. Solve y*k + 33 + 0 = 5*z, 0 = -5*k - 3*z + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932210676 minus 1.8317?\nAnswer: 932210674.1683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987291.1 micrometers to nanometers.\nAnswer: 987291100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:16 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 1. Suppose -i + 5*m + 102 = -5, 0 = -r*i + 5*m + 413. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) 2\/57 (d) -1\/2066 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -471 or -472?\nAnswer: -472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 + 0*u**2 + 0*u**2)*(112409 + 7063*u - 56195 - 56212) to k*u**2 + n*u + s + i*u**3 and give i.\nAnswer: 7063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 678 = 1272. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32*(-37)\/(-15096))\/(4\/(-6)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -90.2. Which is the biggest value? (a) 0.3 (b) -42 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2 (c) 5 (d) 1.6 (e) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54583 + 54606.967. Let d = 23.03 - m. Round d to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95.2 + 95. Let o = 0 + 1. Which is the closest to o? (a) m (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 28*h - 2*h - 3.\nAnswer: -26*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 237, 242, 249, 258?\n\"Answer: i**2 + 2*i + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 2.52.\nAnswer: 2.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -19*g**2 + 9*g + 5. Calculate n(-2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99, 1090, 3813, 9144, 17959, 31134, 49545, 74068?\n\"Answer: 146*l**3 - 10*l**2 - l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = s + 1, -78*s + 75*s - 7 = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22\/5 + -2107\/480. Let i(w) be the third derivative of y*w**4 + 2*w**2 + 1\/120*w**5 + 0*w**3 + 0 + 0*w. Determine s, given that i(s) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2786*m**3 - 78*m**3 + 557*m**3.\nAnswer: 3265*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*r - 4. Let s be r\/(24\/33)*-2. Let l = s + -6. Solve -h - 14 = -3*c, -h + c + 17 = -l*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 3*t + 2*t**3 + t**2 - 2*t**2 to v*t**2 + b*t + g + w*t**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q - 229. Let z be r(-22). Let v(n) = 5*n**2 + 12*n - 46. Is v(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u**1*u))*u))\/u*u*u**(-5) assuming u is positive.\nAnswer: u**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and 290.\nAnswer: 43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.24 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 24*i - 26. Let d be g(-25). Let s be 27\/((-6)\/2) - -1. Let w be 4\/s*0*d\/1. Solve -5*q + w*q = -5, -2*a + 3*q - 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 958. Is r(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 547*z + 544*z - 1088*z + 72, 8*z - 3*z = -s - 36 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/3))**(-8\/3)\/((z*z**(5\/7)\/z)\/(z*z\/(z**(-3)*z)*z)))**(-15))**(-44) assuming z is positive.\nAnswer: z**(71720\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -113 + 125 + 3 + -2 + -9 + -27.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (2*sqrt(396))**2).\nAnswer: -9522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 49 = 3*v - 50, 212 = 2*c - v. Let s be (4\/(-10))\/((-7)\/c). Calculate the remainder when 182\/s + (-14)\/42 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1149733*b**3 - 76129*b**2 - 2*b + 4.\nAnswer: 6898398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trp when three letters picked without replacement from rddpdpdptttrtrp?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 245 = -21*r + 51*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmmk when four letters picked without replacement from mkkkmmkmkkmmmmmk.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(225)\/(sqrt(20)\/(sqrt(4) + sqrt(8)\/sqrt(2))) + (-3*(sqrt(315)*2 + sqrt(315)) - sqrt(315))\/sqrt(7).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from {x: 4, p: 2, i: 1, d: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*r - 6. Let x = r - -5. Suppose -j + 3*b + 20 = 0, 4*j - b = x*b + 80. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 9*s**4\/5 + 534*s**3\/5 - 912*s**2\/5 + 186*s\/5 + 183\/5 = 0.\nAnswer: -61, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100030686.5398+-28\nAnswer: 100030658.5398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 38 = 6. Solve 0 = -h - 3*p - z, -p - 20 = 2*h - 6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - 0) + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-25)*-5 - 5. Let o be (-20)\/(-10) - 34\/a. Suppose -6*i + 2*i + o = 5*m, -4*m - 3*i + 15 = 0. Solve -m*f + 5*f = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 1. Let s be k(-11). Suppose 13 + 14 = 3*m. Suppose 2*c + 2*a = s - 4, 0 = 3*a + m. What is the smallest common multiple of c and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 - 9*v**2 - 3*v**2)*(-2*v + 3*v - 3*v) - 4*v**3 - 33 + 33 in the form k*v**2 + f*v + m*v**3 + g and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0. Let u = -5.8 + 5.9. What is the nearest to 1 in -3, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 17*o**6\/6 + o**2 + 16. What is the second derivative of u(q) wrt q?\nAnswer: 340*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24318 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*u + 3601 = 0, 5*u - u - 10833 = -3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p - 8. Suppose 0 = -y + 5, u - 2*y = -3*y + 17. Let w(s) = -s - 1. Let x(q) = u*w(q) - i(q). Calculate x(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/10 and -59\/1252.\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39\/31 + 557\/124. Which is smaller: t or 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8120413 to three dps.\nAnswer: -0.812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267899 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644880 != 1644878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, 3, 2 in descending order.\nAnswer: 6, 3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 4*y**2 - y + 3. Let w be q(4). Let j be 7\/(-63)*(-4)\/54. Let z = 322\/243 + j. Which is the closest to 2\/5? (a) 3 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -10. Let b(u) = -2*u - 6. Let d be b(x). What is the third derivative of 6*i + d*i**2 - 4*i**6 - 6*i - 3*i**6 wrt i?\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*v + 69 = -57, g - 3*v = 150. Which is the third biggest value? (a) g (b) 0 (c) -2 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-2 + sqrt(1100))*-1)**2 + -2) - (-2 + (sqrt(1100) - ((sqrt(1100) + 1)*1 - sqrt(1100))))*2.\nAnswer: -2198 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -23465, -3, 6 in descending order.\nAnswer: 6, -3, -67, -23465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -42 + 3*p - 2*p + 2*p**2 + 0*p - p**2 + 41. Calculate y(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -1\/49426 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-4)\/(-6))\/((-1)\/(-2)))\/((-940)\/(-22560)). Solve -4*i - 3*c + 5 = -3, 4*i = 3*c + v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 29*m - 30. Let t(f) = 49*f - 51. Let q(a) = -12*p(a) + 7*t(a). Let k = -2 - -3. Let n = -40 + 38. Let w(x) = -x + 1. What is k*q(g) + n*w(g)?\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 80. Is -1\/16 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2. Let m(s) = -41*s**2 - 1712 + 1712. What is r(m(j))?\nAnswer: -5043*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 196, 290, 384, 478, 572?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p**2 - 3*p + 3. Let h = 5 - -5. Let g be 4\/(-2)*h\/4. Let l(b) = -11*b**2 - 5*b + 5. Suppose -19*q + 46*q - 81 = 0. Give g*d(m) + q*l(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -543.6 - -544. Which is the closest to 5? (a) 4 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4246993762 to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 16) to base 7\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*x = 36 - 104, 42 = 4*h + 3*x. What is the lowest common multiple of h and 220?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 8*d + 18 = -2*y - 26, -20 = y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-133))\/(2*1\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 352492 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - c + 1. Let x(h) = 7*h**2 - 6*h + 1. Let t(k) = -6*g(k) + x(k). What is the tens digit of t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1331) - ((sqrt(1331) - sqrt(1331)*-2) + sqrt(1331)))*-4 + sqrt(1331)))**2.\nAnswer: 224939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 5, -4, 355 in decreasing order.\nAnswer: 355, 60, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614991?\nAnswer: 3, 13, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 14. Let c be u(-6). Let j(r) = -3*r - 13. Let t(n) = -3*n - 13. Let l(v) = -4*j(v) + 3*t(v). Let a be l(c). Solve -5 = 5*z - a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Which is the closest to 0? (a) 3\/2 (b) i (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - (3 + 1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p - 16 = 3*j - 166, 0 = 2*p - 5*j - 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 42*q**3 + 2*q**2 - q - 1. Give m(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-98)\/4 + ((-7)\/(-2))\/(-7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18248724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15186.\nAnswer: 2, 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, 1\/2, 35?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from hllkhlkhlhhk?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4734131 smaller than 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 150355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + c**2 + 105. Calculate y(0).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2264*z + 40849. Determine k(-18).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 931?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 118, 200, 224, 160, -22, -352?\n\"Answer: -5*g**3 + g**2 + 114*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26307 + 26308.3304462. Let n = 0.0304282 - r. Let m = n + 1.3. What is m rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 - (-10 + 12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 10:10 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(2\/49)*p)\/p))**(-4\/31)*p**(-5\/8)\/p**(1\/4) assuming p is positive.\nAnswer: p**(-12137\/12152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-12)*2)\/((-29)\/3306). Suppose -84 - z = -3*j. Calculate the remainder when 82 is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(360)\/sqrt(5) + (sqrt(72) + -1)**2.\nAnswer: -6*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 31294.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1542933580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/2092 and 46\/3811?\nAnswer: 7972612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -13*c + 18. Let l(g) = -9*g + 12. Let y(s) = 7*l(s) - 5*x(s). What is y(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 41235. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, 2 in ascending order.\nAnswer: -3, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (2 - (-3 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120211122101 (base 3) to base 7.\nAnswer: 10111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2292795.7098 and -6.2.\nAnswer: -2292801.9098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -81441893.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*b + 4*c, 5*b = 3*c - 4 - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24340 - -3?\nAnswer: 24343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14487.14559 rounded to the nearest ten?\nAnswer: -14490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405895677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 125*b - 25. What are the prime factors of l(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 4, 2, 17, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahov when four letters picked without replacement from vvhovaahvvccvc?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t + 202. What is d(-32)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 5:04 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 1, v: 1, b: 1, i: 1, q: 2}. Give prob of sequence qvbq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -283*k**4\/8 - 8*k**3 + 27*k**2. Is g(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1474 + -1409. Let t(u) = u**2 - 6*u + 4. Let l be t(-5). Let j = x - l. Solve -n - 3 = -2*q, 3*n - q + j + 8 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10549, 21111, 31673, 42235?\n\"Answer: 10562*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 41. Is -1 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67151489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s + 1. Let d be 4*(-8)\/64*-6. Calculate c(d).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by -90*3*(-2)\/18 - -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from azzzzazzjpljzzijzpa?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -6. Let l(i) = i**2 - 3*i - 3 - i + i - 20. What is the tens digit of l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 28.\nAnswer: -1, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -5*z + 2*z**3 - 6\/7*z**7 - 14\/5*z**6 - 2*z**5 + 2*z**4 + 0 - 2*z**2. Find s such that c(s) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/15 - 0)*117\/(-7215)*37?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110313 - 111?\nAnswer: -111030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60709133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 24*h**2. Let j(c) be the second derivative of 7*c**4\/3 - 405*c. Calculate j(q(g)).\nAnswer: 16128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 118 + 94*z - 118 + 46*z as r*z + w and give r.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.8 in 0.4, 149.45, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_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: 0.5*-0.158\nAnswer: -0.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18c67a (base 15) in base 7?\nAnswer: 13153012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0*i**6 + 0 - 7*i**2 - 11\/336*i**8 + 0*i**3 + 0*i + 0*i**7 + 0*i**4 - 1\/15*i**5. What is the third derivative of k(w) wrt w?\nAnswer: -660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7892 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000540514201 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8251150, 33004614, 74260384, 132018454, 206278818, 297041470?\n\"Answer: -a**3 + 8251159*a**2 - 6*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 6. Let f be p(5). Let t(x) = x + 3*x**2 - 2 - f*x**2 - x**2 + 3*x**2. What is the lowest common multiple of t(3) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7))**(7\/5)*q\/q**7*q*(((q**(-10\/3)*q)\/q)\/q)\/q*q assuming q is positive.\nAnswer: q**(-134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(700)*2 - sqrt(42)\/(sqrt(6) - (sqrt(6) + (-1*sqrt(294) - sqrt(294) - sqrt(6)))))**2.\nAnswer: -598*sqrt(7)\/15 + 626032\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.092427 times 0.1\nAnswer: -0.1092427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19543335 divided by 5\nAnswer: 3908667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:57 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.11. Let w = 337.724 - 338. Let c = 0.676 + w. What is the third smallest value in d, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*t**4\/19 + 50*t**3\/19 + 56*t**2\/19 + 8*t\/19.\nAnswer: 2*t*(t + 2)**2*(6*t + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 17 + 2 + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34757 + -0.4456329.\nAnswer: 34756.5543671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/18946491 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 967, 969, 981, 1009, 1059, 1137, 1249, 1401?\n\"Answer: p**3 - p**2 - 2*p + 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 308449049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 371*m - 28. Let n be s(-7). Let w be (32\/6)\/(n\/(-873) + -3). Find the first derivative of 16*z**4 - z**4 + 816 - w wrt z.\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvvhhbvhhhbhhh. What is prob of sequence hvb?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 154259 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*((0*r + 4*r - 3*r)*(4 + 0 - 1) - r + 2*r - 2*r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-58) - (-5355)\/5667354*-88.\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*f + 3 = -2*x, 2*x - 4*f = 14. Let h = -2.969 - -3.069. Let u be 3 - -3*(-3 + 1). What is the nearest to h in x, -1, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 19, -5, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 2*x**2 - 34*x + 49. Let r be f(0). Solve -43*o = -r*o - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/70840 and -97\/1649560?\nAnswer: 11546920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -306, 6, 2, -2, 1 in descending order.\nAnswer: 6, 2, 1, -1, -2, -3, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-424)\/265)\/((-8)\/50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 108?\nAnswer: ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -3\/4*s**2 - 3 + 2\/9*s**3 + 1\/3*s. Factor d(q).\nAnswer: (q - 2)*(4*q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -140*g**4 - 16*g**3 + 156*g**2 + 16*g - 16 = 0.\nAnswer: -1, -2\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-7 + 1) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 times 231726?\nAnswer: -46576926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/10061 and 21\/505?\nAnswer: 5080805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 3)*(1 + 5*f**3 - 1) + (2 - 2 + f**3)*(-3 + 2 + 3).\nAnswer: 42*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 8:02 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (1 + -5 + -1 + -4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -24*y**2 + y. Let v be 2 + -3 - (-10 + 22)\/(-6). What is r(v)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 3:22 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20381\/19314 - 1\/3219. Let o = x + 10\/9. What is the common denominator of o and 29\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -418.0234 + 33.6044. Let n = 0.081 - x. What is n rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 184268?\nAnswer: -128987.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 2. Suppose 0 = -4*h - 3*q, -2*h - q - 1 - 1 = 0. Let z be g(h). Let f(m) = z*m + 4 + 4 - 3. Let u(t) = -6*t - 4. Calculate 4*f(s) + 5*u(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91307003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-9*9\/(-30))\/((-30)\/(-60)))\/(42\/140)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + 4 + (-1 - -2) + -11 + 11 + -15?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 268b?\nAnswer: -2690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328*w**3 + 23*w wrt w.\nAnswer: 1968*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - 135.6. Let l = o + 11.60453. Let d = -0.005 + l. Round d to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 31. Let v = -15.5 - o. Which is the closest to 4? (a) -2\/11 (b) 1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202224210 (base 5) to base 11.\nAnswer: 51054a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w**2 - 604\/5 - 1\/5*w**3 - 608\/5*w = 0.\nAnswer: -151, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 161225661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-100)\/48)\/5)\/((-49)\/((-5733)\/26))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 456 + -2?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1477\/1265 or 0?\nAnswer: 1477\/1265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -18*f**3 + 12*f**2 - 3*f + 524. Let q(j) = 10*j**3 - 7*j**2 + 2*j - 263. Give 5*q(p) + 3*r(p).\nAnswer: -4*p**3 + p**2 + p + 257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*y - 18300 = -483*y for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2\/13*c + 2\/39*c**3 - 1\/26*c**4 + 19 + 1\/13*c**2. What is t in z(t) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4682 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 302, 771, 1460, 2375, 3522, 4907, 6536?\n\"Answer: m**3 + 101*m**2 - 55*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(-1 + (sqrt(720) - sqrt(720)*2 - sqrt(720))*-4)**2 + -5.\nAnswer: -1152*sqrt(5) + 276486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -6\/14739407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*n + 14 - 43, -4*k - 4*n - 76 = 0. Let y = 201 + k. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 - g**2 + 0*g**4 - g - 20 - 13 + 0*g**2 in the form c*g**4 + f*g + j + k*g**2 + y*g**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -986*g**2 - g + 574 wrt g?\nAnswer: -1972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134.8129789 rounded to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14929 - -14921. Put d, 3, -81 in ascending order.\nAnswer: -81, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -432.2938 to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 98, 158, 218, 278, 338, 398?\n\"Answer: 60*m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7806128 rounded to one decimal place?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = -o, -16 = -3*w + 2*o - 3. Differentiate -37*t + 696 - 1773 + 553 + 705 + 4*t**w wrt t.\nAnswer: 12*t**2 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - l + 8 = 0, 0*o - l = -5*o. Put 8, o, -5 in ascending order.\nAnswer: -5, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 13*d**2 + 20*d + 31. Determine j(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 3*a**2 + 2*a + 2. Let m be u(3). Suppose 0 = -4*j - b - 50, -4*b + b = -5*j - 71. Let t = m - j. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:01 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 6, -1\/2, -3, -130, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037213 to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*7\/84)\/(5\/1).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -449, -3, 0.5, 0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (5 + -3) - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 5 (c) 9 (d) -13 (e) -151\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = w. Suppose -3*s - o = -22 - 6, 0 = -3*s - 4*o + 22. Are w and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-3))\/((-12)\/(-18)). Suppose q = 6*r - 5*r. Factor 2*a**5 + 4*a**3 - 10*a**4 - 2*a**r + 6*a**4.\nAnswer: 2*a**3*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2200 and 12611000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439180?\nAnswer: 2, 5, 227, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 506481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 102832*n + 1321802528.\nAnswer: 2*(n + 25708)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/((-462)\/(-12)) - 2398\/(-14). Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10925955 is divided by 420228.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z - 35*z**2 + 81*z - 11*z - 17*z - 39*z.\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -106*n + 25. Let j(x) be the first derivative of 317*x**2\/2 - 77*x - 23. Let w(d) = -2*j(d) - 7*k(d). Differentiate w(i) with respect to i.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -310\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 94556\/5219 - (19\/17 - (-3)\/(-3)). Let j be (1 + 2)*13\/(-3). Let n = j + l. Solve n*r + 1 + 19 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/8)\/(z**(2\/3)*z))**(1\/21) assuming z is positive.\nAnswer: z**(-7\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 14, g: 4}. What is prob of picking 2 g?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2. Let t(o) = -279*o**2 - 2*o - 38. What is t(g(m))?\nAnswer: -1116*m**4 - 4*m**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -59. Suppose -r + 44 = 42. Let g be (3 + -4)\/(1\/(-2)). Solve g*v + q = r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*i + 106*i + i to z + q*i and give q.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1677 - -1677.029. Let m = 0.05 + -0.05. Let f = b - m. Round f to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.809\nAnswer: -0.4045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -211566 divided by 26\nAnswer: -105783\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1276*k - 1309*k - 34 + 37 + 3*k - k - k + (1 + 0 + 1)*(-3*k + 3 - 3) to i*k + c and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 + 69*j**2 - 69*j - 11*j + 4*j**3 + 26*j + 9*j wrt j.\nAnswer: 24*j + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -13. Which is the biggest value? (a) v (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -25. Determine v, given that 148*v**2 - 3*v**t + 80*v + 23*v**4 + 16*v**4 + 120*v**3 + 16 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*k + 40 = 94*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101432 (base 6) to base 8.\nAnswer: -153034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*z + 2*o, o = -5*z + 30 + 15. Let s be 2\/(-9) + 43\/(-9). Let w = z + s. Let i(g) = g**3 - 5*g**2 + g - 4. Determine i(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 11*z + 6. List the prime factors of v(-17).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349223 is divided by 62.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*m - 24, 2*k + 2*m + 27 - 5 = 0. Let p be (1*(-5)\/k)\/((-2)\/(-12)). Let h = 0.2 + 0.8. Which is the third smallest value? (a) h (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from iatdixxxidd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17599 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2. Let j(n) = 6*n**2 - 4*n + 4. Let t(y) = -6*y**2 + 5*y - 5. Let i(x) = -5*j(x) - 4*t(x). What is i(u(c))?\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 17*y**2 - 25*y - 445. Determine k(13).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -122, 2\/9, 4\/7 in increasing order.\nAnswer: -122, -1\/6, 2\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 348\/(-72)*(5\/(-4))\/1 and -11\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(189)\/sqrt(3) + -4 + (sqrt(2240) + (sqrt(2240) - ((sqrt(2240) - sqrt(2240)*1) + sqrt(2240))) + sqrt(35))\/(sqrt(20)*1).\nAnswer: -9*sqrt(7)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + (-10 - -5))\/((-3)\/42). Suppose 10*m - y*m = -1288. Is m a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3*(-12)\/(-90))\/((-2)\/4) and -47\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -65*d - 546. Calculate w(-10).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 65. Suppose -2*k = -g - 1, c = g + 4*k - 7*k - 2. List the prime factors of 2 + g\/3 - (-784)\/12.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22934459 is divided by 4342.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7891 divided by -13241\nAnswer: 7891\/13241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 72*h + 1. Let o(v) = 12*v + 3. Calculate 4*o(q) - s(q).\nAnswer: -24*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61616*b = -61580*b - 180. Let z(k) = -k**2 - 8*k - 2. Let l be z(-7). Let f be l\/(-1)*(1 + -2). Solve b*m + 15 = f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 136 + 135 - 271.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**4 - 259*p**3 - 8*p - 6071?\nAnswer: 8*p**3 - 777*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/140 and -61\/14803780.\nAnswer: 103626460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 11*s**2 - 7*s + 6. Let k be n(10). Let u = k + 3. Suppose -u*o + 37*o = -152. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 10*w**2 - 8*w + 5. Let v(n) = -4*n**2 - 5*n - 3. Let f be v(-2). Determine t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1456675*l - 1455107*l + 2911789*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2622 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 46 + 18. Let w(b) = -2*b**2 - 5*b + 2. Let c be w(3). Let i = 61 + c. Calculate the remainder when i is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let g(q) = 4*q**2 + 18*q. Let i(v) = v + 9. Let d be i(-7). Let j(t) = d*z(t) - g(t). Factor j(o).\nAnswer: -4*o*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 5 + 20)*(22*l + 1648 - 1648).\nAnswer: 836*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2)*(-2092*q**3 + 546*q**3 - 3898*q**3) to b*q + g*q**2 + a + y*q**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 34. Suppose 0 = -m*x + 7*x - 8105. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r*r**1*r*r)\/(r**0*r*r)**(13\/4) assuming r is positive.\nAnswer: r**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + -35 + 36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 + 49109*k\/3 - 98206.\nAnswer: -(k - 49103)*(k - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-66))\/((-3)\/9). Suppose 0 = -r - d + 5*d + 4, -2*d - 2 = -4*r. Let b = 42 - 43. What is the closest to r in -0.4, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14825 - 14825 - 38*g.\nAnswer: -38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**3 + 8*i**2 + 2*i + 3. Let l(y) = -y**3 + y + 2. Let a(w) = 3*l(w) - r(w). What is the tens digit of a(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/533 and -51\/40057.\nAnswer: 520741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 - 30*p + 214. Calculate m(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7504\/126 - (-4)\/72*8. Suppose 64*z - g = 58*z. Calculate the remainder when -1*((-28 - -1) + 0) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*a + 6 = 0, 2*w - 1127*a = -1169*a - 210 + 28 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 3*r**5\/5 - 12*r**3 + r**2 + 329*r - 591. Find the second derivative of g(f) wrt f.\nAnswer: 36*f**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2547.38061ns?\nAnswer: 0.000000000029483571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999180052?\nAnswer: 2, 13, 521, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/10 (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 40, 114, 238, 424?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 - 6.3. Let p = 7.97 + v. Let b = p + 0.03. Is b smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 46. Let m = p - -21. Does 13 divide m + -13 - 32*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234 and 117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2786 = -164*v - 65*v + 190*v - 160*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(-4 + sqrt(539)*4).\nAnswer: -28*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4*(-3)\/(3*(-32)\/72)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 1 (c) 422\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509*k - 64743 + 314153 = 0. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/4808 and -76\/1803.\nAnswer: 14424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - a + 2*a**3 - 2 - 2*a**4 - a**4 + 2*a to m + o*a**4 + h*a**2 + w*a + r*a**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 5*c + 9. Let s be f(-3). Solve 5*m = -h + 25, s*h = -m - 9 + 28 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41539, 166025, 373487, 663919, 1037315, 1493669, 2032975?\n\"Answer: -n**3 + 41494*n**2 + 11*n + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.596 times 0.3028?\nAnswer: -0.4832688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 46. Suppose -4*k + w = x*w + 38, 2*w = -4. Let b(i) = -27*i + 35. What is the tens digit of b(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -2*p**3\/3 + 2*p**2 - 10. Suppose 6 = -2*o - 5*q, -5*o + 2*q = -1 + 16. Let m(v) = -5*v**2 + 9*v. Give o*m(d) + 7*r(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -114*17\/(-102) + -21. Which is the nearest to v? (a) -0.3 (b) -42 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/150 and ((-24)\/60)\/((-1872)\/696).\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 57. Put 0.04, 0.1, 1\/7, r in decreasing order.\nAnswer: r, 1\/7, 0.1, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -6 - 15)\/(1\/(-2)). Suppose -4*o + b = -153, 0*o + o - b - v = 0. Let t = o - 12. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/2*(5 + -3). Suppose 0 = -3*v + r*v + 4. Let w = 0 + v. Are w and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m - 4. What is b(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*g = 328*g + 1566 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 1100 = 24*u, -u + 3*u + 3*b + 52 = -0*u + 3*u for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + o - 2*o)*(-51*o**2 + 17*o**2 + 96*o**2) in the form k*o + l*o**3 + q + v*o**2 and give l.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1159772 and 11741?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k**2 - 3*k + 5. Give v(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4793771751 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -2) + -13 + 14 + -2 - -12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*t - 4, -2*z + 3*t = -0*z - 7. Let o(v) = -4343*v**z + 8642*v**2 - 4341*v**2. Let p(f) = -3*f**2 + 4*f**2 - 3*f**2. Calculate p(o(x)).\nAnswer: -3528*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**8\/504 + y**7\/70 + y**6\/36 + y**5\/60 + y**2 - 67*y. Let p(f) be the first derivative of j(f). Let p(d) = 0. What is d?\nAnswer: -3, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -163, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - ((-33 - -1) + -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 7298050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-568)\/(-32) + ((-7)\/70)\/((-24)\/(-300)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -906\/385 - -76\/35. Which is the closest to 2\/9? (a) 0.5 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -5341?\nAnswer: -5337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1070*f*n + 1133*f wrt n?\nAnswer: -1070*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006689912 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyw when three letters picked without replacement from yuoywowww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i - 62000. Round i to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-7))\/(-2*1\/(-286)). Calculate the highest common factor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -15*t + 4. Let w(x) = -90*x + 23. Let d(l) = -34*o(l) + 6*w(l). List the prime factors of d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 - 56.11. Let l = -56.00162 - z. What is l rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -37, -2, 885 in increasing order.\nAnswer: -37, -2, 4, 885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 9 - 27 = 0. Solve y*r + x + 3 = -12, 0 = -x - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from jszbbsv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 3 = 2*r, 0 = -9*o + r + 29 + 25 - 56 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19907356 divided by 2843908.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 467659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11556617 <= -11556645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 24*y = -6*y. Let h be 0 + 0\/(2 - 1). Is y at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 610.50173 to the nearest ten.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.3. Let m = 37 - 41. Let p = m + -1. Which is the closest to s? (a) -2 (b) p (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -16. Suppose 0 = 5*a + 31*a. Solve a*l - 4*l + x = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/40 + (-24)\/(-9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = 11*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = -d, 17*b - 15*b + 4 = 0. Is d + 680*-34*5\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -349, -642, -1015, -1468?\nAnswer: -2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 73. Let q = -37.3 - u. Let o = q - 0.7. What is the closest to -1 in 0, o, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 169.76\nAnswer: -156.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 6*q**3 + 13)*(574 - 2650*q - 3184*q - 574 + 1574*q - 1896*q).\nAnswer: -36936*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.031 (b) -0.4 (c) -2\/11 (d) 0.112 (e) 10 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 3)\/(-2*(-1)\/(-10)). What is the third derivative of -151*h**2 - 17*h**5 + 74*h**2 + 6*h**p wrt h?\nAnswer: -660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, r: 3, f: 8}. Give prob of picking 2 r and 2 j.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**3*q**3*x + 53642*p**3*q**3 - p**3*q**2*x + 26*p**3*q*x - p**3*q - 43*q wrt q.\nAnswer: 12*p**3*x + 321852*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -123 - -93 - (-15750)\/490.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -193, 0, -9 in descending order.\nAnswer: 0, -2, -9, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 72076 and 1254.7?\nAnswer: 70821.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2889, 2899, 2923, 2967, 3037, 3139, 3279?\n\"Answer: k**3 + k**2 + 2887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46898364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(4)*6)\/(sqrt(4) + -2*-2*sqrt(4) - (-1*sqrt(576) - sqrt(4))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 130*k - 4157. Let m be a(73). Factor 4*l**2 + 11\/3*l**3 + 0 - 1\/3*l**m + 0*l.\nAnswer: -l**2*(l - 12)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3523.692um?\nAnswer: 0.003523692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15355*-0.4\nAnswer: 6142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*g**3 - 20*g**3 - 18*g + 5*g + 89*g**3 + 11*g to h + l*g + s*g**3 + c*g**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((-6)\/(-2) + 18). Let h(z) = z**3 + 26*z**2 + 49*z + 45. Let o be h(-24). Calculate the greatest common factor of v and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166 or -0.02226?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97459\/603104 - 64\/401. Let u = -13163\/1504 + a. Calculate the common denominator of -53\/196 and u.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 30*r = 380. Which is smaller: -15 or r?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8038*b**3 + 3*b**2 - 4. Let l be m(1). Calculate the highest common divisor of l and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220748604 to the power of 1\/3, to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**4 + 26172*x**3 + 11523*x.\nAnswer: -24*x**2 + 157032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 842790850.99999988 + -842790835. Let g = -16 + r. Round g to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1313 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {u: 1, j: 2, q: 2, i: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-280)\/130)\/(-14) + (-734013)\/(-39)?\nAnswer: 11, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20912 and -1.24.\nAnswer: -20913.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**9\/144 + l**6\/9 - l**3\/6 - 32*l. Let f(b) be the second derivative of m(b). Find the third derivative of f(i) wrt i.\nAnswer: -1260*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 15 = -3*d + 10*z, -5*z - 23 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19243*s**2 - 10*s + 967648 wrt s?\nAnswer: 38486*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -2, 2618, 35, 2.\nAnswer: -8, -3, -2, 2, 35, 2618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 + -9. What are the prime factors of b?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000001111000001 (base 2) to base 4\nAnswer: -100033001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - -3 - 8) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is da801 - -58?\nAnswer: da859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8348)\/336 - 1\/4. Let b = l - -77\/3. Do -1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -c25?\nAnswer: c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, -0.4, -0.27, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 9130550.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2146247 * 0.2\nAnswer: 429249.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2)*(-2)\/(-4). Suppose -17\/2*o**4 + t - 5\/2*o**5 - 11\/2*o**2 - o - 21\/2*o**3 = 0. Calculate o.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -97*o**2. Let j(t) = -34*t**2. Give j(h(q)).\nAnswer: -319906*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**3 + 359376*q**2 + 718736*q = 0. Calculate q.\nAnswer: -89842, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2926 + 3*s**4 - 2927 - 2*s**3 - 15*s + 0*s**3 to the form f*s**4 + t*s + b + q*s**3 + v*s**2 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(832))*-1 + 3 - (-6*(sqrt(832) + -2) + -1*sqrt(832) + -3))**2 + -5.\nAnswer: -960*sqrt(13) + 30047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 3*y**2 - 2*y**2 + 2*y**3.\nAnswer: -2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3\/10 (b) 1 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 2 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4946?\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = b - 626. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.3. Let k = h + 0.3. Let j = -1.5 + 1.3. What is the nearest to -0.4 in k, 1\/8, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -15*y**2. Let z(c) = 20. Let n(u) = -93*u + 40. Let r(d) = -n(d) + 2*z(d). Calculate p(r(v)).\nAnswer: -129735*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/805? (a) -4 (b) -0.3 (c) -2\/7 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-45))\/(17\/(-34))*9)\/(608\/285).\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2514 - 2513.9. What is the fourth smallest value in 2\/5, a, -28, -0.8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2590054*m**2 + 4446766*m wrt m?\nAnswer: -5180108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6930111 to the power of 1\/2, to the nearest integer?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3250, 3253, 3266, 3295, 3346, 3425, 3538, 3691?\n\"Answer: j**3 - j**2 - j + 3251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d48 - 13?\nAnswer: 5d35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 164 and -1.3.\nAnswer: 162.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214296316?\nAnswer: 2, 13, 653, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 157939051 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -88192402.\nAnswer: -529154412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 6*q**2 + 11*q - 2. Let v be g(-8). Let s be v\/10 - ((-2)\/5)\/2. Let m(f) = -f**3 + 5*f**2 - 3*f - 3. What is m(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 72.566.\nAnswer: 21.7698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5451134?\nAnswer: 2, 13, 209659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 0.0546?\nAnswer: 0.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3442387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30575.5 minus 4299?\nAnswer: -34874.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**4\/c*(c\/c**19)\/c*c assuming c is positive.\nAnswer: c**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6045.172 nanograms in micrograms?\nAnswer: 6.045172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*l**3*v**3 - 2*l**3*v**2 - 1090*l**2*v**3 + 5*l**2*v**2 - 47*l*v - 4*v wrt v?\nAnswer: -126*l**3 - 6540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8165446319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127502*x - 899 + 899.\nAnswer: 127502*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(2\/4 + 0). Let o(s) = 5*s**3 - 16*s**2 + 3*s - 6 + 12*s**x - 4*s**3 + 0*s. Calculate o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136\/21 + 24\/7*j + 2\/21*j**2.\nAnswer: 2*(j + 2)*(j + 34)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/((-16)\/(-48)*-4)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 207 - 209. What is the third biggest value in f, -3\/2, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(2\/31)\/((k*k\/((k\/(k*k*k**(-12)))\/k)*k)\/k**(1\/12)) assuming k is positive.\nAnswer: k**(2587\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29514, 58550, 87100, 115164, 142742, 169834, 196440?\n\"Answer: -243*n**2 + 29765*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r - 976 + 4639. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**4\/48 + 553*z**3\/12 - 305809*z**2\/8 - z + 1954. Factor c(y).\nAnswer: -(y - 553)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.4, 47.1, -0.3, 2 in ascending order.\nAnswer: -0.4, -0.3, 0.5, 2, 47.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:17 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 90 = -12*x. Let u(g) = -4*g**2 - 39*g - 19. Let z be u(x). Let t = 1028 + z. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 310776 and 159892?\nAnswer: 22065096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -71\/3*g**3 + 0*g**5 + 78 + 0*g + 0*g**2 + 3\/7*g**7 + 5\/4*g**4 + 0*g**6. What is the third derivative of q(i) wrt i?\nAnswer: 360*i**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**2 - 670*h - 22445 = 0?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - p + 0*p)*(-82*p - 87*p + 166*p + 790) in the form g*p**2 + m + u*p and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/9, 0.4, -2 in decreasing order.\nAnswer: 10\/9, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-18\/11)*x\/(x\/x**(9\/4))*(x*x\/x**(-1\/2))\/x*x assuming x is positive.\nAnswer: x**(281\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 26. Let c = -103 + 92. Let g be m(c). Suppose -g*i - 289 = -813. Calculate the remainder when i is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -2196 (c) -2 (d) -212 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40466, -40467, -40468?\nAnswer: -40469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-12))\/((j*j**(9\/5))\/j)*(j**(5\/6))**(-4\/15))**(1\/36) assuming j is positive.\nAnswer: j**(-293\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4762 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73\/5 - 14. Put f, -58, 0.3 in increasing order.\nAnswer: -58, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1204 is divided by 52?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298 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: What is the units digit of 22961642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/5? (a) -2 (b) 0 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -134*a + 471 + 169 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130103113 + 10?\nAnswer: -130103103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15543412 - -3?\nAnswer: 15543415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2\/7 + 5317784*k = 0. What is k?\nAnswer: -9306122, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 12*z**2 - 15*z + 2. What is the remainder when q(-13) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z - 742 + 2227 - 741 - 743.\nAnswer: 31*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 1. Let k(x) be the first derivative of x**2\/2 + 8099. Let f = 3 + -2. What is f*r(j) - 2*k(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 316.401 - 318. Let s = 48 - 49.5. Let a = s - m. What is a rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075328.\nAnswer: 2, 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 863211720 a multiple of 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120443\/2665 + 226\/5. Let s = 11735\/1599 - a. Calculate the common denominator of 41\/28 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 875701, 875694, 875687?\nAnswer: 875680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1371 + -4?\nAnswer: -3.8629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(114))\/sqrt(2))\/(sqrt(363) + sqrt(363)*3))**2 + 1.\nAnswer: 1955\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/78 and -52\/11.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*u - 4, -5*u = 5*l + 5 - 15. Does 6 divide 3\/(-18) + l - (-5075)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 71 = -5*m + a, -4*m - 3*a + 137 = 0. Solve -k - 2*q = 5, -8*q + 3*q = -2*k + m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1880910 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 8 = 3*a. Suppose -4*f + 2 = 2*w, 38*f - 37*f - 4 = 3*w. Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/4052419?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 136. Suppose -6*y + 258 = -g. Calculate the remainder when y is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 5 = -10*u. Let v be 2 - 72\/39 - 8\/52. Suppose q + 4*q - 100 = 0. Solve v = u*a - a + q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzzzzhztuuu. Give prob of picking 1 t and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (0 + -63 + 40).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**4*c*c)\/(c**(-2\/27)\/c))**19\/(c\/c**(-1\/4)*c*c*c*c**(-3\/4)*(c*c\/(c**2\/c)*c)**(-22)) assuming c is positive.\nAnswer: c**(11497\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z - z - z**2 + 0*z**2 + z. Let v be a(4). Solve 0 = -3*s + 5*n - 24, -3*s - n = -v*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011 (base 2) to base 6.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2218967 - 777468. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 7. Suppose -v + h = -4. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**3 + 59562*w**2 - 14555215 wrt w?\nAnswer: 6*w**2 + 119124*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 468.36 to the nearest 10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h + 6. Let v be s(5). Let o be 1\/(v\/((-8)\/5)). Determine p so that -8\/5*p - o*p**2 - 8\/5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 58, 0.1, 35417?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**2. Let l be m(2). Let v = -17 - l. Suppose v = 7*o - 6*o. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78594898 and 8108.\nAnswer: 157189796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/7, -31, 5, 0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -5 (c) 158973 (d) 0.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v. Let p = -160 + 162. Let w(t) be the third derivative of p*t**2 + 0*t**4 - 1\/15*t**5 + 0 + 0*t**3 + 0*t. What is w(m(r))?\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3457.536 hours in seconds?\nAnswer: 12447129.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 730.38 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from myycammdmm.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86777?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1035552365 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415445739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -26. Suppose 0 = u*a + 2*a - 48. Suppose 0 = -2*z - 2*n - 0*n + a, 5*n - 18 = -3*z. Solve m + z + 0 = 2*b, -5*b = 3*m + 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)*1)\/sqrt(3) + sqrt(14) - (sqrt(14) + 1*sqrt(14))*4)\/((sqrt(70) + 2*sqrt(70))\/sqrt(10) - sqrt(56)\/sqrt(2)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g**2 + 147*g + 145. Calculate p(23).\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loolooolklollooooolk. What is prob of picking 2 k, 1 o, and 1 l?\nAnswer: 77\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + 5*m)*(5 - 10 - 2)*(-4 + 3 + 3)*(-4 + 3 - 2).\nAnswer: 84*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -26 (b) 0.034 (c) 23 (d) -3 (e) 2 (f) -1\/4 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-9*3\/(-38250)). Round f to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/5 - (7 - (-68)\/(-10)). Let c be -6 - (-3 - (v + 11)). Solve 5*y + 0*y = -c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, 759\/5, 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/333 (b) -3 (c) 0.1 (d) -6 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -19. Suppose 16 = -5*a + 31. Let j(p) = -2 - 6*p**3 + 15*p**a - 4*p**3 + p - 6*p**2 - 6*p**3. What is j(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 4. Let o be (20\/15)\/(4\/9). Put o, 0.5, p, -1\/2 in decreasing order.\nAnswer: o, 0.5, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 425\/1949299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -3)*2\/540*9. Factor -2\/15*u**2 - a*u**3 + 8\/15 + 8\/15*u.\nAnswer: -2*(u - 2)*(u + 1)*(u + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2 + 4) + -4. Let l(u) = -u**2 - 3*u + 49. What is the remainder when l(n) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 153.7907679 and 6781.\nAnswer: 6934.7907679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2. Let g(w) = -23*w - 2. Determine g(i(s)).\nAnswer: 46*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 24, 0, -9, 4 in descending order.\nAnswer: 24, 4, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 + 5*l**3 - l**4)*(-1 - 2 - 1)*(0 + 7 + 0).\nAnswer: 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 11 = 33. Let b be (t - 1)\/(3 - 2). Suppose -2*m = -2*q + 46, m = -2*q + q + b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/21 + 15\/14. Let r = 34919 - 34919.5. Sort 9.3, r, j in increasing order.\nAnswer: r, j, 9.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 6*w + 1. Suppose 0 = 2*p + 7*p - 297. Let o(n) = 15*n**2 - 54*n**2 - 2 + p*n**2 - 17*n. Determine -6*o(g) - 17*t(g).\nAnswer: 2*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7444490.\nAnswer: 2, 5, 241, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6*(-6)\/39)\/(89\/(-534))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1313\/404)\/(338\/7280)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1034.7 and -2?\nAnswer: 1032.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 10*s + 4. Let h be u(-5). Let x be (2*2)\/((-20)\/(-30)). Solve 0*o + o = k, -2*k = -h*o + x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.01 (b) -0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 116.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z. Let c(j) = 46*j + 5. Give -c(o) - 5*h(o).\nAnswer: -21*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 33 - 3 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**7\/7 - 5*c**3\/3 + 4. What is the third derivative of q(x) wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 7*r - 7. Let g(c) = -2*c + 2. Let l be g(r). Suppose -3*w - 25 = 2*w, 4*o - 3*w - 3 = 0. Sort o, 1, l.\nAnswer: o, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/3 (b) 0.1 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6574055 nanometers to kilometers.\nAnswer: 0.0000000000006574055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193160333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209029059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d - d + 11*d - d + 2 - 3*d**2 + 2*d**3. Let y(p) = 2*p - 8. Let k be y(5). Give q(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6 - 1 - 4 + 4*k + 1. Give n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 13174854\nAnswer: -65874270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = q - y, 62 = 4*q - 261*y + 259*y for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 27*a**5 + 135*a**4 - 660*a**3 - 60*a**2 + 288*a = 0.\nAnswer: -8, -2\/3, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-18)\/((-288)\/(-26))?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 357202.4 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 33*y + 20. Let c be u(-16). Suppose -c*g = -3*s - 51, -18 + 5 = -g + s. Let w = 24 - g. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9*m**2 - 909*m - 5. Let o be k(101). Let l = 80 - 79.93. What is the nearest to -0.1 in -0.4, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 12*z - 15*z + 26, 23 = 3*o - 2*z. Suppose 0 = -9*l + o*l - 2236. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 357724757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39549 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x. Let r be f(1). Suppose r*p = -0 + 4. Put -9, p, -2 in decreasing order.\nAnswer: p, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)\/u)\/u)**(7\/8)*u**(-3)*u\/(u\/(u\/(u*u**6*u))))\/((u\/u**(2\/5))\/u**(-5\/4)*(u**(-1))**5) assuming u is positive.\nAnswer: u**(-379\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(1 + 10\/(-12))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - ((-2)\/(-1) + -3). Let d = -17 + 21. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.183311 millennia to years.\nAnswer: 9183.311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 842442715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -20bda9?\nAnswer: 20bda7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d + 75. Let y be (d\/6)\/(1\/(-2)). Suppose 3*v + 45 = 3*s, y*s - s - 64 = 3*v. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -779*r + 3*r**2 - 865*r + 1644*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = 3*w, 0 = 3*w + 2*h - 7. Suppose -w*x = -5*j - 5, 5*x = 6*j - 3*j - 7. Let v = 11 + j. Solve -v*a + 3 = m, 5*m + a = 12 + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 - -126. Suppose 1 = p*t - 4*t + g, 4*g - 8 = 3*t. Solve 27*m + 65*m + 676 + 12*m + t*m**2 = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-30))\/(6*(-5)\/(-180)). Sort 12, w, 0.5.\nAnswer: w, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 22 - 12)*(-3*x - 20*x - 15*x).\nAnswer: -722*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1\/3, -2\/23 in descending order.\nAnswer: 1\/2, -2\/23, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - k**3 - 4*k**3)*(-3*k + k - k + (-1 - 2 + 1)*(-3 + 3 + 2*k) - 2*k + 0*k + k + k + 2*k - 5*k - k - 3*k + 5*k).\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 132 = -28. Let g = z + 166. Solve 0 = -7*h + g*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -485800 divided by -347\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 19*m - 19)*(-3*m**2 + 4*m**2 - 2*m**2) + m**3 + m**3 + 0*m**3 - 6*m**3 + 11*m**3 + 2*m - m**3.\nAnswer: -13*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3054093951.\nAnswer: 3, 1018031317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 + 7 = 0. Let j be (3 + (-40)\/m)*-3. Let p be (-2)\/((-4)\/14) - (-308)\/(-42). Is p at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -10*a**2 - 12*a - 13. Let v be x(-6). Let n = -280 - v. Calculate the highest common divisor of n and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 710*s**3 + 38 - 911*s**3.\nAnswer: -201*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31833 < 31833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bck when three letters picked without replacement from ktbnkcf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -419476 - -611803. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380*g + 2117 = -2191 - 5352 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*t + 682 - 682 - 2*t**2 to q*t**2 + y*t + b and give y.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*(13\/4 + 1). Suppose a = 4*m - m. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -9.84. Let r = -8.5 - -35.5. Let m = 23 - r. Which is the nearest to 1? (a) -2\/9 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2016 by -672.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -228, -725, -1692, -3285, -5660?\nAnswer: -8973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172584 is divided by 57520?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-1005)\/(-134))*-18*60\/171.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -2434?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405210 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 39337 = 4*l, -4*v = 5*l - 0*l - 49145. List the prime factors of l.\nAnswer: 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90 - 77 + 3*q**3 - 15 - 3*q**4 - 2*q**2 in the form i*q + y + b*q**2 + x*q**4 + n*q**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c + 81 - 52 = -81. Put -3, 3014, c in decreasing order.\nAnswer: 3014, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 218197, 217947, 217523, 216919, 216129, 215147, 213967, 212583?\n\"Answer: -r**3 - 81*r**2 + 218279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) - sqrt(128)*1)*-5)\/(((1*sqrt(180) + sqrt(180))\/sqrt(9))\/sqrt(5)))**2 + 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -25. Let u(d) be the third derivative of 0*d + 0*d**3 - 1\/80*d**5 - d**2 + 0 + 1\/16*d**y. Factor u(j).\nAnswer: -3*j*(j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 12:03 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + -2.6. Let l = r - -0.8. Let o be (-2)\/4*(-2)\/(-3). Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13757393*d**3*t - 2*d**2*t - 2*d**2 + 262*d*t + 2*t - 398 wrt d?\nAnswer: -82544358*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 178626174 and 7004948.\nAnswer: 357252348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -53*m + 58*m + 1497, -2*m = 4*v - 2022. What is the lowest common multiple of v and 252?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -28 (b) 2 (c) 6 (d) -0.3 (e) 5\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/5 bigger than -746.693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*z + 124 - 328. Let a(d) be the third derivative of -1\/14*d**7 + 0*d - 5*d**2 + 0 + 0*d**5 + 1\/3*d**3 + 0*d**z + 0*d**4. Differentiate a(n) wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*v - 10 = 0, -5*v + 14 = -2*q - 2*v. Suppose 3*w + 0*w = 30. Is -1 - q\/2*w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*346.\nAnswer: 34.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8*x + 2. Let d = -9 + 1. Let k be q(d). Let -2*p**4 - 2*p**k + 15*p**3 - 4*p**2 - 7*p**4 = 0. What is p?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 5*b. Let s(u) = 101 + 2*u - u - 95. Let h be s(-4). Let c(k) = k**2 + 2*k. What is h*v(i) + 5*c(i)?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 78*b**2 - 5*b - 400. Determine t(-78).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -5, -13, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/61 - -191\/122. Let b(g) be the second derivative of -x*g**2 + 1\/6*g**3 + 0 + 3*g. What is the first derivative of b(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2016)\/16 - (-4680)\/90?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, -2, 3\/5, 0.2, 41 in decreasing order.\nAnswer: 41, 1, 3\/5, 0.2, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 174\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 2 + 5*b + 3 + 3 - 2. Calculate the remainder when 7 is divided by m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 - 412 - 90 - 2)*(1 - 1 - p + (-2 - 1 + 1)*(3*p - 3*p - 2*p) + 1 - 1 + p + p - p - 2*p + 1 - 1 - 3*p) as z*p + i and give z.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221331012 - 10101?\nAnswer: 221320311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95500134?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 11*o**2 - 13*o - 13. Let p be d(-12). Let q(y) = y**2. Let m be q(p). Let n(l) = -6*l**3 + 2*l**2 - l. Calculate n(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595626288 to the power of 1\/2, to the nearest integer?\nAnswer: 24405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000091191621 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 17*h + 56 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -270*g**2 - 99*g + 89*g**2 + 93*g**2 - 1 + 89*g**2 in the form x*g**2 + s + c*g and give c.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(360)*2)\/(-2*sqrt(800) - ((sqrt(288) - (sqrt(288) + (sqrt(288)*2 - sqrt(288)))) + sqrt(288))) + -3)**2.\nAnswer: -36*sqrt(5)\/5 + 81\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-503*v - 685*v**3 + 111 + 249*v + 254*v - 221)*(-1 - 2*v + 1) in the form h + o*v**3 + g*v + f*v**4 + p*v**2 and give f.\nAnswer: 1370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 6 - 0\/(-2). Find the third derivative of 7*h**j + 4*h**2 + 81*h**3 - 69*h**3 wrt h.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-90 + 48)) + -21?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 35 = -5*h, -5*h - 2*g = g + 25. Let y = h + 6. Solve 0 + y = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123452675 to the nearest 1000000.\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 7\/1992?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/23 (b) 3 (c) 1 (d) 2\/15 (e) -5 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*n**3*s**4 + 4*n**3*s - 30*n**2*s - s**5 - 8*s**3 - 3*s wrt s.\nAnswer: 384*n**3*s**2 - 20*s**3 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 + 60*a**2 + 35*a + 12. Let m(h) = -2*h**3 - 68*h**2 - 36*h - 14. Calculate -7*g(i) - 6*m(i).\nAnswer: -2*i**3 - 12*i**2 - 29*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 189 = 5*u + 55, -3*r = -4*u - 186. Let z be 4\/3 + (-32)\/u. Let m(t) = t**2 + t + 1. Calculate m(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 9. Let p(s) = -3*s + 10. Suppose -21*u - 1046 = -941. Give u*p(n) - 6*i(n).\nAnswer: -3*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 255*v - 255*v. Let x(w) = -3*w**2. Calculate x(n(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 k when three letters picked without replacement from {y: 1, w: 1, f: 2, m: 2, k: 3, e: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**3*h**2 - 3*g**2*h**2 + g**2 + 4*g*h - 69*h**2 wrt g.\nAnswer: 30*g*h**2 - 6*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 2*z + 1. Let a be l(3). Let d(x) be the second derivative of -a*x - 5\/21*x**3 + 1\/42*x**4 + 0 + 1\/70*x**5 + 3\/7*x**2. Factor d(k).\nAnswer: 2*(k - 1)**2*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-20 - -34) - (-1 + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 129 = -14*y, 0 = -5*v - 0*y - 2*y + 23 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300289 + 300282 + 321*s**2 - 600571.\nAnswer: 321*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - g - 1. Let b be c(-1). Suppose -2*y = -b*n - 0*n - 18, -5*y + 4*n = -49. Let i = 18 - y. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*x**3 - 60*x**3 - 114*x**3.\nAnswer: -327*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y + 80*y + 2*x + 108 = 0, -3*y + 3*x - 369 = 0. Which is the closest to -0.1? (a) 5 (b) 1\/2 (c) -2\/15 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -31, 1, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*c = 4*o + 340, 0 = 4*c. Round o to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 15 - 7 - 2 + 2 - 864*k to the form d*k + y and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5103983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11475451 to the power of 1\/2, to the nearest integer?\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 + 10971868*x + 105334151483246.\nAnswer: 2*(x + 19200769)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3113.\nAnswer: 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 1. Let v(s) = s**3 - 6*s**2 - 317*s - 25. Let q be v(-15). Let x(n) = -3*n**2 + 5*n - 9. What is q*a(m) + x(m)?\nAnswer: -3*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 - 5*s + 23. Give j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 0.5. Let b = 67070\/3961 + -288\/17. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0 + 0)*(-3 - 4 + 3)*(h - 3*h + 0*h) - 4 - h**2 + 4.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.031 + 0.431. Let i(y) = y - 20. Let z be (44\/(-6))\/(8\/(-12)). Let d be i(z). Which is the third smallest value? (a) p (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70 + 9?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000567353138 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12*o**2. Suppose -155*b + 120*b + 105 = 0. Let m(i) be the second derivative of 5*i + 0 - 1\/6*i**b + 0*i**2. Give m(n(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 9735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01776831 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.086, 54\/1267, 2?\nAnswer: 54\/1267","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2. Let j(t) = 3*t + 18. Let i(f) = f**3 + 2*f**2 + 2*f + 2. Let n be i(-1). Let r(c) = n*j(c) + 2*l(c). Differentiate r(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -132, -263, -394, -525, -656?\n\"Answer: -131*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*x + 2*y, x = -3*x + y + 25. What is the remainder when (-2)\/3*(1 - 19) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5\/9 - 1060*a**4\/9 - 142630*a**3\/9 - 829460*a**2\/9 - 167312*a - 90880 = 0.\nAnswer: -284, -240, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q - 6, -164 = -3*x - q. Suppose 3*f + 3*f = x. Factor 3*t**2 + 4*t**2 - f*t - t**2 - 2*t**3 + t**3.\nAnswer: -t*(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5181 and 13607033.\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-14)*p\/(p*p**(1\/16))*p\/((p*p**(-6\/19)*p)\/p)*(p\/(p**(-5)\/p))\/p assuming p is positive.\nAnswer: p**(-2355\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 - 3494*p\/9 + 3488\/3.\nAnswer: 2*(p - 1744)*(p - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 3:27 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, y: 5, s: 2}. Give prob of sequence ysys.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7767354797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23986 - -23991. Solve 8*k = -m*i - 44, -4*i - k + 7 - 26 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 244 in -0.2, -2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 125*u**4\/24 - 45*u**2 - 2. Let j(o) = -2*o**2. Give j(n(f)).\nAnswer: -31250*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 7*k**2 - 15*k**2 + 2*k**2)*(-k**2 + k**2 + 2*k**2).\nAnswer: -12*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-70)\/((-8)\/(4 - 0)). Let x = 65 - q. Suppose 2*p + p = -5*w + 35, w = 4*p + x. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*f**3 + 468\/7 - 642\/7*f + 232\/7*f**2.\nAnswer: -2*(f - 26)*(2*f - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/16 and -95\/804936.\nAnswer: 1609872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 6743?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 + 34*c\/13.\nAnswer: -2*c*(c - 17)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 840 and 145500831?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3544.96 nanoseconds to microseconds.\nAnswer: 3.54496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 52. Let r = -1065 - -1065. Solve u*d + 5*d = r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -62240.7 and -5996?\nAnswer: 56244.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288474, 288445, 288416?\nAnswer: 288387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 10:58 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**2. Let z(v) = 16*v**2 - 1. Suppose -2*f - 3*m + 23 = 2*f, 2*m = 10. Let c(g) = f*z(g) + 7*h(g). Let o(a) = a**2 + 1. Calculate 3*c(p) + 6*o(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0150450088 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 16. Let m = t - -2. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3974 - 63545\/16. Find the common denominator of (1 + 1)\/((-32)\/158) and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 6*t - 2*t)*(2 - 2*t - 3*t + 3*t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by -1?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (10 - 1))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10868\/14 - (10\/35)\/1. Suppose 0 = -11*y + c + 1897. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1251?\nAnswer: -6255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -480*v**2 + 55*v**2 - 106*v**2 + (-4*v + 3*v + 2*v)*(0*v - 2*v + v) as w*v**2 + i*v + t and give w.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1319238235*u**3 - 587853318*u wrt u?\nAnswer: -7915429410*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*1*-4 + -2*(sqrt(605) + 3))**2.\nAnswer: 792*sqrt(5) + 21816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5421.404 hours in nanoseconds?\nAnswer: 19517054400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 8*d**2 - 4. Let m(h) = -1. Let q(t) = k(t) - 5*m(t). Let g be q(8). Is g less than -1\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/7 + 965*o\/7 - 11436\/7.\nAnswer: -(o - 953)*(o - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 756041 - 455418. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + 0*a + 0*a - 2*a**2. Let f = -45 - -45. Let u(c) = -1 - 4*c - 3*c + 3*c + f*c + 2*c**2. Calculate -3*h(p) - 2*u(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 836 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 1, h: 4, o: 5, u: 1}. What is prob of sequence uhy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2883162, 2883161, 2883160, 2883159?\n\"Answer: -w + 2883163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000584446 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/4 and -103\/208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.03611176 - -0.0099\nAnswer: -0.02621176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m + 4*m - 2 - m. Let y be s(-4). Suppose -3*j + u = -7, 2*u - 14 = -y*j - 2*u. Solve -3*b + 0 = -j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46008 + 72767. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 36*g**2 + 106*g - 653. Calculate m(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*r**3*x**3 - 166*r**3*x**2 + 11*r**3*x + 16*r**2*x**3 + 17*r**2*x**2 + 11*r*x**3 + 3*x**3 wrt x.\nAnswer: 426*r**3 + 96*r**2 + 66*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 r when three letters picked without replacement from rerrrrrrrrrer?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 57160086?\nAnswer: 57160081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 140, 17, -5, 1.\nAnswer: -5, 0, 1, 17, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -269 + 294. Suppose 3*n - 3*m = 0, 6*n - n - 2*m - 6 = 0. Solve -7*x + h = -n*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -254 - -302. Let o = k - 33. What is the highest common divisor of 12 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-5 - 2)) + (-44 - -40)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -3744, -9747, -18138, -28917, -42084, -57639?\nAnswer: -75582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 2*z**2 - 3851*z + 3851*z)*((-4 + 0 + 5)*(-3 + 3 + z) - 2*z + 4*z - 4*z + 327*z + 161*z - 27*z).\nAnswer: 920*z**3 - 6900*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-8 - (3 - (-6 - -11))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1990*q**5 - 2018*q**4 + 2309*q**2 + q + 23?\nAnswer: -119400*q**2 - 48432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -445 times -15.1?\nAnswer: 6719.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31 (b) -18 (c) 0.2 (d) 0 (e) 2 (f) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83896 and 4.\nAnswer: 83896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from lppipgccilii.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -16*m**5\/15 + 26*m**4\/15 + 2*m**3\/5 - 26*m**2\/15 + 2*m\/3 = 0?\nAnswer: -1, 0, 5\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -78*z**4\/5 - 373096*z**3\/5 + 1492696*z**2\/15 - 99520*z\/3 = 0.\nAnswer: -62200\/13, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1784\/40 + 4\/10. Let z be 227\/(-119) - (m\/(-21) + 2). Is z equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8899104953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + l**2 - l + 1. Let q(r) = -7*r**3 - 3*r**2 + 2*r - 6. Calculate -3*n(p) - q(p).\nAnswer: 4*p**3 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-3 - (-7 + 3)). Let l = 23 + p. Solve -5*c - 3*f = -9, 5*c - 4*f + f = -l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**3 + 36*h**2 - 1861*h - 423. Calculate g(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 132 in descending order.\nAnswer: 132, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 348 - -13464?\nAnswer: 13823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g - 6*g + 3*g)*(0 + 4 - 7)*(4 - 7 + 1) + (-3 - 2 + 4)*(4*g - 4*g + 3*g) to the form h + y*g and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 - 20*k + 8. Let n be f(-8). List the prime factors of (-392)\/n + 1\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34876*l**2*u**5 - 3*l**2*u + 21*l**2 - l*u - 2*l - u**4 - 16*u wrt u?\nAnswer: 697520*l**2*u**3 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*g = 10, -10*g = 3*t - 5*g - 20. Solve z + 0 - t = -2*b, z - 25 = -4*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c**3 - 48 - 8*c + 48.\nAnswer: -28*c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 + 6 = -h, -4*z - 64 = 4*h. Let f = 0 + h. Calculate the remainder when (-1360)\/(-52) - (-2)\/f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c - 17?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 594822153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**2 - 3*m - 13. Let x be i(-6). Let u = x - 12. Suppose 7*b - 2*b - 153 = -3*v, 5*v + 5*b = u. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 7*u**5 + 126*u**2 - 126*u**2 + (5*u**2 + u**2 - 4*u**2)*(u**3 - 2*u**3 + 0*u**3).\nAnswer: 5*u**5 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 34 - 60. Let d(n) = -n. Let j(c) = 21*c**2 + 3*c + 3. Let b(q) = 18*d(q) + j(q). Let f(l) = l**2 - l. Let s(k) = b(k) - 18*f(k). Determine s(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*j + 3*n - 7*n, n = 2*j + 4. Suppose j = 10*m - 52 - 28. Solve 0 = -2*d + 5*b + 10, 2*d - b + 5*b + m = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119529?\nAnswer: 3, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.2702 - 247.3962. Let x = k - -0.126. Let w = 223.9999777 + x. Round w to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -60. Let c be (2\/6 - 1)*-3. Let w(o) = 2*o**2 - o**c - 4*o + 1 + 0*o. What is w(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 601*g + 616. Let b be j(-1). Solve -16*z - b*z + 124 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 31*m - 16. Let t = 50 + -448\/9. Factor t*u - 4\/9 + 2\/9*u**m.\nAnswer: 2*(u - 1)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18596, 4, 4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1331) + 3*sqrt(1331)*1 + (sqrt(1331) - (-2*sqrt(1331)*2 - sqrt(1331) - sqrt(1331))) + 1 + 1)**2*2.\nAnswer: 2420*sqrt(11) + 322152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 173\/1046?\nAnswer: 173\/1046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 5 (b) 13 (c) 2\/5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmymymmyyyymmyyymmy. What is prob of sequence mmy?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*3\/(-6)*(3248\/(-924))\/29?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0409266 to 3 decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1812157 or -1812156?\nAnswer: -1812156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(1458) - sqrt(18)))\/(sqrt(900) + sqrt(36) - 2*sqrt(1089)).\nAnswer: -19*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*g*o*v**3 + g*o*v - 22*g - 966*o*v**3 + v**3 - v**2 with respect to g.\nAnswer: -14*o*v**3 + o*v - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = 5*f + 5*j, 0 = 3*f + 2*j - 14. Put -2, 6, f, 1 in decreasing order.\nAnswer: 6, f, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 84*i**3\/11 - 1754*i**2\/11 - 4050*i\/11 - 92 = 0. Calculate i.\nAnswer: -11\/6, -2\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -1)**2 + -5 + (sqrt(231)\/(sqrt(44) - sqrt(11)))\/sqrt(7).\nAnswer: -19*sqrt(3) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 2*n + 2*n)*(-1 - 4 + 3 - 2*n) + 6 + 68*n**2 - 4 - 67*n**2 to b*n + f + m*n**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -z - 4*z + 3*b, 4*z - 12 = 3*b. Let t = -3 + 1. Is z greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 14*n**2 + 17*n + 4. What is t(-15)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 5*p + 22. Let d be k(9). Let s = 107 + d. What is the highest common factor of 15 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -28.4. Let u = 3.6019 - b. What is u rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 5:11 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6578*x**2 - 3306?\nAnswer: 13156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 2*t - 2*t - 3*t + 0*t**2 as k + b*t + u*t**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247 and 46040325?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*a - 44*a - 14*a**3 + (0 + 4 - 2)*(-a**3 + a**3 - 2*a**3) + 35 - 35 + 32*a**3.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46358235?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.51582s in milliseconds?\nAnswer: 31515.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1 + 0 - 1 - 1 + 1 + 1 - 1 + (1 + 0 - 3)*(-1 + 3 - 4))*(8*a**3 + 2*a**3 + a**3).\nAnswer: 44*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.492086408 to three dps.\nAnswer: 5.492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(117)*-5)\/sqrt(9))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**4\/8 - 25*s**3\/6 + 2*s**2 + 11*s. Let n be t(9). Solve -n*p = -2*y, -5*y + 20 = -0*p - p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = 63*v + 33*v - 1785 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2400*r**4 + 2403*r**4 - 15*r + 12*r**3 - r**3 to the form s*r**2 + g*r**4 + t*r**3 + j*r + q and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/9)*c**(-1\/3)\/c*c)\/((c\/((c**(-2\/27)\/c)\/c*c*c))\/(c\/(c*(c\/(c**(2\/5)*c*c))\/c))) assuming c is positive.\nAnswer: c**(239\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1050 and 210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tppjcjmvv. What is prob of sequence jjm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqx when three letters picked without replacement from {h: 2, q: 6, x: 9, v: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72432?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let m(r) = 4*r**f + r + r**2 - 4*r**2 - 4*r. Determine m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + y**2 + 1 + 2*y + 9*y**3 - 8*y**3. Let v be o(-1). Suppose -6*j = -j + 3*t - v, 5*j + 5 = -5*t. What is the remainder when 3 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, -14, -31, -78, -155, -262?\n\"Answer: -15*l**2 + 58*l - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 66 * -23\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -505010?\nAnswer: -505015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 - 7524*g + 7524*g.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 15 = 22*c + 2*y, y = 4*c - 15. Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 6. Let b be o(6). Let z = b + 2. Is 21 a factor of (5 + 109)\/(3\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -36*i**3 + 3*i**2 + 2*i - 3. Let f(o) = 35*o**3 - 4*o**2 - 3*o + 4. Determine -3*f(s) - 4*z(s).\nAnswer: 39*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - d - 1066, d - 4567 = -5*k + 787. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose 6*u = -t*q + u + 25, -5*q = 5*u - 25. Sort q, 1, -4 in decreasing order.\nAnswer: 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0918 * 0.5\nAnswer: -0.0459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30330802 rounded to the nearest 10000?\nAnswer: 30330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.9 - -0.1. Let h = z - 7. Sort h, 0.4, 5 in increasing order.\nAnswer: h, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -c - 3*l - l, -4*l = -5*c + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -57. Let y(t) be the second derivative of -m*t + 2\/3*t**3 + 0*t**2 + 0. Let l(n) = -4*n**2. What is y(l(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123334 - 5?\nAnswer: -123343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5857136 minutes to nanoseconds.\nAnswer: 35142816000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 62*n + 338. Let b be x(56). Factor 2\/3*d + 0 - 1\/3*d**b - 2\/3*d**3 + 1\/3*d**4.\nAnswer: d*(d - 2)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 936.07, -2\/13, -8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 807970 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -5, 228 in ascending order.\nAnswer: -5, 48, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 60005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, -29 in increasing order.\nAnswer: -29, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 23 = 5*k - 5*r, -k = -3*r + 15 - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**8\/6720 - c**6\/360 + 34*c**3\/3 + 26*c**2. Let f(z) be the first derivative of s(z). Factor f(p).\nAnswer: p**2*(p - 2)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by -24?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 + 100?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3987756, 7975518, 11963282, 15951048, 19938816, 23926586, 27914358?\nAnswer: 31902132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -397\/4 - -5167\/52. Let c = r - -5\/182. Determine t so that -c*t**2 + 0 + 1\/7*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1829 + 1836. Suppose -330 = -m - b, 3*m = -m + b + 1335. Suppose -2*k + j*k = z + m, 5*k - 5*z - 325 = 0. Is k 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 146072485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136 - -151. Suppose 4*i = -2*t + 2*i + 40, -i = -t + 24. Let x = t - w. What is the remainder when 20 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10660 (base 11) in base 6?\nAnswer: 155241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70011 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 3. Suppose -2*h - 6 = 4*i - 20, 4 = m*h - 4*i. Suppose -h*c = -7 + 16. Put c, 2, -2 in increasing order.\nAnswer: c, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.107 - 0.207. Suppose 3*k = -2 + 8. Which is the closest to 1\/2? (a) k (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttcqcccctc. Give prob of picking 2 t.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.44827 * 0.2.\nAnswer: 0.089654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-32)\/(b*b\/b**10*b))\/(b\/b**24)**(4\/7))**(-5\/6) assuming b is positive.\nAnswer: b**(415\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(363) + -2)*-2)**2 + 4)*4 + -1.\nAnswer: 704*sqrt(3) + 5887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**(1\/8))*b**(-9) assuming b is positive.\nAnswer: b**(-71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 12 = 3. Suppose -3*i + c = -2*i. Suppose 0 = 2*l + i*l - 155. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*p - 2 - 86, 0 = -2*k - 6. Let n(u) = -u**2 + 16*u + 48. Calculate n(p).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 288167590 - 0.05765\nAnswer: 288167589.94235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzpke. What is prob of picking 2 p and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o. Let c(r) be the first derivative of 2*r**2 + 14. Calculate u(c(a)).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5572*m**2*v**4 - 235*m**2*v**2 - 3*m*v**5 - 20*v**2 wrt v.\nAnswer: 133728*m**2*v - 180*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - s = 2, -4*c = -s + 3*s - 8. Let l = 26 + -15. Suppose 0 = -k + 2*k + o - l, 2*k + c = 4*o. Calculate the remainder when 22 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 4*x**2 + x - 3. Let i be o(-3). Let y = i + -55. Calculate the least common multiple of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3422, -1, 6.3 in decreasing order.\nAnswer: 3422, 6.3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 - ((-86)\/7 + 8)) + 797\/(-364) and 23\/6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 4. Let r(n) = n**2 - 46*n + 82. Calculate the remainder when r(0) is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01533 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -113372*y + 340122. Determine r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2904 - -5462. What is the tens digit of (-1 - l\/(-3)) + 3\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/(x**(-6)\/x*x*x))\/(x*x**(-4\/11))**4 assuming x is positive.\nAnswer: x**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12648.549 - 24581.57. Let z = u - -11955. Let b = z + -22. Round b to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, q: 3, c: 3, r: 3}. Give prob of picking 2 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -174 + 158. Solve -2*z + p = 4*q - 0*q, -2*q + 16 = -3*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 15908*p + 126532232.\nAnswer: (p - 15908)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 - 60) + 0 + 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = 16. Let n = x - -64. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13990*t = 13714*t - 4416 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*s - 312 = 0. Let v = -12 + s. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 + 21048.\nAnswer: 21093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 2\/19, -2, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 96059276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**2 + 2*s + 20 - 20.\nAnswer: -21*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4992862 divided by 42.\nAnswer: -356633\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3991 + -3884. Calculate the remainder when 275 is divided by y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/((sqrt(77)*-1 + sqrt(77) - sqrt(77))\/sqrt(7)) - (sqrt(76) + (sqrt(76) - (sqrt(76) + sqrt(76)*-2*6)))\/sqrt(4))*4.\nAnswer: -56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 101, 104, 107, 110, 113?\n\"Answer: 3*d + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170 + -109 + (-660)\/15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156176.\nAnswer: 2, 3, 7, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 35*u + 109. Give w(-9).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 536885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 437.895799 to the nearest integer.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11279\/(-9) - 4\/(-18). Let b = -7595\/6 - k. Find the common denominator of (270\/16)\/((1827\/(-14))\/87) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by -36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -5, -48 in descending order.\nAnswer: -5, -44, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**0)**33)**(2\/25) assuming o is positive.\nAnswer: o**(66\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -3*b - 5*n, -5*b - 27*n - 15 = -23*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -247a10 (base 15) to base 12.\nAnswer: -7030b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4458297?\nAnswer: 3, 23, 64613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*h, 6*k = 3*k + h + 55. List the prime factors of (-5 - -33)\/(8\/k).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1900)\/(-15))\/(-10)*(-6)\/4. Solve -2*g = j - 6*g + n, 5*g - 27 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466.8962 grams to kilograms.\nAnswer: 0.4668962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*f**3 + 2*f - 125*f**3 - 9*f + 7*f - 9.\nAnswer: -8*f**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118785474 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -6\/13, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqssqfs. Give prob of sequence fqf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 85 + 67. Let u(l) be the first derivative of 0*l**5 + 2 + 0*l + l**s + 1\/3*l**6 + 0*l**4 + 0*l**3. Find the second derivative of u(i) wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-1060)\/(-14))*(21 - 7). Let a be (v\/108)\/(1\/(-6)). Is -56 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -855626 (base 12) in base 5?\nAnswer: -1014310440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26642 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 158380500*f - 1254219139012500.\nAnswer: -5*(f - 15838050)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(98) + -4 + 1*sqrt(8)\/sqrt(4))**2 - ((3 + -5*(sqrt(242) + (sqrt(242) + sqrt(242) + 1 - sqrt(242))))*2)**2.\nAnswer: -96675 - 1824*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 248337.21 months?\nAnswer: 20.6947675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -1530?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4458, -4466, -4486, -4524, -4586?\nAnswer: -4678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136617053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 3*d - 2245, 4*u + 3*d = 1769. Let z = -255 + u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3 + 4 + 0 + sqrt(448) + sqrt(448))*-1*1)**2.\nAnswer: -96*sqrt(7) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/5 + 88*x**2\/5 + 210*x + 1764\/5 = 0. What is x?\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.8 - 52. Let v = 0.3 + -0.2. Suppose 5*n - 15 = 5*m, -2*m - 2*m + 3*n = 14. What is the nearest to v in m, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 - 5. Let w(n) = -2*n**2 + 2*n + 2. Let g be w(2). Let t(v) = 2 + 8*v + 2*v**2 - 8*v. Let z(r) = g*o(r) - 5*t(r). Factor z(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335aa (base 15) to base 14.\nAnswer: 43713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 7*g + 8. Let r be u(6). Suppose 0 = -2*t - 208 + 202. What is the remainder when 29 is divided by r\/((-3)\/36*t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 821 - 811. Which is the second biggest value? (a) -3 (b) 4\/5 (c) y (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**4\/2 - 136*m**3\/3 - 4*m**2 + 544*m - 4306. Let w(t) = 0. What is t?\nAnswer: -2, 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1686*k**2 + 831*k**2 - 29*k**3 + 835*k**2 - 1 to v*k**3 + f*k + o*k**2 + n and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 0.4 (c) 2\/9 (d) -0.135 (e) -0.4 (f) 1.4 (g) 1\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-30)\/45 - (-1)\/1) + (-40)\/(-6) and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4\/2 + 17*u**3\/2 + 4613*u**2 - 9256*u = 0.\nAnswer: -89, 0, 2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (1 + (-4 - -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkekkek. Give prob of picking 3 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2591163423 + -0.95\nAnswer: 2591163422.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21863*t**2 - 7289*t**2 - 3 - 7291*t**2 - 1272*t**3 - 7284*t**2 - 2*t**3 + 2*t**2 - 2*t**2 + (-2*t**2 + 2*t**2 + 2*t**2)*(2*t + 0 + 0) + t + 2*t**3 - t.\nAnswer: -1268*t**3 - t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*6520\nAnswer: 6520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 471605159?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -3 (c) 3 (d) 7 (e) -0.1406\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28274 (base 12) in base 3?\nAnswer: 2211100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, s: 4, a: 4, g: 4, w: 2, r: 4}. What is prob of sequence rgir?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 1:51 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: c9 (base 15) to base 10\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -4*u**3\/3 + 4*u + 2. Let w(c) = 24 + 4*c**2 - 5*c**2 - 25 + 2*c**2. Determine a(k) + 5*w(k).\nAnswer: k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85332 + 2*g - 86726 + 560*g**2 + 174815 wrt g.\nAnswer: 1120*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -5) + 7 - (-100 - -183)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2827.123 centuries in months?\nAnswer: 3392547.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302204391 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -cae463a?\nAnswer: -cae4640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703 (base 10) in base 4?\nAnswer: 122213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (600\/45 + -13)\/((-9)\/(-6)). Let o = -1.2 - 5.8. What is the nearest to -1 in -0.3, o, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*10\/(-8)*(-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 564 divided by -4\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**5 + 1523*k**4 + 6*k**2 - 70108*k wrt k.\nAnswer: -40*k**3 + 18276*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**8)\/(f\/(f\/f**(7\/3))))**(-16\/5)\/(((f\/(f*(f\/f**(1\/17))\/f))\/f*f)\/f*f\/f**(-11))**(-12\/11) assuming f is positive.\nAnswer: f**(-5200\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65.9, 0.1, -7\/4, 2, -2, -128 in descending order.\nAnswer: 2, 0.1, -7\/4, -2, -65.9, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3582599.31 to the nearest one hundred.\nAnswer: -3582600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2529 - 4627*r - 2529 - 10398*r in the form c*r + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760*r + 594 = -742*r. Solve 2*m = 5*b + r, -7*b - 7 = -4*b + 2*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -687*h + 497*h**2 + 687*h + 257*h**2 + 565*h**2. Let z(r) = r. Calculate z(n(o)).\nAnswer: 1319*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004323 to four decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s. What is d(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8300*z + 8572. Determine w(1).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 0*p**2 - 5*p**2 + (3 - 1 - 1)*(9*p**2 - 17 + 17))*(-3*p + 4*p - 3*p) - 3*p**3 + 5*p**3 - 3*p**3 + (p**2 + p**2 + 0*p**2)*(-8 - 6*p + 8).\nAnswer: -27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/5, 3, 0.5, 2\/11, -0.5 in descending order.\nAnswer: 3, 0.5, 2\/11, -0.5, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-912)\/(-760)*(-5)\/3)\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h + 8. Give l(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -743 and 0.3.\nAnswer: -742.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -263460000 rounded to the nearest one million?\nAnswer: -263000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-53)\/4*-4. Let u = 60 - f. Calculate the remainder when 33 - (-1)\/(1*-1) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) - (-2*sqrt(384) - sqrt(384)) - sqrt(384))\/(5*(sqrt(12) + sqrt(108))))**2.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/4)\/(m**(1\/4)\/m)*((m\/(m\/(m\/(m\/m**9))))\/m)\/(m**14*m) assuming m is positive.\nAnswer: m**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 29*r**2 - 119*r + 37. Determine t(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/1100 and 107\/22?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13 + 7 + -7 + 3. Let q be 1\/5 + (-698)\/c. Let z = q + -701\/10. Put -1\/4, 0.4, z in decreasing order.\nAnswer: 0.4, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 0*a**3 + 0*a**2 + 53 - 62*a + 67\/2*a**4. What is the first derivative of m(t) wrt t?\nAnswer: 402*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58.1 - -58. Which is smaller: h or -0.218?\nAnswer: -0.218","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(300)*1)**2 - (-1*-1*sqrt(192) + (sqrt(192) - (sqrt(192) - (-2*sqrt(192) + sqrt(192)))*-4))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -65, -2\/19, 4, 3\/4, -1\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2 - d**2 + 7*d**2. Let c(i) = -i**2. Calculate f(c(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19*50\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 5 - 18) + (-31 - -37 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 2*y**2 - 5*y**2 + (2 - 2 - y)*(0 - y + 0) - 2*y**2 + y**2 + 0*y**2 + (-1 + 2*y**2 + 1)*(-1 + 2 + 1).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 32*p**2 - 2*p + 1. Let h be u(1). Solve 4*b + h = 5*m - 0*b, 0 = 3*m + 2*b - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*k - 8532. Suppose 16*m - 10*m - k = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 4, -1\/3, 5, 49?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**2 - 2*d**2 - 3*d**2 as q*d**2 + s*d + v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y + 5*d = -195, 0 = -y - 4*d - 39. Let w be (-994)\/(-6) + (-13)\/y. Let o = w + -95. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = 6*j - 612. Suppose -3*w + 3*v = -768, 0 = -2*v - 0*v - 8. What is the highest common factor of j and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -3 - (-2)\/4*122. Suppose -3*z - 2*z + 59 = 3*w, 2*z = 3*w - 31. What is the greatest common factor of w and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -j + 30. Suppose -2*o = -3*w - 85, 2*o + 1 - j = 4*w. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -510196 - (-157 + 171) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 - 8*i**2 - 10*i. Let g(q) = q**3 + q**2 + q. Let h(t) = -6*g(t) - r(t). Let d be h(3). Solve -3*c + 15 = 0, -d*c + 10 = -3*s - c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878749807?\nAnswer: 13, 5199703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o - 2*v = -41*o - 6, -2*o - 4*v = -2. Solve 9 = -3*z, -3*z - 32 = -o*p + z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + z**2 - 4*z + 1. Let g be k(3). Let i = 34 + -25. Solve -i = 4*j - g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6112855?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-59900.\nAnswer: -299500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642317?\nAnswer: 3, 89, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1308178338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -4*m - 4, 0 = -2*n - 5*m + 45. Let b = 15 - n. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 60 + 20 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4, 2*u - 3*t + 5*t + 41678 = 0. Is u\/2*19\/(57\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j. Suppose 0 = -2*w - 3*t + 15, w - 2*t + 10 = -0*w. Let r be 3 - (w\/4)\/(-2). Let p(g) = 2*g - r*g + 5*g. Give p(a(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 2*z - 3. Determine a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14 - -18 - ((-2)\/(-1) - -5). Let v(n) = 1 + 0 + n**2 - 3. Give v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/244 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 26361?\nAnswer: -2636.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1386988?\nAnswer: -1386987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297\/66*9\/(-135).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-115)\/225)\/((-16)\/204) + -6 and -62\/993?\nAnswer: 19860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 1220122021120111?\nAnswer: 1220122021120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -413*r**2 - 7*r + 7. Let f be i(1). Let n = 2053\/5 + f. Which is the closest to 1? (a) n (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**4\/6 - r**2\/2 + r. Let q(y) = 2*y**2 - 1. Let d(o) = 27*o - 2560. Let b be d(95). Let x = -12 - -6. Give b*q(i) + x*g(i).\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -161.\nAnswer: 3\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1765, 1765, 1755, 1729, 1681, 1605?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20914675 to the power of 1\/2, to the nearest integer?\nAnswer: 4573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 34 + 101. Suppose l - a = 2*w - w, 4*w = 3*l - 131. What is the highest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -99c?\nAnswer: -99a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let i(y) = -20*y + 14. Let z(d) = 4*d - 3. Let v(q) = -2*i(q) - 11*z(q). Calculate -5*h(g) + v(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 672 divide 808187757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6874387\/38 or 180905?\nAnswer: 6874387\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -24*q**2 + 2117*q + 4239. Give n(-2).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 4*y + 140. Let j be f(-10). Put j, 55, 4, -7 in decreasing order.\nAnswer: 55, 4, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 21. Let r be p(-17). Let c be (-10 - -96)*(-30)\/r. Let w = 1138 - c. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 3*l**2 + 2. Let x be p(-2). Let f(y) = y**3 - 6*y**2 + y - 5. What is the units digit of f(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/32 and 91\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 0, -n + 4*s = 4*n - 1370. Suppose -5*v = -6*v + n. Let k = v - 83. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -28 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa (base 16) to base 15.\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 113.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002550272 rounded to 5 decimal places?\nAnswer: 0.00255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w = 32796. Let d be 9\/21 + w\/(-21). Round d to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/7 of a week in hours?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-52 - -57)*((-184)\/(-10) - -1) is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7069077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 4*sqrt(13))**2 - (-1*sqrt(65))\/sqrt(5)) + (sqrt(52) + 3)**2 + (sqrt(13) - (-6*sqrt(26)\/sqrt(2))**2).\nAnswer: -190 + 38*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -20, -1, -34278, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7.2+1.92\nAnswer: 9.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.374, 0.02, 1\/14, 4\/5 in ascending order.\nAnswer: -0.374, 0.02, 1\/14, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3 + 20*n**2 - 46*n + 28 = 0?\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - 6336\/(-120)) + -23 + (-107)\/(-10)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 655\/37 or 19?\nAnswer: 655\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) 0.4 (c) -4 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -19, -40, -69, -106, -151?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 7:50 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1314116389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37696*c**3 - 38021*c**3 + 611 + 2*c - 43 - 2*c wrt c.\nAnswer: -975*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 9*n - 25. Suppose 4*y - 3*v + 16 = 181, 0 = n*y - 2*v - 215. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*k - 18. Let n = 573 + -569. Sort 2, 2\/23, n, k in decreasing order.\nAnswer: n, 2, 2\/23, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 43342?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 5890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 3:24 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1721 and 1759 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/27)*l**12)**(-13\/3)*l*l*l**(-2)*l**(-1)\/l*l**(-3\/2)*l*(l\/l**(1\/2))\/l assuming l is positive.\nAnswer: l**(-4832\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 923799681.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 3*m - 7, -2*m + g - 4*g = -16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 8 - 2)*(-2 - 2 + 2)*(-2 - y + 2) to the form v + k*y and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 at most as big as 1975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14998*b**3 + 4*b + 745395*b**2 - 30 - 745389*b**2 + 4*b wrt b.\nAnswer: 89988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5541 = -8*k + 16141. Suppose 0 = -4*j - 12, 2*x = 6*x - 3*j - k. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -s, 2*x - 2*s + 0 = -2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 20*f = 7820. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 4*x + 4*x)*(2 + 1 - 8).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u, -2*d + 3*d - 2*u + 66 = 0. Let f = d + 66. Suppose 0 = 4*y + 12, -l + 60 = -0*y - f*y. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 6) to base 3\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*p**3 + 5*p**2 - 4*p**4 - 92*p**3 + (4*p - 4*p + p**2)*(-2*p**2 - 4*p + 4*p) as m*p**4 + h*p + f*p**3 + a + t*p**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12420 by 6210.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 101544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4. Suppose -q = 2*t - 9. Suppose -4*p - 3*h = -107, h - 77 = -4*p + t*h. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (1466 + 4)*(7 - 124\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54518.3 + 0\nAnswer: 54518.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -36505 divided by 7301?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1211, -2\/9, -5?\nAnswer: 1211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 3*t - 1. Let r be w(10). Let z = 662\/5 + r. Let a = z - -1\/2. What is the common denominator of a and 29\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0332 minus -1785756?\nAnswer: 1785755.9668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 + 91.16. Which is the fourth smallest value? (a) -0.5 (b) -0.4 (c) 4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20606571 and 15558.\nAnswer: 41213142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1416\/32 - 7)*8\/1. Let h = a + -213. Suppose 0 = -2*q - 2, -4*m - q - 2*q = -h. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1494943.\nAnswer: 6\/1494943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 - -54476?\nAnswer: 54533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*v + 6. Suppose 3*u - 5*m = 392, 2*m = v*u + m - 266. What are the prime factors of u?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4259, -17024, -38305, -68108, -106439, -153304, -208709?\n\"Answer: -r**3 - 4252*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.06 + 8. Let c = -0.94 + t. What is the nearest to 0.1 in 1\/6, c, 2\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24568 - 294799\/12. What is the common denominator of (-4)\/(-6)*102\/(-39) and m?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - 33. Let p = 83 + d. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + 574?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 19486*v - 175318. Determine f(9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -110652 (base 7) to base 11\nAnswer: -13753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -657 + 666. Calculate the least common multiple of u and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/428 and -37\/2420.\nAnswer: 258940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 26.3?\nAnswer: 3.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*k + 988 = -0*d - d + 950, -5*d + 43 = 4*k for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84750 and 197750?\nAnswer: 593250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*c**5 + c + 132?\nAnswer: -2480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m + 122 - 158. Suppose -113916 = -m*v - 3*u - 30949, -3*v + 62226 = 3*u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*b - 98*b + 445 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6169\/(-199) + -1*(1 - 0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-94)\/(-14) + (-2)\/(-7). Suppose 3*u = 20*u + 32 + 19. Is 3 a factor of r - (-9 + 3 - u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhh when three letters picked without replacement from yyhyyhyyyyyyyyh.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 12. Let v be h(6). Suppose -5 = 6*l - l. Let g = l - v. Calculate the greatest common factor of 45 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 914 (base 15) to base 6\nAnswer: 13244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**3 + 8*c + 8. Let h(x) = x**3 - x - 1. What is 40*h(n) + 5*k(n)?\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1*3)*(-283)\/11320?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o + 6 = 0. Let p be o + 2*-1 - (-44)\/(-36). Let g = -3 + 3.2. Which is the nearest to p? (a) g (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + 7*s + 8*s**2 - 2*s - 6*s**2 + 4*s**3 as j + r*s**3 + y*s**2 + m*s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546 - -541.\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1901004736 and 1088?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m - 487 - 171 = 0. What is the greatest common divisor of 70 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -344, -328, -294, -236?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 16230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 11*b - 1. Suppose -3*c + 6 = -0*c. What are the prime factors of i(c)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4595 (base 10) to base 3.\nAnswer: 20022012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 3*x**2 + 2. Let z(c) = 2*c**2 + 325*c + 8781. What is the lowest common multiple of z(-129) and f(3)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -587 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28895 times 0.84?\nAnswer: 24271.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14 = x - 4*x, 2*x + 5*l - 24 = 0. Suppose -2*k - 3*w + 50 = 0, -x*k + 3*w = -36 - 2. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172763534663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 h when four letters picked without replacement from {v: 1, h: 3, c: 12, l: 2, r: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30801, 30807, 30813, 30819?\nAnswer: 30825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808365421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63 + -1c708?\nAnswer: -1c76b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40630 and 16730?\nAnswer: 284410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30632236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 99 + 269 + 2*z**3 - 110.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + -1*sqrt(110)*2)\/(6*sqrt(20)))\/((6*(sqrt(396) + sqrt(396)*-2 - sqrt(396)) - sqrt(396))*-5))**2.\nAnswer: 1\/10951200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 + -2495195?\nAnswer: -249515a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 25*t**2 + 26*t + 8. Give v(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/38, -2\/5, 5, 3?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 108223162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -131 - 109. Let n = -434\/9 + t. Which is the biggest value? (a) n (b) 1\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {x: 7, v: 2, q: 2, s: 1, k: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 4, x: 4, w: 4, u: 1, a: 1, v: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 238*x**3 - 150*x**2 - 281*x**3 - 114*x**3 wrt x.\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 877168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1115 - 1117. Let r = -0.36 + 0.06. What is the closest to v in r, -3\/7, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27300000)\/(4\/(2 + -6)). Round o to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506087.\nAnswer: 3, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3720 and 12555.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 23) + 0 - 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 82 = -2*y, 34*n - 65200 = 2*y + 37*n - 65302 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -211 and -61?\nAnswer: 12871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 15*f - 53. Calculate the remainder when g(7) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44617961 is divided by 2414.\nAnswer: 2413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -392 by 98.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2034340 + -1015?\nAnswer: 2033321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 89 + 351. Suppose r = 34*w - 29*w. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*i + 956*i - 15174 - 55 = 126339 for i.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*u + 8*u. Suppose y - 50 - 408 = u. Does 32 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1772 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 29. Let a = -145 - -226. Calculate the remainder when a is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3.03. Let x = -3.03 - c. Let t = -2 + 1.5. What is the nearest to 0 in t, x, 3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 25 = -5. Suppose 0 = -i + 2*t + 18, i - 3*t + 1 - q = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:25 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 5*m + 31, -2*m + 2281 = -2*i + 2293 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -354 divided by -9\nAnswer: 118\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 - 12*f**2 - f + 1. Let y(v) = 13*v**3 + 49*v**2 + 3*v - 5. Let h = -5 - -7. Let k(u) = h*y(u) + 9*q(u). What is the units digit of k(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-88)*1072819\/17211?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from ffxifuw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/72)\/((-5)\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + v**2 + 6*v + 110. Suppose -2*d = -3*y + 58, 5*d = -5*y + 4*d + 75. Calculate the remainder when z(0) is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -3, 4 in descending order.\nAnswer: 8, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 11*h**2 - 6*h + 9. Let u be g(-10). What is the thousands digit of (u - 3)*4\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 s, and 1 q when three letters picked without replacement from qsuse.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 8*f + 2. Let b be j(-8). Suppose -b*o + 2 = 0, -k - 939 = -2*k - 2*o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28543 and 3.\nAnswer: -28540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 10. Let u(r) = -7*r**2 + r - 22. Calculate 13*f(p) + 6*u(p).\nAnswer: -3*p**2 + 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 11:50 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*j + n, -805*j + 801*j - 5*n = 1 - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72)\/6*2\/4. List the prime factors of 19 - (i - -4 - 2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -20*r - 36. Is f(-12) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23135037, 0, 5.\nAnswer: -23135037, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2471 and 1\/230156.\nAnswer: 1611092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*q + 10 = -108*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 1 = 2*q - 2*s, 2*s + 81 = 5*q. Let k be (-1 + 16\/12)*q. Is 2*k\/4*10 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:08 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1 - 10)*(-6)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (5 + -2 - 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8542107.5 rounded to the nearest ten thousand?\nAnswer: 8540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**5\/70 + y**4\/21 + 6*y + 42. Let p(b) be the first derivative of l(b). Factor p(a).\nAnswer: -2*a**2*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 82. Differentiate -2 + 51 - 150 + p*a**3 - 24 + 48*a**3 with respect to a.\nAnswer: 252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, -4, 8, -2 in decreasing order.\nAnswer: 8, -2, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 7095*i = -5*z + 5*z + 7093*i - 45, -3*i - 72 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28702459.\nAnswer: 23, 137, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 5 - (-162)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/30*-2 + 12\/(-30). Which is the smallest value? (a) k (b) 0.5 (c) 2 (d) -0.09 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 81*w**2 + 132*w + 4156. Determine v(-80).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**2 - 1 + 1 - 15*d**2 to o + u*d**2 + f*d and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93 (base 14) to base 15.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**3 + 0*g**2 + 0*g**2)*(16 - 16 + 2*g) to l*g**4 + k*g + x*g**2 + f + v*g**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/10)\/((-2)\/(-5)). Suppose 0 = j*t - 2*t - 6. Solve -t*x + 5*i + 0 = -2, 3 = -2*x - i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79205\/3 + -26403. Let x = -0.4 - 0.6. Which is the closest to x? (a) s (b) 167 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14966814 to the nearest integer?\nAnswer: 3869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/11 (b) 0.09 (c) -0.2 (d) 1143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.84 + 3.04. What is the fourth biggest value in -0.1, -6\/13, 0.1, d?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4\/3 - 261*q**3 + 25615*q**2\/3 - 37239*q + 86884\/3 = 0.\nAnswer: 1, 4, 29, 749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oac when three letters picked without replacement from accoaaccaaggga.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 0*j**2 + j**2)*(2 - 5 - 1) + 2*j**2 - 2*j**2 + j**2 + (4 - 2*j - 4)*(-8*j + 17*j - 34*j).\nAnswer: 55*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17169262 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + sqrt(704) + (2 + sqrt(704))*-3 + (1*sqrt(704) + -3)**2)*-3 - ((-5 + -2*sqrt(704) + -1)*3)**2.\nAnswer: -27789 - 1560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 7*u**2 + 5 - 4*u - 9 - 1. Let h be 1 + 2 + -1 - -4. Is c(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 5*v + 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from gxbdgdbggd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(216) + 2*(2*sqrt(216) + sqrt(216))))\/(-4*-2*5*sqrt(12)).\nAnswer: 63*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 11 - 31)*(3*g**2 - 6 + 6)*(2 - 2 - 2*g**2).\nAnswer: 378*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*n + 1999, 3*u + 5*n = 10*n + 1985. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(2\/7))\/w*w)**43\/(((w*w*w**0*w*w)\/w)\/w)**(5\/9))**(2\/137) assuming w is positive.\nAnswer: w**(3730\/8631)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 times 289\nAnswer: -838.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-3 - (3 + -7)). Let m be 25 - 38 - (-13)\/1. Put -1, m, q, -6 in decreasing order.\nAnswer: m, -1, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3\/u*u*u**(-5\/3)\/u)\/((u*u**(3\/5))\/(u**(2\/9)\/u)))\/((u**(1\/2))**(-31))**(11\/5) assuming u is positive.\nAnswer: u**(577\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (403\/(-26))\/(2\/(-4)). Let d = q + -30. What is the least common multiple of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommmomoomomomoomom. Give prob of picking 1 m and 1 o.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*v = -64, 4*x - 4*v = 3*x + 22. Suppose 0 = 2*m + 6 - x. Solve 2*l - m*q = 8, 5*l - 2*q + 1 = q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529936734 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 4, o: 1, s: 3, r: 8}. What is prob of sequence ros?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 2)\/(-5) + 29\/(-25). Let o = -6\/25 + l. Let a = 1\/10 + 13\/20. What is the third smallest value in o, a, 0.024?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1484*z - 1501. Give j(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -49037*s + 1863408. Determine q(38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, t: 1, e: 1, f: 2, y: 1, h: 2}. Give prob of picking 1 f and 1 h.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 242421 (base 8) to base 13\nAnswer: 2bb54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7))**(26\/7)\/(z**(-1)\/((z*z**(-1\/6)*z)\/z)))\/(z**(-4)\/z**(4\/7)*(z\/(z\/((z**(-2\/3)\/z)\/z)))**(-9)) assuming z is positive.\nAnswer: z**(-5485\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 34. Suppose -5*k + 1270 = 315. Calculate the lowest common multiple of m(10) and k\/9 - (-4)\/(-18).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 6*u**2 + 6*u. Let n be g(-5). Let o = -3 - n. Suppose 0*s + 6 = o*s. Solve -6 = s*q - q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2314, 4662, 7010, 9358, 11706?\n\"Answer: 2348*n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g = -8. Suppose g*r - 4*k - 306 = 0, -r + 2*r = k + 155. List the prime factors of r.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(4\/8). Let r(s) = -s**3 + 4*s**2 - 2*s - 1. Let d be r(3). Suppose -d*k - c*k = -185. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -410207*o**4 - 258*o**3 - 240228562*o**2 wrt o.\nAnswer: -9844968*o - 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -4150417, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 51) + -3 - -17.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*x = -47305, 11*x = -u + 12*x + 15768. Let t be (-1277445)\/(-3)*3\/(-81). Let c = t + u. What is the common denominator of c and 40\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 3*o - 7*o + 19*o + 4*o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-144)\/84*(-105)\/10. Solve p - 5*h + 1 = u, 13 = 2*p - 3*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.24 - 2.2. Let l = 0.04104 - k. What is l rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 54. Which is bigger: -4\/27 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 2. Let p(y) be the second derivative of 2*y**2 - 7\/6*y**3 + y + 0. Suppose 0*f - 3*f - 5*c = 5, -3*f + 3*c - 21 = 0. Give f*m(q) + 2*p(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 12 = -16*b. Let y = b + 9. Solve o = y*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -413, -0.73, -2 in descending order.\nAnswer: -0.73, -2, -3, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -c - 5*o + 17, 4*o = 8. Let b = c + 11. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2207, -4412, -6623, -8846, -11087, -13352, -15647?\nAnswer: -17978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/2, 1\/8, -2, 5, 3\/31 in decreasing order.\nAnswer: 5, 1\/8, 3\/31, -2, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**7\/105 - h**6\/60 - 3*h**5\/10 - 11*h**4\/12 - 4*h**3\/3 + 6*h**2 + 8. Let a(p) = 0. Calculate p.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.3 + 118.7. Let l = k - 156.99883. Round l to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 92*f**2 + 281*f + 17. Is k(-9) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5262 is divided by 320.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 - 1)*(b**2 + 4 - 4).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 262, 171, 68, -41, -150, -253, -344?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00074344739 to 5 dps.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) 1085 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f + 5*j = 15, 0 = 5*f + 2*j - 24. Solve 3*g = f*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 + 33*d + 67. What is z(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.1 - 0.1. Let q = y - 7. Suppose -12 = -5*o - 2. Which is the smallest value? (a) -0.3 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 20 - 23 = z, -3*k + 2*z + 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4086213449 - 1.8\nAnswer: 4086213447.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 12*z**2 + 12*z - 17. Let a be c(-13). Let h be (-7)\/(-1) + 12\/a. Suppose 2*x = -h*x + 90. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 90304 = 5*o, -5*o + 3*o - 2*k = -36118. Suppose -6*j - o = -36*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 2*l + 133 - 24.\nAnswer: -2*l + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 + 2*l**2 + 7*l + 41. Determine b(-4).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Let q be l(-4). Let d = q + 11. Suppose -2*n - 6 = 0, -3*n = u - 1 + d. Calculate the greatest common factor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4295.\nAnswer: 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - r - 2*r)*(2*r + 0*r + 0*r)*(10 + 4*r**2 - 10) to u*r**4 + x + a*r + f*r**2 + b*r**3 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 321206707*c**4*s**2 - 2*c*s**2 + 3*c*s - 3*c - 3*s**2 - s + 63414 wrt c?\nAnswer: 3854480484*c**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -258*q**3 + 122*q**3 - 8*q + 7*q**4 + 135*q**3 to the form f*q + r*q**2 + a*q**3 + w + p*q**4 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 624271*f**4*s**2 - f**2*s**2 - 22954*f*s**2 - 4*f*s + 2*s**2 wrt f?\nAnswer: 14982504*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/60*-6*10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*b**4\/9 - 27616*b**3\/3 + 20728*b**2\/3 - 15550*b\/9 + 144 = 0. Calculate b.\nAnswer: -648, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -10*y**2 - 1155 + 1152 + 4*y**2. Let i(k) = 5*k**2 + 2. Let u(c) = c + 7. Let s be u(-5). Give s*m(r) + 3*i(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -41676 (base 10) in base 7?\nAnswer: -232335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3615107 (base 8) in base 3?\nAnswer: -1212021201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32396*a - 11766 = -32174*a for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/5 + 31*p**4\/24 - 640*p**3\/3 - 40*p**2 - 5*p. Find the first derivative of c(u) wrt u.\nAnswer: 24*u + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(605)*-3 - sqrt(605))**2*-6.\nAnswer: -58082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - p - 80, -m - 5*p = 18 - 104. Suppose -5*x - m + 1571 = 0. What is the units digit of (-4)\/(-20) - x\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 9. Let t be m(6). Suppose -2*l + 6 = 2, -11 = -t*s + 5*l. Let b(p) = 6*p + 10. Does 26 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 67. Let w be n(-14). Let m(h) = -5*h**2 + 4*h - 1. Let b(v) = 9*v**2 - 8*v + 2. Let x(j) = w*m(j) - 6*b(j). Determine x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufffuuu. Give prob of picking 2 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3040 is divided by 3034.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13376, -27031, -40678, -54317?\nAnswer: -67948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 784074 - -8801?\nAnswer: 792875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 156.\nAnswer: -7\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 44*g**2 + 9*g - 187. Calculate i(22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18173 is divided by 17080?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15559945, 31119891, 46679837, 62239783, 77799729, 93359675?\nAnswer: 108919621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97994926\/3 or 32664976?\nAnswer: 32664976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*c = 136, 64 = -3*c - 47 - 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -0.3195\nAnswer: -0.00639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/60 + 5*j**4\/12 + 17*j**3\/6 + 3689*j**2. Determine a(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 1114. Let i(g) = 2*g. Determine i(f(o)).\nAnswer: -8*o + 2228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8048 + 8049. Let s(x) = x**3 + 3*x**2 + 5*x + 3. Let p be s(-3). Put p, 5, v in increasing order.\nAnswer: p, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 621 and 73539927.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 3*z + 14. What is the units digit of d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195851\/1053 + 2420\/13. Let h = f - 4\/81. Which is the closest to h? (a) 5 (b) -1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48.2 - 48. Which is greater: -0.12 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, 4, 71, 5\/4?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 2*y + y + (4 + 2*y - 4)*(2 + 1 - 5) - 3*y + 3*y + 3*y in the form a*y + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.7 - 350108710034.\nAnswer: -350108710052.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 262430 and 3260.\nAnswer: 524860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z + 30. Determine w(12).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209908691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*g*o*q + 76004*g*q**2 - 58*g*q + 7411*g - 1118*o*q**2 - o*q wrt q?\nAnswer: 152008*g - 2236*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2954 and 412294?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.18 times -0.4?\nAnswer: -0.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 10, i: 3, n: 2}. Give prob of sequence xg.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -12, -94, -4.\nAnswer: -94, -12, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39948094507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113, 108, 103?\n\"Answer: -5*n + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + g + 4. Let y be s(0). Suppose -y*l + 49 = -3. Let n = -11 + l. Is 4\/3 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**34*j*j**(-8)\/j*j**(-1\/4)*j**(-32)\/j)**(3\/19) assuming j is positive.\nAnswer: j**(-87\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35726, -71454, -107182, -142910?\n\"Answer: -35728*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*r**5 - 23*r**4 + 5*r**3 + 285*r + 3?\nAnswer: 280*r**3 - 276*r**2 + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 1. Let o be j(4). Let w(s) = -7 + o + s + 7. Let v be w(-5). Which is the biggest value? (a) -1 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-21) + 75\/(-42)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 175 = 17*o. Suppose -6*k + k = -200. Let i = k + 235. What is the highest common factor of i and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(14\/10))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (38\/(-4))\/((-35)\/(-70)). Put m, -5, -3 in decreasing order.\nAnswer: -3, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -p - 6, 4 = p - 4*q + 8. Let g(f) = -f**3 - 13*f**2 - 17*f - 12. What is the units digit of g(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 7. Let r(w) = -3*w**3 + 3*w**2 - 2*w - 3. Let z be r(-1). Determine q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -117*i - 74*i + 221*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 462\/(-4312)*(-42)\/(-72)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 16*z**2 - z + 7. Let u be x(-16). Suppose 0 = -s - u + 119. Calculate the lowest common multiple of 44 and s.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1064 - 3.1064. Which is the nearest to n? (a) -0.3 (b) 0.2 (c) -5 (d) 11.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*((sqrt(180) - (-3 + sqrt(180)*-5)**2) + 2)*3.\nAnswer: -162252 - 6264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129066954?\nAnswer: 2, 3, 21511159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*h + 3442 = -0*h, 4320 = 5*c + h. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 435*x**2 - 24*x - 9. Let s be h(-6). Let m be 2 + -1 + 2 + s. Suppose 44*r - 50*r = -m. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**3\/6 + 5*b**2 + 11*b + 28. Give o(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1064, 8822, 29932, 71072, 138920, 240154, 381452, 569492?\n\"Answer: 1113*v**3 - 2*v**2 - 27*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:06 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - 38)\/(5\/4 - 1). Let x = u - -186. Suppose 0*l = 4*l - 4. Solve 2*n + 3 = -q - 2*n, x*n - l = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**4\/12 + 2*j**3\/3 + 2*j**2. Let z be t(3). Suppose -c - c = -z. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -20*k**2. Let c(o) be the second derivative of -o**3\/2 - o + 1. Calculate a(c(u)).\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8 + -2. Let r = 0.1 - u. Let j = r + -0.2. Are j and 0.1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 246*g**2 + 8*g + 27. Let h(s) = s**2 + 2*s + 9. Give -3*h(v) + r(v).\nAnswer: 243*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -17. Suppose 0*l = l + 4, 4*f + 5*l = 16. What is the remainder when f is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 1, -55, -109?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*r - 123*r - 31*r = -30240. What is the remainder when r is divided by 171?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - -145. Suppose 14*h - 331 = w. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 10. Let b(t) = -2 - y*t + t + 3*t - t. What is the units digit of b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 14. Find the first derivative of -11 + 13 + 18*b + f wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus -248.19023029?\nAnswer: 248.30023029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 431911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmrr when four letters picked without replacement from {r: 13, m: 5}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -0.0366.\nAnswer: 3.0366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {j: 2, f: 1, m: 1, o: 2, k: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 43*a**3 + 5*a**2 + 14*a - 2. Let y(c) = 42*c**3 + 4*c**2 + 15*c - 2. Let x(g) = -4*r(g) + 5*y(g). What is the second derivative of x(m) wrt m?\nAnswer: 228*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 22. Suppose -4*k = 11 + 53. Let r be w(k). Which is greater: 5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -1. Suppose -o*c = -3*m - m + 1, -2*c = -2*m. Let g = 4 + c. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1479 and 2.2?\nAnswer: 1481.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 34. Let l(p) = 4*p**2 - 8*p + 5. Let m(u) = -u**2 - 9*u - 9. Let w be m(-7). Calculate the remainder when l(w) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12835*j - 6421*j + 26*j**2 - 6414*j.\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2. Let r be 43\/(56 + 30) + (1\/(-2) - 0). Let i(v) be the third derivative of r*v**4 + 0*v + 0 + 13\/60*v**5 + 0*v**3 - 4*v**2. Determine i(a(d)).\nAnswer: 52*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-26 + -12) - 19 - -3\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**6\/420 + 2*a**5\/105 - 5*a**4\/84 + 2*a**3\/21 - 4*a**2. Suppose z(d) = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 637837223, 1275674445, 1913511667?\nAnswer: 2551348889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 7*w**3 + 6*w - w.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 45, 51, 59?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.2. Suppose -5*k = 11*k + 4768. Let f = -300 - k. Which is the nearest to -2? (a) p (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 200*u**2 + 1797*u - 36. What is m(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 + 3*p**2 - 6*p + 134. Let w(b) = -5*b**3 - 7*b**2 + 15*b - 269. Calculate 5*n(j) + 2*w(j).\nAnswer: 5*j**3 + j**2 + 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 + 0*d**3 - 2 + 4*d - d**3 + 4. Suppose g = -2, -3*n + 0*g - 16 = 2*g. Let t be p(n). Solve 0 = -a - t - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 3282377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3876 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + -2*sqrt(2304))\/(sqrt(8) + sqrt(72)*3)*-4.\nAnswer: 46*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.07 - 58.07. Let n = -34.7 + 0.7. Let s = r - n. Is -2\/7 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 2000111?\nAnswer: -2000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66194*r**2 + 7101*r + 36086*r**2 - 7105*r.\nAnswer: 102280*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4. Let x(o) = -o + 7. Give -5*u(c) - 2*x(c).\nAnswer: 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(32\/364) + -4. Let t = 223 + b. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 23 (c) -1\/10 (d) -2981 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27*37\/333*(-2)\/3. Which is the nearest to -1? (a) -1 (b) 12 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 2, -12, -32?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 17*g**2 - 62*g + 183. Let p be z(9). What is p rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21636, -23058, -24480, -25902?\nAnswer: -27324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 10 + -2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**3 - 9*k + 6*k**4 - 265140 + 265152 - 5*k - 5*k**4 to w*k**2 + d*k**4 + o + v*k + p*k**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 1330.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29357 is divided by 9783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 23. Suppose 0 = b*s + s - 12. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 706 or 707?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 3350 - 3350 - 10*w**3 - 30*w to z*w**3 + j*w + d*w**2 + h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1128, -1112, -1096, -1080?\n\"Answer: 16*q - 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27596227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*b - 48, 0 = 3*b + n + 4*n - 27. Let q(s) = -13 + s**2 - s**3 + 10*s + 5 - 3*s**2 - 4*s**2. Calculate the remainder when q(-8) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93786, 93638, 93490, 93342, 93194?\nAnswer: 93046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 3:34 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-5*(2*sqrt(104) - sqrt(104)))\/(sqrt(24)\/(2*(sqrt(3) + sqrt(6)\/sqrt(2)))))**2.\nAnswer: 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24671505223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 + 113. Let s(k) = 115*k - f*k + 115*k - 7. What is s(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5*q - 18 - 6 = -3*c - 18*c, -4*q + 12 = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1132*q - 4483. Give w(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -339 - -447. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 + s + 11. Let y be w(0). Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222766335 divided by -55\nAnswer: -4050297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3569*h + 3709*h = -280 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 27337*o\/2 - 218760.\nAnswer: (o - 16)*(o + 54690)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*o*p**2 - 1265*o*p - 5*o*s**2 - 4667*o*s + 2*o + 2*p**3*s**2 - 7*p**3 wrt s?\nAnswer: -10*o*s - 4667*o + 4*p**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 31*z**6\/30 - z**3\/3 + 15*z**2\/2 - 2*z + 18. Find the second derivative of q(r) wrt r.\nAnswer: 372*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1665822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 2*u + 6, 3*u + 7 = y + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -895*h + 444*h + 381*h.\nAnswer: -70*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 279930 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 - 42. Let r = -130.3 - u. Let d be ((-24)\/21)\/((-12)\/14). Which is the closest to -12? (a) 1\/4 (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 57. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihmihififiihiimiihhh. Give prob of picking 1 h and 1 m.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9224 (base 10) to base 11.\nAnswer: 6a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 264?\nAnswer: -5\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-95)\/57*11838\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (5 + 7)\/(10\/165) and 6?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 + 286. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/98)\/((-2)\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 595, 517, 453, 409, 391, 405?\n\"Answer: i**3 + i**2 - 88*i + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.72 + -4?\nAnswer: -67.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.50548ns in microseconds?\nAnswer: 0.02950548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 3*z + 1. Let x be l(2). Let g = 19\/6 + -11\/3. Let t(u) = -u**2 + 10*u - 12. Let s be t(9). Which is the closest to g? (a) s (b) x (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -597722.\nAnswer: 298861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-45 - -27)) + (-7 - (-1 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x**2 + 16*x**2 + 17*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1803*g**2 - 881*g**2 - 824*g**2.\nAnswer: 98*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, b: 7, y: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 711618 and 0.14?\nAnswer: 711617.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 13. Suppose -4 = z*g, 3 = w - 3*g - 1. What is the tens digit of 10*3 + w + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.476748 centuries?\nAnswer: 0.2476748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2569159?\nAnswer: 17, 79, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 - 2*h**2 + 44*h**3 - h + 2*h**4 - 2 - 103*h**3 + 52*h**3 as q*h**4 + i + d*h**3 + s*h**2 + u*h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 + n**3 - 2*n**3)*(-3 + 3 + 2)*(-37 + 37 + 29*n).\nAnswer: 116*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64914165 to the power of 1\/2, to the nearest integer?\nAnswer: 8057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p. Let h(j) be the first derivative of -j**3 + 9. Calculate d(h(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**4 + 3*y**4 + 2*y**4)*((1 + 0 - 2)*(-13 + 19 - 65) + 2 + 3 - 4).\nAnswer: 60*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-56)\/(4\/(-1)). Find the first derivative of -b - 4*k - 9*k - 2*k - 3*k wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-5) + 72\/24\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102068.15996 + 937.24296. Let j = b + 101178. Let o = 0.083 - j. Which is smaller: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -g + 3477, 0 = 4*g + 3*p - 10989 - 2893. Suppose -d - 63*o + 709 = -67*o, 0 = -5*d + o + g. List the prime factors of d.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -4.1, 0.2, 1\/2, 0.4, -0.5 in decreasing order.\nAnswer: 1\/2, 0.4, 0.2, -0.5, -4.1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 26. Find the first derivative of 2*o**2 - 7 - p + 16 wrt o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-22)*x*x\/(x\/(x**13\/x*x)) assuming x is positive.\nAnswer: x**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -123. Let v be (-68)\/12 + 6 - (-536)\/(-6). Let s = q - v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/10)\/(6\/(-900)). Suppose -m = 3*m - f. Suppose 0 = -5*x - x + m. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11838 is divided by 984?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9436, 9434, 9432?\nAnswer: 9430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.72, 0.1, -106, 2, -0.3, 0 in decreasing order.\nAnswer: 2, 0.72, 0.1, 0, -0.3, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8 and -13\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36862638 + 22481041. Let r = k - -14381568.999991. Let j = 28 + r. Round j to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + b**3 - 61*b**2 - 40*b**2 + 170*b**2 - 41 - 60*b**2 to the form q*b + p*b**3 + y + g*b**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413428 is divided by 59061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2956*w - 1285*w - 1673*w - 187.\nAnswer: -2*w - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 268353881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2856063, -5712116, -8568169, -11424222?\n\"Answer: -2856053*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3225 (base 9) in base 6?\nAnswer: -14552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 2*o)*(5*o + 2 - 5*o + 3*o).\nAnswer: 3*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m**2 + 3. Let l be k(2). Let x(c) = 21*c**2 + c + 1. Let b(z) = -20*z**2 - z - 1. Let i(h) = -6*b(h) - 5*x(h). Is i(l) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224815602 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 24 - 91 = 0. What is the greatest common divisor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3 + 23*f**2\/5 - 8*f + 12\/5 = 0. What is f?\nAnswer: -6, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 90*c + 89. Let w be v(44). Solve 4*p - 1 = -5*n + w, 5*p + 14 = 2*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1180 - 1173.998. Let n = -0.428 - f. Let r = n - -0.43. Which is the third biggest value? (a) -1\/3 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -310, -0.03, -2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 3*l**2 + 2*l - 5. Is a(5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1229*i**2 - 8*i - 8. Let f be n(-1). Suppose 0 = 3*y + 3*c - f + 302, 0 = c. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38484430.\nAnswer: 2, 5, 17, 226379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 h when four letters picked without replacement from mhmmmhmmmhmhmmmmhh.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5*(-4)\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + 5*d + 0*d)*(-3 + 6 + 5)*(-4 - 2 - 1).\nAnswer: -672*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)\/(q**(-2\/29)\/q))\/((((q*q**7)\/q)\/q)\/q*q*q**(-1)*q) assuming q is positive.\nAnswer: q**(-315\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1. Let d(j) = -11*j**2 - 16. Let f(v) = -d(v) + 5*i(v). What is the first derivative of f(u) wrt u?\nAnswer: 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37382001?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16006597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8559\/11410 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*p**3 + 9*p**3 + 2*p**2 - 9*p**3 wrt p.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5584 divided by 349\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*c = -24, 3*w = -4*c - 3 - 5. Let b(x) = 6*x**2 - 2*x - 2. What is the remainder when b(-1) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**3*v + 146812*l**3 + 4*l**2*v - 2*l**2 - 30858*l*v - 151*v wrt l.\nAnswer: -30*l*v + 880872*l + 8*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-12))\/(2\/114). What is the highest common factor of 152 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104056 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = 10, 4*g - 252 = -5*p. Calculate the least common multiple of 18 and g.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 3*k**2 - 6*k. Let r be d(-9). List the prime factors of (-251)\/(-11) - r\/165.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -262, -540, -818, -1096?\n\"Answer: -278*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-236)\/(-56) + (-9)\/6. Let q = g - 8\/21. Let a = -23\/9 + q. What is the biggest value in -2, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -21. Suppose 2*u = -3*h + 65, 4*h + 2*u = -39 + 125. Calculate the remainder when h is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 divided by 890?\nAnswer: 477\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -6) + (0 - 7) + -40 + 20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - x + 1. Suppose -15 = -2*i - i. Let p = i - 8. Let y(d) = -2*d**3 + 3*d**2 - 3*d + 3. What is p*o(u) + y(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5\/3 + 3410*c**4\/3 + 248812*c**3\/3 - 379178*c**2\/3 + 42320*c = 0.\nAnswer: -69, 0, 1\/2, 1, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99 - (-14 - 57)) + (9 + 0 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2*x + x)*((1 + 4 - 4)*(-2*x + 0*x + 3*x) + 3*x - 3*x + 2*x)*(6*x**3 - 10*x**3 - 5*x**3).\nAnswer: 27*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1002 (base 4) to base 7\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*r + 0*r = 140, 2*i - 140 = 2*r. Calculate the highest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 302?\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2153 + 377. Does 46 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 1\/3*c**3 + 5*c - 103 + 4*c**2. Give t(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -9531, -2 in ascending order.\nAnswer: -9531, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 9*k - 15. Let u(z) = -3*z**2 + 25*z + 41. Let b(n) = 11*a(n) + 4*u(n). Let l(x) = -x**2 - 1. Give -3*b(j) + 2*l(j).\nAnswer: j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 1354*d**2 - 25382*d - 6536 = 0.\nAnswer: -172\/677, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) + 2\/45. Let d = -0.89 - 0.11. Let s = -2 - d. Which is the smallest value? (a) s (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 11:40 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*t, 22*t = 5*l + 24*t + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61312.1 years in months?\nAnswer: 735745.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/8199 and -17\/29152?\nAnswer: 262368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = i + 48, 4*p - i = -6*i - 30. Let b be ((-4)\/p)\/((-3)\/(-15)). Solve 0*u - 6 = b*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r**2 - 34*r**2 - 31*r**2 + 2433 + 123*r**2.\nAnswer: 24*r**2 + 2433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05927 and 24578748708.\nAnswer: 24578748708.05927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -495 - 0.1.\nAnswer: -495.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64.94 + 64. Let m = -2.08 - z. Let i = m + 1.14000101. What is i rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t. Let j(r) = 63*r**2 - 2*r. Calculate j(v(l)).\nAnswer: 3087*l**2 - 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38275?\nAnswer: 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 233 + 59 + 165 = 66*k, 4*k - 5*s + 26 = 7*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m + 1. Let f(w) = 15677*w + 2313. Give 2*f(o) - 4626*i(o).\nAnswer: -1028*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -403914 by -19234.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1010*m**2 - 3531*m**2 + 0*m**3 - 9*m**3 + 5*m**3 - 1687*m**2.\nAnswer: -4*m**3 - 4208*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 240.784 millilitres?\nAnswer: 0.240784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 9:14 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 68888*f**3 - 68890*f**3 - 10*f**2 + 8*f**2 + 2*f**2.\nAnswer: -2*f**3 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4147000 divided by 103675\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/5 (b) -0.5 (c) -1\/5 (d) 5 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18137 is divided by 958.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23715\/6 + (-12)\/8. Suppose -19*n = -22*n + z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 404464404 and 8052.\nAnswer: 4449108444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - 6 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 6*x = 3*l - 33, -2*x - 4*l = -24. Calculate the highest common factor of x and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -306 - 5?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546224019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -238716.911 rounded to the nearest 100?\nAnswer: -238700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7063b28 - -3?\nAnswer: 7063b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7 != 303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -687 - 109. Let a(k) = 115*k - 7. Let f be a(10). Let z = f + x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q = 52*q - 2*m + 38, 0 = 3*q + m - 23 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**4 - w**3 + 63 - 129 + 63 in the form n*w**2 + p*w**3 + s*w**4 + j + t*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1384 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*n - 30 = 5, 0 = -3*w - 5*n - 13. Let f = w - 4. Suppose i - 2 = -f*i. Solve 4*g + 3*v + i*v = -18, -2*v = -5*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -r - 148, -7*r + 5*r = 2*h + 272. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -554*j**3 - 558*j wrt j?\nAnswer: -3324*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -368924, -737863, -1106814, -1475777?\n\"Answer: -6*m**2 - 368921*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**2\/8 + 4875*i\/8 - 59850 = 0.\nAnswer: 105, 1520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 825.6314 millilitres?\nAnswer: 0.8256314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 6665*r - 21 = 6662*r, 3*r = 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 - -33. Let d = 35 - z. List the prime factors of d\/10 - 5\/(-25).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, and 1 b when three letters picked without replacement from {b: 1, u: 1, y: 2, o: 1, w: 1, z: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 60*d**3 + 58*d**3 - 119*d**3 - 1 to h*d**2 + g*d + a + z*d**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:59 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*i - 271 = 0, 2*o + 3*o = 5*i - 485. Let t = 38 - o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*w = 32, -w - 24 = -3*j + 2*w. Let t(c) be the first derivative of -5*c**4 - 2*c**3\/3 + c**2\/2 - 1. Calculate t(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0, 33 in descending order.\nAnswer: 33, 25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-27)\/3 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133239339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 8*i**2 - 21*i + 13. Let q be b(-9). Let p = -279 + q. Solve 9 = p*l + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16416, 16425, 16456, 16521, 16632, 16801?\nAnswer: 17040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*d*h**2*x**2 + 825*d*h*x**2 - 2*h**2*x - 67270*x**2 wrt d.\nAnswer: 89*h**2*x**2 + 825*h*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -14*o**2 - o**2 + 2*o**2 + 11*o**2 + 3*o**2. Let q(i) = 5890*i. Calculate q(r(n)).\nAnswer: 5890*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348886 divided by -7?\nAnswer: -192698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4\/4 - 7*z**3\/3 + z**2 - 2*z - 2. Let s be b(-7). Let q = s - -20. Put q, 2\/7, 0 in descending order.\nAnswer: q, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46\/761 + 11507\/1522. Let c(q) be the first derivative of z*q**2 - 24*q - 17. Differentiate c(u) with respect to u.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2. Let n(m) = -m**2 - 4*m - 3. Let w be n(-2). Let o be r(w). What are the prime factors of (-3 - 11)\/(o\/(-6))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 2*m**2 + 3*m - 3. Let w(d) = d. Suppose -2*r + 10 = 3*r. Suppose -3*p = -r*p + 5*y - 21, 4*y - 16 = 0. Calculate p*n(h) - 3*w(h).\nAnswer: -2*h**3 - 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 611\/3 - 35435\/174. Let w = a + 167\/406. Let m = -8.3 + 8.2. What is the second smallest value in -3\/2, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3474, -6481, -9464, -12423, -15358, -18269?\nAnswer: -21156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + u**2 - u + 7. Let w be z(4). Suppose p - 2*i - 468 = -p, -10 = -5*i. Let a = w + p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 18 = -3. Suppose r - 55 = -t, -2*r = -w*t - 2*t - 117. Calculate the greatest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169065, 338212, 507359, 676506?\nAnswer: 845653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 5*m**2 + 24*m - 95. Let n be t(6). Suppose n = 5*d - 12, 0 = -5*q + 4*d + 20. Calculate the remainder when 25 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11791267?\nAnswer: 19, 179, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**2 - 2*i + 1. Let k be n(1). Suppose -2*r - k = -r. Let s = 8 + r. Calculate the smallest common multiple of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.6 * -0.5.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Suppose 0 = 4*k - 4*v - 100, -v - x = -6. Let s = 54 - k. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(45\/10))\/((-4336)\/480 + 9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 6*a - 21350. Let r be f(0). Let n = r + 512521\/24. What is the common denominator of n and 3\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/21))**(39\/5) assuming k is positive.\nAnswer: k**(299\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-13)\/(-30))\/13)\/((-8)\/20).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 7*h**2 + 4*h + 2. Let u be z(-3). Suppose -2*d - 2*s - 42 = 0, d - 5*s - 6 + 21 = 0. Let w = d + u. Sort 3, w, -1 in descending order.\nAnswer: w, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.78? (a) 3 (b) -10 (c) 2312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g - 2. Let o be x(-3). Let y be (o\/5)\/(2\/(-1)). Let b(z) = 24*z - 2. What is the tens digit of b(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.003 + -0.203. Let v = -4 - -2. Put v, f, -0.6 in descending order.\nAnswer: f, -0.6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let t be (3 - 8\/4)*1. Let q(p) = i*p**2 + t - 3 + 2. Let v(x) = 2*x. Give q(v(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577590 = -1151*z + 1216*z. What are the prime factors of z?\nAnswer: 2, 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 12. Let a be b(-4). Suppose -2*t + 20 = -a*i, 4*t - 2*i = t + 30. Let v = 3 - 1. Solve 0*o + t = v*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 5586280*u + 1560326211920.\nAnswer: 5*(u - 558628)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-1)\/(2 - 1)). Let u(m) be the first derivative of -5\/2*m**2 - 3*m + 7. Let l(y) = -y - 1. Give n*u(w) - 3*l(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k + 25*k + 182*k**2 - 173*k**2 - 23*k.\nAnswer: 9*k**2 - 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -824968 >= -824969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 1. Let l(p) = 4*p - 12. Let a(q) = -3*b(q) + l(q). Determine a(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13*l + 13 - 19*l - 13*l**2 + 14*l + 10*l - 2*l**3. Let v be w(-8). Let g(a) = 16*a**2 - 2*a + 1. Let r be g(2). Is r bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11 - 1 - (-31)\/((-310)\/(-409030))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 1234.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 576 or 33\/833?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/154)\/(-2*400\/(-28)).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**3 - 726168*r**2 = 0.\nAnswer: -242056, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66*o**3 + o**2 - 307 wrt o?\nAnswer: 198*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -4\/9, -89\/17094 in ascending order.\nAnswer: -4\/9, -2\/9, -89\/17094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**8)**(-33)*(k*k**4)**(15\/4))**(-15\/8) assuming k is positive.\nAnswer: k**(14715\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 143 = 4*q. What is the remainder when 339 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10735064 divided by 5367532\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*p + 30, 0*f = 2*f + 4*p + 14. Solve -3 = -2*d + 2*c - 5, 8 = -f*d + 4*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.508819ml?\nAnswer: 0.002508819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 7*d - 15. Calculate b(-12).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138548*s**5 + 5*s**2 + 4810 wrt s?\nAnswer: -8312880*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - 17*z**2 + 8*z**2 - 27*z**3.\nAnswer: -27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -17*n**2 - 4. Let d(g) = 16*g**2 + 3. Let o(p) = -4*d(p) - 3*r(p). Let c(k) be the second derivative of -k**3\/3 + 3*k. Calculate o(c(a)).\nAnswer: -52*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 9*j**6\/2 - 27*j**5 - 9*j**4\/2 + 82*j**3\/3 + 39*j**2\/2 + 5*j + 368. Let w(o) = 0. What is o?\nAnswer: -1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 2*k**2 - k**2 + (253*k - 161*k - 145*k)*(-2 + 3 + 0)*(-3 + 2*k + 3) - 5*k**2 + 3*k**2 + 0*k**2.\nAnswer: -109*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/11)*t**4*t**(-4)*t*t\/(t\/((t*t\/t**20)\/t))*t assuming t is positive.\nAnswer: t**(-185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.231, -39, 5, -10\/9 in increasing order.\nAnswer: -39, -3, -10\/9, 1.231, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*h + 11 - 81, -u + 35 = 4*h. Let w(g) = g. Let r(i) = -6*i. What is u*w(a) + 5*r(a)?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-253)\/(-115) + 12\/(-10). Which is the nearest to s? (a) -5 (b) -1\/8 (c) -3\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/7 (b) -2\/7 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56401469 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-621)\/6. Suppose 3*j - v = -0*j. Suppose -h + 2 + j = 0. Calculate the highest common divisor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p**2 + 6123*p + 16602. Determine g(615).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.147, -4\/9, -5, 0.2?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -14.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**4\/12 - 5*c**3\/6 + 237*c**2. Calculate g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -11*l**2 + 3\/50*l**6 - 8\/25*l**5 + 0 - 2\/525*l**7 + 8\/15*l**4 + 0*l**3 + 0*l. Solve s(r) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 15 = -18, 0 = -d + 5*c + 15. Sort 4, d, -1, -18 in increasing order.\nAnswer: -18, -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/((8\/(-6))\/(-2) - (-2338)\/(-501)). Which is the closest to 1\/4? (a) -45\/7 (b) 0.2 (c) w (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2304 and 49\/226004?\nAnswer: 130178304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 8*w - 3*w + 3*u, -2*w + 5 = -u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 33*y - 59. Let m(j) = j + 28. Let z be m(-11). What are the prime factors of b(z)?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707*f**2 - 1332*f**2 - 3*f + 3*f.\nAnswer: -2039*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 21) + -1 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -98\/2805 and 101\/2805.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5133879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in months?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.2 (c) -8 (d) -7 (e) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(4)*3*-1)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 + 1.28. Put 3, -3, w in increasing order.\nAnswer: -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -127*p + 451 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**2\/2 + 4*k + 66. Let g(q) = -q + 4. Let b be g(0). Let y(f) = -3*f - 2*f + 2*f + 11. What is b*y(r) - 11*l(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x + 6. Let l(r) = -r**2 - 19*r - 13. Let c(y) = -6*l(y) - 13*s(y). What is the second derivative of c(a) wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 2*h**2 - 1. Let c be (10*(-8)\/(-20))\/(-2). Let s(n) = -10*n**3 - 23*n**2 + 675*n - 3364. Let w(b) = c*s(b) - 22*l(b). Solve w(g) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/2 - 3*z**4\/2 + 7*z**3\/2 + 11*z**2\/2 - 3*z - 4 = 0. Calculate z.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*f - 2449, f + 3331 - 4555 = y. Calculate the remainder when f is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16420404 to the nearest integer?\nAnswer: 4052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 133 - 409. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + d = -568, d + 3*d = -5*x + 975. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.353688 decades in millennia?\nAnswer: 0.01353688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340132919 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 10 + 15*v**2 - 75*v**3 - 2 + 48*v + 3 + 1 = 0?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 533 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d06 (base 14) to base 2.\nAnswer: -100111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9671*m**2. Let p(w) = w. Calculate p(u(c)).\nAnswer: 9671*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 210061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 16*n - 6. Let j(y) = -3*y + 1. Calculate -7*j(o) - 2*p(o).\nAnswer: -11*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12280.26567 rounded to zero decimal places?\nAnswer: 12280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 4)*36\/315. Which is the closest to 0.1? (a) -1 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -57*g + 2602. Let f(w) = 49*w - 2604. Determine 7*f(t) + 6*n(t).\nAnswer: t - 2616","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.6 from -858422696.\nAnswer: -858422713.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12606 and 20628.\nAnswer: 226908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -825 + 824.995534. What is a rounded to four dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61016 divided by -15254?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4*p, -2*p - 3*y - 10 = -5*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233 - 312232?\nAnswer: -311444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-8 + 9 - 6) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 41*v - 11*v**2 + 2*v + 22 + 9*v**2 = 0. Calculate v.\nAnswer: -1\/2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -11, 3, 5, -1087, -4.\nAnswer: -1087, -11, -4, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 613849 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6645 and 130.\nAnswer: 172770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -116778 * -0.1\nAnswer: 11677.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6\/91)\/(-1 + -11 - (-14027)\/1183)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 (base 13) in base 4?\nAnswer: 30131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299335547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + ((sqrt(88)*-3*3)\/sqrt(2))\/((sqrt(484) + sqrt(484)*-3 - sqrt(484))*-6 + sqrt(484))).\nAnswer: 27*sqrt(11)\/209 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/sqrt(5))\/sqrt(11) - sqrt(2)) + ((5 + sqrt(32))**2 - sqrt(2) - sqrt(2)).\nAnswer: 38*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68798513?\nAnswer: 7, 89, 110431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s - 26. Suppose 1 = 3*y + 4, 0 = -f + 5*y + 19. What is the tens digit of g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.01539.\nAnswer: 0.06156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*c + 1 = 0, 14*c = -5*r + 9*c - 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 15*d + 2. What is the least common multiple of 9 and f(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 15*j**2 - 15*j - 15. Calculate the lowest common multiple of 240 and u(-15).\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -5\/3, -0.07, -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -5, -0.00522, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 18*c - 5. What is the remainder when s(16) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 16, 1\/3, 3 in decreasing order.\nAnswer: 16, 3, 1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 12. Suppose m + 5*y - z = 0, -5*m + 2*y = -y - 53. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033109716 to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -290 + 295. Which is the biggest value? (a) 2 (b) -11 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 681449413 to the nearest integer?\nAnswer: 26105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) 0.6 (c) 1090\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23.304 * 2.689\nAnswer: -62.664456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2020)\/24240)\/((2\/1)\/264)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*x**6 + 6*x**5 - x**3 + 2*x**2 + x - 172 wrt x?\nAnswer: 17520*x**3 + 360*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-7)))\/x)**(-2\/161) assuming x is positive.\nAnswer: x**(-12\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.61.\nAnswer: 0.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 7*a + 9*a + 3*a**4 + (2*a**3 + 0*a**3 - 3*a**3)*(-9*a - a + 2*a).\nAnswer: 13*a**4 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 72\/15*205\/123\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5103, 6078, 7015, 7914, 8775, 9598, 10383?\n\"Answer: -19*u**2 + 1032*u + 4090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 0.02, -0.1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1326 and 63804.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644*u + 4064574 + 12612942 = -4748364. What is the ten thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/5*(144 + 1). Let t be (-6)\/15*1*-5 - 118. Are t and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*o - 9. Suppose -o*k - 2 = 0, 3*d - 2*k = k + 27. Calculate the lowest common multiple of 5 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 42927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3091313\/4121740 + -2\/1030435. Determine h so that -3\/8*h**2 - q*h + 3 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(1539) + 0 + sqrt(1539) - sqrt(1539))**2 - sqrt(19)) + (sqrt(19) - (2*sqrt(171))\/sqrt(9))).\nAnswer: -4*sqrt(19) + 3078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 7. Let o be z(13). Let r(a) = 107*a - 2. Let k be r(o). What is k rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -29. Let z = -42 + r. Let n(l) = 2*l - 9. What is the remainder when z is divided by n(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c - 4. Put c, -18, 3 in increasing order.\nAnswer: -18, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 941569 - 2*w**2 + 4*w**2 - 3*w**2 - 941569.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26940.4 and 0.3.\nAnswer: -8082.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6094 = 128*h - 1102 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 + 130. Let j be -2 + (1 - (-4 - f)) - 0. Is (j*-2)\/(-3 + 5) - -480 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 11 + 68)*(-2*w + 2*w**3 + 2*w) - 5*w**3 + 12*w**3 - 3*w**3 + (-4*w + 3*w + 2*w)*(22*w**2 - 15*w + 15*w).\nAnswer: 92*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 224200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 169753780 a multiple of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 13. Let s be v(7). Let y be 93\/(-36) - (s - -3). Let u = y - -16\/3. What is the common denominator of 119\/10 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-5 - (0 + -6 + 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 + 103. Which is the third biggest value? (a) -2 (b) n (c) -3\/4 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 754 + -753. Let k be (-16)\/5 + h\/5 + -4. Which is smaller: k or -47\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 84 + 4065. Suppose -o + 83 = -k. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345948349 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -a545d (base 15) to base 10\nAnswer: -524113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -215227266 smaller than -215227265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1446152*3.\nAnswer: 4338456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303331 (base 4) to base 10.\nAnswer: -7421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a + 0*a - 2 + 3*a**2 - 9*a. Let y(w) = -w**2 + w + 1. Let t(r) = p(r) + 2*y(r). Is 14 a factor of t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 18181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.035361 and 10.316175.\nAnswer: 10.280814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msvvvmvsvvvs. What is prob of picking 3 s and 1 v?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -246 - -51?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2821 + 300*s**2 - 2821.\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 7 = 3*q - 1, 4*c = -12. Let m be ((-10)\/2 - q)\/2. Let b(y) = -4*y - 6. Determine b(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7676299.\nAnswer: 17, 451547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 25, -450*q = -454*q - 90*l - 434 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3 - 42499*w**2\/5 - 1700*w = 0.\nAnswer: -1\/5, 0, 8500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**4\/24 - 5*j**3\/3 + 7*j**2. Let n be r(-22). Suppose 4*u - 32 = -n. What is the remainder when 14 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 7*n + 2*n)*(-1 + 0 - 5)*(2 - 2 + n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = -t, t = -4*a - 17. What is the common denominator of (a\/3)\/(7\/126) and 23\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -126, -190, -254, -318, -382?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a factor of 1419989850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 221843.2 rounded to the nearest one hundred?\nAnswer: 221800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**13\/(h\/h**(1\/7))*(h**(-3))**(-7\/6) assuming h is positive.\nAnswer: h**(219\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 5*p**2\/3 - 13*p\/3 + 7\/3.\nAnswer: (p - 1)**2*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 21*v - 19*v + 32 = 0, -8*u + 2*u + v = -3*u - 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 1807662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 46400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**4\/12 + 13*p**3\/3 - 11*p**2 + 48*p - 49. Let h(z) be the first derivative of m(z). Is 14 a factor of h(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + u. Suppose 2*l + 30 = 4*w + 6, 2*w = 2*l + 14. Suppose 3*p + 3 = -3*s, 7*p - 4*p + w = -5*s. Let d be v(p). Solve d = 5*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -202*c + 208*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1042*c + 24990. Calculate q(-24).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302311 (base 4) in base 14?\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 961496 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365131, 730271, 1095411, 1460551?\nAnswer: 1825691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -35*m**2 + 2*m**2 + 24*m**2 + 13*m**2 - 8. Let w(v) = 8*v. Calculate w(x(u)).\nAnswer: 32*u**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6*(-2)\/(-16))\/((-15)\/(-100)). Solve -12*i = -7*i + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -38*i - 4328. Let w be n(-121). What is the greatest common factor of 25785 and w?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -238158 + 1805?\nAnswer: -236253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -431. Suppose 5*p + c = 9*p. What are the prime factors of p?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.5*-28.668\nAnswer: 243.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -45.4. Let i = n - -5. Let g = i - -0.4. Which is the third biggest value? (a) -2 (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.0434 rounded to 1 decimal place?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 38 + 540*x - 7)*(9*x - 9*x**2 - 9*x).\nAnswer: -4860*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -365, -499, -627, -755, -889?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -446, -571, -678, -761?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s + 1\/2*s**2 - 2\/3*s**3 + 13\/4*s**4 + 5. What is the remainder when x(1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-5)\/(-3) + (-4824)\/27. Let b = -171 - n. Solve -27 - 1 = -b*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1430470 is divided by 7324?\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -24, 7*y - 2*g - 7*g - 77 = y + 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5962, -11923, -17884, -23845, -29806, -35767?\n\"Answer: -5961*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 5. Let g be r(9). What is the third derivative of -3*u**2 + u**2 + g*u**5 + 2*u**5 - 4*u**5 wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 8) to base 9.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 570346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5 - 13*y**4 - 3*y**3 + 41*y**2 - 26*y = 0.\nAnswer: -2, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23160251?\nAnswer: 23160251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b**2 - 3. Does 69 divide k(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 5:33 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 3*j. Suppose 3 - 16 = -b + j*y, b = 2*y + 7. What is the least common multiple of b and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -88*f + 736. Calculate the smallest common multiple of 78 and o(6).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306814 is divided by 8711.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -18662*j**2. Let d(f) = -2*f. Determine x(d(y)).\nAnswer: -74648*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 1 - 2)*-7. Let b(s) = -s**3 - 6*s**2 + 10*s + 6. Give b(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10590*0.034.\nAnswer: 360.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Let x(m) = -m**3 + 2*m**2 + m + 3. Let h be x(g). Let d(f) be the third derivative of -f**4\/24 - 5*f**3\/6 - f**2. Give d(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 141. Let k = d + 125. 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: Let g be (-1110)\/12 - 1\/(-2). Let o = g + 145. What is the remainder when o is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.25 (c) 1\/20934 (d) -0.2 (e) -2 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17030857?\nAnswer: 2441, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Let i(d) = -3 + n*d**2 + d**2 - 2*d**2 - 8*d. Determine i(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 112?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2. Let y(r) be the third derivative of r**4\/8 - 3*r**2. Calculate f(y(t)).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 take away 3.04?\nAnswer: -116.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -10 - 10. Suppose z + z + 2*v = 0, 0 = y*z - 2*v - 35. What is the least common multiple of z and (1 + (-4)\/3)*-6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/7 + 12*m**4\/7 + 16*m**3\/7 - 96*m**2\/7 - 32*m\/7 + 192\/7 = 0.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3369 - 9469. Suppose -4*p = -3*r - 6, 0 = -5*p - 0*r - 3*r - 6. Suppose -o - n = -p*o. Round o to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -876 - 1831 = -5*a - g, -2*a + 1072 = -5*g. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705 = 39*v + 198 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -9*y + 14*y, -5*y + 20 = -5*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2368750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 + 3*n**2 + 4*n + 5. Let j(k) = k + 1. Give h(c) - 4*j(c).\nAnswer: -3*c**3 + 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/2*-5 - (6 - 193)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 354\/7 (b) 0 (c) 0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89954?\nAnswer: 2, 41, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22457331 is divided by 1727486?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 125. Let a(x) = 24*x - 625. Let o(z) = a(z) + 5*v(z). Let j(l) = -27*l**2. What is j(o(p))?\nAnswer: -22707*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 42\/391 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*y = -6430481 + 421723 - 470022. List the prime factors of y.\nAnswer: 7, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/9 (b) -2\/17 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6183244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**3 - 4*k**2 + 4*k. Let b(o) = o**2 - o. Let r = 41 + -39. Suppose r*z - 2*f = 4 + 2, 0 = z - 2*f - 7. Give z*c(l) - 4*b(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) - ((-215)\/20 + -1). Suppose r = c + 2*c, 4*s - 76 = -c. Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 9\/(-15) - (-2261)\/85. What is the highest common divisor of 325 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8)*4\/(-14)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.77707um to kilometers.\nAnswer: 0.00000002077707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.97 + 0.03. Let s = y + -12.6. What is the nearest to 0 in 5, -3\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*l - 12 - 55*l + 36 wrt l.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*j - 2 + 20, -5*j + 4*v + 18 = 0. What is the derivative of j*i**2 - 104 + 2*i**2 - 4*i**2 - 14*i**4 + 21*i**4 wrt i?\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b6b (base 13) in base 8?\nAnswer: -3634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 17*m**2\/2 + 151*m + 520. Determine q(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3)*l**(-7\/2)\/l*l)\/(l**(7\/5)*l**(-13)) assuming l is positive.\nAnswer: l**(283\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -922\/33 greater than or equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1305*g - 1302*g - 1301*g + 169 + 5211*g - 1300*g in the form k + m*g and give k.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000037956 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4161, 16556, 37183, 66036, 103109, 148396, 201891?\n\"Answer: -z**3 + 4122*z**2 + 36*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4*j - 165*h**4 + 9*h**2 + 4*j wrt h?\nAnswer: 48*h*j - 3960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9 = -3*q - 97, -3*q + 5*i - 38 = 0. Let a be 3 - (-4 + 9) - (-9)\/q. Do -2 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**6\/360 + s**5\/30 + 8*s**3 + 12*s. Let h(p) be the second derivative of u(p). Give h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 1. Let n be (4 + -4)\/(-3) + 11. Let y(i) = -i**2 + n + 17 - 31. Give -3*q(p) - y(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/21251514 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 42267?\nAnswer: -2\/42267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4447 = -10*j + 4037 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1302*g + 1453.\nAnswer: -1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248256637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*m**3 + 29*m**3 + 19*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12904 (base 15) to base 3.\nAnswer: -10000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-15) + (-4)\/(-6). Let b be (0 - -6) + o + -2. Suppose -b*j = v + 10, 2*v + 5*j = 3*v - 26. Calculate the highest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163 or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -215*m + 16. Let n be h(1). Let v = n - -201. Sort v, 1, -147.\nAnswer: -147, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 59430.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142174063?\nAnswer: 23, 751, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1388 to three decimal places.\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*l + 22 = 5*u, 4*l = -4*u + 16. Are -6\/29 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 3515?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 3, 5\/4, 15?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 22. Calculate u(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2 + 16425*o + 16422 = 0.\nAnswer: -5474, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27060735*c**4*x + 89*c**2*x + c**2 - 163*c - 87*x wrt c.\nAnswer: -649457640*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 11*t**2 - t + 1. Let g be k(-11). Suppose -3*b + 4*y - g = 2*b, -2*y - 16 = 3*b. Is b > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 4*d + 8. Suppose -3*r = 2*l - r - 52, 0 = 5*l + 3*r - 126. Suppose -18 = -3*h + 5*h + 2*o, -3*h - l = 2*o. Calculate k(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/416, -54, -56?\nAnswer: -1\/416","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + -0.0099942. What is t rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -24*k + 78. Solve -5*a - 3 = -k*m, 8*a - m + 1 = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69117, -138226, -207337, -276450, -345565?\nAnswer: -414682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82425465 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -35030*b + 16. Determine h(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 + 448*a**2 + 1214*a + 295. Determine m(152).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2714 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:35 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(80))*-5*3 + (-1*sqrt(80) + -1 - (2*(sqrt(125) + sqrt(125) + 1)**2 - sqrt(125))).\nAnswer: -1003 - 99*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2707 + 2707. Solve 16*m + 6*m + 44 = t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 - 32\/12. Suppose -2*d + 7 = 5*d. Let j be 18 + -17 - d*4. What is the nearest to j in f, -0.3, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578014654.\nAnswer: 2, 2791, 282697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*f + 72 - 48, -q - 2*f = -9. Let m(o) = 7*o**2 + o + 2. Let d(c) = 14*c**2 + 3*c + 5. Give q*m(z) - 2*d(z).\nAnswer: 7*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -76. Let o(d) = 2*d + 76. Let t(l) = -4*h(l) - 5*o(l). Let i be t(-8). Solve -q = -i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-14 - -27)) + 6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-6)\/(-36))\/(39\/18)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8)*x**5*(x**(1\/2)\/x*x)**(-39) assuming x is positive.\nAnswer: x**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.6 - -31. Let x = 0.6 + c. Let v = -17.2 + x. What is the second biggest value in 2\/9, 0.1, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fufcffyyccfffyyy. Give prob of sequence yu.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23870*n**3 + 23869*n**3 - 3*n + 5*n - 2*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1710 and 4.\nAnswer: -6840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -125*x + 1008. Let y be l(4). Sort 0.3, 2, y in descending order.\nAnswer: y, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, and 2 m when four letters picked without replacement from spsesmspmup?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*w**2 - 1 + 19*w**2 - 39*w**2 in the form h*w + p*w**2 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 95.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 1386*o**2 - 1377*o + 2766.\nAnswer: -3*(o - 1)*(o + 2)*(o + 461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -5.06147.\nAnswer: -3.036882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7413 is divided by 114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 55 + 188. Solve -15*u = 26 + x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -288\/11. Sort 1, h, 0, -3.\nAnswer: -3, h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 4. Let w(q) = 14*q - 13. Let g(h) = -7*v(h) + 2*w(h). Let n be g(0). Let t(j) = 6*j - 2. Determine t(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(275) - (-5 + sqrt(275) + -1*sqrt(275)))*-3)**2 + 5.\nAnswer: 16200*sqrt(11) + 97205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -15. Let o be l*6*(-1)\/(-3). Differentiate -6*j + j - 8*j + o*j + 7 with respect to j.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 35*t**2 + 10*t - 18. Let y be x(6). Let b = -50803\/39 + y. Let p = 4\/13 + b. What is the closest to -1 in p, -2\/3, 1\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exekeueeexxkxxk. Give prob of sequence exe.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) - 1*sqrt(187)*2) - sqrt(187))\/(sqrt(33)\/(sqrt(9)\/sqrt(3))) - ((sqrt(1377) + -3)*3 + 4).\nAnswer: -28*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s)**23*s*s**(-1)\/s*s**(2\/11) assuming s is positive.\nAnswer: s**(244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 11. Let d = 12 + n. Suppose -5*k + k = 5*f + 15, 5*f + 15 = d*k. Solve 0*i - 2*i + 4 = k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 1, n: 1, d: 1, u: 1}. What is prob of sequence du?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 41*z**3 + 2*z - 3 - 14*z**3.\nAnswer: 27*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q**2 - 5*q + 24. Let c(d) = -15*d**2 - 9*d + 49. Let j(v) = 6*c(v) - 13*f(v). What is the units digit of j(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - p**3 + 3*p**2 - 3*p + 2*p + 3*p**3 + 2 + 5*p**4 as q*p**4 + d + h*p**3 + l*p**2 + b*p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11157 + 13229. Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 6*m. Let d be l(4). Let y(s) be the second derivative of s**4\/12 - s**3\/3 - 2*s**2 + 4*s + 3. Is 16 a factor of y(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 13*a - 17. Let z be f(-11). Solve i - 6 = 4*i - 5*d, 2 = -i + z*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26838 = -61*i + 26777 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-630)\/60)\/((-4)\/448)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067743011 to 4 decimal places.\nAnswer: 0.0677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2060924*o**3 - 154*o**2 + 2060930*o**3 - 255*o**2.\nAnswer: 6*o**3 - 409*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3523.976 - 3524. Sort 0.5, l, -2\/9, -1.\nAnswer: -1, -2\/9, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12541 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1124.166 (b) 2\/15 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 9 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7247 = 482*g - 6313 + 9670 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 43*d = -46 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02504712062 rounded to 5 decimal places?\nAnswer: -0.02505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 30*v + 54. Let s be h(6). Solve 0 = -18*z - s*z - 180 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:33 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4))**(-4\/15))**(13\/7)\/((y\/(y*y*y\/((y**(-16)*y)\/y*y)))\/(y*y**0*y))**(-2\/109) assuming y is positive.\nAnswer: y**(18682\/11445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 161269427*i**4*v - 29*v - 1067433 wrt i?\nAnswer: 645077708*i**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24414 - -14?\nAnswer: -24400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -132*o + 26 + 152. Solve 3*f + 10 = -q - o, q - 13 = 2*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*q - 3*m, 8 = 2*m - 4*m. Suppose -q = -4*p + 4*l + 3, 3*l + 3 = 5*p. Solve 4*y = -p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + u - 1. Let g(w) = 7*w**2 - 6*w + 6. Let n(o) = 6*c(o) + g(o). Let s(b) = b. Let j(a) = -a. Let i(f) = -2*j(f) - 3*s(f). What is i(n(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 c when four letters picked without replacement from cmmmcmc.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 6. Suppose -4*j + c + 2 = 18, 2*j - c + 12 = 0. Let a(y) = -16*y - 31. Give j*a(g) - 11*k(g).\nAnswer: -g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 112*p**3 + 7*p**2 - 3*p + 3. Let c(a) = -1358*a**3 - 84*a**2 + 35*a - 35. What is -3*c(g) - 35*r(g)?\nAnswer: 154*g**3 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 49*u + 2*u**2 - 50*u + (2 - 2 - 2)*(-u**2 - 3*u**2 + 2*u**2).\nAnswer: 6*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 11 (c) -35007\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 27*u + 137. Give m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) + 2 + 3).\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 8*k - 6*k + 8, 2*k + 7 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*v - 3, -m + 2*v + 21 = -3*v. Suppose -3*h - 450 = -m*h. Round h to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**2 + 4*b - 30. Let s(u) = 5*u**2 - 3*u + 29. Calculate -3*o(n) - 4*s(n).\nAnswer: -2*n**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38350, 38327, 38304?\nAnswer: 38281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4621.4 and 0.2.\nAnswer: -924.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, e: 2, g: 6, c: 3, u: 3}. Give prob of picking 1 u, 1 j, 1 e, and 1 g.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/1600 and ((-3720)\/(-150))\/((-32)\/(-12)).\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 17. Suppose -x + p*r + 4 = 0, 2*x + 6*r - 2*r = 20. What is the second derivative of -4*v + 2*v - x*v**5 - v + 10*v wrt v?\nAnswer: -160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 392, 847, 1348, 1823?\nAnswer: 2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 16 = -g, -1 = -4*g - 9. Suppose -3*y + x = 0, -4*l - 12*y + 15*y = -234. Calculate the highest common factor of l and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-284)\/8*-278 - (29 + -32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104125433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + (23 - (22 + -25)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2048204, 4096411, 6144618, 8192825?\nAnswer: 10241032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjndddjjdd. Give prob of sequence jjn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -3\/7, -12064203?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -90.\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440)*-1)\/(sqrt(2) + (sqrt(22) - sqrt(66)\/sqrt(3))\/sqrt(11)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 + 14391*f**4 + 9097764*f**3 + 1563316128*f**2 + 4626479808*f + 3072247056 = 0. What is f?\nAnswer: -4086, -354, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -168.9286 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3959*o**2 + 5*o - 1. Let s be b(-5). Let m be (2 - s) + (6 - 9). What is m rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*g + 18*g - 5*l - 1, 0*l - 1 = l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - r**2. Let s(u) = u**3 + 5*u**2 - u - 2. Let w(t) = -2*m(t) - s(t). Let y be w(2). Is y smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (32\/24 - 78\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 12*d**4 - 22*d**3 + 7*d**3 + 15*d**2 - 3 + 6*d**3 = 0 for d.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u + 442. Does 7 divide f(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 + -5.\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/6 + 59*p**3\/2 + 1320*p**2 + 3872*p\/3.\nAnswer: p*(p + 1)*(p + 88)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9495697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0039983434 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/271660 and 12\/3796015?\nAnswer: 713650820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lelnnx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40 and 0.1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as 1546\/405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13bb - -1893?\nAnswer: 4c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuvuxoxu. Give prob of picking 3 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1432 and 716?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014 a factor of 6567929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 11:33 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-3) + -5 + 0. Sort 4, m, 3, -2 in increasing order.\nAnswer: m, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-15))\/((-8)\/(-24)))\/(69\/(-75)*-5).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-21)*(-9)\/54*-14*-9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p + 7. Let i be (-2)\/3 - (-22)\/6. Suppose -2*t - 42 + 7 = 5*u, i*t - u + 10 = 0. What are the prime factors of z(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -1\/120*h**5 - 1\/12*h**4 + 10*h - 11\/6*h**3 + 0*h**2 + 0. Let p(i) be the second derivative of z(i). Determine p(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34158578 is divided by 4151?\nAnswer: 4150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/528 and -91\/1496.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k + 187. Give v(0).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 176, -2, 0 in increasing order.\nAnswer: -5, -2, 0, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 27. Solve 0 = -0*b + v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose 6 - 5 = -11*u - 21. Put 1, u, d, 0 in decreasing order.\nAnswer: d, 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49477.51mg?\nAnswer: 49477510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 582 + -582.598. Let f = -0.339 - s. What is f rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 11 = 2*t. Suppose -5*f - 3 = -t, 3*p + f = 167. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261 by 30.\nAnswer: -87\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -8.1 (c) -930 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q = -19*q - 4*x - 10, 10 = -q - 3*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzzvzzxx. Give prob of sequence zvvx.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - m + 14 = 0, 3*m = w + 2*w - 3. Calculate the common denominator of -89\/64 and w\/(-32)*-92 + -2.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 - 8*d\/5 - 24\/5.\nAnswer: 2*(d - 6)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + m + 276, 16*m = -5*z + 11*m - 260. Let n = -17.1 - -17. Which is the closest to n? (a) 5 (b) z (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(2\/(-12)). Let s be 0\/j + 1 - -5. Calculate the highest common factor of s and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/(-1150))\/(132\/12100).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (26 - -28 - 41) + 42\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 + -107.5. Let d = -3.5 + h. Which is the closest to d? (a) -0.1 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 - 2*n**4 + 2*n**4 + (0*n - n + 0*n)*(n**3 + 0*n**3 - 3*n**3) + 8*n**4 - 5*n**4 + 2*n**4 to m + k*n**3 + x*n + f*n**4 + y*n**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -26, -438.\nAnswer: -438, -26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3258.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -47*u + 0 + 0*u**3 + 0*u**2 - 1\/6*u**4. Let m(l) = 47*l**2. Determine y(m(d)).\nAnswer: -4418*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/161 or 1?\nAnswer: -13\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6651 - -7868. Solve 7*m + 1203 = c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from vomudvtudmooddv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -518 + 583. Are o and 61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10835380*g**3 + 903*g - 26603.\nAnswer: -65012280*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 7*o + 284 + 876 = 4*q - 52*o, -o + 2 = 28 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1736.\nAnswer: 1\/1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*j - 2173 + 2173)*(-27*j**2 + 8*j**2 + 5*j**2).\nAnswer: 1008*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 726, 2920, 6576, 11694?\nAnswer: 18274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203865 by -681.\nAnswer: 67955\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -602524, -1205046, -1807568, -2410090, -3012612?\nAnswer: -3615134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38403*i**4 + i**3 + 2*i**2 + 98574*i wrt i.\nAnswer: -460836*i**2 + 6*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 95 + 20 + 105 + -269\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.85 + -0.15. Let z be ((-2)\/10)\/((-21)\/42). Is i >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:50 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 83278 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: What is next in -54, 0, 80, 180, 294, 416, 540, 660?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 81\/23 (b) 2\/9 (c) -31 (d) -1\/4 (e) 0 (f) 5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/((-756)\/2205)*2*1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*y = -0*y - 13, -14 = -4*v + 2*y. Suppose -v*h - 9 = -0*h. Is h\/(-12) + (-59)\/(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*j + 206*j - 631*j + 210*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3626238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 10*f**2 + 329*f - 38. Let p be t(-14). Solve p*g = -3*g - 63 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75.51343 litres?\nAnswer: 75513.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1148, -1056, -970, -896, -840, -808, -806, -840?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + 1 - (5 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1471692181 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, r: 11}. What is prob of sequence hrh?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h\/h**(-6))))\/h**9*(h\/(h*h**(-8)\/h))\/h**(-3) assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 1151*l**2 + 3 + 2526*l**2.\nAnswer: 1375*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 37*i + 143. Is h(19) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144063711 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181115 - -1630034\/9. Let u be (-25)\/(-4) - 1\/4. Suppose v + u = 3*k, 3*v + 4 = -k - 24. Which is the biggest value? (a) 3 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 638 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) -1 (b) -3\/2 (c) 319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) 5 (c) 0.81309 (d) 15 (e) 2 (f) 1 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 4*p**5 - 2 + (7 - 2*p**4 - 7)*(2 - 2 + 2*p) + (-2*p**2 - p + p)*(p**3 + p**3 + 0*p**3).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5667327 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 867, 2360, 4365, 6870, 9863?\nAnswer: 13332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/4)*g\/(g\/((g\/(g**6\/g))\/g)))\/(g**(-1\/3))**(-2\/23))**(-27) assuming g is positive.\nAnswer: g**(9387\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -15*r + 12. Solve 0 = -r*w - w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2481, 3241, 4001, 4761?\n\"Answer: 760*z + 1721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038710 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000078389 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.95 + -581.05. Let d = c - -587.99. Let f = d + 0.01. What is the second biggest value in f, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/33 + 1)\/(544\/(-2992)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 2*n + 3*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34694127728403 and 35.\nAnswer: 34694127728438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.6 + 8.6. Let i = -176.7 - -177. Let h = 0.6 - 0.4. Which is the nearest to i? (a) h (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -20. Let c = 30 + z. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 12*f**2 - 19*f - 62. Let x be u(-6). Is x - (1 + 1 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2388, 4776, 7164, 9552, 11940?\nAnswer: 14328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196625, 393274, 589923, 786572?\nAnswer: 983221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 6. Suppose 8*b + t = 13*b. What is the units digit of (3\/6 - b)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8 - 3*q**2 - 7*q + 10*q**2 + 6*q**2 + 5*q**2. Let h be n(6). Let u = h - 423. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 4. Let w = -8 - -8.4. What is the second biggest value in -1, f, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4475, -4, 495 in descending order.\nAnswer: 495, -4, -4475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = 0, 992 = 4*a + 2*r + 2*r. Suppose 0 = j - 4, 0*f = 4*f - 2*j - a. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53648?\nAnswer: 2, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30897*r*u + 3515*u - 5 with respect to r.\nAnswer: 30897*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - 9.48\nAnswer: -9.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 times -0.11?\nAnswer: -22.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x. Let m(h) = 22615*h**2. Calculate d(m(i)).\nAnswer: -45230*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2542 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2\/4 + 174640*a - 698565\/4.\nAnswer: 5*(a - 1)*(a + 139713)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4, -0.5, -35\/6, -5.\nAnswer: -35\/6, -5, -0.5, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2000 is divided by 347.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 7*x**4\/12 - 12*x + 2. Let u(r) = 37*r. What is f(u(c))?\nAnswer: 9583*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 4, -214, -5 in ascending order.\nAnswer: -214, -43, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*k - 167*k + 3*t + 34, 2*k + 4*t - 24 = 0. Suppose -816 = g - 2*g. Suppose 0*n + k*n - g = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -f + 6*f - 11, 5*n - 2*f = -1. Let p be ((n - 2) + 2)*0. Suppose p = -2*m + 2 + 2. Calculate the remainder when 5 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.769032 millilitres in litres?\nAnswer: 0.006769032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -92*n + 2215. Determine a(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*f + 3*f + 0)*(4*f**2 + 0*f**2 - f**2).\nAnswer: 3*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1207, -2448, -3689, -4930, -6171, -7412?\nAnswer: -8653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*s - 346 = 0, u + 4*s + 102 = 2*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2213751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 5*t - 0*t - 18, -5*t + 10 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872934351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 - (-1370)\/(-90). Let b be -116*(-2)\/(-5)*y\/12. Suppose -b = -19*v + 17*v. Calculate the remainder when 55 is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 58 = -6. Suppose 5*x - j = 108. Let b(d) = -4*d**3 - d**2 + 3*d + 4. Calculate the remainder when b(-3) is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**3\/5 + 667*x**2\/5 + 18504*x\/5 + 21627 = 0.\nAnswer: -89\/6, -9, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-15))\/((-1)\/(-5)). Let l(s) = -17*s + 1 + 17*s + 2*s**2. What is the units digit of l(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 + 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555958320 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 8. Let t(o) = 4*o - 7. Let h(k) = -4*p(k) + 5*t(k). Determine h(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179 + 200. Let y = m + -379. Solve 4*l - 23 = -y*l + 5*x, l - 3*x = 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = 0. Suppose -9*a + 4*a - 370 = g. Is (-2 + 4)*a\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3863 - -5520. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2156 and 413168?\nAnswer: 4544848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 61*d**2 + 392*d - 1504. Give r(4).\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**2 + 49*l**3 - 21*l**2 - 48*l**3 - 4*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m*m)**30 assuming m is positive.\nAnswer: m**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f - 23*f - 25*f - 3 + 1.\nAnswer: -70*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -470048 + 4?\nAnswer: -470044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 855\/1307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -36*m**2 + 184*m + 194. Give u(7).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12563 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**3 + 4*c**2 - 1. Let z be q(-1). Let i be 2 + (z\/(-15) - (-1)\/(-5)). Solve 5*f + 4 = -3*j - 5, -6 = i*j - 2*f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*q + 342 = 0. Let t = 62 - q. Solve 2*o = -n + 3, t*o = n + 2*o + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 1071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-35)\/10)\/7*(-18)\/(-585)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6980007 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t)**(-20)\/(t**(-8)*t*t*((t*t**3\/t)\/t)\/t) assuming t is positive.\nAnswer: t**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 28.\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-36)*3*4. Suppose -d*t = -3*o + o + 144, 2*t - o + 57 = 0. Find the common denominator of (-1 - 58\/t)*25 and 47\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -3, 25, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 2)\/(1 + 0). Suppose -r = -t*r + 12. Let l = 30230 + -30232. Sort l, 0, r, -1 in increasing order.\nAnswer: l, -1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 3, q: 3, y: 1, d: 1}. Give prob of sequence qxcx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 318, 552, 834, 1164, 1542?\nAnswer: 1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kklklktkktkktltrkk. Give prob of picking 1 l and 1 t.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 143420160 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wepkpefeefejkefeek. What is prob of picking 2 e?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/23 (b) -27.104 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 82186*z**2 - 657392*z - 1314720.\nAnswer: -2*(z + 4)**2*(z + 41085)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 79296*w + 317693. Calculate v(-4).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {c: 2, t: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 6:22 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*k - 37, 5*k = 2*m - 40 + 9. Suppose t - 10 = -2*x, -2*t = 3*x + m*t - 15. Suppose -3*w + x*w - 6 = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose 8 - 4 = 4*b. Let z be b*((-17)\/(-6) - 3). Is k at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from ccdccccccdccccccccc.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from srrws?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -18*l + 9. Let k = -21 - -13. Let q be p(k). Suppose -g = -4*g + q. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9 - (12 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:43 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16574 less than -2?\nAnswer: -16576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*c - 6, t + 3*c - 4 = -8. Calculate the remainder when 12\/15*10\/4 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 3962*m**3 + 6356*m**2 + 3176*m.\nAnswer: -m*(m - 2)*(m + 794)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-10))\/2 + 21\/(-35). Suppose 5*w = -6*j + 2*j + 184, w - 5*j - 31 = o. Let x = w + -11. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -11) + 252\/4725*-185.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 112976438. Let k(q) = 2*q**2. Give i(k(y)).\nAnswer: -2*y**2 - 112976438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2328.991 millilitres to litres.\nAnswer: 2.328991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 61 (b) -2\/5 (c) -5 (d) -1\/1731\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1055 = 33*p - 1156. Calculate the remainder when p is divided by (-3 - -2)\/(1\/(-35)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 12 = -9*c. Suppose 0 = 5*d + 4*l + 164, -4*d - c*l = -l + 136. What is d rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/5, -2\/13, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 34480?\nAnswer: 103440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011011110110 (base 2) to base 10.\nAnswer: -9974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 46 + 19 - d - d. Let h be n(-22). Let k(x) = x**3 + 9*x**2 + 12*x - 2. Calculate the lowest common multiple of k(h) and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -525243 - -325243. Let m be (s\/6)\/((-3)\/90). Round m to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2232 * 5\nAnswer: -11160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Let p = 4.25 - o. Let z = p + -0.05. Which is the third biggest value? (a) z (b) -0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 37*h - 5846. What is x(158)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 9*q**2 + 8. Let k be h(9). Let o(s) = -3*s - 6*s + k*s. Let d(n) = 6*n. Determine d(o(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17430394.\nAnswer: 2, 43, 202679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 85. Find the first derivative of 22 - 54 + 55*g**k - 47 wrt g.\nAnswer: 220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((4\/8)\/1). Let t be 175 - -13 - 4\/c. Suppose -8*g = -3*g - t. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2441 + -14?\nAnswer: -2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-25)*1)\/(-1). Let z(s) be the first derivative of g*s**5 - 2*s + 3 + 0*s**3 + 0*s**4 + 0*s**2. Differentiate z(x) wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 9*l. Let f be c(-4). Solve 0 = -f*b - g - 21, 4*b + 5*g + 11 + 14 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.6 + 0.6. Let s = -13 - i. What is the nearest to 2\/7 in 1, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Suppose 0*r = -h*r + 26. Suppose 5*t = 3*g - 19, g + 0*t + 5*t - r = 0. Calculate the remainder when 23 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g + 4*p + 4 = 0, 0 = 3*g + 2*p - 14. Solve 5*d - 1 = w + 2*d, -g*w - 17 = d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 41 = -4. Let m = j + 10. Solve 2*i - 27 = 5*i - 3*z, i + m*z = 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-28))\/(((-32)\/28)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125806438 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine halves of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -89, -40.\nAnswer: -89, -40, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 11:04 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/15, -8, -2, 1\/9, 2210?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 30*j - 36. Let d be p(2). Let 118*r + 3*r**3 - 54 + d*r**2 - 272*r + 121*r = 0. What is r?\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126853442711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 + (-2)\/(-2) - (-22 - -25). Let b = 33601\/6 + -5588. What is the common denominator of b and o + 7 - 53\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -19 + 83 - (-48084)\/(-1068).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -5*n - 6, -3*n - 1 = 4*r + 19. Let d = -12 - -6. Let t = 11 + d. What is the nearest to -2\/5 in n, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-550)\/(-99)*3 + -17. Sort -19, 1\/2, y, -3\/233.\nAnswer: -19, y, -3\/233, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*y**2 + 4478*y**3 - 65*y**2 - 4587*y**3 wrt y.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*n)*(-n - 5*n + 5*n) + (-48*n + 81*n - 51*n)*(-3*n + n - 2*n)*(4 + 1 - 4 + (3 - 1 + 0)*(2 + 1 - 4)) as k*n + m*n**2 + z and give m.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 516585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Let i(r) be the third derivative of -1\/30*r**5 + 0*r + z*r**4 + 0 + r**2 + 1\/6*r**3. Differentiate i(c) wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150397106 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - c + 3*c + (-4 + 6 - 3)*(0 + 0 - 2*c) + 0*c - 3*c + 5*c - 12*c + 4*c - 5*c + 21*c + 7*c + 3*c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 + 2*z**2 + z - 3. Let x be s(1). Suppose -4*o + 2*m = -7*o + 1, -4*m = 3*o - x. Is o less than 3\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3, -7\/3, 19.2, 3, 28323?\nAnswer: 28323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*n + 4*s - 14, 5*n = 3*s - 4. Solve 0 = w - 0 + n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5098.95415 times 0.1?\nAnswer: -509.895415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = -2. Let a = 0.064 - 5.064. What is the second smallest value in 3\/2, a, o?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o. Let y = 2 + 7. Let n(g) = 9*g + 34*g - 39*g + 13*g**2. Let v(s) = -27*s**2 - 9*s. Let x(j) = y*n(j) + 4*v(j). What is u(x(b))?\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1945519 >= -1945518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 0.07, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3847 + -3805. Calculate the greatest common factor of k and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 18. Let b = -19 + 18. Let a(x) = 6*x**2 - x - 1. Let t be a(b). Is 6 a factor of y(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24453440013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.1 - 7.92. Round q to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69653483?\nAnswer: 47, 1481989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 5*z - 15. What is the remainder when 42 is divided by l(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 8\/9, 1\/25, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -4 + (-11 - -10) + -7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1373848, 0.09, -0.4 in decreasing order.\nAnswer: 0.09, -0.4, -1373848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 941702256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 64 (b) -2.9 (c) 3\/5 (d) -0.4 (e) -1\/34 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003643005132 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 101. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 20 + 3*m - 10 - 2*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 + 124\/5*i - 4\/5*i**2.\nAnswer: -4*(i - 30)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.051*356174\nAnswer: -18164.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, d: 3, v: 4, b: 1}. Give prob of sequence dm.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-386)\/(-13) + -30).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 24 = -18*a. Suppose w + 4*l - a + 2 = 0, -4*w = 4*l - 4. What is the biggest value in -1, w, 2\/5, -1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -27 - 15. Let p(d) = 2*d**3 + 6*d**2 - 11. Let o(z) = z**3 + 6*z**2 - 10. Let y(v) = -3*o(v) + 2*p(v). Determine y(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 3*x - 1\/4*x**4 + 0 + 0*x**2 + 0*x**3. Determine p so that s(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-34)*(-2)\/(-15)*-3\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20167 - -15262?\nAnswer: -4905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*f - 5. Suppose -3*u + f*y + 35 = -5*y, -u - 4*y = -40. What is the greatest common divisor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 10:57 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1071\/510 - 5\/50. Let i(q) be the third derivative of q**6\/40 + q**5\/60 + q**4\/12 + q**3\/6 - q**2. What is i(w)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*o**2*s*w + 9*o**2*s - 4*o**2*w - 10*o**2 - 189*o*s - s*w - 140*w + 21 wrt s.\nAnswer: 36*o**2*w + 9*o**2 - 189*o - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (4 - 4608\/620). Let d = 91\/62 - y. Find the common denominator of 33\/2 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13882?\nAnswer: 2, 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -18. Suppose -6*n + 9 = -15. Suppose -3*u + 8 = -n. Put p, 0, u in increasing order.\nAnswer: 0, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1895\/1353 + 86\/41. Calculate the common denominator of -16\/15 and z.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.5 + 42. Let v = 29 - n. Let r = -16 - -15.93. Which is the closest to -1\/3? (a) r (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1 - (36 + -33)) + -9 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) + -1*sqrt(3024)*-5 + sqrt(3024))\/(sqrt(315)\/sqrt(5) + -5*sqrt(175)).\nAnswer: -42*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 1 (b) 2 (c) -32168 (d) 1\/4 (e) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 5. Let m = -9 - -4. Let y = -11 - m. Is y != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (sqrt(1573)*1)**2 + -4 - (-3*(3*sqrt(104) + sqrt(104) + sqrt(104) - sqrt(104)))\/((sqrt(64)*-1)\/sqrt(8)).\nAnswer: -12*sqrt(13) + 1561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 39*n + 44. Let t(u) = 40*u - 44. Let l(g) = 6*t(g) + 4*v(g). Factor l(a).\nAnswer: 4*(a - 1)*(a + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 321*k**3 - 3*k + 5. What is the thousands digit of w(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10774 - 10759. Let i(w) be the third derivative of 0*w**3 - x*w**2 + 0*w + 0 - 11\/6*w**4. Let a(g) = g**2. Calculate a(i(y)).\nAnswer: 1936*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -372*r**4*w**2 + 228*r**4*w - r**2*w + 14521*r*w**2 wrt r?\nAnswer: -8928*r*w**2 + 5472*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - 2.94. Suppose -5*t - 131 = g - 143, -3 = -4*t - 3*g. What is the third smallest value in t, 1\/7, -7, c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5671222348 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25363, -50728, -76095, -101464, -126835?\nAnswer: -152208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.01488179*-0.4\nAnswer: -0.805952716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 44. Let o(v) be the second derivative of v**3\/6 + 17*v**2\/2 - 18*v. Let b be o(-9). Is r(b) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 16*z**2 - 2*z - 1. Let l be w(-1). Let u(m) = -11*m + 23. Let q(x) = -4*x + 8. Calculate l*q(o) - 6*u(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*v**3 - 6*f*v**2 + 76*f + 318*v**4 + 2*v**2 - 10*v wrt v.\nAnswer: -12*f*v - 12*f + 3816*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -132833*1\/(-15400). Let i = t - -1\/1925. Let a = -11329\/20 - -2239\/4. What is the common denominator of a and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3))**45)**29 assuming y is positive.\nAnswer: y**(-3915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 272, 5579?\nAnswer: 5579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1328 - -503. What are the prime factors of d?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1093937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10156?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - -3*1\/(-3). Let q be 4\/z + (-13767)\/(-36). Let m = 381 - q. What is the common denominator of -61\/20 and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158 and 2528?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -31.6 (c) -0.1 (d) 21 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**4\/60 - 157*n**3\/30 + 27*n. Let r(i) = 0. Calculate i.\nAnswer: -157, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 14207661 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6493, 5746, 5003, 4264, 3529?\n\"Answer: 2*m**2 - 753*m + 7244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*(-76)\/2. Calculate the greatest common factor of 171 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*t + 26, -29104*t = -29100*t - 3*f - 45 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l. Let r(w) = -w**3 - w**2 - w - 5. Let m be r(l). Let x = m + 7. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*a - 0*a. Let m = 135 + -133. Suppose -m*c - 9 = -j, -4*j + 18 = -2*j - 3*c. Solve -j = a*p + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 43. Let p be b(25). Suppose -p*a = -a - a. Suppose 0 = 5*z + q - 708, 5*z + a*z = 4*q + 693. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:27 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2034 + 64 = 2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 4*i**2 + 6*i - 4. Let p be 2*2\/(3\/3). What is the units digit of l(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 0.53. Let p = -0.25 - v. Let r = 0.46 + p. Which is bigger: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560783?\nAnswer: 560783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 7*b + 8. Let c be u(6). Let s be (4\/(16\/(-86)))\/(c\/16). Let q = -110 - s. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/15)*i\/i**(8\/7)*i)\/(((i**(1\/27)*i)\/i)\/i*i\/(i*i*i*i**(-2\/27)\/i)*i) assuming i is positive.\nAnswer: i**(886\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.34107 + 2406.95893. What is o rounded to the nearest 10?\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:25 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 smaller than -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 25*u**2 - 13*u - 505. Let n(f) = -f**2 + 2*f - 2. Let x(i) = -c(i) - 2*n(i). What is the first derivative of x(l) wrt l?\nAnswer: -46*l + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20100, 20104, 20110, 20118, 20128?\nAnswer: 20140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiiiiiiiiiiiiiiiai. Give prob of picking 2 a.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let i(w) = -3395102*w. Give a(i(r)).\nAnswer: -3395102*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2343 - -4989. Round x to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -21*f**3 - f**2 + 2*f + 3. Give i(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Let g = -149 - -163. Calculate the smallest common multiple of g and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1568 and -45494\/29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2394 = 2*r - 2742. Calculate the lowest common multiple of r and 493.\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7060190 to the nearest integer?\nAnswer: 2657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*c)*(-2 + 1 + 2) - 9 + 7*c + 9 + (-2*c + 0*c + 0*c)*(3 + 3 - 4) in the form r + a*c and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 24636 = -13*h + 9*h, -2*y + 6159 = h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-133)\/(-9) + 46\/(-1863)*-9. Solve -f*o = -18*o + 5*i - 5, -26 = 4*o + 3*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 202 + 386 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26720, 2\/3, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/11 - 24714*k**2\/11.\nAnswer: -2*k**2*(k + 12357)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1798, -1666, -1446, -1138?\n\"Answer: 44*h**2 - 1842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131422303 + -2?\nAnswer: -131422310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cicvqks. Give prob of picking 1 c, 1 i, 1 v, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m\/((m\/(((m**(-1\/2)*m*m)\/m)\/m))\/m))))**(2\/3)*m**(-6)\/(m\/m**(-1\/2))*((m*m**(2\/5))**(2\/35))**(-1\/30) assuming m is positive.\nAnswer: m**(-1959\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 14 = 2*i - 32, -3*u - i = -25. Suppose 4*w = 2*w. Suppose w = -u*r - 35 + 315. Calculate the remainder when r is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12*((-255)\/17 - -13)*-44490. What is the greatest common divisor of h and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7288109, 29152420, 65592937, 116609660, 182202589, 262371724, 357117065?\n\"Answer: 7288103*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let w(f) = f + 1. Let k(m) = -2*m**2 - 8 + 2*m**2 - m**2 - 8*m. Let v(l) = 3*k(l) + 24*w(l). Give r(v(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-14)*z)**10*z**(-1\/9)*z**(-28))**(-9) assuming z is positive.\nAnswer: z**1423","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y - 9 = 0. Let r(m) = -m**2 - 10*m + 3. Calculate r(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*f - 10*n + 6*n, -6*f - 3*n = -15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and 52584954.\nAnswer: 52584955.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5634 - 5638. Sort p, -1, 15 in ascending order.\nAnswer: p, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-14)\/294 - 0\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.533375425 rounded to two decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 4*s**4 - 2*s**3 - 4 - 8099*s - 3*s**2 + 4*s**2 + 8097*s to the form d*s**2 + x*s + p + f*s**3 + l*s**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23509, -20654, -17799?\n\"Answer: 2855*b - 26364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 21*j**2 + 17*j - 57. Let h be q(-20). Solve h*t - 19 = 2*p, 12*p - 14*p = 3*t + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/7 (b) -2\/11 (c) -19.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/150 and 47\/70.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 = -z + 10, 0 = 4*z - 20. Which is bigger: 1\/29 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(36)\/sqrt(3)) + -1 + -5 + -1*sqrt(19) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 241, 2, -1 in descending order.\nAnswer: 241, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -228*z**6 + 9*z**2 + 106*z**6 + 6*z**2 - z wrt z?\nAnswer: -14640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11876543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/7, -2, 4\/5, -6\/5, -5 in increasing order.\nAnswer: -5, -2, -6\/5, -5\/7, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0.4, -1, -79?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005778383 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 3, h: 1, w: 2, i: 6, e: 2}. What is prob of picking 2 f and 1 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 2\/7, 3, -1\/2 in decreasing order.\nAnswer: 58, 3, 2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s**2 + 58*s**2 - 36*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03337385721 to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1437817 to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c + 3*c)*(-2*c**4 + c**4 - c**4) + (c**3 + 4*c**2 - 4*c**2)*(-9*c - 6*c + 13*c**2 + 16*c).\nAnswer: 9*c**5 + c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -0.4, 0, 0.2 in ascending order.\nAnswer: -11, -0.4, 0, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125892275 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3206*w - 1272731. Determine a(397).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -5. Let r(h) = -9*h - 2. Calculate the remainder when 31 is divided by r(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 7*a**2 + 7*a - 4. Let r be d(6). Let g(q) = q**2 - 2. What are the prime factors of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57731 (base 8) to base 15.\nAnswer: 740c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/2 - 2*q. Let n(u) = -18 + 17 - 2*u + 1. Calculate n(x(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.03 (b) -3\/8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1468 and -37\/734?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + 7 + (-12 - (-5 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.885 - -45.0960441.\nAnswer: 45.9810441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3520 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46155 and 396859152.\nAnswer: 9231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p + 72 = 224 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + 1 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260\/(-12)*1416\/1180.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8\/3 (b) 7 (c) 3 (d) 2692 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**2. Let y(s) be the first derivative of -5*s**2\/2 - 5*s + 117. Calculate y(q(i)).\nAnswer: -40*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233a0e (base 16) to base 14.\nAnswer: -441498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-6)*o*o**(-2\/11))\/((o*o\/(o*(o*o**(-7)*o)\/o))\/o*o**2) assuming o is positive.\nAnswer: o**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 - 833*y - 12908*y + 11 - 1389*y.\nAnswer: -15130*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2\/17, 5, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54864?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Calculate the lowest common multiple of 22 and (-3)\/g*16\/(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3489, -6970, -10453, -13938, -17425, -20914, -24405?\nAnswer: -27898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -g - 260. Suppose 39*l - g*l = 104. Let n(x) = -x - 9. What is n(l)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 347 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3899.576um?\nAnswer: 0.000003899576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9908 is divided by 706.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 158b63 - -27?\nAnswer: 158b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -14. Let k(u) = 2*u - 4*u + 1138*u**3 + 0*u - 1137*u**3. Let j(a) = 5*a**3 - 9*a. Determine v*j(s) - 18*k(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 5, 2, 0.072, -4?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1644 - -18935. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.48 - 0.08. Which is the third biggest value? (a) -5 (b) k (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 46, -13, -402, 20, 6\/5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/(-1 + -2). Suppose j*n - 3 = -n. Suppose 0 = 3*h + 4*z - 11, -2*h - z + 6 = n*z. Let y(q) = q + 1. Determine y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1782*f - 5166*f + 1616*f + 1775*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 6:04 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511853596?\nAnswer: 2, 29, 43, 89, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1061, -7935, -26415, -62303, -121401, -209511, -332435?\n\"Answer: -967*v**3 - v**2 - 102*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 0*f + 2*f. Let z(q) be the second derivative of q**7\/840 + q**4\/4 - 2*q. Let g(i) be the third derivative of z(i). Calculate c(g(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69238113*o**3 - 14017745*o**2.\nAnswer: 415428678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153484 to the power of 1\/2, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from {e: 1, y: 3, w: 5, j: 1, k: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2\/5, -0.0695445, 143?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9770*8\/(-1056) + -74.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, -1, -0.2, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*n + 3502 = 3208 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 534474220 and 12575864?\nAnswer: 1068948440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from lvaaquclvvva.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 6*o**2 + 7. Let x be v(6). Suppose -4*m + 28 = x*s - 2*s, 3*m - 21 = 2*s. Let t = 80 + -24. Calculate the highest common divisor of m and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104\/21 + 30\/7. Let w = -6.6 - -6.7. What is the closest to o in 1\/3, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3387 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 15 + 252. Suppose 4*h - 53 = b. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g + 21. Let z(y) = y + 10. Let c be z(g). What are the prime factors of (57 - 3)*2\/c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 10 + 30. Let w be -7 + o - (24325 - 0). Is (-2)\/(-11) - w\/44 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22 + 24)*(2 - 4). Let t(b) = -9*b**2 + 69*b - 4. Let r(u) = -7*u**2 + 71*u - 3. Let i(w) = c*r(w) + 3*t(w). Let n(l) = -l. Give i(n(q)).\nAnswer: q**2 + 77*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1668 and 2393580?\nAnswer: 2393580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**8)\/l)**15*(l*l**(-3\/5)\/l)**(-20))**(-2\/35) assuming l is positive.\nAnswer: l**(216\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -910.0121 - -910. What is x rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159804969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000001 + -10000000?\nAnswer: 1110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2658, -5320, -7982, -10644, -13306, -15968?\n\"Answer: -2662*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001111210 (base 3) in base 13?\nAnswer: -1555b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249134?\nAnswer: 2, 124567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 3*k**4\/2 + 17*k - 1. Let a(g) = -4*g**2. Calculate r(a(p)).\nAnswer: 288*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*w**2 + 11*a**2*w + 2*a**2 + 949987*a*w**3 + 1091*a*w - 11*a - 3*w wrt w.\nAnswer: 4*a**2 + 5699922*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 - 153. Suppose 1 - 16 = -5*b. Let v(t) = 5*t + 3. Let y(z) = 14*z + 8. Calculate b*y(l) + o*v(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/8)\/((-141)\/(-1504)). Let s(w) be the first derivative of -43\/5*w**5 + 3*w + 0*w**n + 35 + 0*w**2 + 0*w**3. Find the first derivative of s(g) wrt g.\nAnswer: -172*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 8. Suppose w - 4*j + 4 = -o, -5*j + 41 = 2*w. Suppose 3*v = 2*v + w. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183190*t**2 + 61066*t**2 + 61067*t**2 + 75*t**3 + 61057*t**2.\nAnswer: 75*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1230 (b) 2\/5 (c) -2 (d) -32 (e) 10 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 15. Let o be i(11). Let c = o + 38. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1484 and 53376512.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4612451 to the nearest integer?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 8*i - 2*i)*(-1 + 12 - 24).\nAnswer: -91*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/111 and -23\/296?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-45)\/6 + (11 - 21). Solve 0 = -11*x + a*x + 36 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 479019668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4946 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: Let i = 0.21 + -18.21. Let k = 13.5 + i. What is k rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 323*t - 140*t + 3*t**2 - 11 - 183*t + 12*t**2.\nAnswer: 12*t**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -77.7?\nAnswer: 233.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z - 28. Let j(r) = 6*r - 29. Let h(v) = 3*g(v) - 4*j(v). Let w be h(5). Solve -5*m + 18 = w*k, -3*m + 5*k = 2*k + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*m - 9 - 37 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 0*o - 6*o + 9 + 0*o**2 - 2*o. Determine w(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o. Let j(t) = -24*t**2 - 14*t**2 - 39*t**2. Calculate j(u(r)).\nAnswer: -308*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3410844 divided by -3.\nAnswer: 1136948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*l + 1084 = 838*l. Factor -3 - 1\/3*o**l + 2*o.\nAnswer: -(o - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17511015.\nAnswer: 3, 5, 251, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -24876 (b) -2\/11 (c) 137 (d) 0.6 (e) -5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6856 + 13713\/2. Put q, 8, 5, -0.02 in ascending order.\nAnswer: -0.02, q, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/14*970\/3880.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 9 + 4*a)*(3*a**2 - 2*a**2 - 2*a**2) - 3 - 2 - 3*a**3 + 4*a**3 to the form i*a + p*a**2 + o + q*a**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 42, 4 in ascending order.\nAnswer: -4, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = v - z, -5*v + 0*v + 37 = -4*z. Let m(u) be the third derivative of -u**6\/120 + u**5\/12 - 2*u**3\/3 - u**2. Give m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**3*u))\/(u\/(u\/(u**4\/u))))\/(u**(-1\/4))**15*u**(2\/19)*u\/u**1*u*(u*u**(-1\/7))\/u**6 assuming u is positive.\nAnswer: u**(-3877\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3 (c) 0.1 (d) -0.4 (e) -15\/2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(637)*2 - (sqrt(637) - (1*sqrt(637) + sqrt(637)))*2) + -5 + -2*((-1 + sqrt(637))*2 + sqrt(637))**2.\nAnswer: -11482 + 196*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9140\/(-190) + (-2)\/(-19). Find the common denominator of (m\/15 - -3) + (-2795)\/(-2850) and -103\/26.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -7. Let g be -3 - (1 + s)*-1. Solve g*m + 20 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/7))**(-5)*(((q*(q*q**(-21)*q*q)\/q)\/q)\/q)\/q**(3\/16) assuming q is positive.\nAnswer: q**(-2341\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 10*u**2 - 2*u - 15. Let h(k) = -k**2 - 12*k + 11. Suppose -50 = 4*i - 2. Let w be h(i). List the prime factors of q(w).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-140)\/(-56) + 2*1\/4. Solve -5 = -5*h - l*u, -2*h = 2*u + 1 - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 4)*(581*f + 268*f - 289*f) in the form j + c*f and give c.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (1 - (-5 - -9)) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 24*w + 5. Suppose -x - 126 = -8*x. Let n be g(x). Suppose -u - o + n = -4*o, 5*u + 4*o - 489 = 0. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + c = -20, -20 - 8 = -q - 5*c. Suppose 3*r - q*r + 2845 = 0. Suppose w = -4*h + 140, -4*w + 2*h - 45 = -r. Is 33 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314*i + 77*i - 294*i to the form d + t*i and give t.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -721\/15 - -48. Is h >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*t = -5, -w + 5*t = 4*t - 3. Let a(k) = 5*k**w + k**3 + 5*k + 2*k - 2*k - 3 - k. Give a(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*m + 53*m - 1435 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, 4\/5, -1584.4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130) - sqrt(130)*1 - sqrt(130)) - sqrt(130))*-2)\/(4*3*sqrt(10)) + 4.\nAnswer: sqrt(13)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -21. Solve 0 = n*l - 8*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + m + 15, -2*r + 6*m - 4*m = 0. Suppose -2*n = -4*t - 5*n + 1415, -t - r*n + 358 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 107 = -23*p - 24*p. Solve q = p*b + 1, -3*q + 3 = -4*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**3\/3 + 157*m**2 - 24649*m - 455. Factor c(p).\nAnswer: -(p - 157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (5075\/(-522) + (-2)\/(-9))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02143048608 and -24491.\nAnswer: -24491.02143048608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24267688398 and -2.6.\nAnswer: -24267688400.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05544777 and 478306?\nAnswer: 478306.05544777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 8*l**2 + 591*l - 1149. Determine y(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - (150 - 141) - (15 - -6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1098915 + -0.10989. What is y rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61119 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: What comes next: -2549, -4205, -5875, -7565, -9281?\nAnswer: -11029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 760 + 874 + 1323 + 4*l + 583.\nAnswer: -l + 3540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w = -23*w + 90 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1131 - -1464. Calculate the greatest common factor of f and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**2 - 261*n - 2209. Give q(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-41)\/m**23)\/(m\/(((m*m**2)\/m)\/m)*m)**(4\/7) assuming m is positive.\nAnswer: m**(-452\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18381680 and -732090.\nAnswer: 17649590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-4) - (-7455)\/12 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.365739*-0.058\nAnswer: 0.021212862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 13.8.\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111111 - -10110101100101110?\nAnswer: 10110101001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271 + 6. Let t = 155 + j. Let k = t + 107.55. What is k rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8855 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/54)\/(40*59\/127440)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -191058 (base 11) to base 14.\nAnswer: -79314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 4*a**2 - 8*a + 4. Let q be g(-6). Suppose 1 - 25 = -4*v. Let x be (q\/v)\/((-6)\/9). Solve -l - 1 = -x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:01 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 744 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 286\/57, 5, 7, 1\/3 in descending order.\nAnswer: 7, 286\/57, 5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*o - 19. Let p be 1\/(o\/(-6)) + (-414)\/(-90). Solve g = -p*g + 4*i - 30, 0 = g + i - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 904 + -614. Calculate the highest common divisor of 58 and z.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*h**4 - 942*h + 51460?\nAnswer: 100*h**3 - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, 1 d, and 1 m when four letters picked without replacement from {m: 4, r: 3, e: 1, x: 1, d: 4}.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27.3 and -4.\nAnswer: 109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 34536?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(66)\/sqrt(6))**2 + -2.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 0)*(4*b**2 + b**2 - 4*b**2) - 1012*b**2 - 241651 + 241651 as l*b**2 + k*b + n and give l.\nAnswer: -1016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -2*r**7\/7 + 7*r**6\/2 - 11*r**3\/3 - r - 4. Find the third derivative of i(z) wrt z.\nAnswer: -240*z**3 + 1260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5719876439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -222, -333, -444?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3168 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*o = 2*o - 7, 0 = -5*l - 2*o. Suppose -3*u = 2*g - 569, -l*u + 2*g + 34 + 342 = 0. What is the greatest common divisor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 5*p + 3*p)*(-5 + 0 - 1) - 5*p - 5*p + 4*p - 4 + p + 4 + (-2 - 3 + 6)*(3*p + p - 2*p) + 3 - 3 + 2*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/30*(-20)\/(-16). What is the nearest to d in 0.2, 4, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let k(d) = 17*d - 15. Let w(j) = 2*f(j) - k(j). What is the derivative of w(m) wrt m?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 18}. Give prob of picking 3 r.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 620935, 1241862, 1862801, 2483758, 3104739, 3725750, 4346797, 4967886?\n\"Answer: t**3 + 620920*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54842 divided by -3226.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-1 + (1 - 3) - (-131 - -134))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 7.\nAnswer: 106\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/8)\/g)\/g*g\/((g*(g*g**(-5))\/g)\/g*g))\/((g\/(g\/(g*g**(1\/7))))\/(g*g**(-2))))**(-33) assuming g is positive.\nAnswer: g**(-1353\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55461 is divided by 160?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7*n = -22. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o = -18*o - 27*o + 4*z + 10, -24*o - 67 = 2*z + 267 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25778.799 months in millennia?\nAnswer: 2.14823325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 7, a: 4, x: 2, q: 2}. What is prob of sequence ff?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9\/7)*w*w\/(w**(2\/11)\/w*w)*w assuming w is positive.\nAnswer: w**(118\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38\/9 - -161\/36. Suppose -h - 1 = -k, 0*h - 22 = 5*k + 4*h. Which is the closest to z? (a) -1\/3 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2178 + -2178.000001021. What is z rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2. Let c(h) = 2*h - 76*h**2 - 50*h**2 + 174*h**2 - 65*h**2 - 172. Calculate c(g(f)).\nAnswer: -17*f**4 - 2*f**2 - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 460833929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5745\/105325*(-2 - 12\/(-3))?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87628*s**3 - 121239 + 121239.\nAnswer: -87628*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3808 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 96. Let j = -68 + a. What is the third smallest value in j, 1\/5, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 118672040*g**3 - 29832363 wrt g?\nAnswer: 356016120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, 0, 21, 46, 69, 84, 85?\n\"Answer: -b**3 + 11*b**2 - 15*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 - 4*z - 1 + 2*z + 2*z**2)*(-2*z + 3 - 3)*(-49 + 49 - 12*z) to the form q*z + r*z**4 + f*z**2 + g*z**3 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4\/3 - 32*j**3\/3 + 76*j**2\/3 - 40*j\/3.\nAnswer: -4*j*(j - 1)**2*(j + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17734, 17625, 17516, 17407, 17298, 17189?\nAnswer: 17080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/4 (b) -1\/8 (c) -13 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -72, -107, -142, -177, -212?\n\"Answer: -35*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/5)\/((2\/(-3))\/((-236)\/(-4779)))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -95\/8, -4, 4\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/2)\/3*(-76)\/57?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20228*r + 20249*r - 210 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-91)\/(-42) + 4\/(-24). Factor o**3 - 5*o**2 + 4*o**l + 5*o**2 - 2*o**3.\nAnswer: -o**2*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12306*o + 73815. Give m(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 51*h**2 - 5*h - 2. Determine i(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 9:05 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134 and 603.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 100617 - -3?\nAnswer: 100621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -s. Solve 0 = -0*x - s*x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 212920?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -3 + 3 + -1 + (sqrt(75) - sqrt(75)*-3))**2 - ((sqrt(75) - sqrt(75)*2*4) + (0 + -2*sqrt(75) - sqrt(75)))**2*-6.\nAnswer: -50*sqrt(3) + 46876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = -0. Suppose -8*p - 418 = -a*p. Let k = p - -343. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6053216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29056806 divided by 6?\nAnswer: 4842801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-4 - -1) + 2). Let w(a) = 9*a + 4. Let i(j) = 5*j + 2. Let r(g) = -5*i(g) + 3*w(g). List the prime factors of r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3020 by 1.\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (-75 + 60 + -34)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 25*x**2 + 45*x - 8. Give q(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/5 (b) 5\/9 (c) -4\/5 (d) 849 (e) 10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2. Let w(d) = 401*d. Give w(f(z)).\nAnswer: 401*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + -6 + 1*-3. Let g = -568\/9 + 63. What is the biggest value in g, 2\/5, b, -11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*n + 12, 3*n + 9 = w + n. Let y(z) = -w*z + 18 - 2 + 6*z. Let t(s) = s. What is y(t(h))?\nAnswer: 3*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1959428 or 25472580\/13?\nAnswer: 25472580\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4262 bigger than -4262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 43*n**2 + 56*n + 13. Let q be t(29). What is q rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-504)\/175)\/(-4)*5*9\/135\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 5\/82706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17877 - -17877.5. Let k = 1 - -3. Let z be (k\/6)\/((-8)\/(-18)). What is the third biggest value in z, y, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - o + 29, 2*z - 4*o - 24 = 28. Let f(h) = -h**3 + 6*h**2 - 6*h + 2. Calculate the remainder when z is divided by f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10294 is divided by 65?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 + -4 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5655485, 11310958, 16966431, 22621904, 28277377?\nAnswer: 33932850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2962*o - 2964*o + 2. Let a = 11659\/90 - 259\/2. Is a > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -73. Let u(r) = -2*r**w + 0*r**3 + 2*r**2 + r**3 - 13 + r. Let z(c) = c**3 + c**2 - 2*c - 2. Let g be z(-1). Calculate u(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-5\/4)*m**(1\/6)*((m**(1\/4)\/m)\/m)\/((m\/(m**(2\/21)\/m*m))\/m)*((m*m**(2\/9)\/m)**(4\/11))**(-2\/7) assuming m is positive.\nAnswer: m**(-2441\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 4:08 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1185, -1188, -1191, -1194, -1197?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 - 13*q - 11. Suppose -57*y + 54*y = -18. Let f be x(y). Solve -4*d + 3 - f = k, 0 = 2*d + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85713527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2)*4*4.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 3*h + 3*f + 14, -f = -3*h + 10. Suppose -8 = -2*p - 2*g, 0*p - h = 2*p - g. Is p + (-12)\/4 - -122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 14 = -4*j - 4, -j - 4 = 4*b. Suppose -3*p - 30 = -j*p. Suppose 3*q + p - 210 = 0. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-6))\/((-3)\/6). What is the second smallest value in i, -2\/3, -4\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 499*k + 349*k + 4.\nAnswer: -150*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 + 86. Let c be 240*-1*60\/w. Suppose 2*v = 5*s + 167, -6*s + 2*s + c = 4*v. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 701.1 + -701. What is the nearest to -1\/3 in q, -0.2, 1, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(66))\/sqrt(11))\/((sqrt(36)*1)\/sqrt(12)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7453*f**5 + 3*f**2 - 2912*f wrt f?\nAnswer: -447180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 190\/13 (b) 3 (c) 2 (d) -0.1 (e) 5 (f) -3 (g) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 1, h: 1, e: 3}. What is prob of sequence hel?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -i + 98*g - 100*g, -139 = i + g. Is -281\/2 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -7. Let m = 268 - 275. Let p(b) = -10*b**2 + 7*b + 10. Let o(j) = 7*j**2 - 5*j - 7. Calculate m*o(h) + s*p(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752 is divided by 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15262597.\nAnswer: 7, 2180371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*d + 66 = 305*d. What is the remainder when 86 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h - 25 = -40*h. Suppose 2*j - h*u = 3, 0 = -5*u + 5 - 20. Let n(m) = -m**3 - 5*m**2 + 6*m + 7. What is n(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*d - 20*d**2 + 503 - 503 wrt d.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/34796 or 1?\nAnswer: -5\/34796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.8 + 3.8. Let p = -229\/10 + 45\/2. What is the biggest value in g, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l + 34. What is g(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 23 + -8 - -56.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/12 + 7*f**3\/6 - 5*f**2\/2 + 7*f. Calculate q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**4 - 3*s**4 + 3*s**4)*(4 + 1 - 4) + (-s + s - s**3)*(2 - s - 2) + 2*s**4 - 3*s**4 + 0*s**4 in the form h*s + f*s**3 + r*s**4 + j*s**2 + i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than -11340155734?\nAnswer: -11340155734.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -43 (b) -0.64 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31980695?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 135\/(-19) - (-8)\/76. Let f be (-1 - q)*-3*2\/(-9). Let c(u) = -u + 7. Let a(j) be the first derivative of -j**2\/2 + 6*j + 1. Calculate f*c(g) - 5*a(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7*w + d - 3, 4*d = -3*w + 12. Is 202 + w + -4 - -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-24))**(-1\/22)*v**(-1\/25)\/(v*v\/(v\/(v*v*v**(-5)))) assuming v is positive.\nAnswer: v**(839\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1738*x - 37088 = 4624 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2125 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-1\/6)\/(m**2*m*m**0) assuming m is positive.\nAnswer: m**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/9910 or 1?\nAnswer: 1\/9910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 675384210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-9)\/6 + 270. Let l = h - 1097\/4. Let g = 77\/68 + l. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(45\/40)*(-54)\/(-18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:09 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.44 + -11.511. What is the nearest to -2 in 1, -1\/9, p?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000316126 to 6 decimal places.\nAnswer: 0.000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/5, 32, 1162, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1625*n + 3*n**5 - 1642*n - 268*n**4 - 5*n**5 + 4*n**5 - 21 wrt n?\nAnswer: 40*n**3 - 3216*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23801 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -339?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122528*q*t**2 + 2*q*t - 10*q - t + 53 wrt t?\nAnswer: 245056*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 530908*d - 44624496.\nAnswer: 4*(d - 132811)*(d + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.943388 to 3 dps.\nAnswer: 1.943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let b be (-2)\/5 - (-6)\/15. Suppose 3*h + 2*h = b. Let l(v) = h*v + v + 0*v - 2*v. Determine l(z(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4033.5 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4426*o - 71306 - 158846 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57 and -293.8?\nAnswer: 350.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 2*u**3 - 4*u + 2 + 5*u**2 - 7 - u**3. Let i be c(-6). Let z be -10*i*(1 + -17). Round z to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -0.3 (b) -8\/7 (c) -5\/2 (d) -3 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 17. Calculate i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1023, -4090, -9201, -16356, -25555, -36798, -50085?\nAnswer: -65416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2550130849 to three decimal places.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 301 - -62966. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 2*f + 0*f + (-1 + 2*f + 1)*(0 + 3 - 1))*(3 + 0 + 0)*(3 + 2 - 1) to w*f + s and give w.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 23*j**3 - j**2. Let c be t(-1). What are the prime factors of c\/(-9) + 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10857 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866.3174ng to kilograms.\nAnswer: 0.0000000008663174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 11, 4, -5, -16, -29?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -5. Let n = -0.2 - -0.3. Let y be 14\/(-434) - 11\/(-341). Which is the closest to s? (a) y (b) n (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17934831 to the nearest integer?\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 77, 1, 4 in descending order.\nAnswer: 77, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1 - 6 + 4*r**3 + 4 - 2*r. Let f(b) = -3*b - 1 - 124*b**2 + 921*b**3 - 917*b**3 + 124*b**2. Give -2*f(t) + 3*y(t).\nAnswer: 4*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 + 5*s - 5. Let m = 2 + -2. Suppose m = -4*w + 3 + 1. Let l = w - 3. Let z(k) = -3*k**2 - 2*k + 2. Calculate l*r(q) - 5*z(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -38. Suppose r = 2*d - 6 + 2. Determine u, given that 4\/7*u**d + 2\/7*u**3 + 0*u + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/6 - 0) + -3. Let i(j) = j**3 - 4*j**2 - 1. Let n be 0 + 5 + (-1)\/1. Let p be i(n). Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000441054511 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16*s - 43. Let h be p(5). Calculate the highest common factor of h and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*j - 6224 + 1304 = 0, -4*j = -5*h + 24792. Calculate the highest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b**3 + 15*b**2 - 2*b + 2. Let g(d) = d**3 - d**2 - d + 1. Let h(o) = -2*g(o) + j(o). What is the third derivative of h(f) wrt f?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -12, -44, -100, -186, -308, -472, -684?\n\"Answer: -u**3 - 3*u**2 + 2*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5633 + 23280 = 135*c - 2063. What is the remainder when 1742 is divided by c?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*u + 40, -2 = -163*u + 156*u + 2*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -22*c + 7*c + 11*c. Let v(u) = 2*u**2 + 7*u. Let k(t) = -7*s(t) - 4*v(t). Let x(l) = 9*l**2. Give k(x(r)).\nAnswer: -648*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2722*c - 2722*c - 2315*c**3.\nAnswer: -2315*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 22*w**2 - 429*w + 1295. Calculate the remainder when 1064 is divided by q(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 723192.\nAnswer: 4339152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, 17\/2, -49\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28299.\nAnswer: 3, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -49, -49, -69, -115?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27.9 (b) -1 (c) -0.2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**2\/2 + 15. Let b(n) = 2*n. Give i(b(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y - 3. Calculate c(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -222, 0, 2, -2, -983 in descending order.\nAnswer: 4, 2, 0, -2, -222, -983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 2*k**2 - 16033*k + 16033*k.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 5*d - 3*h + 24, -20 = 5*h. Let q = d - 35. Let u be 3\/q*(-2 + 1). Which is the third biggest value? (a) u (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 10. Let f(m) = -42 - 47 + 138 + 0*m - 2*m - 60. Calculate 5*f(c) - 6*n(c).\nAnswer: 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 16*l - 21. Let c be r(-14). Let m = c - 7. Suppose m*v = v - 6. Solve s + s + 4 = 0, -4*u = 5*s + v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*c - 4 = 0, 1 = 9*s - 10*s + c. Solve 7*t + 2*t = s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7 = 3*b - 20, -4*b = 4*s - 32. Suppose -7 = z, -3*i + 118*z + 202 = 120*z. What is the highest common factor of s and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -114, -303, -592, -987, -1494, -2119, -2868?\nAnswer: -3747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {s: 2, v: 5, a: 8, t: 3, r: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 21444*c + 214385. Give z(-10).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfl when three letters picked without replacement from sfssl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/7 + 8*m**3\/7 - 10*m**2\/7 + 4*m\/7 = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2261375 and 194?\nAnswer: 2261569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703*k + 749 = -596*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56671837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (276\/(-21))\/(-4) - (-8)\/(-28). Let d be (1 - 2)\/(s\/9). Let r = 182 + -187. Put r, 3, d in descending order.\nAnswer: 3, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 + 1 - (8 - 13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 + 102. Suppose -t*r - 5 = 165. Let o = 256\/3 + r. Which is the closest to 1? (a) 0.3 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 258*d**3 + d**2 + d + 1. Let j be k(-1). Is (j + 0)\/(3 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 - 6621*i**2\/5 + 10949472*i\/5 + 32908032\/5.\nAnswer: (i - 3312)**2*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 21*d = -30. Suppose -d*n + 9*n = -168. Let o = -19 - -27. Solve -n + o = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 3*l, r + 2*l = 3*l. Let x be 10\/r*1*-2. Put x, -4, 1 in decreasing order.\nAnswer: x, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2 - 4*c + 12*c - 7*c + 3. Let a(l) = -3*l - 7. Calculate a(r) + 4*g(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 4*r, j + 28 = -j + 5*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27\/8, -6, 208, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/6 + 9*j**4\/2 + 29*j**3\/6 - 9*j**2\/2 - 14*j\/3 = 0.\nAnswer: -1, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-4))**19\/(f**(-21)*f*f**(-5\/9)) assuming f is positive.\nAnswer: f**(-157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -7, -1, 21, 65, 137?\n\"Answer: o**3 - o**2 - 8*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2\/49, 1\/4, -1\/2?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = 0, 0 = -4*a + 5*m + 289 + 195. Suppose -112*c = -a*c. Solve c = 9*q - 8*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l - 55 = -3*r, 4*r + 4*l = 40. Suppose g + 38 = -2*q - 3*g, 0 = 3*g + r. Let m = 2 - q. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 19*t**2\/2 - 5. Let a(v) = 3*v. What is a(p(c))?\nAnswer: 57*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/7 - 1076*y**2\/7 - 4352*y\/7 - 624.\nAnswer: 4*(y - 273)*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5469.942 days in hours?\nAnswer: 131278.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {n: 3, t: 2, v: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6 + 4 + (-38)\/8)*-4. Which is the second biggest value? (a) 2 (b) 4 (c) i (d) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 2\/((-4)\/10). Let n = -4 + u. Suppose 4*k + 4 = 2*d, -2*k + 2 + n = -4*d. Let i(v) = -4*v. Calculate i(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 11*b - 660. Suppose 5*q = -5*u - b, -3*u - 7*q - 201 = -3*q. Let r = -21 - u. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.4 - -4.77. Let o = -0.08 + 0.05. Let l = o - y. What is the second smallest value in l, -3\/4, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 43535\nAnswer: 217675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h - 4 + 4 + 4 + 2*h - 4*h - 1 + (11*h + 3*h - 2*h)*(0 + 0 - 2).\nAnswer: -31*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/56 - (-3894)\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4. Let q = 21 + -18. Let m be (1 - 12)\/(4 - q). Let r(g) = -g + 21. Determine m*h(t) - 2*r(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 27131\nAnswer: -24\/27131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 32 = -2*t - y, -3*t + 61 = 5*y. Let i = 48 - t. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2154306, -4308592, -6462876, -8617158, -10771438, -12925716?\nAnswer: -15079992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -5*y + 2088. What is the common denominator of 119\/50 and (119\/(-21) + 5)*y\/4?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5280 + -5271. Let p = 0.4 + -3.4. What is the third smallest value in -2\/9, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55706*h - 167004*h + 55694*h + 55654*h.\nAnswer: 50*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/13473908 or 0?\nAnswer: -5\/13473908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 83 (base 12) to base 13\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1063950 to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 168249312 a multiple of 3934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-882)\/(-27) + (-2)\/3. Suppose -4*w - 2*t + g = -0*t, 0 = 2*w - 2*t - 22. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439720 is divided by 1437?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25373*f - f**2 + 2*f**2 - 44809*f - f**2 + 2*f**3.\nAnswer: 2*f**3 - 70182*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -133755 and 1183114876.\nAnswer: 1182981121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -79 - (-7 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 97 = -2*n. Let q = n - -100. Suppose -19 = -q*h + 2*b, 4*b + 20 = h - 3. Solve -h + 0 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -87248, -89053, -90858, -92663, -94468?\n\"Answer: -1805*l - 85443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 3:52 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a factor of 991455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x - 67277 + 68933 = 0 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 4:18 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 5. Let m(v) = -v. Let a be m(3). Let g be d(a). Suppose 100 = 2*q - n - 0*n, -g*q - 2*n + 94 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 590338, -24.\nAnswer: -24, 11, 590338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 3*p**8\/56 - p**5\/60 + p**3\/6 + 25*p**2. What is the third derivative of y(g) wrt g?\nAnswer: 1080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.080906 and 0.4?\nAnswer: -0.0323624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-525)\/(-45)*(-4 - (-14)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 95 (b) 0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/7 + 3*s**2\/7 + 16*s\/7 + 12\/7.\nAnswer: -(s - 6)*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171) + 1*sqrt(171) + sqrt(171)) - sqrt(171))\/(-1*sqrt(9)*4 - sqrt(9)).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.92622 litres to millilitres.\nAnswer: 85926.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.009 - -0.009. Which is the closest to 2? (a) 5 (b) l (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 738448?\nAnswer: 8122928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 5:40 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h - 173 = 277. Solve 3*r + h*i - 8*i = -5, -5*r + 17 = -3*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 1, f: 3, k: 1, d: 6, t: 6}. What is prob of picking 1 s and 1 j?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -7032334a?\nAnswer: 7032334a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 3134?\nAnswer: -3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwskqqzkqw. Give prob of sequence wkqs.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -21*g + 551. Is 17 a factor of p(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = h + 2*h - 18, -5*h = -4*a - 30. Suppose m + 75 = h*m. Suppose -d + 7 = 2*y + y, -y - m = -4*d. What is the remainder when 10 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 - 10 - 12 - 3*u**2 + 40*u - 8*u - 9*u = 0. What is u?\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = -70*l + 102*l. Solve -4*v = -2*g + l, 4*g = g - v + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**5*z - 251*q**3 + 128*q**2 - 3*z wrt q.\nAnswer: 60*q**2*z - 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:58 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/3 - 32804*c**4\/3 - 65591*c**3\/3 + 426416*c**2\/3 - 109340*c = 0. Calculate c.\nAnswer: -32802, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -20*v + 34 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrcj. What is prob of picking 1 r and 2 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -13, -11, -7, -1, 7?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + c + 12. Let z be u(0). Suppose 0 = 2*k - 15 + 7. Solve g + g + 9 = 3*b, 0 = -4*b + k*g + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47.8 + -48. Let v = 0.818 - -0.182. Let k = 22.4 - 21. Which is the fourth smallest value? (a) v (b) i (c) -3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**2*p**3 - 3*j**2*p**2 - 3*j*p**3 - 4955*p**4 + 2*p**3 + 50143*p**2 wrt p?\nAnswer: 18*j**2 - 18*j - 118920*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 11:17 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -781, 2, -4, -15 in ascending order.\nAnswer: -781, -15, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/73 (b) 0.102 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12279, 24817, 37369, 49941, 62539?\nAnswer: 75169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -47 - 7 - (-20 + 59)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-3))\/(4\/(-3)))\/((-12582)\/(-5592))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 6 - 2121602*t + 2121599*t - 5.\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 21377 to the nearest 100.\nAnswer: 21400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 303291.5 millennia?\nAnswer: 303291500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3\/7)*z*z)\/z*z**(-26)*z*(z**(-1\/21))**(3\/2) assuming z is positive.\nAnswer: z**(-317\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = o. Suppose 7*j - 49 = -o*j. Let v(g) = g**3 + 7*g**2 + 5*g + 1. Calculate the remainder when v(-6) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, -3, -6 in descending order.\nAnswer: 10, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 0*i + 1)*(-3 + 1 + 4)*(20 - 21*i - 20 + (0*i + 0*i + i)*(-3 + 5 - 4) - 67*i - 135*i + 389*i).\nAnswer: -328*i**2 + 328*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (13039\/2210)\/(2\/(-4)) and 51\/2503.\nAnswer: 12515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -340, -624, -1050, -1666, -2520, -3660?\nAnswer: -5134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 285106 - -95797337?\nAnswer: 96082443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/1179 and 74\/3537.\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 10a9?\nAnswer: -10a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -53 - -a?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.7? (a) -1 (b) 2 (c) 6 (d) 3\/8 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 2056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360340 and 1189122?\nAnswer: 11891220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00322198 rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*t - 83. Let y be t\/72 + (-58)\/(-18). Suppose -y - 1 = -v. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7 + 9*a - a**2 + 1 + 0 + 0*a**2. Let g be q(6). Suppose -5*y - 2*f = -255 + 58, 5*y - f = 194. What is the highest common factor of g and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 24 = 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 23*l. Let t(k) = 68597*k. Determine w(t(n)).\nAnswer: 9411096818*n**2 + 1577731*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2350976937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from llllllwlwll?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 6\/4)\/(((-1071)\/(-272))\/21*10)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -116153+-46\nAnswer: -116199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n**(1\/5))**23 assuming n is positive.\nAnswer: n**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 greater than 144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:41 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 3310351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**3 - 11*s**3 + 18 + 4*s**3 as p + d*s + u*s**3 + y*s**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 plus 8072465.63?\nAnswer: 8072447.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -339*b**5 + 2*b**2 - 7*b.\nAnswer: -20340*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78, 1031, 2620, 4845?\n\"Answer: 318*c**2 - c - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, e: 7}. Give prob of sequence cece.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 41574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68 and -7.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)*-6 - sqrt(110))\/(sqrt(20)\/(sqrt(2) + (sqrt(2) - (sqrt(8) + sqrt(2)) - sqrt(2)))) + (-1*sqrt(77)*-1)\/(sqrt(112) + sqrt(112)*2).\nAnswer: -263*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 5*q - 31, -r + 13 = 2*q. What is the lowest common multiple of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (sqrt(2)*-2*5 + sqrt(16)\/sqrt(8) + 0)**2.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1679028 divided by 559676\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2650.681939 + -907.\nAnswer: 1743.681939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 235*w**3 + 36*w + 1. Let g(j) = -234*j**3 - 35*j - 1. Let q(k) = -6*g(k) - 5*s(k). Find the second derivative of q(m) wrt m.\nAnswer: 1374*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, s: 3, u: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4 + 4, 2*r - 2 = -3*t. Suppose -2*l - 290 = -a - a, -2*a - t*l + 310 = 0. Suppose 2*g - a = -3*g. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**2\/2 + 5*z - 110. Determine g(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3363 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 320522 - -4.\nAnswer: 320526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*-3*(sqrt(8)*1)\/sqrt(4) - (3*(sqrt(98) + 0 + sqrt(98)) + 1 + 1)**2.\nAnswer: -3532 - 222*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.627 rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Let h(f) = 157*f - 7062. Let k be h(45). Put -2, m, k, -7 in ascending order.\nAnswer: -7, -2, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/14 and 45\/336098?\nAnswer: 336098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 3.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -13. Let w = t - 1. Let y(f) = -f**3 + 7*f**2 - 5*f - 3. What is the units digit of y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v - 5*v + 2*v)*(2 - 5 + 5)*(1 + 0 - 4) to the form d*v + q and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1111919519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**7\/4620 + w**5\/660 + 3*w**3 + 5. Let g(m) be the third derivative of k(m). Factor g(o).\nAnswer: -2*o*(o - 1)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 260*d - 316*d - 1 as k*d + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 547\/399 - 5\/133. Put 2\/11, t, -1\/59, -5 in descending order.\nAnswer: t, 2\/11, -1\/59, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 163 (c) -6\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 3. Give w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Let y be (5\/10)\/(1\/w). What is the units digit of 1\/y - (0 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Let k be -2 + (-5)\/4 + g. Is k greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/55 - (-3)\/(-15). Which is smaller: 4\/103 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5357)\/2922 + ((-4)\/(-18))\/((-28)\/21) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**4 - 3*r**3 - 4*r**2 - 105*r + 4. Let c(z) = z**4 + z**3 + z**2 - 1. Let n(a) = 4*c(a) + s(a). What is the second derivative of n(b) wrt b?\nAnswer: 12*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5598 and 3.\nAnswer: 5601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/1*7\/(-21). Sort -4, 0, m.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 2041 + 2021 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 12:41 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-6) - 2\/3. Let f(g) = -62*g**2 + 22*g + 10. Let l(v) = -36*v**2 + 13*v + 6. Let z(u) = -7*f(u) + 12*l(u). Give z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.261597 litres?\nAnswer: 8261.597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 752 and 29478776.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 9*j**2 + 2*j - 1. What are the prime factors of d(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25860 minus 5?\nAnswer: 25855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - 132030?\nAnswer: -131131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1371 = 17*q - 20*q. What is the remainder when q\/(-7) - 2\/7 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m + 30 = 0. Let g(w) = -w**3 - 11*w**2 - 11*w - 7. Is g(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4579199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 47860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27874 and 1856.\nAnswer: 25867072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2676.6291 rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((3 - -9 - 3) + -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 608\/10*(8 + 54\/12). Let z = j + -358. What are the prime factors of z?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16452212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 38\/3, 3\/5, -12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Let h = -0.82 - -0.7. Let j = 0.08 - h. Which is the third biggest value? (a) m (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182736 divided by 141\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -688130 rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/20 - 5*w**4\/12 + 5*w**3\/3 - w**2\/2 + 19*w. What are the prime factors of v(6)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, n: 13, v: 1, u: 1}. What is prob of sequence nnuv?\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 19*p - 10. Let o be x(4). Suppose 0 = 3*z - 14*z + o. Solve z*y - 32 = -14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166391563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 705 * 46804.\nAnswer: 32996820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-102))\/(4\/(-12)). Suppose -4*q = 3*j + 2*j - 35, -3*q + 30 = 5*j. Which is the third smallest value? (a) k (b) j (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-2\/21)*u)*u)\/u)\/((u\/(u*u\/u**(3\/7)))\/u))**23*(u*u**(-2))**(1\/41)\/(u**(-2\/9))**(1\/4) assuming u is positive.\nAnswer: u**(28313\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6632, 6657, 6682, 6707?\n\"Answer: 25*r + 6607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1420285 and 0.3?\nAnswer: 426085.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4396 <= -4397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11*p**2 - 2*p - 1. Let o be a(-1). Let r(h) = -2*h - 13. Let l be r(o). Let x = 16 - l. Calculate the remainder when 42 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -787, -504, 0, -4 in increasing order.\nAnswer: -787, -504, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114.7 + -125. Let b = 10 + r. Let y = 0.1 + 0. What is the nearest to y in 5, b, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2334?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.836 - 254.136. Let b = -22.3 - i. Let t = b - 232.57. What is t rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20100311 + 122?\nAnswer: -20100134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 15*h + 6. Let o be i(-7). Calculate the highest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/4)*j)\/j)**(-9\/11))**(-32) assuming j is positive.\nAnswer: j**(360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2 and 29\/510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2462567*h**4 + 3673604*h + 1 wrt h.\nAnswer: 29550804*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from xqxxqoxxalxl?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*l - 70*l = -45 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40972191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:58 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39383, 25947, 12513, -919?\nAnswer: -14349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 207360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -0.5. What is the nearest to 1 in a, 5\/9, 4?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*u - 2*u - 2*k, -4*k - 36 = 3*u. Solve -5*p + 1067 - 1097 = u for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 19*d**2 + 112*d - 21. Let h be v(-34). Round h to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -26. Let a be (4 + i + 5)*-1. Let s be 186 - (3 - a)*-1. Round s to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 12*f - 11. Let m be z(13). Suppose -2*b + m = 0, 3*h + 4*b = 5*h + 2. Solve 2*j - p + 5 = -3*j, j + h = -4*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 11. Let t be c(-12). Put 21, -5, t in decreasing order.\nAnswer: 21, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1911 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1332 and 97\/51652.\nAnswer: 464868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 97. Let h = 98 - f. Sort -4, 33, h.\nAnswer: -4, h, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a kilometer in meters?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-6))\/(1456\/(-336)))\/(6\/(-10)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192390, -384165, -575940, -767715, -959490?\nAnswer: -1151265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*g**2 + 5018*g - 436.\nAnswer: -2*(g - 109)*(23*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = g - 4*o, -3 = -g - o. Suppose g*p = 4*s - 661 - 1043, -s + p = -424. Is 52 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxgx when four letters picked without replacement from xgxxggxggg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**4\/24 + d**3\/6 + d**2. Let j be -2 - 12\/(-3) - 0. Let b be o(j). Is b equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -5, 1.\nAnswer: -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:51 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, b: 1, r: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*y**2 + 0*y**2 - 2 + (-y + y + y)*(y + 2*y - 4*y) in the form p*y**2 + x*y + i and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 14*v**2 - 2. Let z be b(-1). Let m = z - 2. Suppose 2*r + m - 12 = 0. Solve r = 3*s - 3*x + 7, -4*x = 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -293?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-70)\/21 - (-172)\/(-6). Let m be ((-44040)\/f)\/(9\/12000)*-34. Round m to the nearest 1000000.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1020002 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.636 - -20.036. What is the second biggest value in -191, 3, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let y(u) = 93379*u**2. Calculate n(y(d)).\nAnswer: 186758*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9b + 3b?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (600\/(-18))\/((-2)\/(-333)). Let a = h - -33209\/6. Calculate the common denominator of -1 + 1 - (-259)\/14 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 188530\/4425 - ((-1)\/((-40)\/136) - 4)\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 11*b + 15*b - 7*b)*(-4 + 4 + b**2)*(-2*b**2 + 4*b - 4*b).\nAnswer: 6*b**5 + 64*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10010 (base 2) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/955 in -2\/5, -2, 4, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 30572680.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121057166.\nAnswer: 2, 163, 371341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 4*j**2 - 4*j + 3. Let p be l(4). Let q = 1894 - 1361. What is the common denominator of (-1)\/2 + q\/p and 81\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 7291.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 + 3*d**2 + d**2)*(0*d**2 - 5*d**2 - d - 180 + 179).\nAnswer: -45*d**4 - 9*d**3 - 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -30*p + 4. Let t be z(-4). Suppose 3*v + v = t. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1418, -1\/9, -6, 1\/9, -2 in descending order.\nAnswer: 1418, 3, 1\/9, -1\/9, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 11*w - 16*w + 5*w + 880*w**2.\nAnswer: 2*w**3 + 880*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 4*d - 1. Suppose -5*j + 21 = -4. Let r(y) = 3*y + 8*y + 6 - 3 + j*y**2 + 0*y**2. Calculate 11*o(f) + 4*r(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:15 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19100\/573 + (-30)\/(-18).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/50*(-70)\/(-114) + -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458265 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/60 + h**2\/2 - 6*h. Let t(p) be the first derivative of b(p). Let k(w) = 4*w**2. Give t(k(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 18. Suppose c = v*c - 25. Suppose 60 = c*o + 5*r, 2*o - 37 = -5*r + 2. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25899 and 23571?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274294 = 49*l - 1137821. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, t: 3}. What is prob of picking 2 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1200310005 - 4?\nAnswer: -1200310013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1197, 2352, 3507, 4662, 5817, 6972?\n\"Answer: 1155*f + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1800 and 234432.\nAnswer: 5860800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0 + 3 = 0. Suppose 2*h - 5 = -a - 2, -5*h = -2*a - 12. Let r be a\/4 + 77\/(-28). Is u greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172712879 to the power of 1\/2, to the nearest integer?\nAnswer: 13142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 14653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 0 + 0*q**4 + 0*q + 1\/90*q**5 + 0*q**3 + 8*q**2. Factor b(y).\nAnswer: 2*y**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**3\/3 + 4*r**2 - 2*r - 4. Let o = -112 + 165. What is the remainder when o is divided by s(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -16 + 3 + -36?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 99577.273 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 6 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*6*(-3)\/30. Suppose n - 12 = f. What is the remainder when 53 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, 1.94, -5 in descending order.\nAnswer: 1.94, 1, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 21 = -57. Suppose -37*z + 28*z = -r. Let 22\/17*a**z + 104\/17*a**2 + 92\/17*a**3 + 0 + 16\/17*a = 0. What is a?\nAnswer: -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 3*f - f + (-1 + 1 + 2*f)*(1 - 1 - 2) + 4*f - 4*f + f + 331 - 331 + 181*f + (2 - 2 - 2)*(-1 + 2*f + 1) as z + n*f and give n.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**5\/7 - 171*b**4\/7 - 1761*b**3\/7 - 6525*b**2\/7 - 8100*b\/7 = 0.\nAnswer: -45, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(49\/(-14))*-1*700\/(-168)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/7 + 6*v**2 + 16*v + 72\/7 = 0 for v.\nAnswer: -18, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -131*w**5 - 4*w**4 + 4*w**2 - 11*w - 48. Let y(q) = q**5 + q**4 - q**2 + 2*q. Let o(z) = a(z) + 4*y(z). Find the second derivative of o(r) wrt r.\nAnswer: -2540*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12388199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01373 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.4 (b) -3 (c) 9430 (d) -1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010100101010010 - 101001111?\nAnswer: -1110010101010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8) + 2*(-2)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-4 + 1)) + 33 + -32?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 885994 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -5\/21998868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43973*w + 4*w**2 + 9 - 3*w**2 + 43973*w + 0*w**2.\nAnswer: w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1291356 and -22\/3?\nAnswer: 1291356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-1)\/((12\/(-3))\/68). Let v be 80\/35 + 4\/l. Determine c so that 2\/9*c**3 + 0 - 2\/9*c**v - 4\/9*c = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/13 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(8)\/sqrt(4))**2)*-5 + 4*(sqrt(2) + 1)**2*-1 + (5*(-1 + sqrt(72))*4 + 0)**2.\nAnswer: -4808*sqrt(2) + 29178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124917304.\nAnswer: 2, 15614663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v**4 + 134536*v**3 - 2902424*v**2 + 14935904*v + 6447360 = 0 for v.\nAnswer: -2\/5, 10, 12, 13432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-1)\/(18\/2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 9 = 9. Let q(z) be the second derivative of i + 0*z**2 + 7*z - 1\/4*z**3 + 1\/8*z**4. Factor q(w).\nAnswer: 3*w*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -21*r - 254. Let c = -21600 + 21588. Determine q(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -83*j + 27. Let l be -2 + (-42)\/4 - 21\/14. Is b(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159 + 119. Let p be (4\/(-10))\/(8\/r). Suppose -k - 3 = -p*k. Solve 5*g - 22 = k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -24. Suppose -4*p + 3*b + 35 = p, -2*b = -4*p + 26. Find the second derivative of 294*a**p - 276*a**4 + 0*a**2 + w*a**2 - 24*a wrt a.\nAnswer: 216*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 401888030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12529774 take away 9?\nAnswer: -9.12529774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*s**2 + 354*s**2 - 143*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 136651347 - -5?\nAnswer: 136651354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21782 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-2\/25)*t))\/(t**4*t))\/(t*t**(2\/7))**(-33))\/((t*t**(1\/2))**(2\/3)*(t\/((t*(t*t**(1\/4)*t)\/t)\/t))**(-10)) assuming t is positive.\nAnswer: t**(11903\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7793647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5\/2 + 471*a**4\/2 + 5973*a**3\/2 + 18633*a**2\/2 + 10623*a + 4056 = 0.\nAnswer: -8, -2, -1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 34. Let j be q\/21 + (-141)\/(-21). What is the third derivative of 15*l**2 + l**3 + 16*l**3 - j*l**3 wrt l?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 34. Let t be (-2)\/i + 146635\/60. Let v = t - 2467. What is the common denominator of 113\/24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p)**(8\/13)\/(p*p**(-2\/21))**(-1\/13) assuming p is positive.\nAnswer: p**(-821\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1420\/(-284))\/(5\/(-3)). Solve o*l - 6 = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 30*a. Let o(v) = -234969*v - 36. What is m(o(w))?\nAnswer: -7049070*w - 1080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -190ba0 (base 12) in base 9?\nAnswer: -735603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/12 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 39 = t - 3*j, 4*t - 5*j = 53. Let q = t - 0. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f + 2\/5*f**3 + 0 + 1\/5*f**4 + 1\/5*f**2.\nAnswer: f**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 39 = -3*b. Suppose -r = -12 - b. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*r - 58 + 273, -4*n + r = -167. What is the remainder when 164 is divided by n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 27231724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12841*r + 412 + 12841*r + 2*r**2 to the form y + c*r + g*r**2 and give y.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + -1*sqrt(5103)))**2 + -1.\nAnswer: 2592*sqrt(7) + 81791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 92 in -1, 0.3, 16, 2\/11, -1\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42960821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69.2 - -68.2. Let o = -3 - -3. Suppose j + 3*j - 4 = o. Which is the closest to j? (a) l (b) -1\/6 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62.35783 - 7.65077. Let m = f - -70. What is m rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 11:11 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 15*g - 10. Let p be y(16). Let u be 18*p\/(-9)*(-10)\/3. Let t = u + -36. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335525, -335603, -335681, -335759?\nAnswer: -335837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 298.71 times 10847\nAnswer: 3240107.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 49.9, 2.3 in ascending order.\nAnswer: 0, 2.3, 49.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213 - -3*(-3 - -2).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/65)\/(34\/5).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 13) to base 7\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 24832274?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 315 = -26*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57825 (base 11) to base 8.\nAnswer: 243075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -9\/22 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 3. Let x be t(0). Suppose -4*u = -x*u - 6. Suppose -228 + 6107 - 455 = 113*z. Calculate the highest common factor of u and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(-361 + 361 - 9*r)*((2 - 2*r - 2)*(27 - 27 + 25*r) - 2*r**2 + r**2 - r**2) to w*r**2 + l + u*r**3 + y*r and give u.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 17*n + 193. What is the hundreds digit of b(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182056397?\nAnswer: 31, 5872787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53101*b**2 - 34*b - 720683 with respect to b.\nAnswer: -106202*b - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1126548 and 1824?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -211464*m**2*n + 45327430*m**2 + 301*m*n wrt n?\nAnswer: -211464*m**2 + 301*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 73 + 185 = 0. Let k be (-44)\/2 + 3 + -2. What is the common denominator of 37\/13 and c\/7 + (-9)\/k?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 21240000 = v. Let m be ((-2)\/4)\/((-6)\/v). Round m to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/11 - 27308*d\/11 + 191058\/11 = 0. What is d?\nAnswer: 7, 13647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 997.41842 rounded to 1 decimal place?\nAnswer: 997.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1045554 and -12?\nAnswer: 12546648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12195394919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(14) - sqrt(14))*-6)\/((sqrt(162)*-2 + sqrt(162))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1835 - 1832. Solve -3*g - 4*f = -n, 3*f + 2*f = 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9299 + 11334. Calculate the remainder when l 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 35\/3 and (3\/112*31)\/(0 - -1)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 6. Let r be b(-6). Let s = 6 - r. What is the remainder when 29 is divided by 2\/s - 665\/(-42)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0.1, 0 in increasing order.\nAnswer: -28, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -19\/53176?\nAnswer: -19\/53176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -14.57?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 64 - 29)*(-2 + 2 - q)*(0*q**3 - 3*q**4 + 0*q**3).\nAnswer: 243*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = x - 41*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**2\/7 - 220*w\/7 - 408\/7.\nAnswer: -4*(w + 2)*(2*w + 51)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1539)*-3 - (-1*(1 + sqrt(1539) - sqrt(1539)) - sqrt(1539) - sqrt(1539)).\nAnswer: -9*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/10 and 45\/89.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35330.6*-0.3.\nAnswer: -10599.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 514747502233.\nAnswer: 514747502233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011110111011 (base 2) to base 16.\nAnswer: -a7bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q**2 - 5*q. Let m(s) = -17*s + 7. Let k(w) = 5*w - 2. Let d = -19 + 12. Let o(z) = d*k(z) - 2*m(z). Calculate c(o(u)).\nAnswer: -8*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6739*w - 4560*w + 2941 - 2940.\nAnswer: -11299*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 480 + -121. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b**2*f**2*q + 5083*b**2*q + 5*b**2 + 327*b*f**2 + 2*f wrt f?\nAnswer: 10*b**2*f*q + 654*b*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 + -3.9. Let d = -92 + t. Let f = d - -121.6. What is f rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3497172747 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6)*105*36\/4200?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 66372 divided by 11062\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + 4408*g + 26612. Determine j(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*p = -279*p + 15. Let c(j) be the third derivative of -41*j**2 + 1\/540*j**6 + 5\/36*j**4 + 0 + 1\/30*j**p + 0*j - 25\/27*j**3. Factor c(k).\nAnswer: 2*(k - 1)*(k + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 3)*(2 - 2 - 8)*(6*m - 4*m - 9 - 2)*(3*m**3 - 2*m**3 - 3*m**3).\nAnswer: -96*m**4 + 528*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 12 = 37. Suppose -424*l + 426*l + 2*m = 20, -2 = -2*l + m. Solve l*a - 1 + y = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5 - 11. Factor -56*d + 4*d**o - 17 + d**3 + 1 + 13*d**3.\nAnswer: 2*(d - 2)*(d + 2)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3288 divided by -3288?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*h - 20, 2*x - h - 4*h + 20 = 0. Suppose -y - 4 = 0, 2*o - 2*y = -42 + 56. Suppose 3*t - g - 6 = -x*t, -o*g = 0. Solve -3*f + t = -10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 6. Let j be 15\/9 - 0 - 1. Let l be 1*(-48)\/(-27) + -2. Which is the nearest to j? (a) 0.2 (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -146 in -1.3, 2\/9, 0, 5, 156?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 2, o: 4, r: 1, z: 1}. Give prob of picking 2 h and 1 i.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 233764 + 1290768. Suppose -695468 = -3*s + x. What is s rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1407735*c + 1407728*c - 301 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*g + 6*g = 0. Suppose g = -5*p + 5*l - 248 - 32, -3*p = 3*l + 186. Is -58 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -376147 + 11?\nAnswer: -376136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 32*y + 10. Let n(m) = 11*m + 4. Let v(s) = 3*h(s) - 8*n(s). Give v(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -203*d**2*l**2 + 84*d**2*l + 148*d*l**2 + 2*l**3 + 11883*l wrt l?\nAnswer: -406*d**2 + 296*d + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -0.10686792.\nAnswer: 0.19313208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 30*j**2 + 36*j - 106. Let y(q) = -5*q**3 - 145*q**2 - 180*q + 527. Let l(s) = -11*k(s) - 2*y(s). Determine l(-39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/6)\/y*y*y*y**(-3)\/y assuming y is positive.\nAnswer: y**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 7) to base 14\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 324281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 31*g**2 + 68*g + 47. Let b(w) = 11*w**2 + 23*w + 16. Let m(t) = 11*b(t) - 4*k(t). Let d be m(-5). Let n(p) = -p**3 + 8*p**2 + p - 5. Determine n(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + l**2 + 1. Suppose 0 = -5*v - 3*d - 5, 8*v - 211*d + 215*d + 4 = 0. Let t(k) = -k**3 - 2*k**2 + 13. Give v*h(m) + t(m).\nAnswer: m**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-55)\/(((-6)\/(-4))\/(-3)). Suppose 270 = 4*c - 2*d - s, 360 = 4*c + 3*d. Let h = c - 5. What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - w + (6*w - w - 2*w)*(6 - 4 + 0) + 30 - 51*w - 49*w + 98*w + 3*w + 5 - 5 as z*w + i and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 13*i**3 - 9*i**2 - 5. Let x(d) = d**2 - 4*d - 2. Let s be x(4). Let y(q) = -3*q**3 + 2*q**2 + 1. Calculate s*w(v) - 9*y(v).\nAnswer: v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2 - 7*k**2 - 5*k + 2 - 4*k**2. Let y(j) = j. Let b(q) = q**2 + 5*q. Let g(v) = -b(v) + 2*y(v). Let x be g(-4). Determine f(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (45\/(1 - -4))\/1. Suppose -c*l + 210 = -4*l. Calculate the remainder when (8\/(-12)*l)\/(-2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 113*y - 932. Let u be p(-9). What is the highest common factor of u and 628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/1176)\/((2\/(-10))\/((-72)\/(-160)*-2)).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30571104 a multiple of 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4 - 145*f**3 + 837*f**2 - 407*f - 1390 = 0.\nAnswer: -1, 2, 5, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8 + 4.9. What is the third smallest value in 5, 2, j, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35 - -32)*8\/(-6). Suppose 118 - 98 = m*i. Let t(k) = -2*k**3. Let j(s) be the first derivative of -s**4\/2 + 2. What is i*j(b) - 6*t(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.71936 rounded to two dps?\nAnswer: 33.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + o**2 + o. Let k(j) = -8*j**3 + 2*j**2 + 2*j - 7. Let w(x) = -k(x) + 2*s(x). Find the first derivative of w(m) wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 2*u = -4*k + 102, 2*u = 4*k + 114. Suppose 0 = 5*c + 24 - 214. Let h = c + k. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10\/49 (b) 0.1 (c) 0.5 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106288 divided by -6?\nAnswer: -553144\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 - 3*o**3 + 2*o**2 - 10*o**3 + 7*o**3 - 4 + 3*o. Let k(f) = f - 1. Calculate -3*k(j) + v(j).\nAnswer: -2*j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-142)\/1065)\/((-667)\/(-690))\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {q: 2, s: 1, l: 3, j: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 156, -0.3 in decreasing order.\nAnswer: 156, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(37\/4)\/(s*s**(-2\/9))**(-7\/5) assuming s is positive.\nAnswer: s**(1861\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506256 - 429191 = -5*p + w, 4*p = -3*w + 748388. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -131\/5 (b) -0.1 (c) 0.2 (d) -3\/4 (e) -8 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 12*c**3 + 240 - 238 + 2*c**4 - c + c**2 - 25*c**3 in the form y + a*c + m*c**4 + s*c**3 + u*c**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1207 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, l: 1, p: 1}. Give prob of sequence lp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328 + 19*s + 97 + 134 + 97.\nAnswer: 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6506 a factor of 2766188550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aayy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 3*o. Let f(s) = 5*s - 14. Let g(m) = m - 3. Let d(b) = 2*f(b) - 11*g(b). Let y be d(9). Determine x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3840 divided by -30\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**1)\/u)**13\/(u**(-2\/11))**21)**(-1) assuming u is positive.\nAnswer: u**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 8586.09 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2391*d + 3629*d + 1023*d = -993063 for d.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**3 - 8*j**2 - 5*j + 1. Let o(i) = 15*i**3 + 23*i**2 + 14*i - 3. Calculate -6*o(s) - 17*t(s).\nAnswer: -5*s**3 - 2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -16*n**2 - n. Let a be v(-1). Let b = 8 - a. Solve 4*i - 7 = -b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - j = 7, -j + 7 = 3*m - 0*m. Suppose m*n + 5*b + 23 = 5*n, -5*n - b = -1. Solve -6 = 2*q - t, t = -2*q - q + n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690585 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8266510 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3933 and 513?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 5929.\nAnswer: 5929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 1 + ((-11874)\/(-2) - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 0*k**4 + 1 + k**4 - 4 + 4 - 2*k in the form l*k + w*k**4 + c*k**2 + m*k**3 + v and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**4 - 17*k**2 + 6*k - 6. Let h(s) = s**4 - s**2 + s - 1. Let c(t) = 6*h(t) - y(t). What is the third derivative of c(p) wrt p?\nAnswer: 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/84 - (164\/369 + 1066\/(-252)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*c - 24 = 0, 4*i = 4*c + 2 + 10. Suppose -6*r = -i*r - 28. Let m = -5 + r. What is the greatest common divisor of m and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from didiiddididd.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 9*w. Suppose 0 = 4*m - 2*m + 6. Let j = m - -5\/2. Put w, 1, j in descending order.\nAnswer: 1, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**12*g*g*g**(2\/3)*((g**1*g)\/g)**37 assuming g is positive.\nAnswer: g**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by -1?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164\/(-69) + (-287)\/(-123).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 45 = -6323*l + 6321*l - 11, 19*l - 20 = -4*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 324.16, -2\/7, -2, 0.053?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 331240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 837 and 702?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1111011011?\nAnswer: 1111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.9 - -2.85. Let b = -4.95 + z. What is the biggest value in b, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, r: 4, w: 2, k: 7, o: 2}. What is prob of picking 1 z, 1 r, and 1 w?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 192 = 3*a + a, 0 = -a + 5. Suppose 0 = 4*u + s - n, -2*u + s = 2*u - 45. Solve -2 + u = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -289, 10918, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 - 69. What are the prime factors of y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + 5*i**4 + i + 2*i**4 wrt i?\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*p - 15, 5*r = 2*p + 2 + 3. Let y be ((-28)\/(-35))\/((-6)\/p). Solve -4 = -2*o - y*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3777253 is divided by 1823.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18376*p + 2184 = -18532*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374640 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204021861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-54) + (-43)\/9. Let x = z - -8. Solve 3*q + 5 = -5*w, 28 = -2*w + x*q + q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7116536386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/3 - y**2\/3 - 2*y\/3 = 0. What is y?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1086)\/16 + 3\/(-24). Let k be 8\/q + 3326\/4862. Let g = k + -24\/11. What is the common denominator of g and 49\/3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 34 + 2*g**3 + 2*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 22*l - 9. What is i(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3)*6 - sqrt(27)*2.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9414*d - 32950 with respect to d.\nAnswer: 9414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2146656 divided by 536664?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*m + 74*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18475 - 3558. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23405341 < -23405345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**0\/l)))**(-48)*l\/(l\/l**(4\/3))*l*l**(2\/13)*l assuming l is positive.\nAnswer: l**(136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -54*a. Let w be (8\/14)\/(4\/14). Suppose 0 = 4*y + 6 - w. Let h be l(y). What is the greatest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 16. Suppose -1166 = -z*x + 274. Let d = x + 193. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 265 - 215. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.54 + 631.46. Let l = -636.9999031 + o. Round l to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -249, 169, 949, 2091?\nAnswer: 3595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(((sqrt(408) - -2*sqrt(408)) + sqrt(408) - sqrt(408))\/sqrt(12) - sqrt(34)))\/(sqrt(6)\/(4*sqrt(75) - sqrt(3))).\nAnswer: -114*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1a612 (base 13) in base 4?\nAnswer: -32113010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4082571 milliseconds to nanoseconds.\nAnswer: 408257.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 - 2*c + 3. Let m be r(-6). Suppose -m = 5*q - 40. Round q to 0 dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1007878 or 1007879?\nAnswer: 1007878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -41*w - 2. Let s(d) = d. Determine s(q(i)).\nAnswer: -41*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-8)*-4 + (-6)\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214051421 and 18365.\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 294\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-40)\/(-5) + 0)\/(-1) - -946. Sort 1, c, 2 in increasing order.\nAnswer: 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*i, -10 = f - i - 2*i. Suppose 0 = 4*n + 2*w - 26, -f*n - 2*w = -3*n + 4. Solve x - n*x = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196843.\nAnswer: 17, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 20 = 0, -6*a + a = 5*w. Solve 4*k + 2*d = 4, -3*d - 7 = -a*k + 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -20?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 3\/8 (c) -0.2 (d) -0.32 (e) -36 (f) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-20) + (-23)\/(-5). Suppose 6*n - 12 = d*n. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15513761 to the nearest integer?\nAnswer: 3939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*f**2 - 29*f**3 + 11*f**2 + (-2*f + 5*f + 7*f)*(0*f**2 + 3*f**2 - 4*f**2))*(-f - 3*f**2 + f).\nAnswer: 117*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibb when three letters picked without replacement from bbpikibipiii.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 41*q**6\/40 + 13*q**5\/60 - 2447*q**4\/24 + 2833*q**2. Find the second derivative of o(h) wrt h.\nAnswer: 738*h + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m - 20 = -18*m. Let g be 1*(1 - (-1 + 3)). Let h be 5 - (1 - (g + 0)). Sort m, h, -2 in descending order.\nAnswer: h, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1572*s + 4726. Determine i(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 167*k. Let r(o) = 10*o. Give r(h(l)).\nAnswer: 1670*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -4. Let q = h + 10. Let g(a) = -a**2 - 4*a + 4. Let l be g(-4). Sort -4, l, q in decreasing order.\nAnswer: l, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/11 (b) -0.5 (c) 5 (d) 0.14 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 30*q - 281. Calculate the remainder when s(31) is divided by 213.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5431.449 hours to microseconds.\nAnswer: 19553216400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -11*y**2 - 1\/8*y**4 + 0*y + 1\/3*y**3 + 0. Suppose 0*d - 2*d = -8. Give u(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/6 + 37*n**3\/3 + 682*n**2\/3 - 37*n\/3 - 455\/2 = 0.\nAnswer: -39, -35, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39*(-8)\/6*-1. Let f(p) = p**3 - 48 + 102 - 6*p - x. Does 2 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - -2) + 1*-1. Suppose -4 = -x, -o + j*x = -0*x + 13. Suppose 5*m - 4 = -o*r - 30, -4*r + 2*m = 0. Which is smaller: r or -3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 7326*k**3 - k**2 + 7326*k.\nAnswer: k*(k - 7326)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 6*j - 6. Let o(l) = l - 8. Let n be o(10). Let z(y) = 3*y - n - 3 + 0*y. Let r be z(4). Give v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**5 - 16*s**3 - 8*s**2 + 12*s + 8 = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - -4 - (-10)\/2. Let d be (1\/(-2))\/((-4)\/24). Solve j = -2*a + d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 7120?\nAnswer: 78320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - -75. Let a = 115 - u. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 30888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4422, 8824, 13226, 17628?\n\"Answer: 4402*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + ((0 + sqrt(1377))*5 + sqrt(1377) + -5)*-2 + 1 + -2).\nAnswer: -432*sqrt(17) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -727.1316051 rounded to the nearest integer?\nAnswer: -727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/((342\/8)\/(-3))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2763*l**2 - 16*l + 24. Let i(k) = 921*k**2 + 6*k - 9. Determine 3*c(q) + 8*i(q).\nAnswer: -921*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1405839*f**2 + 7284007?\nAnswer: 2811678*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 391 = -159. Differentiate 10 - 12*o - u + 11 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 3*g + 3*g - 23*g**2 + 53.\nAnswer: -23*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + -10 + 254 + -298?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -77 + 0*c + 0*c**2 + 9\/4*c**4 - 2\/5*c**5 - 56\/3*c**3. What is the third derivative of p(y) wrt y?\nAnswer: -48*y + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16889*j**3 - 16246*j**3 + 33207*j**3.\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12311100000200 + 0?\nAnswer: -12311100000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/15 + (-138)\/(-345). Solve 7*r - 4*r = c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -2, 0.4, 142, -0.2, 3\/5 in descending order.\nAnswer: 142, 4\/3, 3\/5, 0.4, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 15}. What is prob of sequence rssr?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 334.4062 litres in millilitres?\nAnswer: 334406.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 2. Let l = 6 + v. Suppose x = 3*q + 67, -x + 6*q + 63 = l*q. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2404647 * -9\nAnswer: -21641823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -92a9 (base 12) to base 8\nAnswer: -37141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(512) + (sqrt(512) + 2 - sqrt(512) - sqrt(512)) + 3 + 2*sqrt(512)*-2)**2)*-5.\nAnswer: -41110 + 3200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 63 - 250 + 2*j + 59 + 70.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 8 - (-2 + 0). Let c be -1 + t - -7 - 2. Calculate the least common multiple of 4\/6 - (-80)\/c and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -10. Let o = -10 + z. Solve 4*j - o*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15 = s - 0*l, -5*s - 4*l = -17. Suppose -2*q = 13 + 3. Let m = s + q. What is the biggest value in m, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.8694532 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 u when four letters picked without replacement from {q: 5, y: 2, u: 3, t: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -659 divided by 208235?\nAnswer: -659\/208235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9)\/c)\/(c\/c**(-3)*c))\/((c*c\/c**(-4\/5))\/c**(1\/11)) assuming c is positive.\nAnswer: c**(-974\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589802.\nAnswer: 2, 29, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*u - 35, 4*u + 19 = b - 0*b. Suppose -3*s + b*z - 2*z = -4, 0 = -2*s - 2*z + 8. Solve -2*y = s*j, 5*j - 6 = j - 2*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/126*7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48957733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344031 and 144402?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 19640*z**2 + 58955*z + 39310.\nAnswer: -5*(z - 3931)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 497 + -337. Let j = -160.000113 + z. Round j to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-4)\/(-22)) + 2. Let j = 12 + -4. Let l = -7 + j. Which is the biggest value? (a) -2 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/209 (b) -0.5 (c) 2 (d) 6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4092964*-221.\nAnswer: 904545044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -62. Suppose k = d*b + 7, 3*k - 26 - 11 = -2*b. Calculate the remainder when 63 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 50 = 5*t, -c + 3*t + 0 = -30. Let a be ((-216)\/c)\/(-3) + (-4)\/(-20). Solve a*p = 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -165, 409, 983, 1557?\n\"Answer: 574*l - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6564 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10064468573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (32\/154)\/(-4)*(-164)\/(8200\/1750)\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 7\/8 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 3*y - 2. Let z be f(-4). Suppose 0 = 2*m + z*m + 2*v, 8 = 4*m - 2*v. Let b = 109693\/71 + -1545. Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 + -130. Suppose -w = -5*p, 3*p - 153 = -5*h + 344. 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 c = 2 - -3. Suppose c*w = 6*o - 3*o + 26, -4*w + 3*o = -22. Let x(m) = -5 - 1 + 4*m + 0*m - 4*m**2 + 3*m**2. Give x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 281\/24 - 7\/8. Calculate the common denominator of (-154)\/9*(-1 + 400\/384) and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.644 rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 132188940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -2597*y**6\/60 + 1790*y**3\/3 + 8280*y**2. What is the derivative of u(t) wrt t?\nAnswer: -15582*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 290\/13 or 21?\nAnswer: 290\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47.7 - -0.7. Let l = -0.2 - -41.2. Let k = l + q. Put 2\/9, k, 5 in descending order.\nAnswer: 5, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*b + 144, 2*b + 2*b = -4*h + 176. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/48 - 78\/(-16). Let k = r + -4. Round k to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 47, 114, 223, 380, 591, 862, 1199?\nAnswer: 1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**6\/180 - p**5\/20 - p**4\/6 + 5*p**3\/3 + 3. Let h(q) be the third derivative of r(q). Factor h(f).\nAnswer: -2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 + 132. Suppose -233 - 95 = -t*x. Differentiate -x*m**2 + 2 - 10162*m + 10162*m with respect to m.\nAnswer: -82*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*r**5 - 9*r**5 - 6*r**2 + 2*r**5 wrt r.\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 410*p**3\/7 + 654*p**2\/7 - 3980*p\/7 + 2064\/7 = 0.\nAnswer: -172\/41, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15133 + 3723 - 1176)*(0 - 2*j + 0)*(0 + 1 - 3).\nAnswer: -50344*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219 + -216. Suppose c*d = 1204 + 1262. List the prime factors of d.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {o: 2, j: 3, g: 2, l: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + (sqrt(7)*4 - sqrt(7)))**2 - (-1 + (sqrt(28)\/sqrt(2))\/sqrt(2)).\nAnswer: 23*sqrt(7) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 + b**3 - 3*b**2 + 8*b**3 + 8 - 8 + (b**2 - 3*b**2 + 7*b**2)*(15*b - b + 0*b).\nAnswer: 79*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2142294)\/(-222576))\/((-14)\/(-128))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 100\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 2631582250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26700 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*h - 451*h = -120 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 0 + 1\/3*i + 1\/2*i**2 + 1\/6*i**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 553858 or 3323155\/6?\nAnswer: 3323155\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 7*m + 7. Let i be p(7). Suppose 2*n - 12 = -2*n. Suppose -i = -n*q + 11. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 97*m = 11759659. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -30\/17, -4, -1, 4\/35, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.06, -2\/7, 20.\nAnswer: -2, -2\/7, 0.06, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/7 (b) -1 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 + 11*t + 2. Let n be w(-9). Let z be ((-4)\/(-2) + n)\/2. Let h be (z + 11)\/(2\/3). Solve -3*y = 3*s - 6, 0 = 4*s + 2*y - 2 - h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 5*m**2 + 3*m + 8. Let q be d(4). Suppose -5*f = -4*l - 248, 1 = -3*f + q*l + 145. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2620 - -2659) + (-13 - (-2 + -3 + 4))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + 29 + -118 - -56.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552611.\nAnswer: 552611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - 4*c**3 + 3*c**3 - 4*c**2 + 4*c**2 - 2*c**3 + (2 - 2 - 2*c)*(2*c**2 + 3*c**2 - 2*c**2) - 2*c**3 + 3*c - 3*c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dss when three letters picked without replacement from {d: 2, s: 2, w: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(sqrt(136) + sqrt(136)*1))\/(-1*-2*sqrt(8)*-6).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92.0000075 - 92. What is a rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n + 470 = -1035. What is the remainder when 2503 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Suppose -3*t - h = -12 - 10, a*t - 40 = -4*h. Suppose -2*o - r = -41, -r = o - t*r - 48. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 253147247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, z: 5}. Give prob of sequence www.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*b. Suppose -11*d + 15*d - 2*v + 172202 = 0, 0 = 3*d - v + 129149. Is d\/(-12)*(b - (-3)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42640 + -4?\nAnswer: 42636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -3. Let j = -2483 + 2479. Which is bigger: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30943417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 34*s**2 - 107*s - 18. What are the prime factors of x(17)?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/(-196)*((-7)\/(-42) - (-299)\/(-390)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**3 + 5*k + 7. Let d(c) = -2*c**3 + 3*c + 4. Let m(a) = -5*d(a) + 3*p(a). What is the first derivative of m(n) wrt n?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9203271 to the power of 1\/2, to the nearest integer?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/105 and -25\/1512.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 2*f**2 + 3*f + 15*f)*(4 + 0 - 6) + (-4 + 4 - 2*f)*(-2 - f + 2) + 19 - 5*f**2 - 19.\nAnswer: -7*f**2 - 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(6)*6)\/sqrt(10).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-30) - 11\/110*2*118.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 36 = -2*p, 16 = 3*b + 3*p + 52. Let k be (-4)\/18 - 74\/(-9). What is the tens digit of (k\/b)\/((-2)\/25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797501 to the power of 1\/2, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -40, -3\/2, 2\/17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 230236135 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -30, -5753, 4 in descending order.\nAnswer: 4, 3, -30, -5753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + (1*sqrt(1539) - sqrt(1539) - sqrt(1539)) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(1188\/(-192)))\/(-2*1)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 3 - (-94 + 89 + (-1 - 2))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 225\/(-525) - 20\/(-14). Let n be 38 + 27 - -7*u. Which is smaller: 367\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-99))\/(((-60)\/6)\/20)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1)*-3*(-3)\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h + 24 = 0. Suppose -h = u - 5. Let i be 0*(28\/8)\/u. Solve i = -2*g - g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + -21 - (-33 + 10).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/7566 - 146285\/68094. What is the common denominator of -167\/30 and w?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 16*c - 259. Determine f(27).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 12. Suppose o + 2*v = v + 6, -4*o - 2*v = -b. Suppose 0 = -0*l - o*l + 64. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14178\/2193 + 16\/(-2). Let l be 656\/(-4472)*271\/26. Let k = l - a. Are k and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13548696 by 3387174.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*sqrt(133))\/(sqrt(175)*6).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*h - 1040 - 3106 + 986 = 0 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*j - 30, z - 65 = -4*z + 5*j. Solve -2*m + 10 = 0, 4*q - 2*q = -3*m + z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7143703279 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-18)\/(-8))*8. What is the greatest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-2))\/((-3)\/8). Calculate the highest common factor of v and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 23229432?\nAnswer: 4645886.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576485?\nAnswer: 5, 7, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20959 is divided by 56?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-three fifths of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 18 = 2*y. Solve -4*s - 3 = y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**4 - 10785*q**3 - 2*q + 170 wrt q.\nAnswer: -12*q**2 - 64710*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 59*k - 247. Calculate q(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4025 - 3713 = -24*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*q - 12, -97*q = -101*q + 3*f + 33 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = -4*c. Let u(l) = 0*l**3 + 0 + 2 - l**c - 4 - 2*l + l**2. Is 14 a factor of u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 - 123 + 239 - 116. Let x(q) = -13*q. Calculate x(n(p)).\nAnswer: 65*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*u + 103*u = -187 + 947. Put u, 9701, -1 in increasing order.\nAnswer: -1, u, 9701","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68687\/5802 + 5\/967. Are -12 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j + 3*r, -2*r = 3*j + j + 16. Let o be (-104)\/(-36) + j - 1. What is the biggest value in -2\/9, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55899 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*b - 14 = -49, -b = -3*t - 31. Let k be (t\/(-8))\/((-2194)\/8). Let f = -33418\/9873 + k. Find the common denominator of f and 15\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 133, 102, 67, 28, -15, -62?\n\"Answer: -2*a**2 - 25*a + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 + 2*y - 1. Suppose 0 = -o + 2, -l + 41 = 5*o + 33. What is u(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8*-5.24\nAnswer: -9.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2221.\nAnswer: -4\/2221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**7\/5040 - o**6\/240 - 11*o**5\/60 - 7*o**2. Let d(a) be the third derivative of l(a). Give d(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/((x**(-28)*x)\/x*x)*x)*(x\/x**(17\/3))\/x*(x**(4\/3)\/x)**(22\/3) assuming x is positive.\nAnswer: x**(-281\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 4*i**4 + i**4)*((-2 + 0 + 1)*(-1 - 2 + 4) + 0 + 0 - 1 + (-2 - 2 + 6)*(-4 + 2 + 1)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-70))\/((-9)\/(-315))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - 48 - (-1786)\/95?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, 17, 43, 79, 125, 181?\n\"Answer: 5*u**2 + u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 9:49 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430 - -4?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + (-4)\/(-126)*(-14924)\/(-78). Sort c, -1\/6, -3, -24 in decreasing order.\nAnswer: c, -1\/6, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:58 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**5 + 2*i**3*j**3 - i*j**3 - 17*j**3 wrt i.\nAnswer: -160*i**3 + 12*i*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175764, 175647, 175356, 174813, 173940, 172659, 170892, 168561?\nAnswer: 165588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 6:08 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 4, 682.\nAnswer: -1, 4, 10, 682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288208 - 19*h - 864760 + 288277 + 288276.\nAnswer: -19*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1342, 1507, 1956, 2833, 4282, 6447?\nAnswer: 9472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 0*q**2 + 0*q**2 + (0*q - 2*q + q)*(3 + q - 3) + 5 - 5*q**2 - 1 + 2*q - 3.\nAnswer: -8*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Let k = -6 - -1. Let z = -329 - -327. Sort k, t, z in descending order.\nAnswer: t, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 1177*i - 42249. Determine l(40).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*i = 3 - 2, -5*o - 3*i - 7 = 0. Let p be 12*8\/(-4)*o\/4. List the prime factors of 2*10 + (-4)\/p*-9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 164. Calculate the least common multiple of t and 4774\/132 - (-4)\/(-24).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 0*q**3 - 3*q**3)*(-1 + 0*q**2 + 2*q**2 + 5).\nAnswer: -6*q**5 - 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/28 + 17087\/49. Which is bigger: 347 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-33\/2)\/x))\/x**(-4\/15)*x**(10\/3)\/x*(x**(-7\/5)*x)\/x*x assuming x is positive.\nAnswer: x**(217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 398*z**2 + 29*z - 84. Does 15 divide a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 739 + -42206.8.\nAnswer: -41467.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2961 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/26 - 6\/39. Suppose u = -4*r + 4*c - 108, 2*r - 2*c + 76 = -r. Let j = r + 54. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b4 + 16a?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576081 is divided by 1270?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1813686 = 22*j - 23*j + 32*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2154 is divided by 296?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 28 + 36 = 2*l, -8 = -2*l - 5*c. Let n(i) = i**3 - 5*i**2 + 3*i + 8. Give n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65400, -65377, -65308, -65169, -64936?\nAnswer: -64585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 - 15*u**2 - 280*u**3 + 87*u**3 + 97*u**3 + 94*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 2\/3 (c) -0.5 (d) -0.055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/297892 and 16\/21.\nAnswer: 893676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-140)*1 - (-1920608)\/(-26320)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/37279032 and -89\/12426344?\nAnswer: 37279032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**3 + 208*b**2 + 1700*b - 4264 = 0. Calculate b.\nAnswer: -41, -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7840 and 7351760?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 407, 856, 1365, 1940, 2587, 3312, 4121?\nAnswer: 5020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 3. Let i be (-22)\/(-99) + (-68)\/(-18). Suppose g = -b, b + 3*b = i*g + 32. Calculate q(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 + 0*s - 4*s**3 + 23*s**3 + 1 + 0*s - s**2 - 4*s**3 as r*s**3 + o + y*s**4 + w*s**2 + g*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 - 12. Let l(t) = -t**2 - 21*t + 50. Let r be l(3). Let j be (-4)\/r + 72\/(-33) + 2. Calculate f(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*b = 112, 2*b - 259 - 345 = -5*l. What is l rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81936086 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5 - -5)\/12)\/1. Let l(p) be the second derivative of 0 + 0*p**4 + 20*p + 0*p**2 - 1\/40*p**6 - 9\/40*p**5 + z*p**3. Solve l(a) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y**3 - 11*y**2 - 4*y + 13. Let o(x) = 4*x**3 - 5*x**2 - 2*x + 6. Let d(p) = 7*o(p) - 3*u(p). What is d(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 12:35 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4 - 4194\/56. Let c = f + 74. Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -14. Let w be (3 + -1)*(-20)\/r. Let p be 3*(3\/(-1) - -2). Sort w, 5, p in decreasing order.\nAnswer: 5, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -400*p - 9. Let b(h) = 6800*h + 150. What is -50*a(y) - 3*b(y)?\nAnswer: -400*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - i - 4139. Let u(m) = 2*m. Calculate a(u(q)).\nAnswer: -4*q**2 - 2*q - 4139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245427311.\nAnswer: 11597, 21163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129 + -105. What is the highest common divisor of j and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j - 1. Calculate l(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(128)\/sqrt(2))*-3)\/((sqrt(288)*-2 - sqrt(288))*-4*-2).\nAnswer: sqrt(5)\/384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -974 divided by 487?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -1\/3*h**3 - 5\/2*h**2 - 29*h + 0. Determine a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -38 + 2 - 6*d + 5 - 18. Let h be t(-10). Suppose 12*l - 1537 = h*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 96. Let l = w - 48. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - s - 5, 0 = 3*u - s - 16 + 1. Suppose -h - 3 + 13 = 4*x, -14 = -2*x - u*h. Find the third derivative of 0*z**2 + 8*z**3 + 2*z**x - 9*z**3 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + 44?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 4325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*y - 0*t - 60, -20 = -4*t. Suppose -y*a + 21*a - 10 = 0. Let 8\/5 + 76\/5*f**a - 84\/5*f = 0. Calculate f.\nAnswer: 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998379 a multiple of 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108286 - -176637. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -6*m**2 - 3*m + 3 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**3 - 8*c**2 + 16*c + 106. Give b(-6).\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 4. Let w be k(9). Solve w*z - z = 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 19*v + 10296 = 0. Let t = 921 - v. What are the prime factors of t?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -102*a - 414. What is f(8)?\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 135456 - -3?\nAnswer: 135459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92911904 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(34323\/6730 + (-2)\/(-5)) + (66 - 0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3571090 + -2?\nAnswer: 3571088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 42028067 and 42028067 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1061 - -1068. Let m(d) be the first derivative of -1\/36*d**4 + y - 4\/9*d - 5\/27*d**3 - 4\/9*d**2. Let m(u) = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*j + 6*j**2 - 6*j**2 + 6835*j**3 - 201*j - 91*j.\nAnswer: 6835*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -210202 (base 3) in base 13?\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-27)\/(-72)) - (4 - 59678). What is r rounded to the nearest 1000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c - 4. Let k(d) = 12*d + 3. What is -4*k(a) - 3*n(a)?\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 15*v - 116. What are the prime factors of f(37)?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494801827 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 457550213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -133325433?\nAnswer: 133325432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243221121 - 133?\nAnswer: -243221304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from rroooorroorooo?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a**2 - 2*a + 5. What is x(-3)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 30. Let o(d) = s*d - 11 + 20 + 6 - 4*d. Let f be o(16). Put f, 3, 1 in increasing order.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 - (1 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 + (-1 - 0). Solve -2*r + 8 = -f*i, 2*r = 3*i - 8 + 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*d - 237*d = -11825 + 1689 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/28*(-4)\/(-7). Let v = x + 117\/931. Let d = -0.59 + 0.19. Which is the closest to 0? (a) v (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 3 + -10 + -10?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/19 - 86812864*i\/19 - 86812866\/19.\nAnswer: 2*(i - 43406433)*(i + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 1:06 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4c4c3 (base 13) to base 11\nAnswer: 972a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1749 is divided by 191.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (756\/(-45))\/((-6)\/15). Solve -105 = -49*o + s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 - 94. What is the least common multiple of 63 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 114*o - 1619. Calculate l(-16).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 34 (c) -2 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213 (base 7) in base 12?\nAnswer: 7a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*l + 3)*(-l**2 + l**3 + l**2) + (0*l + 2*l - l)*(-l**3 - 7 + 0*l**3 + 2).\nAnswer: 2*l**4 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33923 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 20, 4*d - 2026 = 3*d + 22*y - 1864 for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (496\/(-558))\/(4\/(-3)). Put y, 5, -2\/57 in ascending order.\nAnswer: -2\/57, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 12) to base 13.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7951, 8386, 9083, 10036, 11239, 12686, 14371?\nAnswer: 16288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -68*y + 42. Let t be l(4). Let g be ((-22)\/99 - t\/(-18)) + -2. Which is the nearest to 0? (a) g (b) -3\/8 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6197 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, 90\/827, -1, 0.3, -5 in ascending order.\nAnswer: -5, -1, 2\/31, 90\/827, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184608 divided by 16?\nAnswer: 136538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 1:03 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5243 + 5287. Solve -79 + o = 5*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1084141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let x be 2*(1*2 + -1). Let f(i) = i**3 - 14*i**2 + 2*i - 14. Let m be f(14). Let c(v) = -m*v**2 + 36*v**2 - 11*v**x. Give c(d(w)).\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 42\/6 + -6. Put o, 1, 1\/2, -3\/2 in decreasing order.\nAnswer: 1, 1\/2, -3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: c4 (base 14) to base 15\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5773.358 to the nearest ten.\nAnswer: -5770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 46, 62, 96, 154, 242?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1026032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3 + 3\/(-1). Suppose -k = -h - 3. Solve 5*s = 10, -2*s = -y - 3*s + k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**3 - 39*i**2 - 62*i - 21. Let g(m) = -2*m**3 - 14*m**2 - 21*m - 7. Calculate -4*a(h) + 11*g(h).\nAnswer: 2*h**3 + 2*h**2 + 17*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 19. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**4\/8 - 4*q**2. Let i(r) = 3*r**2. Calculate i(l(u)).\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-9)*120\/(-40)*630\/5950.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 5*m + 12. Calculate w(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*3 + ((3*sqrt(52))\/sqrt(4))**2 + sqrt(26)\/(sqrt(2)*2) + (2*sqrt(832))**2)*-5.\nAnswer: -17225 - 245*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/3)*v)**27)**25)**47 assuming v is positive.\nAnswer: v**10575","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113.14 + -113.1. Is -14\/11 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*(12 - 438). Suppose 4*j = 3*k - 102, 5*k - 5*j - g = -38. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25480499, 50960999, 76441499?\n\"Answer: 25480500*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112149?\nAnswer: 3, 17, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213256 is divided by 201.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.12 (b) 269 (c) -1\/5 (d) 4 (e) 2 (f) 1\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -442 + 442.247. Let n = -0.047 + g. Which is the third biggest value? (a) 2 (b) 0.4 (c) n (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 11*y - 5 + 10)*(-595 - 47*y**2 + 595).\nAnswer: 517*y**3 - 1034*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r**2 - 1094*r + 2652. Determine d(120).\nAnswer: 972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/173471424 and 47\/14828?\nAnswer: 1908185664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 181.2323 grams?\nAnswer: 181232300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 1844, -2375.\nAnswer: -2375, -5, -3, 1844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70471 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: What is the greatest common factor of 1855 and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*a - 4. Suppose a*d - 24 = 2*p - d, -p - 22 = -5*d. Let z(w) = -246*w - 1. Is z(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1366 + 1366.6. What is the second biggest value in 2, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -425, -633, -841, -1049, -1257?\nAnswer: -1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28911 is divided by 53?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57138 in 0.05, -0.3, -2\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 + 125.92. Let j = s - -0.08. Let w be 1 + -2 + 9\/15. Which is the smallest value? (a) w (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -110?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222202222 + 2?\nAnswer: -11222202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 50.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - ((-1736 - -1740) + (-1 - -1) + -10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 19*b**3 + 7*b + 21*b**3 - 9 + 34*b**3.\nAnswer: 36*b**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 + 3. Let s = -124.7 - -125.7. What is the nearest to 1\/8 in y, s, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134718959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4a307 (base 15) to base 13\nAnswer: 83ac7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cb74883 - 4?\nAnswer: -cb74887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-2*3\/(-21). Let h(s) = s + 5. Let l be h(4). Suppose 3*d - 4 = 2*k, 8*k - l = 3*k - 2*d. Which is greater: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/(-81) - (-22)\/15. What is the closest to -0.2 in f, 3, -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2839 and 52?\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 73*k - 120. List the prime factors of d(11).\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + -14 + (59 - 51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.79 less than -117735789?\nAnswer: -117735776.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from {p: 4, a: 1, n: 2, j: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-42)*-8*1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5450 + -5378. Calculate the lowest common multiple of m and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915589 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(1 + -1)\/2. Let i = 2 + l. Differentiate -3*o**i + 3*o**2 + 3 + 2*o**2 with respect to o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**3 + 1375*h**2 - 1376*h**2 + 4*h**3 to the form g*h**3 + d*h + r*h**2 + a and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.1 (c) -29869 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 3.44?\nAnswer: 6.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 8:29 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -50.6. Let v = -1 + 1.3. Let j = v - 0.8. Put s, j, -2\/9 in descending order.\nAnswer: -2\/9, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-39))\/m*m\/(m*m**(-8\/9)*m)*m**(-36)\/m**(-37) assuming m is positive.\nAnswer: m**(359\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 2. Let g be x(-4). Let y be -1*(1 - 5)\/g. Suppose 3*u + 9 = -y*f, 2*f + u = 4 - 3. Solve 8 = -2*o, -f*o - 4 = 2*t - 0*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 21. Let a be 33\/77 - ((-33)\/21 - -2). Determine b(a).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -623.261 to the nearest integer.\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12*l - 83. Let u be o(-7). Suppose u = -g, -4*a + 0*a + 5*g + 21 = 0. Let f = 5.04 + -0.04. What is the closest to -2 in f, -3\/7, a?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 15) to base 2\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5948344, 5948591, 5948836, 5949079, 5949320, 5949559?\n\"Answer: -g**2 + 250*g + 5948095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-633)\/(-844)*38\/(-3))\/(5*(-2)\/(-60))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = -0. Suppose c*o = 21 - 5. What is the third derivative of 2*f**4 + 3*f**4 - 3*f**2 - o*f**4 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1468*z - 1452747 = 1379*z. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6 = -3*q + 4*g, 2*g = q - 4. Let h(n) = -5*n**2 - q*n**2 + 6*n**2. Let i(s) = -s**2. What is i(h(k))?\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k + 30*k - 1 - 5 + 8*k**2 - 2*k.\nAnswer: 8*k**2 + 8*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + 18*n + 7. Let x be h(-7). Suppose 0 = -2*s + x + 185. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165430 rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 57?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:44 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5825933 or 5825932?\nAnswer: 5825932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 712*j**3 - 3*j**2.\nAnswer: -712*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35882707 and 0.4.\nAnswer: 35882707.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bb4 + -115?\nAnswer: -cc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102478 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 13*y. Suppose h = -4*u + 1105, 2*u - 6*h - 525 = -h. Let l(i) = -u + 19*i + 139 + 136. Give l(b(d)).\nAnswer: 247*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, q: 14}. What is prob of picking 3 k?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 0, -54 in decreasing order.\nAnswer: 0, -2, -10, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 15. Let v be (-5)\/(h - 3\/(-6)). Let t be 2\/(-4) - (-10)\/4. Solve 4*d - t = v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 + 67 = -26*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.589 rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81336 (base 9) to base 14.\nAnswer: 156cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 859 - 102*i - 859 as p + z*i and give z.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 2:03 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/23)\/((t\/t**3)\/t)*(t*t**(-3))\/t**1 assuming t is positive.\nAnswer: t**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*d - 3*q + 28, -d = 4*q - 25. Suppose -5*n = -3*i, 13*n - 16*n = -i. Solve 2*z + z = 4*a - d, n = z + 4*a - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let k(g) = 3*g**2 - 5*g**2 + g**2. Calculate k(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 81872091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2446975 + -44?\nAnswer: 2446931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 593 + -87. Let y = -467 + m. What is the greatest common divisor of 195 and y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -2*j**7\/21 - 4*j**6\/15 + 2*j**4\/3 + 2*j**3\/3 - 134*j. Let y(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 12:51 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/2 + 9\/14. Let f be (-3)\/(-15)*(-1 - 0). Is f bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-10))\/(404\/(-505))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**4\/12 - h**3\/6 + 3*h**2\/2 - h. Let k be i(0). Let r be k\/(-15) - 21000002\/(-10). Round r to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61\/(-2135))\/((-6)\/14)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -116.4 from -72607.\nAnswer: -72490.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 235730*r**4 + 170*r**3 - 340*r**2 + 14576 wrt r?\nAnswer: 5657520*r + 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1312 rounded to 3 decimal places?\nAnswer: -0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -913 = -2*o - 649. Let h(x) = -9*x**2 - 4*x + 1. Let l be h(-4). Let d = o + l. Let j(a) = -a**2 + 2*a - 5. Give j(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195162238*s**3 + 45*s**2 - 622125*s + 1?\nAnswer: -1170973428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.695 - 4.695. Let p be 3\/((-12)\/5) + 1. Let v = -6 - -5.7. What is the third biggest value in p, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 19*t - 325. Let h(w) = -w**2 + 21*w + 74. Let g be h(t). Factor -5\/3*i + 1\/3*i**3 - 1 - 1\/3*i**g.\nAnswer: (i - 3)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118901?\nAnswer: 118901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6068.\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*i**3 + 3*i**2 + 3*i + 11225 with respect to i.\nAnswer: -84*i**2 + 6*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 5:39 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 20, o + 100 = 4*i - 9*i. Let f(b) = b**3 + 6*b**2 - 5*b - 6. Calculate the remainder when f(-6) is divided by (-6)\/(-21) + (-267)\/i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.321651 rounded to 2 dps?\nAnswer: 3.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 280 + -278. Let h(j) = -j**3 + 12*j**2 - 15*j + 6. Let q(i) = -9*i**3 + 120*i**2 - 150*i + 60. Let o(b) = c*q(b) - 21*h(b). Factor o(t).\nAnswer: 3*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.721 + -3.221. Let v = 0.225 - 0.125. Put d, v, 4, -158 in decreasing order.\nAnswer: 4, d, v, -158","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366 and 14579.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632 = -21*b - 758 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51872765?\nAnswer: 5, 7, 31, 47809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/39854163?\nAnswer: -2\/39854163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h**3 + 11*h**3 + 11*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07522092 rounded to 3 dps?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**5 - m**4 - 1123*m**2 + 2461*m - 3?\nAnswer: 60*m**3 - 12*m**2 - 2246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f - 140 = 0. Suppose 0 = 2*s + 5*g - f, -2*g = -6*g. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72271, 14, 101 in descending order.\nAnswer: 101, 14, -72271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/8 - -8 - -8. Let l be (-10)\/(-16)*((-57)\/(-15))\/(-19). Which is greater: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4)\/(22796\/(-2641) - 1*-9)\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-538)\/4)\/((-5)\/10). Let t = u - 66. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4484423, 8968846, 13453269, 17937692?\n\"Answer: 4484423*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31 and 10.7?\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205233 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3\/3 + 15*d**2\/2 - 20*d - 601. Let f be (-3)\/(-2 - (-100)\/56). What is h(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-8 - ((0 - 7) + 0 + -22)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 = 0, -2*b + 2*y + 0*y = -18. Let j(k) = -56 + 12 + 27 + 47*k. Is j(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.8. Let h be ((-50)\/20)\/(255\/(-102)). Sort h, -2, s, 2\/19.\nAnswer: -2, 2\/19, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 510 - 255 - 14*d**2 - 258 + (-4*d + d + 2*d)*(2*d + d - 4*d) + d**2 - 3*d**2 + 3*d**2 + (3*d + 2*d - 3*d)*(d + 0*d + d).\nAnswer: -8*d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 358*g**4 + 9305*g**2 + 45058330.\nAnswer: 1432*g**3 + 18610*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w\/(w*w*w*w*w\/(w*w*w*w**6)*w))\/w)**(-8)\/(w**6*w**(-11\/3)\/w))**26 assuming w is positive.\nAnswer: w**(-3224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37469 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 4. Let s(c) = -c**2 - 12*c + 12. Let r be s(-12). Suppose -3*l + r = -3. What are the prime factors of g(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3991 = 21*z - 230. List the prime factors of z.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/7 (b) 2\/2083 (c) -2 (d) 0.4 (e) -4.2 (f) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 2803*o**4\/2 + 2072*o**3\/3 + 1285. What is the third derivative of g(r) wrt r?\nAnswer: 33636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1)\/5 - (-12)\/35. Which is the smallest value? (a) 0.1 (b) 8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(80) + (0 + sqrt(80) + sqrt(80))*4 - (sqrt(80) - (3 + sqrt(80) + 0)))*-2 - 5*-4*(1 + sqrt(80)*-2)))**2.\nAnswer: -6960*sqrt(5) + 269345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 10, a + 0*a + 3*d - 17 = 0. Sort -6, 1, 0, a.\nAnswer: -6, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, n: 5, t: 1}. What is prob of picking 2 n and 2 j?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3. Let w = -26 + 38. Let i be -1 + (-28)\/w + 4. What is the smallest value in -2\/7, u, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8134 = -a + 5*j, -891 = 2*a + 4*j - 17201. What are the prime factors of a?\nAnswer: 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18544724 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 2. Let o(y) = 7*y - 5. Let t(v) = -5*i(v) - o(v). Let z(u) = -u - 4. Determine -5*t(p) + 6*z(p).\nAnswer: 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 35. Let f(p) = 3*p**2 - 12*p + 17. Does 25 divide f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.313 and -2786922673351?\nAnswer: 2786922673351.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9884629493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195668 is divided by 359.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 3906872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 415*l**4 - 401?\nAnswer: 1660*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(21\/3)*101500\/580?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/51)\/(3*(-6)\/27)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 518 - 515. Let y(j) = j**3 - 3*j**2 - 3*j + 2. What is y(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.2 + 16. Round j to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -3, 2, -5, 25 in descending order.\nAnswer: 25, 8, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/5, 0.81, 48.\nAnswer: -11\/5, 0.81, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794282200.\nAnswer: 2, 5, 3971411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -548*r - 3479. Is x(-12) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10036 by 5018.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*j - 2. Calculate the greatest common divisor of 54 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 217038 times -113\nAnswer: -24525294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 f when three letters picked without replacement from bbffbebbbbfebebbbb?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q = -123232 + 49252. List the prime factors of q.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5746*f - 212651. Calculate y(-37).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*k**5 - 3*k**4 - 30*k**3 + 18*k**2 + 1543*k wrt k?\nAnswer: -1860*k**2 - 72*k - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 8*d = -3*d, -15 = -4*t + 5*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6570 greater than or equal to 26285\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9432174 + 1?\nAnswer: 9432175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 0.15 (c) 4\/19 (d) 0.3 (e) -125 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(-420) + 2\/(-15)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*g - 49*g = 40*g + 4*m + 157, 4*g - 3*m - 134 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -13*n**3 + 3*n**2 + 6*n - 10. Let o(f) = 2*f**3 - f + 1. Suppose -49*w = -75*w - 26. Let u(l) = w*g(l) - 7*o(l). Factor u(r).\nAnswer: -(r - 1)*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -2 - -8 - (-7 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, 4, 8, -0.14, -178 in ascending order.\nAnswer: -178, -2, -0.4, -0.14, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 0 + 527 + -501.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48\/85 - -30\/17. Let y(h) = h**3 + 3*h**2. Let v be y(-3). Suppose 5*b - 3*l - 11 = v, 2*l + l + 4 = -2*b. Is i at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 122\/(-15) + 10 - 8\/(-10) - -2. Let x(t) = t**2 - 7*t - 13. Let v be x(9). Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 18. Let m = q + -16. Put 0, m, 2 in increasing order.\nAnswer: m, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103\/5*m - 672\/5 - 1\/5*m**2 = 0. What is m?\nAnswer: 7, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26020316*o + 30282536.\nAnswer: -26020316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 25. Let l = a - 3. Suppose -l*q - 12 = o - q, -4*o = -2*q - 24. 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 smallest common multiple of 26 and 1056?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 2 + 9 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + ((-14416)\/106 - -123)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 4*q - 404, -38909*q = -5*f - 38892*q + 439 for f.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, 5, 85, -4 in decreasing order.\nAnswer: 85, 14, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 286.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4073*a**4 + a - 574 wrt a?\nAnswer: 48876*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2514013.\nAnswer: 2514013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5718.\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*a - 3*a = 37, -2*a = b + 22. Let i be (1 + 10\/(-4))\/(b\/40). Solve 5*x + 19 = -1, i*x = 2*d - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 1 o when three letters picked without replacement from qjglfglfoloj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**6\/120 - 2*r**5\/15 - 37*r**4\/24 - 9*r**3\/2 + 37*r**2. Is v(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1015307127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*y + 15 = c - 319*y, 3*c - 5*y - 85 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -45. Suppose -2*g = -g - f. What is the greatest common factor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, m: 15}. What is prob of sequence mxmm?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1960623 not equal to -1960620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 4:42 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -330, 7, -129, -4 in decreasing order.\nAnswer: 7, -4, -129, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9a944f + 0?\nAnswer: 9a944f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + -4*sqrt(63)*2)**2.\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 10*v**2 + 12*v + 2. Suppose -36 = -2*c - c. Calculate the remainder when m(-8) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 29*w**2 - 57*w + 8. What is f(31)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 75.28445?\nAnswer: 75.28445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -43. Suppose -u = -0*g - 2*g. What is the remainder when 16 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 59. Let q be -62*(-2)\/(-8)*2. Let h = q - t. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -48. Suppose -3*a + 6 + m = 0. Suppose 4*o - 239 = -a*f, 9 = -6*f + 3*f. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1149, -2338, -3527, -4716, -5905?\nAnswer: -7094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*j + 20 = 0, -3*u - 2*j + 4*j = -14. Let c be -1 + (-1)\/(1\/u). Let i(g) = 16*g**2 - 2*g - 5. Is 14 a factor of i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.5351 rounded to 1 decimal place?\nAnswer: 111.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -45. Let m be (414\/(-54))\/(1\/d). Find the common denominator of -1*(-996)\/m + (-2)\/(-12) and 69\/22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66960899?\nAnswer: 31, 2160029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 9*l - 6*l. Suppose 31905 = -5*j - l*g, 3*j - 2*g + 25524 = -j. Find the common denominator of (-2)\/(-7) - j\/378 and -5\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144183917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -116, -4, -3, 1158, 1, 2, 0 in ascending order.\nAnswer: -116, -4, -3, 0, 1, 2, 1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 201277\nAnswer: -3622986","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p + 36 = 0. Let t be 66\/8 - (-3)\/p. Suppose -3*q = -t*q + 45. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 = -14*v - 27*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3*6\/9)*-10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.25 (c) 372\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2578, -2560, -2516, -2434, -2302, -2108, -1840?\n\"Answer: 2*h**3 + h**2 + h - 2582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 1, f: 1, m: 3, k: 1}. Give prob of sequence fmmj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 0.2. Let r = -44 - -133\/3. Let h = -164 - -1478\/9. What is the nearest to 0.1 in n, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 = 2*v - 9, 3*c = v - 3. Solve v*b - 20 = 2*i, 0 = -4*i + 2*i + b - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.518 + -0.518. What is the third biggest value in v, 0.1, 4, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 72. Let z be s(-8). List the prime factors of 6\/8 - (-30160)\/z.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 619.00000658 + -619. Round l to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -237097?\nAnswer: 711291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 4*c**7\/21 + c**4\/3 - 8*c. What is the third derivative of q(r) wrt r?\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 = 3*s. Let w(a) = -2*a**2 - 2 - a**s + 4*a**3 - a + 4 - a. Let z(p) be the second derivative of -p**5\/20 - p**2\/2 + p. Calculate w(j) + 2*z(j).\nAnswer: j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 5.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 8. Let b be n(4). Suppose 0 = -3*x - t + 2*t + 54, 4*t = -b*x + 88. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533.9171 millilitres to litres.\nAnswer: 0.5339171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168729126 to the nearest integer?\nAnswer: 12990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3827244, 7654443, 11481642, 15308841, 19136040, 22963239?\nAnswer: 26790438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*y - 23. Suppose 224 - 35 = y*w. Let j(p) = p**3 + 7*p**2 + 4*p - 2. Let l be j(-5). Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552875020 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -467371*s - 9814851. Determine g(-21).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 242923, 242903, 242861, 242791, 242687?\n\"Answer: -z**3 - 5*z**2 + 2*z + 242927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from vivqqgigg?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = g, 5*o - 5*g + 8*g - 5 = 0. Let m be 1 + o + (-8)\/(-4). Let w = 0.27 + 2.73. Which is the nearest to -1\/2? (a) w (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22813*s**2 + 12641*s**2 + 795*s**3 - 25*s**3 - 38*s**4 - 19473*s**2 + 33*s**4.\nAnswer: -5*s**2*(s - 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 - 23468*h\/9 - 117290\/9.\nAnswer: -2*(h + 5)*(h + 11729)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g + 30*g + 5*g + 24*g.\nAnswer: 43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 29 - 83 + 124*r - 24. Is 42 a factor of n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4181554 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -712*s**2 + 0*s + 233*s**2 - 2*s + 242*s**2 + 240*s**2 + 119 in the form i*s + l + m*s**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 59*i - 57*i + 1136, i + 1712 = 6*h. Calculate the remainder when h is divided by 64.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 125 = 5*u, 2*u - u - 3*k = 41. Suppose 4*w + g - 11 = u, -15 = -3*w - 5*g. Calculate the greatest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/(1*-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 10, 1, 0, -772 in descending order.\nAnswer: 39, 10, 1, 0, -772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g - g + (-1 + 3 - 3)*(2*g - 3*g - g) + 4 - 4 - g - 2*g + 3*g - 2*g + 0 + 0 + 3*g)*(11 + 4*g - 11) + (0*g + 0*g - g)*(-3*g + g + 0*g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13098.52mg to nanograms.\nAnswer: 13098520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 39. Suppose 0 = 6*u - 2*u - 12. Suppose -u*w = -13 + 1. Solve -a = o + w*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**4\/12 - 2*g. Let s(h) = 4*h**2 + 7*h + 7. Let c(n) = -2*n**2 - 4*n - 4. Let m(i) = 7*c(i) + 4*s(i). Give m(u(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:18 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79476*j + 103953*j + 139656*j.\nAnswer: 323085*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*j - 1371 + 1218 + 4487 = 0 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 7:26 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 15 + 0 = 0. Let p = r - -3. Let c be p + (-6)\/3 + 6. Solve -c*j = -o - o + 16, -o + 17 = -5*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 8*r**2 - 10*r. Suppose -4*l + 63 = 43. Suppose 20 - 6 = 3*a - 5*t, -5*a = -3*t - 50. What is the remainder when i(l) is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111 (base 2) in base 5?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 33 + 43, 54*i - 4*w + 394 = 188*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 - 339*v**2 + 664*v + 291. Determine d(111).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6527 is divided by 182.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**2 - 179650206*x - 2689516376320203 = 0.\nAnswer: -29941701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -72750299 and 0.07.\nAnswer: -72750298.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 58 = 23*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -2)*(-4)\/(-6). Let x be d\/(-5) - (-32)\/(-5). Let q(k) = -k + 8. Is 14 a factor of q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 48*i - 344. Determine s(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1241 = -16*d - 68*d + 11*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113 and 8249.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-8))\/((-14)\/4). Let j = 0.38 - 0.08. Sort -4, d, j in ascending order.\nAnswer: -4, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 4)*(-69 - 12*p + 69) in the form g*p + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*l - 11, -6 = y - l + 4*l. Let p = y - -7. What are the prime factors of 615\/55 + p\/(-22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 1 = -46 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 + 1097. Suppose 4*o - 8682 = -j. What is the units digit of o\/22 - (-4)\/22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100 + 207787055.\nAnswer: 207786955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 4, 73, -3 in descending order.\nAnswer: 73, 4, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (58 - 58 + 13*m)*(0 + 0 - 1) in the form z*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + 2\/(-3). Let z be -2*(-3)\/12 - 10\/20. Suppose 11*o + 29*o - 1560 = z. Sort o, t, 0.\nAnswer: t, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q\/((q*q*(q*q\/(q*q**15\/q*q*q))\/q)\/q))*q))\/q)**(3\/25))**(-2\/17) assuming q is positive.\nAnswer: q**(-84\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -847.5?\nAnswer: -423.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:06 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**4 + 831*l**3*u - 23*l**2*u + 13*u wrt l.\nAnswer: 48*l + 4986*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/35)\/((-2)\/(-7)). Differentiate 7 - 1 - v + p + 0*p wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*o = -3, -u - 4*o + 1 = 10. Find the first derivative of -u*h - 2 + 3*h + 3*h wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, -1150, -4, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.49 + -0.49. Let c = a + -31. Let d be ((-1)\/(-9))\/((-1)\/(-3)). What is the closest to -1 in d, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(6\/2) - (-17)\/1 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 451 - 290. What are the prime factors of q?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 5 + 3 + 6 + 3*l**2 - 9*l - 12*l**2. What is the units digit of o(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 928*v**3 + 0*v**2 - 945*v**3 + 1880*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 20241.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqqttttttt. What is prob of sequence qtq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 19 = -4*a, -3*q = -2570*a + 2569*a - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2420\/13 + 186. Let r = 0.65 + 3.35. What is the nearest to 2\/5 in f, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14210 - 14208. Put 12, -21, q, -3, -2 in decreasing order.\nAnswer: 12, q, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3996, -11957, -25232, -43827, -67748, -97001, -131592, -171527?\n\"Answer: -m**3 - 2651*m**2 - m - 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 0*f + 5*f + (4 - 1 - 1)*(-2*f - 2*f + 3*f) - 2*f + 0*f + 0*f)*(-23*f - 6*f - 2*f).\nAnswer: 93*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -453\/2 or -228?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/47 in 3, -3, 7, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*s**4 - 2*s**4 - 4*s**4 - 3*s wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -60, 224, -4, -5, 6, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451\/(-5719)*(-1680)\/(-9)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w + 3 + 2 - 10*w + w**2. Determine a(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107725.\nAnswer: 5, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -42*y**2 + 4*y + 4. Let a(w) = 42*w**2 - 5*w - 5. Give 3*a(h) + 4*r(h).\nAnswer: -42*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqg when three letters picked without replacement from pgkqxxxx?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**3 - 9*s**2 + 13*s + 13. Let v(u) = u**3 - 2*u**2 + 3*u + 3. Let w be 6\/1 - (1 + 3). Let k be (-60)\/50*(3 + w). Determine k*a(m) + 26*v(m).\nAnswer: 2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 586 or 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/888 and 97\/28.\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044769691 to the power of 1\/3, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3330 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 461483299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 4*a**3 + 2*a**3 + 5*a**3 + (2 - 2 + 2*a**2)*(11895 - 254*a - 11895).\nAnswer: -505*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**2 + 2*j**2 - 33*j**5 + 32*j**5 wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/880 and 17\/320.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-300)*(-16)\/5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 741*w**3 - 9702 + 9702.\nAnswer: 741*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 35.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(4*f**4 - f**4 - 2*f**4) - f**4 + 5*f**4 - 2*f**4 to the form p*f**2 + o + a*f + b*f**3 + q*f**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 0, -3 = -0*m - m - 5*i. Suppose -3*x - q + 161 = -m*q, 3*q - 281 = -5*x. Suppose 4*o = 3*b - x - 578, 3*o = -2*b + 422. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68236 and 232?\nAnswer: 3957688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001826 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286315 and 416930.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 1:00 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/12 + (84\/(-16))\/7. Suppose 0 = 4*m - g*v - 25, 2*m + m - 40 = -2*v. Let h be 2*m*(-43)\/1. What is h rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5960 is divided by 1977?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2\/81, 6\/36025, 2\/7 in descending order.\nAnswer: 1\/3, 2\/7, 2\/81, 6\/36025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26080046 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19793, -39510, -59225, -78938, -98649, -118358?\n\"Answer: z**2 - 19720*z - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10538552.95999695 + 10538550.3. Let t = r + 2.66. Round t to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amxxxxxxlxaymmoyxax. Give prob of sequence aml.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l*v**3 - l*v**2 + l*v + 4*l + 6*v**6 - 114*v**4 + 55*v wrt v?\nAnswer: 6*l + 720*v**3 - 2736*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -10 - -8) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = 33*m + 135. Calculate the remainder when 22 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19 + -11 - (-48)\/(-6). Suppose -24*c - 1073 + 6041 = r. What is the greatest common divisor of c and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 + 93.088. What is q rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/3 + 4\/(-6). Let z(u) be the second derivative of u**5\/20 + 2*u**4\/3 - 3*u**3\/2 + u**2 + 2245*u. Calculate z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((26 - (-16790)\/(-2093)) + -18)*-1.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -3 (c) -0.3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 19854266*q**2 - 2*q.\nAnswer: 19854266*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215236*z**3 + 3*z**2 + 21483*z + 1 wrt z.\nAnswer: 1291416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52592497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6093585 divided by 855.\nAnswer: -7127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-20))*l)**47\/(l**(6\/13))**(-22) assuming l is positive.\nAnswer: l**(-11477\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, h: 4, r: 8}. What is prob of picking 2 h and 2 b?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*b + 5*x, -3*b - 4*x + 5 = 1. What is the lowest common multiple of 6 - (0\/(-1) + 1) and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + 1 + 29 + (26 + -101 - -28).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**5\/5 - 3*h - 4. What is the derivative of z(q) wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4975896 nanograms to kilograms.\nAnswer: 0.0000000000004975896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25947, -52045, -78171, -104325, -130507?\nAnswer: -156717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2472.32 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -213*c**3 + 43873*c**2 + 1009*c + 4319. Give z(206).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5771*x - 34309. Give r(6).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0*g + 0 + 1\/12*g**4 - g**2 + 0*g**3. Let v(n) = -n**2 + 0*n**2 + 2*n**2. Determine u(v(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 266218, 266215, 266212, 266209?\n\"Answer: -3*f + 266221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -9. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(3\/2))\/s))**25*s\/(s**(16\/7)\/s)*s*s*s**(2\/43)*s*s assuming s is positive.\nAnswer: s**(-5261\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/13840 and -71\/8982160.\nAnswer: 8982160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 11*d - 27. Let x be p(-6). Suppose 10*w = 5*w. Suppose 5*z - x - 7 = w. Solve -z*s + 6*s = 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1222 - 1219. Let b = 11 + -7. Is b equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 - 2*v + 2. Let o(u) = u**2 - 4*u - 7. Let r be o(6). Suppose -t + 24 + 27 = r*a, 0 = 5*a + 4*t - 54. Suppose 0 = -5*z - a. Determine g(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 12 = 4*a, 16 = p + a - 15 + 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:08 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 22 + -17 + 12 + -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0459 - 19\nAnswer: -19.0459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 751.1 - 750.7. Which is the nearest to -1\/3? (a) 53\/14 (b) 2\/13 (c) -1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1383*a**2 + 6*a - 6. Let s(w) = -922*w**2 + 4*w - 4. Calculate -5*p(y) + 7*s(y).\nAnswer: 461*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -527.9922 to one decimal place.\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157971 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*d + 1. Let j(x) be the first derivative of -6 + 3\/2*x**2 - x - 1\/3*x**3. Determine j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 26488746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*l = -13, -4*l - 27 = z - 0*l. Do -6 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -79, -175, -309, -481, -691?\n\"Answer: -19*k**2 - k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.15 - 6.9.\nAnswer: -2.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w**2 + 1058\/9 + 184\/3*w = 0 for w.\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8508*n - 25473 = -9531*n + 22894 + 737 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -3\/5 (c) -0.073 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 1 = 3, 0 = -2*l - i + 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r. Let q(w) = -25 - 9 - 2*w + 51 - 17. Determine 5*q(y) - 2*v(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d + 5. Suppose 14*s + 16*s = 30. Let n(i) = -s + 2 - 1 + 6*i - 22*i + 16. What is 3*n(o) - 10*u(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 10) to base 13\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9112 = -2948. Is d a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 152\/3 (b) 0.2 (c) 5\/3 (d) 0.117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 539 divided by 49\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 416167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 f when four letters picked without replacement from {p: 8, v: 1, f: 5, r: 4}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4 = 32*b - 30*b, -4*x = 5*b - 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 223.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02833 rounded to 4 dps?\nAnswer: 0.0283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 58*f = -55*f + 18, 5*k = -f + 10. Let c = 8.4 + -0.4. What is the nearest to c in k, -0.2, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1307 + 2616 + 27*b**2 - b - 1309.\nAnswer: 27*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z + 0*z)*(-2 + 2 - 5)*((2 - 5 + 1)*(-z + z - 2*z) + 5 - 2*z - 5).\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l**(-1\/8))\/(l**5\/l*l\/l**4*l))**(-2\/39) assuming l is positive.\nAnswer: l**(3\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwbgrfb. Give prob of picking 1 g and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 96 + 36. Suppose 0 = -5*j - 2*c - 130, 7*j - 5*j = -4*c - 52. Let n = g + j. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - 3 - (2 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350161474 to the nearest integer?\nAnswer: 18713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 83 = -0*z. Let a = 11705\/141 + z. Are a and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 269 + s - 37*s**2 + 2*s**3 - s**3 + 17*s**2 + 18*s**2 in the form k*s**2 + c + m*s**3 + q*s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = n + 5*x, -26 = -3*n - 4*x - 18 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4468 + 4468 + 35*h)*(2*h**2 - h**2 - 2*h**2)*(0 + 3 - 2).\nAnswer: -35*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402067 is divided by 3883?\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 8. Let p be g(-8). Suppose p = -5*m + 2 - 42. Let z(v) = -v**3 - 8*v**2 + v + 11. What is the units digit of z(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 211164 - 211395 = 0 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434881.\nAnswer: 434881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*sqrt(320)*3 - ((sqrt(10)\/sqrt(8) - sqrt(5)) + (sqrt(5) + 2)*6 + sqrt(5))) + 1)**2.\nAnswer: 1518*sqrt(5) + 320189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 31075*d - 31070.\nAnswer: -5*(d + 1)*(d + 6214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2)\/20 - (-36)\/(-60).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3951*l**2 + 276*l - 276*l - 257*l**2 in the form m + v*l**2 + n*l and give v.\nAnswer: 3694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 8:50 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 33*a**2 + 8*a + 3. What is the units digit of f(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -31. Suppose -x*l + 13 = -2*l. Calculate the remainder when 25 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-276)\/(-5) + (-2)\/10. Suppose -4*c = -9*c + y. Let z = -4 + c. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 268, 285, 302, 319, 336?\n\"Answer: 17*h + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o**2. Let n(b) be the second derivative of 10*b - 1\/3*b**3 + 0*b**2 + 0. Calculate n(f(v)).\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, e: 7}. What is prob of picking 2 e and 1 y?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i - 0*i. Suppose -i*l + j + 6 = 1, -j = l - 5. Solve 0 = 3*w + l*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 287*w + 37 - 12 - 16 to g + n*w and give n.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43053 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: Calculate the remainder when 118 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1622*k**2 - 1626*k**2 + 3239*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/3 + -1)*131. Let q = 139 + y. Solve -q = -2*p + 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 19. Let x(r) = -r**3 - 7*r**2 - 3*r - 2. Let u be x(-2). Let h be z(u). Let c be (0 - (-5 - h)) + 2. Solve c*o = 5 - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 = 2*l, -4*l - 3*c = 2*c - 31. Let p be -3 - l*3\/(-6). Which is smaller: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 8 - 1\/3*u**3 - u + 1\/2*u**2. Calculate t(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 167*n - 3. Let z(u) = -222*u + 4. Let g(s) = 4*c(s) + 3*z(s). Let j(a) = -3*a**2 + 4*a**2 - 4 + a**2. What is g(j(x))?\nAnswer: 4*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5 - 83. Let u = q - -90. Suppose 2*m + 2*m - u = 0. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**(2\/3)\/o*o*o*o)\/o*(o*o**(-1\/7)*o)\/o)**(-19)*(o**(-1\/7)\/(o\/o**3))\/(o**(-7\/3)*o**(2\/11)) assuming o is positive.\nAnswer: o**(-23318\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 0 (c) -97 (d) -0.1431\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 24 = -14. Suppose -532 = -2*k - q*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2 - 7622512*y - 3631418074384 = 0.\nAnswer: -952814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5929.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98163101 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.46. Let x = -0.04 + j. Which is the biggest value? (a) -3\/2 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - c**2 + c - 2. Let q(p) = -p**3 - 4*p**2 - 2*p - 17. Let m(k) = -4*i(k) + q(k). Let u(n) = -n - 1. Determine -m(b) + 5*u(b).\nAnswer: -3*b**3 + b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 20833692.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1060.000000879 - 1060. What is b rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/605)\/(2\/(-30)) + (-8877)\/(-363)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3368*y = -3369*y + 5. Put -5, y, -124 in descending order.\nAnswer: y, -5, -124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21434, -21451, -21468?\n\"Answer: -17*j - 21417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-4))\/((-6)\/432). Let w = 5825 + -5555. What is the greatest common divisor of w and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -21*n + 12*n + 10*n + 33. Let s be p(-10). Solve -4*f = -3*a + s, a + 5 = -4*f + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1584 * -0.11.\nAnswer: 0.017424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 345 by 15.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from tfytkvkyykyy.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/11 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**7\/2520 + x**6\/180 + x**5\/40 + x**4\/6 - x. Let l(t) be the third derivative of n(t). Let f = 3 + 1. Calculate l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -38. Calculate the lowest common multiple of 12 and j.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3882 - -5630. Differentiate 53 + k*x**2 - 120*x**3 + 50 - 97*x**3 - 1748*x**2 wrt x.\nAnswer: -651*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -49*r**2 + 3. Let s(q) = -3*q. Determine h(s(c)).\nAnswer: -441*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 + -107. Let p(c) = -3*c + 0*c + 2*c**j + 192 - 191 - c**2. Let k(f) = -f + 4. Let u be k(2). Calculate p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (207\/15 - 13)\/(7\/((-245)\/2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970531995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 114 times -0.06\nAnswer: -6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/46690 and 95\/14674.\nAnswer: 513590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4917?\nAnswer: 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1392 and 31\/88.\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*v - 4*v - 168 = 14*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 - 3)*(27*p**5 - 60*p**5 + 20*p**5) + (3*p - 9*p**2 - 3*p)*(-4*p**3 + 2*p**3 + 0*p**3).\nAnswer: -34*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 + 5*q**2 - q**2)*(-1 + 2 + 5) + 316*q + 129*q + 21*q + 1 - 5*q**2 to the form a*q + s + y*q**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*t - 4, 2*s + 15 = 7*s + 5*t. Suppose -7*o + 2*o + s = 0. Which is the third smallest value? (a) -1\/3 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) - (-32550)\/54. Let l = n - 417. Suppose 6*u - l = -0*u. What is the remainder when 121 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 10:46 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose -3*j + t*j + 2 = 0. Solve j*v + 15 = -5*d, -9 = 4*v + d + 2*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-14)\/(-6) - 2). Let m = x + 13. Suppose -m*d = -3*q + 57, 12 = q - 4*d - 7. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 1. Let u = -3 - t. Suppose -u*c = -5*i + 13, c = 4*i - 2*i - 6. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.372404l in millilitres?\nAnswer: 6372.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 8*n**2 + 12*n + 9. Suppose -16*r + 3 = 2*o - 19*r, -3*r + 15 = o. Calculate f(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 2. What is m(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-154)\/91)\/22 + 1850\/(-286))*(-2)\/3\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 2.04. Let d be 105\/6 + (-2)\/(-8). Let s = 18 - d. Which is the smallest value? (a) s (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -280 + 64. Suppose -5*p = j - 149. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 36 = -x, 3*x - x + 26 = 4*l. Let u be (0 - 6)*l\/(-14). Suppose u*f = p - 48, -p = -0*f - f - 56. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101212115 (base 6) to base 12\nAnswer: -70103b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000906983 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3.9. Is x at least as big as -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8 - 2) + (-136)\/480. Let s = -8.82 - 0.18. Let i = s + 8.5. Which is the second smallest value? (a) w (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 474.0018 - 0.0018. Let n = 0.8927 - 496.7927. Let m = p + n. Round m to 0 decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3372145 (base 8) in base 5?\nAnswer: 213231113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.187 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 1. Let b be l(3). Let g(w) be the first derivative of -1\/4*w**4 - 6 - 2*w - 5\/3*w**3 - 2*w**2. Calculate g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 + 4*c**2 + 5*c + 14. Give s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {s: 9, q: 5, r: 3, g: 3}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3039 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: What is prob of sequence wu when two letters picked without replacement from wuwwuuw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.641 - -3.641. Which is bigger: 1186 or a?\nAnswer: 1186","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*x**2 - 107*x**2 + 216*x**2 - 26838.\nAnswer: -x**2 - 26838","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 1:49 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 373*k**3 - 2*k + k - 167*k**3.\nAnswer: 206*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/60 - p**4\/6 + 4*p**3\/3 + 79*p**2. Calculate the remainder when b(-4) is divided by 1*2\/(-2)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 28*y - 15. Let h be r(-48). Calculate the greatest common factor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -5 (c) 0 (d) 20 (e) 106\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 328\/40 + 2\/(-10). Suppose -3*l - n = -78, 3*l + u = 2*n + 95. What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1308332.44*-0.2.\nAnswer: -261666.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 5 - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - (-3 - -1)\/(-1). Let m = -5 - b. Suppose -2*g + 5*g - m*k = 58, 2*k = -5*g + 102. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 217 - 218 + 7*q - 2*q as n + g*q and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 167, 339, 561, 827, 1131, 1467, 1829?\n\"Answer: -c**3 + 34*c**2 + 21*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 13, 31, 53?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 27*h**2 - 66*h.\nAnswer: 3*h*(h - 11)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**3 - j**2 - 2*j - 1. Let i be l(-1). Let y(t) = t**2 + 10*t + 9. Let m be y(i). Let r = m + 14. Solve -n + r + 3 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 16 - -2) + (-2 - -24)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*v**2 + 3*v**3 + 459*v**2 - 4*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 293*b + 295*b = -6, -4*v - 13 = -3*b. Sort 1, 0, 3, v, 2 in ascending order.\nAnswer: v, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m + 3. What is the second derivative of m*d**5 + d**5 - 8*d**5 - 4*d wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(18)\/(sqrt(6) - -1*sqrt(6)) - (4 + sqrt(147))).\nAnswer: -13*sqrt(3)\/2 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769182?\nAnswer: 2, 884591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102)*4)*-5*5*2)\/(1*-2*sqrt(216)).\nAnswer: 125*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 903995.3 nanometers?\nAnswer: 0.0009039953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 8*g + 6*g + 3*g - 12*g + 7*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -1)*-2 - (sqrt(304) + 1 + -2))**2.\nAnswer: -72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1436 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 20*d**5 + 269*d**4 + 210*d**3 - 551*d**2 + 4*d + 43. Let p(g) = g**5 + g**3 + 2*g**2 - 5. Let j(s) = -5*p(s) + x(s). Solve j(y) = 0 for y.\nAnswer: -17, -2, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7150 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158639077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnkkzdn. Give prob of picking 2 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6931543651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.028 + -0.028. Which is the closest to 2\/11? (a) m (b) 0.5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 38. Give y(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/340*(-102)\/(-18))\/(8\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -498*l. Let v(p) = 66*p**2. Calculate v(q(i)).\nAnswer: 16368264*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.219501 - -4091.798499. Let a = m + -4074. Let c = -20 + a. Round c to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1435 or 1523?\nAnswer: 1435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - n + 5. Let m(b) = 9 - 2*b - 5 - b**2 + 5. What is -3*m(a) + 5*w(a)?\nAnswer: -2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xzxzzexzzex?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 - 37719*h**3 + 113175*h**2 - 113181*h + 37728 = 0. Calculate h.\nAnswer: -12576, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4 - -504)*(-33)\/(-66) and 125.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*k**2 + 67*k**2 + 561*k**2 + 179*k**2 - 137*k**2 - 839*k**3 wrt k.\nAnswer: -5034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11850 is divided by 367.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkw when three letters picked without replacement from {w: 11, k: 3}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/7 or 17?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-7)\/(-4)) + 94\/(-24). What is the second biggest value in -2, 3, v, -2\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c\/c**23)\/c)\/c)\/(c*c**(7\/8)))**11 assuming c is positive.\nAnswer: c**(-2189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121 and 2?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3551180339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0 - -2) + 478 + -463?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -222228 and 4?\nAnswer: 222232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*o + 8 - 467 + 2311 = -2173 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*k**5 + k**3 - 62*k**2 + 475*k + 4?\nAnswer: -1960*k**3 + 6*k - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 159 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 - 16)*(6 + b - 2 - 3).\nAnswer: -29*b - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20122847971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 255 = 2*v. What is the remainder when v is divided by (-1266)\/(-48) + (-1)\/(8\/3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 u when four letters picked without replacement from uuununuunununnununn?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 3, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 379139 = -93083 + 279600. List the prime factors of g.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/176)\/(9\/36*3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from nwppnpgnppti?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 1 + 0)*(-1096 + 2271 - 674)*(3 + 6 - 2*s - 5) in the form x*s + t and give x.\nAnswer: -6012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -143?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:27 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127.4 + 125.4. Which is the smallest value? (a) -4\/5 (b) 28\/13 (c) 0.1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 15*n**2 - 56*n + 80. Determine l(16).\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000135 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -16.5. Let l = 12 + -12.37. Let z = 0.03 - l. Sort i, 4, z.\nAnswer: z, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 7*c + 7. Let y be k(8). Let f be -3*1*(y + 2). Let w(n) = -43*n + 2. Is w(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -440f - -59b?\nAnswer: -3e74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179 - 179 + 148*u**2 - 131*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 154 = -4*q + 165, q = -3*u + 85. Determine p so that 22*p**2 + 51*p + 100*p**3 - 97*p**3 - q*p**2 = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.3 and -17.\nAnswer: -90.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 10*i + 4. Let a be l(-9). Let x(y) = -y + y - 6 + y**2 + 2*y. List the prime factors of x(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 618792 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(176)*-1*-3.\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/20 - 152\/(-95)*-3. What is the closest to -1\/9 in -4\/9, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 63*r**2 - 117*r - 298. Let d be x(61). Let b be 10 - d*(-20)\/(-16). Let t = 0.39 - -0.01. Sort t, b, 5, -0.1 in descending order.\nAnswer: 5, b, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*2\/(1*4). Let h = -15 - -19. Suppose 18 = h*x + 3*i, 4*i - 12 - 11 = -5*x. Put x, 1, c in descending order.\nAnswer: x, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:49 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*((-m - m + 3*m)*(4 + 0 - 2) + 3*m - 5*m + 3*m + (-13 + 6 + 5)*(49*m + 245 - 245)).\nAnswer: -190*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -14*f**2 - 19*f - 2. Let a(o) = 70*o**2 + 96*o + 10. Let d(x) = -3*a(x) - 16*l(x). What is the second derivative of d(j) wrt j?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**3 + 5*i**2 + 5*i. Let m(k) be the third derivative of -3*k**6\/40 - k**5\/15 - k**4\/6 + 10*k**2. What is -4*j(r) - 5*m(r)?\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 343*d - 639*d + 3 - 3 - 1 - 2*d**2 in the form q*d**2 + o + g*d and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + -15)*28\/(-42). What is the greatest common factor of q and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 6*m**2 + 2*m + 3. Let u be q(6). What is the greatest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 10*h + 13. Let a be p(-11). Let t(y) = -3 + 5 - y - a. Let c be t(-4). Solve -c*v + 22 = -5*w, -8 + 3 = -v + w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 5:43 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32359? (a) -0.3 (b) -0.036 (c) -6 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 6*y**2 - 7*y + 5. What is the lowest common multiple of j(2) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.07 or 574?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66954163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 13 - 3*s + (-63 + 166 + 54)*(-5 - 2*s + 5) to the form y + k*s and give k.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 4 + 4)*(4 - 1 + 0)*(3 - 3 + 1) to f*k + j and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 1175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 11*z**2 - 14*z + 6. Calculate p(6).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584155?\nAnswer: 5, 11, 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + s - 60, 0 = -4*s + 11 + 9 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -3.2. Let y = 11 - 10.8. Let z = 84 + -339\/4. What is the second biggest value in y, z, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(132)*-2)\/((sqrt(108)*-2)\/sqrt(9)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = 0. Let t = 3.95 - -0.05. Which is the nearest to 2\/7? (a) 2\/3 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10431, -20863, -31295, -41727, -52159, -62591?\n\"Answer: -10432*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 31*k - 96. Suppose 21054 = -w + k*w. What are the prime factors of w?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/350396530 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202427, 202418, 202405, 202388, 202367, 202342?\nAnswer: 202313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 650295.9ml?\nAnswer: 650.2959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*r**3 + 2175 - 2175 + ((0 + 1 + 1)*(-5*r - r + 0*r) + r + 0 + 0)*(3*r + 2*r**2 - 3*r) to h*r**2 + b*r + m + t*r**3 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - u**2 - 3*u + 4. Give n(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 3*z - 2*z)*((-3*z + 0*z + 2*z)*(4 + 0 - 6) + 3*z - 2*z + 0*z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s**2 - 2*s + 222*s**2 + 20*s**2 + 11*s**3.\nAnswer: 11*s**3 + 199*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 487, 755, 1153, 1699, 2411, 3307, 4405?\nAnswer: 5723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.47859 kilograms in milligrams?\nAnswer: 1478590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106.0087404 - -84.00873. Let o = 22 + z. What is o rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.92 - 2.92. Let j = -23.8 + v. Sort -3, j, -4, -3\/5 in increasing order.\nAnswer: -4, -3, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5716632l to millilitres.\nAnswer: 571.6632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.7*-96.3.\nAnswer: 645.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 33. Let f be c(6). Solve 5 = 5*m - 0*m + f*s, 0 = -3*m - 2*s + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) -2\/11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 274*m**3 - 277*m**3 - m**2 - 23*m - 16*m as c*m**3 + q + j*m + y*m**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-34)*1884\/4710?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.4 + 5. Let w be (-35)\/72 + (5 - (-132)\/(-27)). What is the fourth biggest value in 2, s, 0.1, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 less than 698?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724 - 6081 = -394*r + 5409 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/405, 45, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:20 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3541536 divided by -3\nAnswer: -1180512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + 3 + -5 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021102100212 + -11?\nAnswer: -11021102101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -187432 divided by -13388?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 6*d**2 - 5*d - 8. Let z be x(6). What are the prime factors of z\/9*-33 + 2\/(-6)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-7 - (-4 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 28. Suppose 4 = l*t - 6. What is the smallest value in t, 1\/8, 3\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/48 and 55\/928.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c - 2. Let f(n) = -16*n + 2. Let l be f(-1). Let w = l - 14. Let j(y) = -w*y - 2 + 6*y + y + 0*y. Determine 4*d(u) - 5*j(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, 4, -2\/11, 5, -0.38.\nAnswer: -0.38, -2\/11, 3\/13, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a - 4. Let m(d) = d**2 + 6*d - 7. Let p be m(-6). List the prime factors of l(p).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14568 - 943. Let c = -4 - -7. Suppose 4*d + 13580 = -4*x, -2*d = -4*x + c*d - m. Round x to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, and 1 n when three letters picked without replacement from tttttbcciettbn?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19958 - -19954. Sort -2, -5, 3074, i in ascending order.\nAnswer: -5, i, -2, 3074","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.1653633 - -8.20137. Let g = v + -0.036. What is g rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) -2\/25 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**4\/3 + 320*m**2. Let i(w) = 4*w + 0*w - 2*w. Determine i(f(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 plus 58360062?\nAnswer: 58359921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 1e27d1?\nAnswer: 1e27d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 421843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert bd9 (base 15) to base 6.\nAnswer: 20223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 5. Suppose -4*r = 3*t - 19, -2*t - 3*r = -n*r - 46. Suppose t = 2*w + z, 3 = -z + 6. Solve -9 = -w*y - 34 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (-101 - 16) + -4?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 29 - 31 = 0. Let c be 1\/(-4) - (-9)\/q. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**6\/90 + 2*w**5\/45 + 10*w**2. Find x such that k(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 512 + 68. Suppose -4*p - 5*r = -987, 2*p = 3*r + i - 59. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 53 + (-27 - -6) + 31.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j**2 + 23*j + 6. Let u(n) be the second derivative of 5*n**4\/12 + 2*n**3 + 3*n**2\/2 - 4*n - 4. Let m(p) = 4*r(p) - 7*u(p). Give m(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b*l**3 + 127*b*l**2 + b*l + 8*b + 5353484*l**3 + 31*l**2 wrt l?\nAnswer: -24*b + 32120904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35163859*w**5 - 3555262*w**2.\nAnswer: -2109831540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 14, -3, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 16993030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358926.\nAnswer: 2, 3, 163, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -109, 4, 5, 1, -12 in increasing order.\nAnswer: -109, -12, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*x = 147*x + 21744000. What is x rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2\/3*x**3 + 0 + 0*x - 4\/3*x**4 + 2*x**2 = 0.\nAnswer: -1, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -8 - 1*(3 - 5). Let b(j) = j**2 + j - 4*j**3 + 3*j**3 + 0*j. Let q(p) = -3*p**3 - p**2 + 2*p. What is s*b(x) - q(x)?\nAnswer: x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7151.995kg?\nAnswer: 7151995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 812*d**3*g**3*m - 1890*d**3*g**2*m**3 - 6*d**2*g**3*m**3 - d**2*g*m - 3*d*g**3*m - 15*d*g**2*m**3 + 536*d*g**2*m**2 + g**3*m wrt d.\nAnswer: 4872*g**3*m - 11340*g**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12161997 to the nearest integer?\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20453817 is divided by 1936.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1136 + 279 - 278)*((0 + 0 + 2)*(n + 4*n - 3*n) + 4*n - 3*n + n) to q*n + p and give q.\nAnswer: -6810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 35.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-4) + 7\/(-1). Let a be u\/(-14) + 19\/7. Suppose -a*s - 52 = -5*g, -10 + 1 = -g + 2*s. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o - 15. Let r(y) = 3. Let s(u) = p(u) + 3*r(u). What is s(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -901659?\nAnswer: 901656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -54700 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -26691 (c) 0.02 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34 * -10.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11505 + 11505. Sort 3, -4, 24, v in increasing order.\nAnswer: -4, v, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -5046797.\nAnswer: -70655158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12103893 divided by -12103893?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6*f - 6 = -5*f, 0 = -5*q + f + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 1052*b + 1050*b = 4, -5*b + 2 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2+6395\nAnswer: 6393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5835 is divided by 51?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/1044180 and 5\/15871536.\nAnswer: 79357680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -454 - 157. Let y be (-8 - a\/78) + 14\/48. Let 1\/2*u + y*u**2 - 1\/2 - 1\/8*u**3 = 0. Calculate u.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 2 y when four letters picked without replacement from dzxxyddddzxyduuxy.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*d**2*h*n + 8*d**2*n - 14*d**2*q - 2*d**2 + 2*d*h*q - 1706*h*n - 311067*n*q with respect to q.\nAnswer: -14*d**2 + 2*d*h - 311067*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/3, -1084\/3, 9\/4, 0.2.\nAnswer: -1084\/3, -3, 0.2, 2\/3, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9936 - 9916. What is the highest common divisor of 640 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6 and -85\/47284?\nAnswer: 141852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/60 and -43\/1395?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4721, 15737, 26753, 37769, 48785?\n\"Answer: 11016*b - 6295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - -4*sqrt(12) - (sqrt(108) + 2).\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 - x**2)*(0 + 2*x + 0).\nAnswer: -2*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -3\/8, -1\/242, 8, -10.\nAnswer: -10, -3\/8, -1\/242, 3\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**3 + 88604*y**2 - 406301740*y - 971631507948 = 0?\nAnswer: -1707, 11929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*f + f - 3*f.\nAnswer: -41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*h - 18*h - 9*h - 15*h - 11*h as c*h + y and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171079293?\nAnswer: 3, 7, 11, 740603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17\/14 - -341\/42. Let y be 1\/(24\/(-27) + 1). Let h = y - n. Sort 1\/2, h, 1.5.\nAnswer: h, 1\/2, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*i + 24*i + 9*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*(5 + -9). Let y = b - -6. Suppose y = -3*u + 4*u + 5*g - 19, -4*u = -3*g - 7. Which is bigger: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172 + 175. Suppose 5*d - 32 = -4*i, -3*i = i - j*d - 32. Solve 4*a = 5*x + 2*a + 24, i = -x + 2*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -219*x**5\/4 + 135*x**3 - 590*x. Find the second derivative of z(d) wrt d.\nAnswer: -6570*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2382090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1253*i - 8774. Determine j(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38160 and 210.\nAnswer: 267120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4024 + -4?\nAnswer: -4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3 + -4. Let a = 2 + -18. Let l = a + 21. Sort 1\/4, s, l in decreasing order.\nAnswer: l, s, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 6*o**2 + 5. Let i(a) = -a**3 + 6*a**2 - 8*a + 6. Let k be i(2). What is p(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6) - 1)*72\/(-132)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77306*f**5 - 7*f**2 - 2*f - 9.\nAnswer: 4638360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 25 = 5*h, h + 0*l - 9 = 3*l. Suppose -m + 3*i = 2*m - 21, -4*m - h*i = 7. Let y be 1\/(4\/(m + 18)). Solve 12 = y*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - -0.1. Let w = -0.252 - -0.252. What is the closest to t in -2\/15, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u + 9. What is the units digit of (u + -1)\/((-2)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6411000 to the nearest 100000.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 2*k + 259 + 15*k - 13*k - 3*k to the form d + n*k and give d.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 593932, 593915, 593896, 593875, 593852, 593827?\n\"Answer: -x**2 - 14*x + 593947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 157844910 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 5:41 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 - 10*x + 178 + x**2.\nAnswer: x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2444 and -2?\nAnswer: 4888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2*(52 - 19). What is the tens digit of 67 + (20\/6 - (-44)\/r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1522 = -s + 2*b, b = 5*s - 2*b - 7596. Is (-9)\/((-27)\/s) + 1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147 or -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 9. Let v be m(-11). Suppose 0*a = 2*a - v, 23 = 3*o + 5*a. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/15 + 13*g**4\/48 - g**3\/2 + g**2 - 6. Solve o(z) = 0.\nAnswer: -2, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7975394.\nAnswer: 2, 7, 569671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 4*w**2 + 23*w + 13. What is h(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1105 - 8867\/8. Calculate the common denominator of 17\/12 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 9. Let f(k) = -16*k - 4. Let q be f(x). Let v = q - 144. What is v rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5a1333 (base 11) to base 7\nAnswer: 11050402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.4 - 3.4. Let v = 6.4 - l. Let d = -0.4 + v. What is the closest to -1\/3 in d, -5, 1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 1. Let w(y) = -4*y**2 + 8*y + 8. Let i(x) = -5*d(x) - w(x). Let r be i(-7). Solve -r*p = -2 + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/30 - 1\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-361 + 16 + 155)*(-7 + p**2 + 7).\nAnswer: -190*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Let i = o - 7. Let w = 0.2 + -0.1. Which is the nearest to 0.1? (a) 3\/2 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 533808 and 19168560?\nAnswer: 210854160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 294\/131 <= -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (8\/(-6))\/((-2)\/6) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 67*f**2 - 809*f + 298. What is z(-51)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/32 - -10)*(-4)\/90*6.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -5 (c) -0.1 (d) -1\/3 (e) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 115b + -6327?\nAnswer: -5188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/2*8\/20. Let t(k) = -1 - 2 + 6*k + p + 5. Let u(d) = 5*d + 2. Give -2*t(a) + 3*u(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -10*u. Let y(t) = -10*t. Determine y(i(r)).\nAnswer: 100*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/1 - (7 + -4 + 1021\/255). Do 16\/5 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lplc when four letters picked without replacement from {c: 2, x: 1, p: 1, b: 1, l: 2, k: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83941826 to the power of 1\/3, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -15. Suppose f - 4*r = 35, -2*r + k*r - 35 = -3*f. What is the greatest common factor of f and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(((z**(-25)*z)\/z)\/z)))\/((z*z**9)\/z)*z\/(z\/((z\/(z**(-4)*z))\/z*z))*z**(-1\/20)*z assuming z is positive.\nAnswer: z**(-601\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -522564 - -858549. Suppose 2*l = 5*h - w, -2*h + 503994 = -2*l - l. Round l to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 20547198.\nAnswer: 20547198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.41 - 0.01. Let o(c) = -2*c - 139. Let i be o(-68). Sort 10, f, i in increasing order.\nAnswer: i, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -41*r - 16 + 17*r**2 - 11*r + 8*r. Find the first derivative of k(u) wrt u.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174.544 - -137.1. What is x rounded to 0 dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4155\/554*1\/(3\/(-8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -474928, 32 in ascending order.\nAnswer: -474928, -7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, -1\/2, -4\/7, 2\/3, 33 in descending order.\nAnswer: 33, 2\/3, 0.31, -1\/2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 128.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:15 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 19488*q**2 - 9.\nAnswer: 19488*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 72, 109, 144?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 (base 14) in base 11?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270136353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1054888\/7 + -151775. Let i = o + 1070. Find the common denominator of 2\/11 and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18177592.\nAnswer: 2, 2272199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*x = x + 12, x = 2*i - 16. Find the third derivative of 7*f**2 - 2*f**6 + 16*f**6 + 5*f**i wrt f.\nAnswer: 2280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069 a factor of 45451473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*i, -2*i - 5 = -5*l + 3*i. Is l\/(-18) - (3 - 24920\/45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2622 and 22842.\nAnswer: 9981954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -15*c**2 - 98*c - 562. Find the first derivative of s(m) wrt m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-351)\/(-81)*9\/1*(-2)\/6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 1076267514*a. Let m(y) = 2*y**2. Determine v(m(d)).\nAnswer: -8*d**4 + 2152535028*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 + 19*m**2 - 33*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/2 - (-182)\/77 and 38\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5069, -5643, -6215, -6785, -7353, -7919, -8483?\nAnswer: -9045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8039172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 10. Calculate j(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 + -13 + 109 + -131.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-6)\/27)\/(154\/21).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrnn. Give prob of sequence nn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.025 - -0.025. Is y greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5\/4 - 170*o**4 + 4515*o**3\/4.\nAnswer: 5*o**3*(o - 129)*(o - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 16. Let r be (0*(1 + 0))\/(-2). Let c be z(r). Suppose 5*i - c = -0*i + m, 2*m = 5*i - 17. Solve -2*g - i*v + 7 = -4*g, 4*v = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/18*(-18)\/3. Suppose 2*c - l*o + 56 = 6*c, 2*c - 20 = o. Is 59\/5 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -33, -45, -57, -69?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + (sqrt(475) + sqrt(475) + -2 - sqrt(475)) + sqrt(475) + 4)*-3*1)**2.\nAnswer: 540*sqrt(19) + 38511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*d + 2, 3*d + 0*k = 2*k + 1. Suppose 2*f = d*q - 4*q + 38, -5*q = -3*f + 44. Calculate the greatest common divisor of f and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -477, -467, -455, -441, -425, -407?\n\"Answer: q**2 + 7*q - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.2 - 1553824137614?\nAnswer: -1553824137644.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 11. Let k = o - -12. What is the second derivative of 3*i**5 - 5*i**5 + 3*i**5 + 0*i**5 + k*i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*s + 441*s + 451*s - 38*s**2 - 1343*s.\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 2. Let y(i) = -3*i - 7. Calculate 22*h(j) - 6*y(j).\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*f + 2, -1 = f - 7*q + 6*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173961 divided by 16?\nAnswer: 3173961\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = -t + 19, 10 = -5*a. Let d(k) = k**3 - 9*k**2 - 3*k - 2. Let i be d(11). Let q = i + -117. Calculate the remainder when q is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*t - 17 = -4*w, 2*t = -4*w + 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 258 + -254. Suppose -21*r**a + 18*r**4 - 9*r**3 + 6 - 3*r**2 + 11*r - 2*r = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/5 - 27*a**3\/5 + 80*a**2 - 684*a\/5.\nAnswer: -a*(a - 9)*(a - 2)*(a + 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -200\nAnswer: -23\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 7. What is the remainder when 41 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w - 4*w = 0. Is w greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1989, -392, 1, 5?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1542 is divided by 194.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 62 = -2*s - 0*s, l + 35 = 2*s. Let r = -17 - -1. Let f = r - l. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 21\/4, 14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340608 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1070*i**2 + 2214*i**2 - 1142*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206682368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 24*t - 24. Calculate l(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15014 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 36 = -4*a, -3*a = -5*a + m + 3. Let z(c) = 2*c + 2. Let i = 26 + -25. Let o(l) = l. Let p(k) = i*z(k) - o(k). Determine p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-62)\/(-8) - (-7)\/28. Suppose -2*d + i = -d. Solve d*m = 3*m + 25, 3*a + 10 = 2*m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.01 (c) -45 (d) 4\/3 (e) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 21*f**2 - 5*f - 2. Calculate the least common multiple of 6 and n(-7).\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(24))\/(sqrt(108)\/sqrt(3) - sqrt(4)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 219862690.103 - 7.2\nAnswer: 219862682.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39.063 - 0.063. Let j = n - 23. Is -2 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, q: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7)*k\/k**(-1\/9))\/(k**3\/(k*k**(-3))))**(-41) assuming k is positive.\nAnswer: k**(4018\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 91080415*-0.16\nAnswer: -14572866.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1357*j**4 + 2134*j**3 + 2*j - 13076416?\nAnswer: -5428*j**3 + 6402*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 2*w - 3. Let j be n(-2). Let p = j - -9. Let z be (-9)\/(-12) + 2\/8 - -3. Solve z*v + 2 = 3*x, -p*x = -0*x - 2*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b**(4\/9))**(-2\/11)*(b**(-2\/3)*b)\/(b**(-2)*b)*(b\/b**1)**(2\/5) assuming b is positive.\nAnswer: b**(160\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -50. Which is the nearest to -0.1? (a) -0.3 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -25*d - 6. Let p(w) = -23*w - 5. Let k(n) = -5*g(n) + 6*p(n). Let m(b) = 2*b. Calculate m(k(h)).\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9*d**2 - 138*d + 1267. Let j(f) = -16*f**2 - 276*f + 2548. Let o(m) = 4*j(m) - 7*r(m). Suppose o(t) = 0. What is t?\nAnswer: -147, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 24*q**2 - 228*q - 341. Let p be u(-31). Which is the closest to p? (a) 2\/127 (b) 2 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -59*a**3 - 3*a**2 + 2. Let z be b(-1). Let q = 60 - z. Let k(p) be the first derivative of p**4\/4 - p**2 + 2*p - 1. Determine k(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) - (sqrt(495) - (sqrt(495) + -3*sqrt(495)))*-2 - (-5*(-3*sqrt(495) - sqrt(495)) + sqrt(495)))\/(-6*sqrt(539)*-6*-6))**2.\nAnswer: 5\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 33*p - 9. Let b(w) = -19*w + 5. Let z(k) = 7*b(k) + 4*l(k). Give z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 110 + 0*x + x**2 - 1\/5*x**5 - 5\/4*x**4 + 50\/3*x**3. Find the third derivative of v(d) wrt d.\nAnswer: -24*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = -63. Let b(x) = 2*x**2 + 5*x + 6. Calculate the remainder when 20*2\/((-12)\/c) is divided by b(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -41*n + 85*n - 46*n. Let h(r) = -104*r**2. Give h(g(l)).\nAnswer: -416*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*m\/(m**(-9\/4)*m*m*m*m))\/m*m\/(((m**6\/m)\/m)\/m)*(m\/m**2)\/(m*((((m**(-3\/11)*m)\/m)\/m*m)\/m)\/m))**26 assuming m is positive.\nAnswer: m**(-273\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 73734.08km?\nAnswer: 73734080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.264 + -0.22.\nAnswer: -0.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 9, 0, -3, 2, -617.\nAnswer: -617, -3, 0, 2, 9, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9130\/(-308))\/(-83)*12\/(-15).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-4 - -6)\/(-4)). Suppose 0 = -3*b + 4*l - 13 + 3, -u*b - 4 = -2*l. Suppose 4*q = 2*n - 12, -4*q - 26 = 4*n - 2. Put 5, q, b in decreasing order.\nAnswer: 5, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*(845\/(-78) + 12 + 5\/6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1869 + -1465. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.578 - 4.422. What is the closest to 1 in 0.06, -0.5, -2, o?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12885*d - 35013*d + 4327*d)*(5*d - d - 2*d) in the form y + r*d + n*d**2 and give n.\nAnswer: -87142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*a + 8*a + 417 = 0, 3*a - 1287 = -3*y. Suppose 5*g + 2*g = -y. Let o = -22 - g. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide ((-16)\/(-28) + (-2278)\/(-56))*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -165*b**2. Let g(k) = -93*k - 81*k - 7 + 161*k + 7. Give z(g(i)).\nAnswer: -27885*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 690, 0.5, -5.5, -4, 5\/4, -5?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 6*f + 6. Suppose n + 4*t + 1 = -0*n, -4*n - t = 19. Let m be l(n). Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19076881 to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -1\/14*v**4 + 1\/14*v**5 + 0*v**2 - 4*v - 2 - 2\/21*v**3. Let w(n) be the first derivative of q(n). Factor w(j).\nAnswer: 2*j*(j - 1)*(5*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 38. What is the closest to -2\/3 in p, -0.5, 3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3895*v + 3896*v - 5*q = -59, -2*q + 26 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from pwpwpddppwwpwpw?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {v: 1, y: 3, x: 5, b: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8942 - -9386. Calculate the highest common divisor of f and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 * 0.9\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from ubhbhbbvvbvhhbvvbb.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 - 2*h**2 + 4*h + 5. Let g be j(4). Suppose 180*w = g*w - 32. What is the second derivative of 999*q**2 + 27*q**3 - 999*q**2 - w*q wrt q?\nAnswer: 162*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 - 5*z**2 - 5. Let n be (-4)\/8 - 9\/(-2). Suppose -25 = -u - n*u. Let y(s) = 9 + 7*s**2 + 2*s**3 + 2*s**3 - 2. Determine u*y(k) + 7*p(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101221 - -1021010?\nAnswer: -2010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 14*j**2 - 29*j - 69. Let c be x(16). Let n be ((-2)\/5)\/((-19)\/(c\/(-891))). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*44\/16*(-42)\/(-231).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419*b**2 - 141*b**2 - 141*b**2 - 139*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeer.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 7:49 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.71 - -8.49. Let q = m - 9.19957. What is q rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l - 6. Let x = 39 - 40. Let w be c(x). Solve -t = 2*g - 13, -2*g - 1 = -w*t - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 46 + 46. Let j(a) = -30*a**2 + 21. Let i(l) = 3*l**2 - 2. Let r(h) = 21*i(h) + 2*j(h). What is r(t(f))?\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**3\/6 - 4*d**2 + 6*d. Let x be v(12). Solve x*l + 12 = 5*h + 42, 5*l - h = 27 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/105, -2\/9, 0.179, 35.54?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 354195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o**3 - 3*o - 2*o)*(-o + 68 - 25 - 47).\nAnswer: -o**4 - 4*o**3 + 4*o**2 + 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 384*d**2 + 2*d + 1265. Let h(v) = -8*v**2 + v - 1. Let r(o) = 4*h(o) - 2*q(o). Find the first derivative of r(t) wrt t.\nAnswer: -1600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**11*s)*s)*s)\/s**(1\/2) assuming s is positive.\nAnswer: s**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c + c + 2*c)*(3*c + 2*c**2 - 3*c) + 3*c**3 - c**3 - 4*c**3)*(2*c + c - c).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/3 - 1608*r**2 - 928174*r + 151536100\/3 = 0.\nAnswer: -1231, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2163*j**4 + 56*j + 1475*j**4 - 26*j + 7801 - 30*j wrt j?\nAnswer: -2752*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -200 + -0.5.\nAnswer: -200.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -2*j + 87. Suppose -26*m - j = -32*m. What is the remainder when 165 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170659 is divided by 1795.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 262 + -1830\/7. Let s = -886 - -889. Sort o, 4, s in increasing order.\nAnswer: o, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 8:06 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 2*r + 0*r**3 - 2 + 3*r - 5*r**2 + 0*r. Let q(k) = -6*k - 2 + 3 + 3*k - k**3 + 3*k**2. Let x(t) = 5*q(t) + 2*w(t). Give x(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*a - 0 - 4, -3*h - 5*a + 3 = 0. Solve -y - h = 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssb when four letters picked without replacement from ibsssdddds?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x - 2. Suppose 9 = -x*l + 7*l. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4240775553?\nAnswer: 3, 7, 12253, 16481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106531 is divided by 389?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*m, -3571 = -5*u + 4*m - 2*m. Suppose -3*v = -u + 236. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + 22 + 31 - 53.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 1, p: 1, r: 1, n: 1}. Give prob of sequence sn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.0835um in millimeters?\nAnswer: 0.9530835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, -8, 3, -9433, -1 in increasing order.\nAnswer: -9433, -12, -8, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-31)\/(-2) + ((-9)\/2 - -5). Calculate the highest common factor of c and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.17, 4\/7, -136, 4?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**7\/42 + 2*j**6\/15 - j**5\/10 - j**4\/3 + j**3\/2 - 20*j - 2. Factor u(o).\nAnswer: -o*(o - 3)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6007 or -6017?\nAnswer: -6007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 6 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 21*s**2 - 29.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629088 a multiple of 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21623 divided by -3089\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 960.402 days in nanoseconds?\nAnswer: 82978732800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-12))\/(13\/(20683\/129))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*g*r + 6041103*g - 44509*r wrt r?\nAnswer: 12*g - 44509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -656, 5, 3\/8, -3\/2, 2?\nAnswer: -656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h. Let q be b(4). Suppose 220 = 3*g - 0*g + w, -296 = -4*g - 2*w. Suppose 0 = 2*j - g + q. What is the greatest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128\/9 + 8\/3*g**2 - 2\/9*g**3 - 32\/3*g.\nAnswer: -2*(g - 4)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zizv when four letters picked without replacement from vzmivxfzxxvx?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303 by -601.\nAnswer: -303\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 11 - -8) + 2 - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 47*z = 374, -4*z + 1 + 21 = 2*d - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8986 + -0.23.\nAnswer: -8986.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 2, -19, 127, 0.05, -1\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8383987?\nAnswer: 29, 289103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 4 - 4)*(-10*v - 57*v + 10*v).\nAnswer: 57*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 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: Which is smaller: -27 or -11?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7521?\nAnswer: 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1023*u**3 - 11247*u**2 - 10164*u + 60 = 0. Calculate u.\nAnswer: -10, -1, 2\/341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 k when three letters picked without replacement from ojookkujkoouu?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 0 - 8 - 14)*(5*t**2 - 9*t**2 + 23*t**2).\nAnswer: -741*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t - 4. Let c be 2\/((-3)\/108*-6). Suppose 31*h + c = 37*h. Sort t, 3, h in descending order.\nAnswer: 3, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1752036 and 6864.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 41*l + 60324. Let r = 1269 + l. Which is smaller: r or -558?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16216 is divided by 7164.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-37626)\/156775)\/((-3)\/135)\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35 + 18 + 16 + 2*o wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b + 2280 = 0. What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27953 - (4 - -1)*(-6)\/(-6). Suppose 0 = 33*y + v - 120975. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/8 + 352200085*t\/4 + 124044899874007225\/8.\nAnswer: (t + 352200085)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 + 3*v - 2. Let h(q) be the third derivative of -2*q**5\/15 + 3*q**4\/8 - 7*q**3\/6 + 2*q**2 - 74. Calculate 2*h(f) - 7*i(f).\nAnswer: 5*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 8275 + 8273 = -3*v + 16530, -10 = -5*v - 10*g for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-10 - 2) + (-2 - 1 - (6 + -58)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 68*l**2 - 137*l - 446. Calculate u(-66).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 40 = 5*n - 2*b, 0 = -5*n + 2*b + 28. Suppose 0 = -n*w + w - 6. Is (2\/(-1))\/(w\/16) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**2*x**3 + 549*c**2*x - 87*c*x**3 + 2*x**2 wrt x.\nAnswer: 30*c**2 - 522*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1210299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h - 92. Let p be q(17). Solve -4*n + 4*i = 24, p = 3*i - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 569422030 to the nearest one hundred thousand.\nAnswer: 569400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -5, 10161, 0.54?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 1:32 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -41208\/13 < -3171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2406 = -2*m, -5*m - 2424 = 21*i - 24*i. What is the lowest common multiple of 189 and i?\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/27, 7, -5, 4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1088900 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 151 = 92*t, 705*t = 711*t + s - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2. Let h(s) be the third derivative of -s**4\/6 - 10*s**2. Give h(u(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 9:19 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/2 - 7*i**2\/2 - 4*i = 0. What is i?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*u - 14*u - 23*u + 48*u + 6*u**2 + 211 as f*u + j + y*u**2 and give j.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**3*n**3 - h**3*n - 25*h**3 - 81*h**2*n**4 + n wrt n?\nAnswer: -18*h**3*n - 972*h**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c + 710 = 25*c. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1 + sqrt(931) + 5 - sqrt(931)) + 1*sqrt(931)*-3))**2.\nAnswer: -252*sqrt(19) + 8415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 20 - a - 6 - 4 - 7. Let v be h(5). What is the units digit of 2 + (79 - 3) - (v - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1936, -3808, -5676, -7540, -9400, -11256?\nAnswer: -13108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268*h**2*i**3 - 2*h*i**2 - i**3 + 3*i wrt h.\nAnswer: 536*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9602167 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: 312102 (base 4) to base 5\nAnswer: 102344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Let g be 13\/3 - 9\/3. Let g*j**2 + 0 - 10\/3*j**3 + m*j = 0. What is j?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-18)\/56)\/((675\/60)\/(24\/(-16))).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - 4*c)*(-24*c**2 + 27*c**2 - 18*c**2 + (c - 2*c + 2*c)*(2 - 2 - 2*c)) + 4*c**3 + 22*c**3 + 105*c**3.\nAnswer: 148*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/70 and -20\/10493?\nAnswer: 104930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Suppose -3*i = d - 5, 5*i + z*d - 8 = -2*d. Suppose i*x + 3 = -2*u + 49, 0 = -x + 2. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 = 4*h. Suppose v - h*v = 0. Let o = 1 - v. Which is smaller: o or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3326646 (base 8) to base 12.\nAnswer: 37291a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*p = 2604, 0 = p + 11 - 15. Which is smaller: -5235\/4 or t?\nAnswer: -5235\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 5 = 13. Is w*((5 - -62) + -4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f. Let y(r) = 13630 - r**2 - 13630. Determine y(z(i)).\nAnswer: -i**4 + 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -12 + 2*n**3 - 67*n + 131*n + 3 + 43 - 66*n - 18*n**2. Let d be v(9). Solve -28 = -4*z - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 15 = -7*h. Suppose h*z + 3*u - 142 = 0, -5*u = z - 4*u - 30. Suppose 5*c + 35 = 2*j, -c + z + 11 = 4*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*76\/2375*5?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(12) - sqrt(12)*-1))\/(sqrt(36)\/(sqrt(6)*-2)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 7*l + 7. What is c(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.31 - 11.2. Which is the nearest to j? (a) -1 (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - -1 - 9\/696. Is -1 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 9*v**2 - 8*v + 5. Calculate n(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**3 + 42*k**2 + 4579*k - 44. What is l(-29)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s - 78 = -702. Suppose 2*f - 264 = -s. Calculate the greatest common factor of f and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, 39, -21\/8, -0.1.\nAnswer: -4, -21\/8, -3\/2, -0.1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 7*p + 35, -28018 = 3*g + 4*p - 27998 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 943*g**2 + 167717*g + 6871341.\nAnswer: -(g - 1101)*(g + 79)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 20*s + 169*s = -1896 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 98\/(-44) - (-1)\/1. Let i = 8\/11 + l. Let m = 0.13 + 0.07. What is the second smallest value in m, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/13, -4, -3, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 10 = -q. Suppose f + 32 = -f - q*p, -2*p - 58 = 4*f. Which is greater: -14 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 8. Let u = 4 - s. Let p(q) = q**2 + 8*q + 8. Let d be p(-6). Which is the closest to -0.2? (a) d (b) -1\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 6*p + 1 = 0. Let v(r) = 13*r**3 - 2*r + 1. Calculate the least common multiple of 60 and v(p).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-7))\/((-2)\/(-28)). What is the tens digit of (a - -49) + -3 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 59792 = -10208. Round n to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4985\/(-5982))\/((-2)\/18)*20\/6\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133166.\nAnswer: 2, 11, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22*w**2 - 32*w + 30. Let k be y(1). Calculate the greatest common factor of k and 710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*b + 22*b + 3 + 3 with respect to b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmmm when four letters picked without replacement from mmmkkmmmmm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4) + -2)*-2. Suppose 4*p + 90 = h, w*h = 4*p - 2*h + 82. Let n = 72 + p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/(-6))\/((-2904)\/4752).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**5\/5 + 11*p**4\/4 + 15*p**3\/2 - 27*p**2 + 11*p + 16. Factor c(d).\nAnswer: (d + 3)*(d + 6)*(4*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -615 - -2379. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 18 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107526477 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3))**2 + 0 + sqrt(3) + 1*sqrt(243))*1.\nAnswer: 4 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h + 4. Let n(z) = -6*z**2 + 2*z - 2. Let p(g) be the first derivative of -g**3\/3 - g + 1. Let y(o) = h*n(o) - 3*p(o). Give y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 98*c - 17 - 10.\nAnswer: 98*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 964\/96 - ((30 - 34) + (-42)\/(-3))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116874521.\nAnswer: 967, 120863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 5. Let x be r(4). Let p be x\/(-4) - (-387)\/12. Suppose -i + b = -34, -4*b - 248 + 176 = -2*i. What is the greatest common divisor of p and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 - (1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 20268*o - 537. Is z(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0. Suppose 2*v + 490*t - 14 = 491*t, -2*t - 12 = 0. Let a(l) = -l**3 - 2*l**2 + 2*l + 1. Let s be a(-2). What is the biggest value in s, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**3 + 28*h**4 + 12*h**3 + 244*h - 9*h**3 - 66*h wrt h.\nAnswer: 336*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169 + -167. Sort 3\/4, c, 0, -0.5 in decreasing order.\nAnswer: c, 3\/4, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2492 * -129.85.\nAnswer: -323586.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + t - 1. Let v be d(0). Let a be v\/12 + 3\/9. Determine p, given that a - 1\/4*p**2 - 1\/4*p + 1\/4*p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 9*d**2 - 44*d - 47. Calculate h(13).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -0*w - 3*w + 2*f, -2*f + 28 = -w. Let q = w - -72. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from iiibbbijjjjbbiii?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 3 = -18*h. Suppose 10*w - 160 = h*w. What is the greatest common divisor of w and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 10*m**2 - 7*m - 19. Suppose -10*h + 30 = -30. Let l(a) = -a**3 - 5*a**2 + 4*a + 10. Let u(t) = h*o(t) + 11*l(t). What is u(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11146 greater than -10969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Suppose 0*f - 5*f + 20 = 0. Suppose 3*x - 19 = 4*m, -4*m = 2*x + f - 10. Let k(g) = 6*g + 0*g + 2 - 3. Calculate m*k(c) - 5*u(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016944606 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.5. Let i = -3.44 + 10.44. Which is greater: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, l: 7}. Give prob of sequence leel.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x - 17*x - 5*x + (-7 + 7 - 2*x)*(-3 - 3 + 5)*(-3 + 2 + 14) to the form p + v*x and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3 - 1881564*k**2 + 7526230*k - 5644668 = 0.\nAnswer: 1, 3, 940778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -69992\nAnswer: -279968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6 and -89\/248?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:27 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-4)*173\/1730)\/(126\/2).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291945167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4\/5 - 62*y**3\/5 - 444*y**2\/5 - 1088*y\/5 - 704\/5 = 0.\nAnswer: -22, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 24 = -d. Let i = -13 + 1. Let p(n) = n + 13. Let x be p(i). Sort 3, x, d in decreasing order.\nAnswer: 3, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 4*c - 290. Determine s(14).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13*39.467046\nAnswer: 513.071598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 13*b**3\/6 - b**2\/2 - 4*b. What are the prime factors of s(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8322521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1885, 7365, 16447, 29131, 45417, 65305?\nAnswer: 88795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-3 + 3))*-19. Suppose k - j = -0*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 3*r + 5. Let m be n(3). Let l = 6 - m. Suppose -l = a - 5. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**4\/12 + y. Let f(k) = 5*k - 6*k + 2*k. Give m(f(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 4*q - 4. Let c = -8 - -3. Let s be d(c). Let r be 1\/s - (-1 + -3). Solve 20 = -r*b + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1201 (base 4) to base 9\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**8\/4032 + y**7\/252 + y**6\/36 + y**5\/9 + y**4\/3 + 5*y**2. Let i(s) be the second derivative of l(s). Factor i(j).\nAnswer: 5*(j + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -87 and -2259?\nAnswer: 196533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-1 - (-6 + 3)). Suppose x*y - 12 = -4*y. Suppose y*w + 2*v = w + 26, 0 = 5*v - 15. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (7 - (15 - -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 - -1.6. Let k = 7 - d. What is k rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (99 - 207 - 3*c + 91)*(4*c + 0 + 0)*(-117*c - 2*c**2 + 5 + 118*c + 0) to the form t + w*c + s*c**3 + o*c**4 + y*c**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593501988 divided by -3.\nAnswer: -197833996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b62aa25 - 3?\nAnswer: -b62aa28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/54*(-6)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 134*j**2 + 1572*j + 115. Give v(121).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1. Let v(r) = -r - 7. Let k = 3733 - 3734. Determine k*v(l) + 4*p(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 35*i**3 + 122*i**2 + i - 3. Let s(y) = y + 6 + 1 - 1 - 12 + 3. Let t(v) = -j(v) + s(v). Find the third derivative of t(n) wrt n.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1038 - 815 = -173*k + 1953 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.9 and 7179.7.\nAnswer: 13641.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18929950.\nAnswer: 2, 5, 13, 29123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1738\/(-4345))\/(-1*(-4)\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + k - 3. Let m = -39871\/102 + 6735\/17. Let v = -31\/6 + m. Which is smaller: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 8342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 4:42 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/40 + f**4\/8 + 37*f**3\/2 - f**2 + 113. What is the derivative of q(j) wrt j?\nAnswer: -9*j**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3496 (base 11) to base 15.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + o = -47, -5*s + 10*o - 13*o + 134 = 0. Solve 17 = -4*f + s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.051 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**4 + 9*h**2 + 4*h - 4. Let j(m) = m**4 + 17*m**2 + 7*m - 7. Let a(b) = -4*j(b) + 7*x(b). Find the third derivative of a(c) wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 21*g = -1025. Let v be g\/10 + 20\/(-8). Suppose -v*i = -20*i - 16. Let f(t) = t**3 + 9*t**2 + 9*t + 10. Determine f(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 18652137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2115 + 2115.003124. Round t to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.191988*-0.09.\nAnswer: -0.01727892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 24*g + 8 = 0. Let v be 16\/(-9) - -4 - g. What is the nearest to 1 in 4, 38, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-34 - -1720)*(-2)\/(-4).\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 15*i + 120. Let c = i + 66. Calculate the remainder when 105 is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*z**4 - 175*d*z**3 - 130*d*z + 2*z**2 - 2 wrt z.\nAnswer: 24*d*z - 1050*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*(-4)\/(-3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - ((-783)\/6 + 1). Suppose -5*n - i = -684. List the prime factors of n.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 - 82*y**2 + 46*y - 392. Calculate n(27).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.385 * -2\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8436.5 * 0.4.\nAnswer: 3374.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -348 - -351. Let p = 1 + 3. Put p, -4\/9, d in decreasing order.\nAnswer: p, d, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w - 37 + 804 - 11. Calculate the highest common divisor of 4326 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -27 - 9) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 132 - 46 - 11*w**2 - 48.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h + 9. Let u(r) = -4*r - 8. Let z(n) = 5*p(n) + 6*u(n). Let c be z(3). Let l = 7 + c. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 n, and 1 l when three letters picked without replacement from nnwlowfnlownfnnnlwn?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/7 (b) 4 (c) 1110 (d) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -224.81 take away -0.013?\nAnswer: -224.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 24 = -9*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1473*v - 6181*v + 2353*v + 2353*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-449 - -446)*6\/(-702)*(2 + 0).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j**4 - 294*j**3 - 1150*j**2 - 1242*j - 396 = 0. Calculate j.\nAnswer: -2, -1, -3\/5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*l - 52 = 1644*f - 1649*f, 0 = -5*l + 42*f - 114 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*l - 12, -7*l = 2*r - 0 + 21. Let o = 1.7 - 0.7. Which is the third biggest value? (a) l (b) o (c) -3\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-75)\/45)\/(15\/(-4374)) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222 + 232 - 454 + 17647*f**2.\nAnswer: 17647*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -15*n**6\/2 - n**5\/5 + n**2 - 22*n + 210. Find the second derivative of h(t) wrt t.\nAnswer: -900*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(0*b**3 - 3*b**3 + 4*b**3) + 15*b**3 + 5*b**3 - b**3 to z*b**2 + t*b + y + u*b**3 and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23340 divided by -5835\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631540761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**6 + w**2 - w. Let d(n) = -23*n + 16*n**2 - 22*n**6 - 8*n**6 + 26*n + 25*n**2. Let v(i) = -3*a(i) - d(i). Find the third derivative of v(u) wrt u.\nAnswer: 3960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 664991 and 1961?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 11 - 5. Suppose 4*b + c*b + 20070 = 0. Let f = 1625 + b. Round f to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = o + 103, -5*o - 34 - 4 = r. Let s = 61 + r. What is the derivative of -s*b + 0*b + 32 - 23 - 2*b**2 + 9*b wrt b?\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 164700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -a - 14. Let w = a - -12. Find the second derivative of -w*h**4 + 2*h**4 + 0*h + 2*h - 3*h**4 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/17 (b) -1 (c) 1\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 7*w - 454 = 4*r, -3*r - 4*w = 331. Let z = -46 - r. What are the prime factors of z?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 146 + 11 - 25*s**3.\nAnswer: -25*s**3 + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m + 8 - 8.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 283 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 640.8219859 plus -5661?\nAnswer: -5020.1780141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46821476 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1762 + 17617\/10. Let v = -0.16 + 12.16. Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2695) - sqrt(2695)*-1 - sqrt(2695)) + sqrt(2695))\/(sqrt(20) - (sqrt(20) - sqrt(20)*2)).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1489.705 weeks to minutes.\nAnswer: 15016226.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/1880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43794310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203030 + 4?\nAnswer: 203034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*r + 334*r - 167*r + 79*r**2 + 2*r**4 - 2*r**3 + 2 to b*r**3 + h*r + c*r**4 + i + o*r**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + -2*sqrt(847) - (sqrt(847) - -2*sqrt(847))*6)**2 + ((sqrt(847) - (sqrt(847)*-2)**2) + sqrt(847))*-3 + (sqrt(847) + 3*sqrt(847) + -2)**2)*4.\nAnswer: -968*sqrt(7) + 1450064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-12)\/10)\/((-2)\/(-10)). Sort -2, u, 5 in ascending order.\nAnswer: u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1343 and 4667557.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 181*q**2. Let n(w) = -5*w + 4. Let o(t) = -25 + 22 + 12*t - 8*t. Let k(i) = 3*n(i) + 4*o(i). Give j(k(h)).\nAnswer: 181*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c + 21. Calculate t(-8).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-605)\/(-363)*2\/(-15)*(6 + -18)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67650*l**3 + 84704*l wrt l?\nAnswer: -405900*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 12*a**2 + 23*a - 32. Let f be j(10). Which is smaller: f or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719556889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (4 + -3 + -2 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**5\/60 + o**4\/3 + 3*o**2. Calculate t(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**3 + 7*h**2 - 4*h**3 - h**3 to w*h**3 + v + g*h + a*h**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a2367 + 5?\nAnswer: -a2362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -j - 2*u, -u + 6 = -j + 3. Suppose -2*n + 2*q + 2 = j, -2*n - 5 = -5*n + q. Does 13 divide (52\/8)\/(n\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 2*o - 317. What is y(-16)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1194449274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 27. What is the least common multiple of 7 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 + 216 + 10*k**2 + k**2 + 6*k**2 - 19*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 434208?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/20*2\/2)\/(740\/(-3848)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 356 - 356.000000287. Round h to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 30 = 3*d, 11*g - 2*d = 6*g + 71. Calculate the remainder when 35 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 9 = -6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 44?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16263 is divided by 62.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 473, 510, 561, 632, 729, 858?\n\"Answer: v**3 + v**2 + 27*v + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110180 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**2 - 7*y - 2. Let a(k) = 5*k**2 - 6*k - 2. Calculate -5*a(x) + 4*m(x).\nAnswer: -x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 + 101*h - 36. Let q be p(33). Let w be 60\/8 + (-75)\/q. Determine d, given that -3\/8*d**w + 0 + 0*d + 0*d**2 - 9\/8*d**4 - 3\/4*d**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143391 = -7*x + 4*x. Suppose x = -j + 259797. Round j to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150771836 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.13 - 30.63. Sort 1, 2\/9, -2\/5, 1\/10, g.\nAnswer: -2\/5, 1\/10, 2\/9, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 324*q + 627?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 825803400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130824123 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -4*b - 10, 2*b = 5*g + 20. Suppose -7*o + 2*o = 115. Let p = g - o. Solve 0 = -l - 4*a - p, 32 = 4*l - 3*a - a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 9. Suppose 2*a - l - 1 = 0. Suppose -r + a = -0. Solve -n + 6*x - r*x = -6, 2*n = 2*x + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 24 = 2*n - 0, -k = 4. Suppose 7 = 3*w + 1. Find the first derivative of -w*u**4 - 8 + 0*u**4 + n wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 10*r - 12*r)*(-r**3 - 2*r**3 + 2*r**3 - 2*r**3 + 0*r**3 + r**3 + (5*r**2 - 3*r**2 - 3*r**2)*(r - 2*r + 3*r)).\nAnswer: 8*r**4 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/10 and 12\/829.\nAnswer: 8290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 - 9*r + 99. Let b(i) = i**2 - 2*i + 22. Let z(h) = 9*b(h) - 2*y(h). Let a(t) = -3*t - 45. Determine a(z(p)).\nAnswer: -3*p**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 2*i. Suppose 13 + 17 = 5*g. Let w(j) = j**2 - 6*j + 6. Let u be w(g). Let h be b(u). What is the highest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38340360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(110) + 1*sqrt(110))*-5 - (sqrt(110) - (sqrt(110)*-2 - sqrt(110)) - sqrt(110))*-3)\/(sqrt(60)\/sqrt(24) - sqrt(270)\/sqrt(3)))**2 + 4.\nAnswer: -12*sqrt(11)\/5 + 369\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 + 23 = 0. Let z be 2\/3 - 37\/(-3). Suppose -h*f - z = -58. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170838369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06556 to three dps.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 7*f + 2. Give o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6\/191 (b) -4 (c) 3\/58 (d) -2\/3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + v**2 + 14*v**3 - 6147*v + 6147*v as u*v + b*v**2 + j + c*v**3 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292\/(-146)*188\/16*2.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 83*l**3 - 1751*l**3 + 155 - 103.\nAnswer: -1834*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6) + 20\/15. Let f(i) be the first derivative of -2*i - 2*i**2 - h*i**3 + 1 - 1\/8*i**4. Determine u, given that f(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3 = 0, -4*n - 2*g - 8 = 70 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, p: 2, a: 3, r: 9}. What is prob of picking 1 p and 1 u?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 306 - 18*j**3 + 2*j**2 - 312 - 4*j**2 + 16*j**3 as h + g*j**2 + m*j**3 + p*j and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -37*c**6\/180 + c**5\/40 + c**4\/12 + 7*c**2. Let l(p) be the second derivative of w(p). Is l(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 62542152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**3*m - 1093*a**3 + 37*a**2*m + 10*a**2 - a*m - 4*a + 15862*m - 10 wrt a?\nAnswer: 24*a*m - 6558*a + 74*m + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 + 178*k + 543. Calculate the smallest common multiple of f(-3) and 5264.\nAnswer: 47376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101*(-12152)\/(-125240))\/((-29)\/10 - -3).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1290268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 4*b**2 - 4. Let i(n) = 498*n**3 + 16*n**2 + 1125*n + 16. Let v(w) = -i(w) - 4*z(w). What is the second derivative of v(t) wrt t?\nAnswer: -3012*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5311357 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 - 8*p + 3. Let s(m) = 2*m - 53. Let d be s(29). Give x(d).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 346*n**4 - 3*n**3 + 3*n - 344*n**4 + 4*n**3 - 5*n**2 as a*n**3 + q + l*n + w*n**4 + k*n**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2787431?\nAnswer: 1493, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26215 + 26214. Let b(h) = -h**3 + h - 5. Let y(v) = -5*v**3 - 5. Let k(c) = -3*c**3 - 3. Let j(z) = 7*k(z) - 4*y(z). Calculate d*b(w) + 5*j(w).\nAnswer: -4*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 6*t**2 + 6*t - 3. Let d(m) = -11*m - 1. Let q = 9 - 8. Let j be d(q). Let r = j - -7. Give n(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (450 - 448) + 6\/2. Solve 0 = -2*y - l*v + 8 + 11, -4*v + 18 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1545*p - 1555*p = -10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625*n - 2618 = -632*n. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2981*m**3 + m**2 - 2*m - 3*m**4 + 0*m**4 + 2973*m**3 as s*m**2 + l*m**3 + w*m + u*m**4 + n and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4211466 - 113?\nAnswer: -4211612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/5 - 39*r**4\/5 - 18*r**3 + 12*r**2\/5 + 24*r = 0. What is r?\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 + 28*n**2\/5 - 99*n\/5 + 72\/5.\nAnswer: -(n - 24)*(n - 3)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 5*o - 4. Let j be z(-1). Suppose -j*i + 161 = 4*i. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2136 + 3142. What are the prime factors of f?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/745 less than -320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 648*h**2. Let m(j) = -4*j. Give m(q(w)).\nAnswer: -2592*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13385 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169 != 2172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -56926585?\nAnswer: 1\/11385317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-18 - (-21 - 7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9664 - -9666. Solve -2*c = -4*r - 10 - 2, 4*r = -g*c - 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -530*w**2 - 2385*w**2 - 27 - 243*w**2 + 27 to y*w**2 + v + a*w and give y.\nAnswer: -3158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -810906 or -810918?\nAnswer: -810918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 + (-16)\/(-7). Let z(s) be the third derivative of 0 + 643*s**2 - 1\/6*s**3 - 7\/24*s**4 + 0*s. Calculate z(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)\/i)**(-30\/13)*i*i**(1\/4)*i**(-6) assuming i is positive.\nAnswer: i**(-157\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 57, -4 in decreasing order.\nAnswer: 57, 6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Suppose 48 = h + 3*h. What is the greatest common divisor of p and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 14 + -7 + -2 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*d = -2245 - 2397 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 3254504?\nAnswer: 3254504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, o: 2, q: 1}. Give prob of sequence dddd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7847671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*h**2 + 11*h - 3*h**2 - 177 + 175 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 4. Let w be y(2). Let h be 6\/8 - 27\/(-12). Suppose -2*n + 2*j = -n - 14, 3*n = -3*j - h. Solve 0 = w*t - 6*t + n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41085 and 10305.\nAnswer: 9408465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 + -1 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60913031.\nAnswer: 19, 3205949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 239473528 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -8 + 2 - -11) + -6 - -3 - 55?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.21 + -0.55. Let s = a - 2.86. Let x = -3 - s. Which is bigger: x or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 + 2*u**3 - 1 - 666*u**2 - 687*u**2 + 1296*u**2 - 3*u to x*u + r*u**2 + s + d*u**3 + t*u**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 9105 = -2127. Is s a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2caac6 (base 15) to base 9\nAnswer: 4055266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 693882, -128.\nAnswer: -128, -2\/3, 693882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y, -4*x - y + 9 + 12 = 0. Suppose -z = 1 - 3. Calculate the remainder when x is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58*(0 - 2)*-1. Suppose 41*d + 78 = -8*d - 29*d. Let a = d + k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*w = 13671 + 24021. List the prime factors of w.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210 + 102?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075877.\nAnswer: 11, 47, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25564?\nAnswer: 2, 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45210708545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**3\/6 - y. Let c(h) = 9*h. Let r(z) = 4*z. Let i(t) = 2*c(t) - 5*r(t). What is x(i(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 2) + 2 - -2. Suppose -2*r + 8 = -2*p + 2*r, p - g*r + 12 = 0. Suppose 1 = z - p. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86277624071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 11, -13, 0, -14 in ascending order.\nAnswer: -14, -13, -5, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-50))\/(2\/(-20)) - (14 + -29).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 6:22 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -6, 9, 1, -35 in decreasing order.\nAnswer: 9, 3, 2, 1, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*j**4\/5 - 128*j**3\/5 - 324*j**2\/5 + 32*j\/5.\nAnswer: j*(j - 8)*(j + 2)*(21*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332202 (base 4) to base 5.\nAnswer: 112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**2 - 2*y + 2. Let m be z(1). Calculate the greatest common divisor of m and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z**4 + 17*z**4 + 4*z**2 + z**3 - 2*z**2 - z + 5 as d*z**2 + q + l*z**3 + g*z + y*z**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13316*l - 4364*l + 3017*l to the form m*l + p and give m.\nAnswer: 11969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d - 8. Suppose -5*i = d*w - 11, -3*i = -2*i + 1. Suppose 4*r = -4*k + 29 - 9, -2*r = -4. Solve -k*b = -b - w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 3272.46.\nAnswer: 359.9706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 - -7 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004193875 to five dps.\nAnswer: 0.00419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/151 in 3, 1\/4, -2.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2))**7\/(c**(-1\/12)*c**0)*((c*c\/(c\/(c*c\/c**(-3))))\/(c**(-1)\/c))\/((c\/c**(-4))\/(c\/c**(3\/8)*c*c)) assuming c is positive.\nAnswer: c**(221\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 7. Let k = -20 - -16. Let p = 4 + k. Which is the nearest to p? (a) z (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/(2\/1))*12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 14 - 247*k - 1)*(-k - 11*k - 7*k + 3*k).\nAnswer: 3952*k**2 - 96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 1. Let v be t(3). Let x be 4\/(1 + (-2 - 0) + v). What is the units digit of (3\/(-2))\/((-1)\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -372.99 + 391.9. Let o = h - -0.09. Let s = -16 + o. Which is the second smallest value? (a) s (b) -0.34 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*-6*(sqrt(931) + 0 + sqrt(931))*-1*3*-5)**2.\nAnswer: -3016440000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1042565\/41 - 25428. What is the closest to -1 in -5, 1, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 117824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 890.7911l in millilitres?\nAnswer: 890791.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1477.9999271 + 1478. What is d rounded to six decimal places?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -39\/10 (c) 2\/7 (d) -2\/7 (e) -0.1 (f) 0.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 16*v**2 - 33*v + 64. Let n be w(-13). Suppose -6*p = -3*p - 141. Let q = n + p. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 861 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -72. Let q be 66\/8 + 1\/v. Suppose 12*t = q*t + 16. Solve -3*u - t = -7*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -250*k**3 - 8*k + 3. Let p(r) = r**3 + 3*r - 1. Determine m(v) + 3*p(v).\nAnswer: -247*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2870 and 16810?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*h = 14, 80*h = 4*g + 78*h + 38 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20116 - -613521?\nAnswer: 633640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9 - 24 = 3*c, 3*a - 25 = 5*c. Let w(p) = -p**2 + 9*p - 12. Let x be w(7). Put c, -2, x in decreasing order.\nAnswer: x, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 - -3)\/(-8))\/((-2)\/16). Let v(y) = 2*y**2 - 5*y - 6. Let x be v(j). Let a be ((-6)\/(-5))\/((-4)\/(-10)). Solve f - x = a*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1350 divide 108622946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2258448953?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k - 5*q = 480, -q + 399 = 4*k. Suppose 0 = c - 3*c - 3*r + k, c - 46 = 2*r. Suppose 5*j - c = j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 2*g + 7. Let w be 51 + 0*(-3)\/(-9) + -1. Let h = -55 + w. Give o(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/14 and 66\/(-16)*(-36)\/(-27).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, n: 3, m: 1, o: 1, y: 2}. Give prob of sequence om.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 10:34 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1252604.6730516 + -1252605. Let u = -0.327 - x. What is u rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*-8 + 3)\/((48\/(-3726))\/8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/(-5) - (-4)\/(-10). Suppose -4 = -t + y. Let d = -10 + t. Solve 6*p - d*p = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2791740 divided by 966?\nAnswer: -2890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -8) + -6 + 3 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -124, -196, -288, -406, -556?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 6*z**5 - 3*z**5 + (3*z**4 - 6*z**4 + 2*z**4)*(3 - 3 - 2*z) + 2 + z**5 - 2 + 5*z**5 + 2*z - 2*z + (-5 + 4*z**3 + 5)*(-2*z**2 + z**2 + 3*z**2).\nAnswer: 17*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 9*i**3 + 0 + 9436*i - 9436*i.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 + 4*q**3 + 2*q**4 + (-3*q**2 - 2*q**2 + 2*q**2)*(1 + 2 - 2)*(-4*q**2 + 0*q**2 + 0*q**2).\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 73. Let b be i(24). Let s = b + 14. Suppose -3*w - z + 15 = 0, w + 3*z - 6*z = s. Solve -w*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 + 10*n**4 + (2 - 2 - n**3)*(-3*n + n + 4*n) - n**4 + 4*n**3 - 4*n**3 + (3*n + 0*n - 4*n)*(-2*n**2 + 2*n**2 + n**3))*(2 + 5 - 4).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(56)\/sqrt(2) + 2*(sqrt(28) + sqrt(112)\/sqrt(4)))\/(((sqrt(400) - 3*sqrt(400)) + sqrt(400))*-1).\nAnswer: 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -799 + 799. Suppose 47*c - 18*c = d. Does c = -4\/213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*m - 114*m - 136*m + 531*m - 16 - 89*m as a + t*m and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 1400*n - 5680.\nAnswer: 5*(n - 284)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 2, 85 in descending order.\nAnswer: 85, 2, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or 1205675?\nAnswer: 1205675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(2*r - 42 + 38 - 6*r) as h*r + b and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 5*q + 2. Let t be u(-5). Suppose 2*a - t*w + w = 302, 0 = w + 4. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226503 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*26\/117*(-45)\/510?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 733623 - -4?\nAnswer: 733627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 21.7. What is the nearest to 12 in 2\/7, j, 2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15908 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than -0.21115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 + -1111?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/18*-9)\/12 - 495\/(-24).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -d - 1 - 6, 4*d = 3*o - 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10 - (-69)\/(-805).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 73 = -5*p, -g + 17 = p + 4. Calculate the remainder when ((-215)\/15)\/(2\/(-6)*1) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*(5 + (-1 + sqrt(1377))**2*4))*-1.\nAnswer: -16555 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 225?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*z + 5*z + 112 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(175) + -5).\nAnswer: 20 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 51602.167508909?\nAnswer: 51605.167508909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**4 - 21*l**3 - 1980*l**2 + 6048*l = 0.\nAnswer: -24, 0, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/9 - 1\/9. Let c = 592.9 + -590.9. What is the smallest value in 12\/7, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3619\/3 + 1206. Sort -62, f, 0.23 in increasing order.\nAnswer: -62, f, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**3 - 3 - 4 - 2*j - 10*j**3 - 6*j**2 - 5*j. Let t be a(-5). Let l = 22 + t. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 c, and 1 e when three letters picked without replacement from {c: 1, e: 2, l: 2, j: 1, a: 1, w: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -4. What is the biggest value in s, 2, -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2))\/(k\/k**3)*(k**0*k)**(29\/3)*((k**(-4\/7)\/k)**19)**35 assuming k is positive.\nAnswer: k**(-3091\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 - 3*x**4 - x**4 + (-6 + 0 + 4)*(0*x**4 - 3*x**4 + 4*x**4) + (205*x - 2033 + 2033)*(3*x**3 - x**3 + 0*x**3) + (-x - 3*x + 2*x)*(-x + x + x**3).\nAnswer: 405*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 15. Let t = m - -9. Let p be (-5)\/(t\/4)*6. Let l(z) = z + 4. Give l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(304) + (2 + sqrt(304))*4 - (3*sqrt(304) - sqrt(304))*5)*-3)**2 + -2.\nAnswer: -8622002 + 360000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 253716 - 745?\nAnswer: 252861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 1 - 5. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.1. Let g be (-5 + 60\/(-8))*(-16)\/10. Suppose 0 = -g*s + 7*s + 26. Which is the nearest to 4? (a) m (b) s (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/111 - (58 - -1)*(-7)\/(-21).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/5, -28, 84?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + y. Let d(a) = -5*a**2 + 11*a + 3. Let j(b) = d(b) - 6*k(b). Suppose 1 + 2 = 3*n. Let p = n - 4. Give j(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24 - -990791018829.5.\nAnswer: 990791018829.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29678547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3726916.\nAnswer: 2, 931729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j - 7. Let q(g) = 5*g - 4. Let l be (-1)\/5 - (-58)\/(-10). Let w(a) = l*u(a) + 11*q(a). List the prime factors of w(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-8))\/g)**(2\/177)*(g**16*g)\/g*g*g*g\/(g**12*g))**(-8) assuming g is positive.\nAnswer: g**(-8384\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h - 33*h = 55 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4333*f**4 + f**2 - 2*f + 36671.\nAnswer: -17332*f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 43\/(1 + -2). Let z(r) = -7*r - 4. Let m be z(-2). Let c = m + y. Calculate the smallest common multiple of 8 and c.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = 3*y - 36, 4*y - 60 = -2*r. Suppose -6 = -4*x + y. Solve x*m = -5*q - 15, -2*q + q + 9 = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1044*z + 137157 = 187269 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 k when three letters picked without replacement from {k: 2, o: 1, f: 1, r: 1, b: 7, h: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -2 - (-1128 - -1138 - (-2 - (2 + -16)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 16*v**2 - 4*v. Let f(r) = -r. Give f(o(b)).\nAnswer: -16*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, -6265, -4.2, -0.1, 2\/7, 0.2?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 5. Let m be u(4). Let t be (-7 - -3)*m\/(-2). Suppose 2*v - 104 = -t*v. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 64922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k. Suppose -3*g = -2*g - 3. Suppose -10 = -g*u - 2*u. Give r(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*w**3\/7 - 30*w**2\/7 + 24*w\/7.\nAnswer: -3*w*(w + 4)*(3*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7))\/(-4*4\/112).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 851114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 38. Let r be n(40). Solve 28 = 12*v - 8*v - 5*s, 4*s + 12 = -r*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddudddddddududdd. What is prob of sequence uuud?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 18 = -3*q, 3*q - 78*m - 18 = -70*m for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from hvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-342) - (-192)\/(-114) - 35?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4805*a**4 - 3503155*a**3 - 636751320*a**2 + 640259280*a.\nAnswer: -5*a*(a - 1)*(31*a + 11316)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114376 - -95275238\/833. Let g = -4\/49 - x. Let h = -1 - -1. Are g and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - p**4 + 4*p**4 + (-4 + 4 + p**2)*(p**2 + 1 - 1) + 4*p**2 - 4*p**2 - 2*p**4 + 10 - 19*p**4 - 10 + 18*p**4 - 93*p**4 - 2*p**4.\nAnswer: -95*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 94328 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 3\/7 - -25*430\/70?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14400 = 121*t + 239*t for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133430 and 27413800.\nAnswer: 301551800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/2 of a gram in milligrams?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 19) + 23 - (-5 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1854150\/(-347706) + (-32)\/(-6). Which is the nearest to 0.1? (a) -3 (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, and 1 o when three letters picked without replacement from {t: 7, b: 2, p: 4, u: 1, o: 1, y: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 less than 90859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2.95. Let t = 33.95 + p. Let m = -34.29 + t. Round m to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/192 and 7\/2652?\nAnswer: 42432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 764 and 213243.\nAnswer: 162917652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 32.5 (b) -51 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i - 9. Let d(h) be the first derivative of 3*h**2\/2 - 4*h + 113. Suppose 5*c - 3*c = -18. Let v(a) = c*d(a) + 4*l(a). Let g(o) = o. Give g(v(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 1145. Let b(l) = 2*l - 35. Calculate g(b(h)).\nAnswer: 4*h - 1215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -378 from -4463980432.\nAnswer: -4463980054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 8 - (-5)\/(-1) - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*2 - sqrt(108)) + -2)**2 + 4 + -5 - (sqrt(108) + (4*(0 + sqrt(108)))**2)*3*1.\nAnswer: -5073 - 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002837462 rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**2 - 15*i**2 - 2*i**4 + 4*i**3 + 2*i + 12*i**2 to y*i**2 + h*i + s + b*i**4 + z*i**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -0.33 (c) -2 (d) 30 (e) 14 (f) 4 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.5, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8047 and 286?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4097975 is divided by 2767?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l - 3. Let d be z(3). Let c = -8 + d. What is the remainder when 0\/(-1 + 4) - -9 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3409?\nAnswer: 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 29 - 2\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 7*k**2 + 3*k + 90. Let l be t(-8). Solve 2*v = l, 4*q + 2*v = -q + 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -804643 - -804629.000048. Let u = d - -14. What is u rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 29*n + 6. Calculate z(-26).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**2 + 1494*v + 12888. What is o(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -12. Let f = p + 3. Suppose 4*b + 13 = f*u + 84, 2*b + 3*u - 41 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-2) + (-70)\/(-245) + 6. Sort -411, n, -4\/7 in ascending order.\nAnswer: -411, -4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 227 (b) -0.2 (c) 2\/9 (d) -2\/41 (e) 5\/4 (f) 1\/49\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*s = 563*s - 292 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*f*z**4 + 12205*f*z**2 - 1922*f*z + 180*f wrt z?\nAnswer: 1104*f*z**2 + 24410*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169*w + 926 = 22*u + 1170*w, -5*u - 3*w = -0*w - 216 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiibb. Give prob of picking 1 b and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 13*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 7*a**2 + a + 9. Let h = 6 - 6. Suppose 3*b - 3*n - 58 - 35 = h, 3*b = -5*n + 85. Calculate the remainder when b is divided by l(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-10)*1\/(-3). Let m = -12.22 + 12. Let v = m - -2.22. Sort v, o, 2\/9 in descending order.\nAnswer: v, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11289223 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -51.9. Let j be 3\/(-33)*4\/(-2). Which is the nearest to t? (a) j (b) -0.4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**4\/12 - 5*q**3\/6 - 3*q**2 + 11*q. Let b be w(6). Let m(n) = -n**2 + n + 15. Give m(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7))**(-3\/14))**(-10\/7) assuming r is positive.\nAnswer: r**(-30\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0 (c) 69 (d) -1 (e) -1\/180223 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 6, 1, 3, -5, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 9*v + 2. Let p be y(-8). Let x be -3*p\/45 + (-52)\/(-195). What is the closest to 0 in x, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/(-56)*1*1\/4\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/102 - 25*j**3\/51 - 600*j**2\/17 - 4339*j. Factor o(b).\nAnswer: 2*(b - 40)*(b + 15)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 47*a**2 + 92*a - 249. Let x be b(-49). Solve 81 = -18*y + x*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -16852?\nAnswer: 16858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 + 3700*m**4 - 58025*m**3 + 75550*m**2 + 340000*m + 202720 = 0 for m.\nAnswer: -1, 4, 14, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71593, -71610, -71623, -71632, -71637?\nAnswer: -71638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*z = 7, 3*z + 0*z = 4*f - 17. Suppose -4*u - 5*l = -37, -2 = -2*l + f. Suppose 198 = u*c + 3*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39 - -5) + -43 - (1 + -16) - -68\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*s + s**2 + 20*s)*(10 - 2 + 1)*(1 - 1 + 2).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 v when three letters picked without replacement from {v: 7, f: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x*x)\/(x*x**(-13)))\/(x**(-2\/3)\/x**3) assuming x is positive.\nAnswer: x**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 44. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (245\/1750)\/(308\/88).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99256 - 99385.934. Let i = w - -130. What is the third smallest value in -3, i, -0.2, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.03 - -1.53. Which is the third biggest value? (a) u (b) 3\/4 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/20168 = -7418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhjh when four letters picked without replacement from {h: 4, i: 5, j: 5, r: 6}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooj when four letters picked without replacement from {j: 3, o: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-874)\/(-855))\/(103\/9270)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1466 + 1523?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**4 - 13 + 9*n**3 + 1 - 40056*n**2 + 40056*n**2 to m*n**2 + o*n**4 + l + c*n + q*n**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqqqceqcqqlcqqcq. Give prob of sequence qeq.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + j = 2 - 15, -2*z + 5*j + 29 = 0. Suppose z = -7*y + 404. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116 or 4502\/39?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -16 + 14 + (710\/175)\/2. What is the third smallest value in w, -0.5, 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 441, 629, 943, 1383?\n\"Answer: 63*z**2 - z + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 14*m - 23. Let t be k(-8). Let j = 5 - -15. Suppose 20*f - t*f = j. Let g(q) = q**2 + 2*q + 3. Calculate g(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r**2 + 12*r**2 + 12*r**2)*(-5*r**2 + 2*r**2 + r**2) + (0*r**4 - 3*r**4 + 2*r**4)*(1 + 2 - 5) - r**3 + r**3 + 2*r**4.\nAnswer: -22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2 and -99\/18446.\nAnswer: 18446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 11 = -y, -2*j + 13*y = 16*y + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-4)\/(-8)*(-2 + 0)). Solve -2*d - 2*d + 2*w - 8 = 0, d = k*w - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11*v = -13*v + 105, 4*q + 3*v = 420. What is the greatest common divisor of 168 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5126946 or 5?\nAnswer: -5126946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/78 and 31\/15.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000305 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353, 1408, 3167, 5630, 8797, 12668?\nAnswer: 17243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 5 (c) 16 (d) -4 (e) 2\/7 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 9*g**2 + 2*g + 7. Let r be c(8). Suppose 0 = 5*f - r - 4624. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 214.31 * -3422\nAnswer: -733368.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.036 + -28.964. Let d = -40 - c. Let u = -11.125 - d. Round u to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4756*f + 14272. What is d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d + 1 - 1 + 0.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55678 = -30*x + 102842. List the prime factors of x.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6746577 is divided by 210?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/82, 0.4, 17, 0.2, -1\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, -59, -149, -239, -329?\n\"Answer: -90*b + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 619, 868, 1121, 1378?\n\"Answer: 2*w**2 + 243*w + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 30*v**2 - 1371*v + 1370. Determine y(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-30))*n**(-31))**(-5\/16) assuming n is positive.\nAnswer: n**(305\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 3*w**2 + 0*w**2 + (5*w - 4*w - 2*w)*(-20*w + 0*w + 10*w))*(8 - 8 - 14*w**2).\nAnswer: -182*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-6*sqrt(275)).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 at least -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - ((-38)\/6 - -1). Let y(n) = 32*n - 222. Let l be y(7). Factor l*r + g + 2\/3*r**2.\nAnswer: 2*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 137232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 3. Let s be j(5). Let r be -1*s\/(-6) + (-112)\/(-24). Calculate the greatest common divisor of r and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 26. Let o be v(0). Let r = 40 - o. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.165 + 1.165003329. Round b to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 13 = 42*k - 38*k, 0 = 5*k + 3*n - 13. Solve 3*w = 2*t + 1 - 0, 0 = k*t + 4*w + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 968\nAnswer: -1\/968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from jsgjggsggggg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 122, 7476 in decreasing order.\nAnswer: 7476, 122, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-44) - (-1290)\/1155. Which is smaller: j or 27.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(2\/15)*s))\/s)\/s**(18\/13)*s**(2\/9)*s**7)**(14\/9) assuming s is positive.\nAnswer: s**(38528\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 127, 296, 533, 838, 1211, 1652?\nAnswer: 2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 4*r**2 - 6*r - 1. Let j = -29 - -24. Let u be n(j). Let o be (-10)\/8 - (-6 + u). What is the nearest to 1 in o, -1\/4, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 31, 60, 69, 40, -45, -204?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i. Suppose i*s + 20 = 5*s. Suppose u - 9 = s. Solve 4*y + 2*j = -0*j + 18, 2*j - u = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1658? (a) 4 (b) -0.1 (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 103907, 207825, 311751, 415685, 519627?\n\"Answer: 4*z**2 + 103906*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**6\/120 + 11*t**5\/10 - 23*t**4\/6 - 41*t**2. What is the second derivative of g(p) wrt p?\nAnswer: 6*p + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*u + 13 = 2158 + 243 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.76505 milliseconds?\nAnswer: 2765050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d - 4*d + d + (0 - 3 - 4)*(-d - 5*d + 4*d) + (-d + 0*d + 3*d)*(4 + 1 - 3) to the form x + i*d and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 314534 and 351538?\nAnswer: 5976146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 17*q**2 - q + 9. Let d be n(2). Suppose 72*m = d*m - 1203. What are the prime factors of m?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 - -130. What is the third derivative of 56*p**2 + 3*p**3 + 7*p**4 - 8*p**4 + j*p**3 wrt p?\nAnswer: -24*p + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.3 + 5. Let a = -0.69 - 0.11. Let j = a + 0.4. Put i, j, 3 in descending order.\nAnswer: 3, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -2\/3, 8, -3, -11, -43?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 4*z + 34*z - 407 = 0. Solve 41*p = z*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tremmexxeztmt. What is prob of picking 1 x and 1 t?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 77696\nAnswer: -55\/77696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11385790 is divided by 1188?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14863156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10}. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6*o + 0 + 4*o + 11.\nAnswer: -2*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m + 41*m + 88*m = -1080 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*4*-3 - (sqrt(65) + -1*(sqrt(65) + -2*sqrt(65))))\/(-6*(sqrt(80) + 6*(sqrt(80) + 2*sqrt(80)) + sqrt(80))).\nAnswer: 7*sqrt(13)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.7 + 33. Which is the second smallest value? (a) y (b) 0.1 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose -q - a*q = -15. Suppose -3 = 5*r + 2*k - 86, r = 2*k + 7. Solve q*l + r = 0, 2*l - 9 = 3*v - 0*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -2*j - 2\/3*j**3 - 2*j**2 - 1. Let a be q(-2). Sort 2\/9, 1\/8, a in decreasing order.\nAnswer: 2\/9, 1\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/6 + 3 - -2. Suppose m - 3*m + 8 = 0. Let n be (-34)\/110 + m\/10. Which is the second smallest value? (a) n (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14531874, 14531875, 14531876, 14531877, 14531878?\nAnswer: 14531879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 99301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*5\/(325\/15)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-39 - -32)) + (-3 - (14 - 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 6074, 17\/4, -77 in increasing order.\nAnswer: -77, 2\/13, 17\/4, 6074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 177498475 to the power of 1\/2, to the nearest integer?\nAnswer: 13323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121929*b + 2015*b**4 + 60960*b + 3190*b**2 + 60967*b wrt b.\nAnswer: 48360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 52b02 - 10?\nAnswer: 52ae2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/7))**9\/((h*h**(6\/11))\/(h\/(h\/h**(-9\/2)))) assuming h is positive.\nAnswer: h**(-1921\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 5. Let r = 36 - h. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 689298, 689301, 689304?\n\"Answer: 3*r + 689295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.757668 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(2)*-4)\/(sqrt(891)*1 - sqrt(11)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*g**3 - 17*g**3 + 100*g**3 + 39*g**3.\nAnswer: 157*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 - -26. Let m = u + 65. What is the closest to m in 1\/4, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcrctfrctrrr. What is prob of sequence fcrc?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*c - 75, -4*d - 61 = -5*c + 44. Solve 3*g = -4*y + 11, 5*g + 0*y = 2*y - c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -0.03, -1, 1.25 in descending order.\nAnswer: 1.25, -0.03, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 1 + 20*j**3 - 2*j**3 - j - 9*j**3. Determine q(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Let v be ((-65)\/(-10) - 5) + -2. Which is the third smallest value? (a) v (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67.9+122434554\nAnswer: 122434621.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2.6791068+5\nAnswer: 2.3208932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1513510*k - 16262102 wrt k.\nAnswer: 1513510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5522.\nAnswer: 2, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/16)\/(42\/(-56)). Suppose -5*u - 5*n = -8*u - 6, -3*u = 3*n - 18. Which is the nearest to -1? (a) u (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 1, o: 2}. What is prob of sequence hj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/1002 and 47\/11.\nAnswer: 11022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (39\/(-9))\/((-179)\/(-180) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1\/13, -13\/4 in descending order.\nAnswer: 1\/13, -1\/8, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:09 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395006, 789570, 1183236, 1575554, 1966074?\nAnswer: 2354346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p**2 - p - 2160890. Let i(m) = -3*m**2. Give b(i(j)).\nAnswer: -108*j**4 + 3*j**2 - 2160890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.1 - 23.4. Sort s, 0.3, -2\/13, 4 in decreasing order.\nAnswer: 4, s, 0.3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5402 + 2*n + 2*n - 3*n + 5402.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82289, -82284, -82279?\nAnswer: -82274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1027 and 12013365.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -171, 1515, -18.\nAnswer: -171, -18, -4\/3, 1515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 5*i**2 - 24*i - 71. Let g be 1 - 4 - -1 - (-113 - -118). Let j be c(g). What is the closest to 5 in -4, 4, 2, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1390115 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 2. Let w be 1\/(-3)*(3 - 0). Let n be t(w). Factor o + 0*o**2 + 7*o + n*o**2 - 4 - 4*o**2.\nAnswer: -4*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 (base 8) in base 7?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 810 - 85. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 22*y**2 + 28*y - 48.\nAnswer: -2*(y - 12)*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*j + 7 + 1, 0 = 3*w - 2*j - 6. Let t(k) = -3*k + 2. Let s be t(w). Which is the second biggest value? (a) -2\/5 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 less than -0.1?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2 - 24*q - 21 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 8*l - 7. Let k = 4 - -6. Suppose -4*r = -2*r - k. What are the prime factors of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6237 * 0.2\nAnswer: 1247.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**4 - 22829*s**3 + 2*s - 150324?\nAnswer: 8*s**3 - 68487*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q*q\/q**(-2\/27))*q))\/(q**(-5)\/q))**33*((q**(-1)\/q)\/q**(-3))**3 assuming q is positive.\nAnswer: q**(1831\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-12) + (-141)\/(-9) and -81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281 is divided by 1277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 + 0.3. Let p = -2.5 + 1.5. Let k = 1.64 - 1.54. Which is the nearest to p? (a) k (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two sevenths of a week in days?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -34*k**2 - 21*k + 3. Let l = -507 + 495. Let p be h(l). What is p rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.122 times -2.14\nAnswer: 0.26108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 28 = -5*p, -5*j - 4*p = -7 + 18 + 24 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 6*i + i)*(43*i - 17*i + 2 - 19*i).\nAnswer: 63*i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d - 4 = 0. Is d\/24 - 106\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43232, -86465, -129700, -172937?\nAnswer: -216176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -112011220 (base 3) in base 12?\nAnswer: -5b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-14))\/((-9)\/(-42)). Solve g*n - 3*n = -v - 23, -5*v - n = 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.45 + -0.95. Let t(h) = -6*h + 7. Let g be t(-3). Suppose g = 5*j + 5. Which is the third biggest value? (a) -0.2 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43277, 43397, 43517, 43637, 43757?\n\"Answer: 120*s + 43157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*t - 72, 3*o - 3*t + 2*t - 113 = 0. Let y = -11 + o. Let c = y + -13. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33\/236 - -92611\/708. Let q = k - 126. What is the common denominator of ((-1)\/(-3))\/(1\/13) and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1848 and 3696?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -131286, 3, -9 in decreasing order.\nAnswer: 3, -9, -131286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyy when three letters picked without replacement from xynexcyxyny.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.37 - 33.27. Which is the closest to z? (a) -0.5 (b) 3 (c) -0.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1))\/i**(-5\/4))**(-6\/29)*i**(1\/9)\/i*i*i*i**3*i*(i\/(i\/i**(2\/3)*i*i))\/i**(-1\/9) assuming i is positive.\nAnswer: i**(1679\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210*31*12\/1395.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13100314441 + 3?\nAnswer: 13100314444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*g**3 - 90*g**3 + 3*g - 3*g.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6.2, -4\/7, -8.\nAnswer: -8, -1, -4\/7, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -39.37. Let q = 0.43 - y. What is the third biggest value in -6\/7, q, 0.4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:59 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 - g**2 + g + 4. Let z(x) = 10*x**3 + 4*x**2 + 104*x - 23. Determine -4*o(f) - z(f).\nAnswer: 2*f**3 - 108*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1817750 and 220?\nAnswer: 3635500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 33. Let x be (-16)\/(-9) + -2 + (-734)\/18. Let s = -51 - x. Is 10 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 12 = 2*g, 3*n - 1 = 14300*g - 14301*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50) - sqrt(200)) + 4 - sqrt(500)\/(sqrt(20)\/sqrt(2)))*1)**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37297 times -3237?\nAnswer: -4444.30389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 42. Let o be 24\/v + 2\/3. Put 0.5, 0.2, o in ascending order.\nAnswer: o, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-95708)\/(-13) + 18\/(-117). Find the second derivative of a*n**2 + 2*n - 2 - 7444*n**2 - n wrt n.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1332*s - 45400 = 338*s - 140*s + 286*s for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130)*2 - sqrt(130)))\/sqrt(10) + (-2 + sqrt(13))**2*-1.\nAnswer: -17 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*k - 12*m + 50, -13*k + 10*m = -15*k + 8*m + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, 0.4, 0.25, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -3)\/(-2 + 3). Suppose -2*j + 58 = h, o*j = 5*h + 67 + 93. Let c be 7*(1 - (-13)\/7). What is the highest common divisor of c and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244 divided by 5.\nAnswer: -244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + ((sqrt(275) - (sqrt(275) + -1)) + sqrt(275) - (sqrt(11) + sqrt(132)\/(sqrt(48) + sqrt(12)))**2) - (-2*sqrt(396)*4 + -2)).\nAnswer: -194\/9 + 53*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*6\/36*0\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/8)\/((-1225)\/98 - -14)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10069, -10054, -10035, -10012, -9985?\nAnswer: -9954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 536282?\nAnswer: 3217692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15268)\/(-36) + 6\/(-54)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 84804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 + -71. Let j(h) = 2*h + 12. Calculate j(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p\/p**(-2\/15))*p)\/p*p)\/(p**15*p) assuming p is positive.\nAnswer: p**(-212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.14 and 1666.43045?\nAnswer: 1664.29045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 4. Let g be -1 + h\/(-1) + 3. Let p be (0 - (-1)\/12)*g. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -233\/42*t**7 + 0*t**2 + 2 + 7\/3*t**3 + 0*t**6 + 0*t**5 + 0*t**4 - 174*t. What is the second derivative of g(k) wrt k?\nAnswer: -4660*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-29))\/o*o**(1\/7))**31)**(-1\/27) assuming o is positive.\nAnswer: o**(6262\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8865937 divided by 28.\nAnswer: -8865937\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71207 + 6267. Let d be (-8 - f\/8115)*3. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 49 (b) -1\/2 (c) -1 (d) 0.2 (e) 6\/77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 22\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 10*u - 16. Let t be s(-8). Let c(x) = x**2 - 6. Calculate c(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3171342, 3171343, 3171344, 3171345, 3171346?\n\"Answer: u + 3171341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.23514728 rounded to 3 dps?\nAnswer: -6.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4389 - 0.4789. Put -110, -1, -5, 4, z in decreasing order.\nAnswer: 4, z, -1, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-10))\/((-6)\/(-340)). Let i be (-2 + 3)*n + 1. Let t = 106 - i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236 - -665. Let y = 428.9998914 - z. Round y to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-2 + 16*k + 2).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*w + 21 = 0, 4*w + 4138 = 6*t + 4170 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 + p**3 + 3*p + 23*p**4 - 13*p**4 - 11*p**4 + 30 + 43 - 8 to the form r*p + j*p**4 + z*p**2 + t + u*p**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -131*m**4 + 11*m**3 + 11*m**2 + 11*m - 76. Let y(o) = -26*o**4 + 2*o**3 + 2*o**2 + 2*o - 15. Let a(u) = -2*d(u) + 11*y(u). Differentiate a(g) wrt g.\nAnswer: -96*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 263 + -259.84. Let k = -3.16000912 + z. What is k rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/2322 and 67\/540?\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*b**2 + 43093*b - 43093*b + (57 - 14*b - 57)*(-b - b + 0*b) in the form u + f*b**2 + w*b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - -254?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -15, -10, -5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 - (-555)\/(-108). Let u be 3\/((-63)\/14)*78. Let r be (2 + (-52)\/8)\/((-39)\/u). Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37164360.\nAnswer: 2, 3, 5, 337, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/16)\/(5\/(-10)*3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/113, 0.3, 5, -2, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 178208*l**2 - 45 + 71.\nAnswer: 178208*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = g - 152 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1870\/33 + 2\/(-3). Suppose -2*t = -0*t + b. Let a = 78 - t. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8790188 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(7 - 6)*(0 + -140) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 0.2, -140, 11, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -11010000?\nAnswer: -11010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227*m - 756*m - 713*m + 1333*m**2 + 501*m wrt m?\nAnswer: 2666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - m)*(-m + m + m + (4 - 5 + 5)*(m + 2*m - 5*m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 20*v**2 - 5*v - 8. Let w = 72 - 8. Let d = w + -57. Is f(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3136 less than -4104?\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*g + 49 + 1166 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 331728 times -446\nAnswer: -147950688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*j - 670, j - 185 = 7*m - 3*m. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30.2436 and -9107.\nAnswer: -9137.2436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 1415 and 1415 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 307, 653, 999, 1345?\n\"Answer: 346*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-52)\/(-5))\/(10\/(-25)). Let y = -26 - f. Solve -4*b + 3*u = 35, 2*b = -y*b + 2*u - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c97 (base 14) in base 12?\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915096.\nAnswer: 2, 3, 7, 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f**2. Let o(w) = 21*w - 2*w - 10*w + 7*w. What is o(q(n))?\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33393 is divided by 321?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + b + 31 - 9 = 0, 4*d + 14 = 3*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 17*c - 196. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 188 + -128. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*sqrt(55)\/(sqrt(11)*-1).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = 13*b - 84 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r = -87*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 290850*234\nAnswer: 68058900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*s + 16*s - 2256. Is s at most as big as -664\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from cckkkfck.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -208.94 and -1.63.\nAnswer: 340.5722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (-117 + 82)) + -8 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x. Let p = -5.1 + -3. Let s = p + 8. Is s bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/(j*j\/j**(-2)))\/j))\/(j\/j**4))**(2\/7) assuming j is positive.\nAnswer: j**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 8, -13, -42, -79, -124?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mme when three letters picked without replacement from {m: 4, k: 3, g: 1, y: 3, s: 2, e: 6}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16123*g**2*k**2*z**2 - 2*g**2*z**2 - 10*g**2*z + g*k*z**2 + 2*g*z**2 + 107*k*z**2 wrt k.\nAnswer: 32246*g**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145515.6ms to hours.\nAnswer: 0.040421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2.72956, 3 in decreasing order.\nAnswer: 3, -0.2, -2.72956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22635 (base 9) to base 4.\nAnswer: 3223322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 z, and 2 t when four letters picked without replacement from {z: 3, t: 13, v: 2}.\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9587, -9583, -9579, -9575, -9571?\nAnswer: -9567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 - 2*v - 4*v**4 + 0*v)*(621*v + 320626 - 320626).\nAnswer: -1863*v**5 - 1242*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 583662 and 190104.\nAnswer: 207783672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, l: 5, x: 7, u: 1}. What is prob of picking 1 x and 1 u?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1825.614 + 0.5.\nAnswer: -1825.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4962.598 centuries to decades.\nAnswer: 49625.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118051683*n**2 - 108*n + 241975?\nAnswer: 236103366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*(0 + sqrt(2) + sqrt(2) + 1)**2.\nAnswer: 48*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 24 = 0. Suppose -3*s = -7*s + h. What is the remainder when 3 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 12) to base 4.\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0047? (a) -0.02 (b) -0.3 (c) -6 (d) 103\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 18*a**2 - 12*a + 47. Is 18 a factor of t(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqqdddqqddd. What is prob of picking 2 d and 2 q?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b**2*m*x - 280*b**2*m + 273*m*x - 533*m + 19*x with respect to x.\nAnswer: -6*b**2*m + 273*m + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*h - 1298 + 406, 0 = -4*h + 8. Does 48 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5094, -9945, -14782, -19611, -24438, -29269, -34110, -38967?\nAnswer: -43846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495943 is divided by 373964?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(605) - -1*sqrt(605))*1)**2 + sqrt(605)*-1 + -2).\nAnswer: -22*sqrt(5) + 4836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -625431*m**4 - 2501718*m**3 - 3127131*m**2 - 1250832*m + 12 = 0.\nAnswer: -2, -1, 2\/208477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1687, -18646, -64687, -154354, -302191, -522742, -830551?\n\"Answer: -2424*b**3 + 3*b**2 + 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = -4*r + 5*m - 9, 0 = 4*r + 2*m - 410. Solve -12*a - r = -152 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*c - 14 - 6, 0 = -3*p - 5*c + 7. Let v be ((-272)\/5)\/(p\/30). Let y = v + -52. What is the greatest common factor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*q - 20, 0*q + q + r - 10 = 0. Let t be ((-2)\/q)\/(2\/12). Which is bigger: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.392875 and 0.13?\nAnswer: -0.18107375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10617040 and 840?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-6)\/(-1) + (-43)\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*j**2 - 102*j**2 + 8*j**2 + (0*j - 2*j + j)*(-2 - j + 2) - 2750*j + 2757*j - 2*j**2 - 3*j**2.\nAnswer: -129*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (429\/130)\/(124\/10 + (-208)\/16)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/3)*b)**(1\/6))**7 assuming b is positive.\nAnswer: b**(-7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 17. Let d(l) = -6*l + 1. Calculate -4*d(r) + i(r).\nAnswer: 22*r - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 11*n**2 + 29*n - 1. Let p be (0 - -2 - (1 - -2))*-12. Let a be g(p). Let k = a + -106. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -19. Suppose -7*g = -5*g + 70. Let a = -24 - g. What is the lowest common multiple of l and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1731+7\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 454228447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/9 and -10\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/n**(-15)*n**(7\/5))\/(n**14\/n)**49)**10 assuming n is positive.\nAnswer: n**(-6176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*9\/(-1440)*8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+-0.047\nAnswer: -0.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Suppose 5*p - 1 - 18 = -f, -p - 4*f = 0. Suppose -r - 3*r = c - 48, -o*c = p*r - 56. Calculate the highest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 5:46 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 256, 302, -48, -986, -2704, -5394, -9248?\n\"Answer: -32*x**3 - 6*x**2 + 288*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*1 + -5)*-2)**2.\nAnswer: -240*sqrt(17) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 448*u + 3. Is w(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**3\/3 + 3*u**2\/2 + 2*u + 1. Let t be g(-2). Suppose 3*k - 3*x - 135 = 0, 2*k = -t*x - x + 84. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 7. Let d = s + 23. Solve -r = -4, -2*r + d = 5*f - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-1)\/(-2))\/(4\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26323460981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 2:25 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 2 + 8 + (-1 - 4 + 2)*(-2 + 0 + 5)*(0 - 2 + 0))*(2 + 2*q - q - 4).\nAnswer: 54*q - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/(-8) + 2\/(-8). Suppose 27*p + 6 = 30*p. Solve -k*v = -5*f - 35, -f + 18 = -p*v + 6*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/279)\/(((-32)\/(-96)*3\/(-9))\/(-61))\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 542550.1 days in nanoseconds?\nAnswer: 46876328640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5, -2, -2\/125, -4?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + g - 5 + (2*g - g + g)*(2 + 1 + 2) in the form q + p*g and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/795 - -3496\/795. Factor 16\/3*t**2 + f*t + 6\/5 + 32\/15*t**3.\nAnswer: 2*(t + 1)*(4*t + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -114 - i + 4*i + 101. Let q(x) = x - 4. Let a(y) = 4*b(y) - 11*q(y). What is a(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k - 1. Let t be i(-1). Let n(j) = -57*j**2 - 5 + 0*j**3 - j**3 - 8*j + 49*j**2. What is the lowest common multiple of n(t) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 0.3 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/6 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2795339, -5590708, -8386077, -11181446?\n\"Answer: -2795369*s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 481?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 135, 272, 409?\n\"Answer: 137*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 110 (c) -8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 6*g + 8. Let o = -55 + 59. Suppose 7*a - o*a + 15 = 0. Let t be z(a). What is the greatest common divisor of 12 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {o: 2, a: 1, h: 2, s: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 21028239.\nAnswer: -21028243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.41. Let u = 0.053 - 0.123. Let v = u - 0.13. Which is bigger: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -51)*(-12)\/(-30). Suppose 0*u + 4*u = x. Put -5, 0.3, -0.5, u in decreasing order.\nAnswer: u, 0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -868.61, 2\/3, 94\/15 in decreasing order.\nAnswer: 94\/15, 2\/3, -868.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -147720 to the nearest one thousand.\nAnswer: -148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 15052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -9*a**5\/35 + 3*a**4\/28 + 2*a**3\/7 - 52. Solve u(c) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127467929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434523510.\nAnswer: 2, 3, 5, 239, 20201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.0012 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2a6 + 7?\nAnswer: b2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -40. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 6880\/975 - (32\/240 + 0)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8113.477mg to tonnes.\nAnswer: 0.000008113477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74704827 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 68*a**5 - 4*a**3 + 3*a - 4. Let q(t) = -t**5 + t**3 - 2*t + 1. Let l(s) = h(s) + 4*q(s). Find the second derivative of l(o) wrt o.\nAnswer: 1280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 14*t + 52. Determine v(5).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3793 (base 10) to base 15\nAnswer: 11cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -429499, -1717951, -3865371, -6871759, -10737115?\n\"Answer: -429484*s**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11776 is divided by 231?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2101 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 7. Is 12 a factor of (11*-3)\/u - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.18 and 47.\nAnswer: 55.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -336 + 649. Suppose 2*w = -5*b + x, b + w - 66 = 4*w. Suppose 7 = 7*a - b. Solve -3*r = -4*o - 5, 3*r - 2*o - a = 3*o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 1, r: 4, f: 2, a: 2, x: 3}. Give prob of sequence rar.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*h + 108, -2*h - 2*d + d = -48. Let s(m) = -h*m + 5 - 3 + 5 + 24*m. Let b be 2\/2*2*4. Give s(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 8 + 46 = 0. Let t be (g\/(-7))\/(15\/(-70)). Suppose 4*d + 155 = 5*w - 0*d, 0 = w - t*d - 47. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h**3 + h**2 + 3. Let q be 1 + -1 + 3 + -1. What is the remainder when f(q) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + -3 + -6 - (-3 + 2). Sort 3\/10, -2, a, -4, -5 in descending order.\nAnswer: 3\/10, -2, a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 16011270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14190 and 23865.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -14*l - 1. Let m(y) = y - 3. Let h be m(7). Suppose v + 5*w - 13 = -0, -2*v = -h*w + 16. Let j be v\/(-2 + (6 - 2)). What is f(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 14 + 10*j + 13. Let g be x(2). Solve 0 = -t + 5*q - 4, -5*t - g = -q - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100001103 - 10?\nAnswer: 100001033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1055 + 24?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*z + 38, -4*h + 2*h - 56 = -5*z. Let a be (1*3)\/(z + -11). Suppose -5*s + i = -a*i - 140, 0 = 2*s - i - 53. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037964 rounded to four dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/7))\/(v**(-2\/15)\/v) assuming v is positive.\nAnswer: v**(194\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 798, 874, 1006, 1194?\n\"Answer: 28*s**2 - 8*s + 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 20, 2\/11, 5, 82807?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9681 - 6022. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 0 - (sqrt(11) - (((sqrt(44))**2 - sqrt(11)) + 5)) - (1*sqrt(11) + 2)*-6.\nAnswer: 5*sqrt(11) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2. Let d(i) be the first derivative of -19*i**5\/30 + 11*i**2 + 59. Let h(z) be the second derivative of d(z). What is h(j(f))?\nAnswer: -38*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17434 and 132.\nAnswer: 1150644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -611184*s + 5351. Is q(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35900 rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -298540 from -1.\nAnswer: 298539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from {h: 1, i: 2, q: 1, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrw when three letters picked without replacement from {w: 2, r: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6706*c**2*o + 57*c*o + 56*c wrt c?\nAnswer: -13412*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/371840 and 47\/706496.\nAnswer: 7064960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 369 - 368. Is 1\/3256 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -26 and 2.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (1 - 0\/2). Suppose -3*k + 5 = 4*z, -5*z + 3*k + 5 = -c*z. Solve 6*q**4 - 6*q**z + 6*q**3 - 3*q + 3*q**5 - 6*q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o = 4*d + 23, -3*o - 1 = 2*d. Let n(k) be the third derivative of 1\/60*k**5 + 0 + 1\/8*k**4 + 0*k - 2*k**2 - 1\/2*k**3. Calculate n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -6.48.\nAnswer: 2.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40249 + 120746 - 40248 - 40249 - 4*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4, -6 = i - 6*f + 9*f. Let s(l) = l - 4. Suppose -a - 2*a + 25 = k, 16 = 4*k. Let n be s(a). Solve -n*h - 3 + 0 = i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 108 = 3*j, 7*i - 12*i = -2*j - 128. Solve -5*d = 3*x + i, 2*x = -2*d - 3 - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -20 + 23. What is the nearest to -2\/9 in p, 8, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12611954, 12611958, 12611962?\n\"Answer: 4*y + 12611950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-42) - 4\/14)\/(245\/735)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143924585?\nAnswer: 5, 7, 883, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.942 + -2.8. Let n = x + -0.442. Let k = 755\/9 + -84. What is the third smallest value in -3, n, k, 3\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - (1 - 0 - 4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l + 4196 = 4438 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = 365. Let w = 1951 + -2032. Let i = w + r. Is 39 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 74, 107, 140, 173, 206?\n\"Answer: 33*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2186205 and 7560.\nAnswer: 157406760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42008?\nAnswer: 2, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2065 (b) -66 (c) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1048115 days to milliseconds.\nAnswer: 9055713.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2876?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 0*t + 3*t)*(-2 + 3 + 11) + (2 - 7 + 3)*(t + 0 + 0) to the form h*t + y and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*c**2 - 156*c**2 - 4 + 3 - 48*c + 2*c**3 + 310*c + 70*c**2 to the form j*c**2 + u*c + g*c**3 + p and give u.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51067872 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/2 - z**2\/2 - 272*z. Let b = -9 - -6. Calculate s(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1416 and 4286586.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -501 + 498. Find the common denominator of 7\/44 and (-78)\/(-192)*(q + -4 + 0).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10377 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3464958 and 0.3.\nAnswer: -0.0464958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 62. Suppose z - 19 = o. Is 5\/((-15)\/6) + z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + y - 5*y + 4*y - 37 = -r, -104 = -11*y - 2*r for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3\/88, 2\/13, 1\/4, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b - 186. Let a be g(26). Let c be (6\/a)\/((-82)\/492). Is -8 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l - 65. Let i(n) = 13*n + 131. Determine 9*f(y) + 4*i(y).\nAnswer: -2*y - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1062 or -17643?\nAnswer: -1062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 113593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*m = -19, -2*w - 2*m = 4 - 2. Suppose -8 = w*z, -5*a + 3*z + 26 = 5. Solve v - 3 = 0, -6 - a = 2*p - 3*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*x = 0, 3*w + 4*x - 13 = 22. Suppose -4*m - 28 = k - 5*m, -w*k - 4*m = 158. What is k rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/15 and 26\/365.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9762 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 20426*m**4 - m**3 - 2*m**2 - m - 10173*m**4 - 10202*m**4 - 3 as v*m**3 + t + f*m**4 + w*m**2 + j*m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10953.6 rounded to the nearest one hundred?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48414 by -6.\nAnswer: -8069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1443*w + 2364 = -64848 - 26857 + 3160 for w.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/30 + 0 + 9\/5. Solve 7 = -2*k + c, u*k + 5*c = -0*k - 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -32*a**4 - 88*a**3 - 6*a - 625. Let u(v) = 37*v**4 + 87*v**3 + 7*v + 623. Let f(r) = 7*j(r) + 6*u(r). Differentiate f(b) with respect to b.\nAnswer: -8*b**3 - 282*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7386044*y - 11344068.\nAnswer: 7386044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.86?\nAnswer: 0.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -3)*(-4)\/20*5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10*h**2 + 3 + 2*h**2 + 2*h**2 - 13*h**2 - h. What is the remainder when 10 is divided by d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/102406707 or 2\/3?\nAnswer: -2\/102406707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.8, 0.0558, -90?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3077283 is divided by 235?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 774*p**2 - 386*p**2 - 389*p**2. Let h(m) = 813*m**2. Give l(h(x)).\nAnswer: -660969*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1629, -3.\nAnswer: -7, -3, 1629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2437.4047 - -2432.2. Let m = -0.38 + -4.82. Let p = f - m. Round p to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4446 and 0.88801.\nAnswer: -3948.09246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -2*k. Let a = k - -2. Let v be 2 + -5 - -1 - -4. Is a > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.31 plus 0.7?\nAnswer: 16.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**7*l*l*l**8*l*(l**(-2)*l)\/(l*l**(3\/2)) assuming l is positive.\nAnswer: l**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s - 8. Let o be t(-2). Suppose 5*b + f = -0*f + 168, o*b = 5*f + 117. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -9.9. Let o = 10.1 + f. What is the third smallest value in -5, o, -3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 4\/3*k**3 + 3\/2*k**2 + 0*k - 6. What is the second derivative of t(r) wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-55) + (-36)\/(-20). Factor -6\/5*f - 2\/3*f**3 + 4\/15 + r*f**2.\nAnswer: -2*(f - 1)**2*(5*f - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1051 and 0.4?\nAnswer: 420.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhffgbh. What is prob of sequence bf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -10. Suppose -4*x - 11 = n*j + 5, 3*x - 5*j - 4 = 0. Calculate the common denominator of x and 28\/6*2\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0316 times 3.44369?\nAnswer: 0.108820604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/174174 and -35\/1661.\nAnswer: 26300274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 890 divide 1204881614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/18, 3, 0.48, -98, -5, 2\/21, 4?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -247\/769230 and 39\/67562?\nAnswer: 63846090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 12*u**2 - 21*u - 29. Let l(d) = -17*d**2 + 26*d + 47. Let y(q) = -7*b(q) - 5*l(q). Calculate y(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2325552?\nAnswer: 2, 3, 48449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t + 2*t + 7*t + 6*t)*(2*t - 2*t - t**3).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 25*k - 26. Suppose -22 = -k*q - i + 2098, 2*q - 2114 = 2*i. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374995919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*11\/(-11))\/(240\/8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/9 - 134*u**2\/9 - 2432*u\/9 - 2048\/3.\nAnswer: -2*(u + 3)*(u + 32)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -11*k + 10*k. Let a be (-5)\/6*(k + -11). Let x(i) = -i**2 + 5*i + 4. Calculate x(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 472020.8 to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39572427*y**3 - 104137887*y**2 wrt y?\nAnswer: 237434562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, 96217, 5.\nAnswer: 1, 5, 9, 96217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0.1 (c) 3\/5 (d) -7 (e) 1\/29 (f) 118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -27*w**2 - 96 - 3*w**2 - 3*w**3 + 19*w - 115*w = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 4. Let g(c) = -81*c + 4365. Let l be g(54). Determine n(l).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34b317 + 8?\nAnswer: -34b30f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, -8, 13, -3, -279?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 54*h - 34. Let l(k) = 5*k + 1. Let s(d) = c(d) + 5*l(d). Let q be s(3). What is the highest common divisor of q and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 30. Let v be w(20). Let t(m) = 26*m - 18. Let y be t(3). Calculate the greatest common divisor of y and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvwfwvowosovvo. What is prob of picking 2 w and 1 o?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*(-129)\/(-860)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/976 and -97\/6032.\nAnswer: 367952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2285 divided by -4?\nAnswer: 2285\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38275941 from -8.\nAnswer: 38275933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -4 - -3)\/(-3). Let q be o\/(-7) + (-1098)\/(-21). Suppose -q*k = -47*k - 15. Solve 1 = g + k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 32. Let c be 105*(4 - (-1 + 4))*1. Calculate the highest common divisor of r and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3309, -3310, -3311?\nAnswer: -3312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2 - 2, 3*n = -5*k + 65. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8832)\/(-304))\/(-4) - -7. What is the second smallest value in 1\/5, z, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9845*y**4 - 1260236880 - 9850*y**4 - 476280*y**2 + 921*y**3 + 40007520*y + 1599*y**3 = 0. What is y?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 7*g + 3. Let q be r(-5). Let c(w) = 6 - 14*w**2 + 12*w**3 - 14*w**3 + 1 - 3*w. What is the remainder when c(q) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -325.851 - -326. Let w = 578 + -577.949. Let i = w + t. Put 2\/9, 4, 2\/19, i in increasing order.\nAnswer: 2\/19, i, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from jjvvxxxxjxxjxj?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1009 divide 48503639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q = -10. Let d be ((-6)\/28)\/(24\/32). Let s = 0.5 - 0.6. Which is the nearest to s? (a) q (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 257*u**2 - 113*u**2 - 13*u**2 + 319*u**2 + (5 - 5 + u)*(0*u + 3*u - 4*u).\nAnswer: 449*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uquu. What is prob of sequence uqu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 22*s**2 + 4*s - 53. Let w = 213 + -236. What is the tens digit of q(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80394800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -52*(-6)\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*b = -104. Suppose 2*q + 21336 = b*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/3)\/((-3)\/36). Let o be (-117)\/(-12) + 15\/j. Find the first derivative of 120 - o*y - 111 - 8*y wrt y.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1785 - -2583. List the prime factors of h.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknkg. What is prob of sequence kg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 42. Let r be 92\/204 - 1\/3 - 21090\/(-1938). Give l(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/7)*q**(-1\/6))\/(q**(-3)\/q**(-1\/4))*q\/(q\/(q**(-1\/3)\/q))*(q\/(q\/q**9*q))\/q*(q**0\/q)**(3\/4) assuming q is positive.\nAnswer: q**(103\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -18*p - 472. Determine f(-24).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-5 + 2 + 2)*(5*b - 24*b + 3*b + (0 + 0 + b)*(3 + 1 - 1)).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 17.7 (c) 13914\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/17576 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*g**3 + 71*g**3 - 132*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 18 - 54 = 0. Suppose 2*z = x - b, -3*z = -2*x - 2*x + 38. Do x and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*y + 80, 4*a - 2*y + 74 - 8 = 0. Let k be 5 + (-11)\/(11\/24). Is a > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127804 and 435388?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 182843500 rounded to the nearest one million?\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 2:06 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-177)\/3)\/((-1)\/((-5)\/1)). Is (-177)\/h + 83102\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thththhhhhh. Give prob of sequence ttht.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33470123?\nAnswer: 503, 66541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z - 302 = -152014. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and 6\/23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18874872949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((5 - 55) + (-5 - -5))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 0.037?\nAnswer: 0.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -56*f + 13. Let s(o) = 65*o - 12. Calculate -4*j(a) - 3*s(a).\nAnswer: 29*a - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2031 + 1089 = 208*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 436, 655, 874?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (13 - -69 - (16 + 2))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 46. Suppose 4*z = -4*c + 88, -c - 15 - 29 = -2*z. Let q be g(z). Let m be -3 + (-7)\/(-2) + 3\/q. Solve 0 = 4*j - m*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 61 = -2*j - 40. Suppose -3\/4*f**2 - 3\/4*f**4 + 9\/4*f - 9\/4*f**j + 3\/2 = 0. Calculate f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 253781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 152.4087292 + -152.4. Round m to four decimal places.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(((-5)\/25)\/((-80)\/(-500)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -6*d + 7*d - 24, 57 = 4*i + 1804*d - 1801*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 6*b + 11. Let w be j(4). Suppose 0 = -18*g + w*g + 4, -3*a = 2*g - 88. What is the lowest common multiple of 24 and a?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -56325*r + 2253005. What is s(40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**3 + 2*s**2 + 2*s - 5. Suppose 3*w - 3*z - 17 = -4*z, -27 = -5*w - 2*z. Let f(y) = -10*y**3 + 7*y**2 + 6*y - 15. Calculate w*t(r) - 2*f(r).\nAnswer: -r**3 + 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1925646 by -2.\nAnswer: 962823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4159636\/7 - -594236. Let g = 912\/7 - 130. Factor 30\/7*k**2 + g + z*k.\nAnswer: 2*(3*k + 1)*(5*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 + (-26)\/2 + 4. Solve 12*h = 6*h - w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 311 (b) -0.249 (c) 683\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.11 - -0.11. Let w = u - -9. What is the closest to w in -1, -0.3, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + -2b87895?\nAnswer: -2b878aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*54\/(-4))\/(36\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 224*r**2\/13 + 170*r + 3344\/13.\nAnswer: 2*(r + 8)*(112*r + 209)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-30)*b)\/(b\/(b*(b*b\/(b\/b**(-7)))\/b*b)))**(-35))**(13\/7) assuming b is positive.\nAnswer: b**2275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = 110*b - 329 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6) - 2036\/(-8). Let v = s + -127. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*f + 193*f = 69*f - 65*f + 51168 for f.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13718.931346 + 0.031346. Let y = j + 14319. Round y to the nearest ten.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796*r - 220*r + 6693 - 12430 = 22487 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -453014 (base 7) to base 10\nAnswer: -80273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.155?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**2 + 2007953340*n - 201593830780857780 = 0.\nAnswer: 200795334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 - 9552*y**3 - 30413568*y**2 - 32278933504*y.\nAnswer: -y*(y + 3184)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-11186))\/(2\/8)*7?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*g - 87, 0 = -4*j + 4*g + 100 + 16. Calculate the lowest common multiple of j and 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (sqrt(162)*-2 - sqrt(162)) - sqrt(162))**2*-2*6 - ((3*(sqrt(162) - (sqrt(162) + -1)) - sqrt(162) - sqrt(162)) + 1))*4.\nAnswer: -70000 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + 414232?\nAnswer: 414112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:20 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 1169380 = 11*b - 38*b. Is 59 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.58 - 0.567. Let v = d + 0.287. Let r = 106\/7 - 332\/21. Which is the closest to 1? (a) v (b) r (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-24)\/(-972)*8541\/52.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**2 + 17*q + 26. Let m(g) = 6*g**2 + 18*g + 27. Let k(c) = 7*l(c) - 6*m(c). Determine k(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228841421?\nAnswer: 23, 9949627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 5, r: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*u + u + 2*u)*(1 - 1 - 2) + (-2 - 1 + 2)*(3 - 3 - 2*u))*(-8 - 1 - 4) + 2*u - 2*u + 13*u to m*u + v and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from qoksscskhkkhhh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*a + 43 - 3. Suppose -3*p - 12 = 0, 0 = w - 3*p - 7. Let t = 8 + w. Solve -a - 1 = -t*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (680\/(-935))\/(28\/1155)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -712.91293 to the nearest ten.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4044291us in minutes?\nAnswer: 0.000000006740485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2757048 and 1512.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 7*c - 2*c. Let s(u) = -2*u + 2. Let v(j) = 1. Let q(a) = -s(a) - 4*v(a). Let x be q(0). Put x, c, 4 in descending order.\nAnswer: 4, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*y**2 + 55 + 3*y - 4*y - 56 to the form i*y + r + q*y**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -j + 32 + 29, 3*j = -3*c + 69. Let z = 31 - c. Calculate the greatest common divisor of z and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 19 + 0 - 4*h - 14 as z*h + s and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3157506304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 89403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -9767, -1\/7, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + 12\/3 + 5. Let l be (v - 15\/13) + 938\/13. Calculate the greatest common divisor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 11*k + 20. Determine y(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/18)\/((-272)\/(-780)) and 22\/21?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1195438 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19908 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 2*p - 1. Let x(b) = -b**3 - 29*b**2 - 6*b + 46. Let m(u) = 4*l(u) + x(u). What is m(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1381897, 1381871, 1381845, 1381819, 1381793?\n\"Answer: -26*s + 1381923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*r - 11 = -1, -3*r = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4.6. Suppose -4*u = -y - 3*u - 1, 4*y + 24 = -u. Let s be 2\/(-3) - (-2 + 2). Which is the nearest to -0.1? (a) s (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7*t = 11*t - 16, 3*l - 14 = -t. Suppose -4*p = -5*s - 563, -2*p + 3*s + 304 = l*s. Sort p, 1, 3.\nAnswer: 1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40.6 (b) -0.1 (c) -1602.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5891676772 and 0.03.\nAnswer: 5891676772.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125078581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58650725 is divided by 6782.\nAnswer: 6771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364865603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2)*5)\/sqrt(7).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 324 = -3*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 x when four letters picked without replacement from iciccccxxicccicc.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 minus 1714?\nAnswer: -1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1214423025?\nAnswer: -1214423033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.72082ug to grams.\nAnswer: 0.00001072082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 74*o**3 - 3*o + 2. Let i = 17 - 12. Let l(u) = 4*u - 1. Calculate the remainder when p(1) is divided by l(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 32*l**2 - 31*l - 4. Let n be f(31). Suppose -2*m = 3*t - 9, 15 = -4*m - m. Let r be (t\/(-15))\/(n\/(-3)). Sort r, -7, -3 in decreasing order.\nAnswer: r, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -1\/63*m**7 + 0 - 1\/45*m**6 + 1\/15*m**5 + 0*m**2 - 193*m + 0*m**4 + 0*m**3. Factor n(c).\nAnswer: -2*c**3*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -m - 245, 2*m + 79 = -3*d + 336. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -180, -117, -2, 183, 456, 835?\nAnswer: 1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a + 68. Let k be t(7). Calculate the greatest common factor of 266 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173690*i**3 + 215205*i**2 wrt i.\nAnswer: -1042140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 = 0, 4*j + a - 5*a - 12 = 0. Suppose 0 = 5*w - 2*t - t - 233, -78 = -j*w + 5*t. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 11*z**2 - 10*z - 1. Let b be m(-10). Let x be 3 + b - (-8 + 0). Solve -4*s - x = -9*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and -441383?\nAnswer: -13682873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4 = -7, 3*r + 2*j - 14 = 0. Let u(k) = -k**3 + 5*k**2 - 5*k + 2. Calculate u(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = 4*q + 8, 4*q - 20 = 5*m. Let g(u) = -u**3 + u**2 - u - 13. What is g(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 8*k**2 - 3*k + 2. Suppose 5*z - 2*i + 50 = 0, -3*z - 2 = -2*i + 32. What is the remainder when g(7) is divided by 10 + z\/4 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013007 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50, -88, -124, -158, -190, -220, -248?\n\"Answer: j**2 - 41*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + 4*c**3 - c**2 + 2*c**2 + 13*c**3 in the form q*c**2 + u*c**3 + i + t*c and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*l = -48*l - 40. Let i = -3 + 7. Suppose -5*n + l = -i*n. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbwwwawwwbaabwhhaaw. Give prob of sequence hb.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 20. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -93*f - 2. Let k(d) = 813*d**2. What is x(k(i))?\nAnswer: -75609*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -143\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 144376*z - 5211107344.\nAnswer: -(z + 72188)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64679 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(150)\/sqrt(80))\/((sqrt(200)\/sqrt(5))\/sqrt(4)) - (sqrt(144)\/(sqrt(20)\/sqrt(5)))\/sqrt(12)*-6.\nAnswer: 27*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6929417 - -6930670.90256. Let h = -1242.1025486 + z. Let f = 11.8 - h. Round f to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13303 - 10100322?\nAnswer: -10021013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s\/(s\/((s*s\/s**(-1))\/s)))\/s))**(-1\/6)\/(s**(-1))**0)\/((s**(-7)\/s**(1\/3))\/((s**5*s)\/s**(-4\/7))) assuming s is positive.\nAnswer: s**(577\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 384063008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-10 - (1 + -6)) - (22 + -34 - -7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(2 + (-20)\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/28 + 7\/10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a8 + 3?\nAnswer: 2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -247792\/5 less than -49559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3024207, -3024293, -3024379, -3024465?\nAnswer: -3024551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -4, -44, 5 in descending order.\nAnswer: 5, 2, 1, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935450242.\nAnswer: 2, 3617, 129313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*c + 4*w, 0*c - 5*c = -4*w - 155. What is the remainder when c is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 161, 181, 207, 239, 277?\n\"Answer: 3*g**2 + 11*g + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmom when four letters picked without replacement from mmomoomomot?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -28. Which is the nearest to -1\/2? (a) 1 (b) 2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 3 - (-54 + (-28 - -42))) + -13\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (2522 - 4))*6\/(-8). What is the hundreds digit of j\/5 + 48\/(-120)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1, 0.5, -5.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a (base 11) to base 6.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*i - 8*i - 265 + 725 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let v(k) = -2*k**2 + k - 1. Let g(j) = -3*c(j) + 2*v(j). Let m(u) = 4*u**2 - 4*u + 1. Calculate 2*g(x) + 3*m(x).\nAnswer: 4*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 353, 1, -2.\nAnswer: -2, 1, 2, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1020 and 79305?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144300430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 7.03. Let j = c + 4.97. Let v = 27.5 - 31.5. What is the nearest to -1 in -1\/8, j, v?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -209? (a) 3 (b) -5 (c) -3\/8 (d) -18 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/54*6201\/(-1113)*-6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4371 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*j = -206*j + 70 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -120504\/5479?\nAnswer: -120504\/5479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 - 8*j + 9. Let u be s(6). Let l be 3 + 2 + u - 3. Let f(m) = -12*m**3 - 2*m**2 + 1. What is the units digit of f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -55. What is the third smallest value in p, 3\/10, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2584da (base 14) in base 15?\nAnswer: -1a763b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 4) + (-9)\/(-3). Let j be (-14)\/((-2 - o) + -2). What is the greatest common divisor of j and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**4\/12 - 5*b**3\/3 - 17*b**2\/2 + 9*b. Let m be x(-7). Solve m*q + 9 = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-4 - (-9 - -5) - -12)) + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3745473 and 0.2.\nAnswer: -0.27490946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64566486 and 23043.\nAnswer: 64566486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-4 + 2) - (-13 - -10)) + -17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00258786 rounded to five dps?\nAnswer: 0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2417407, 4834810, 7252213, 9669616, 12087019, 14504422?\n\"Answer: 2417403*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -12, -4, -27, -10 in descending order.\nAnswer: 20, -4, -10, -12, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 143887140 divided by -35971785?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 - -161. What is the closest to 0 in -1\/5, p, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.82 + 1.11. Let b = 1.71 + j. Which is bigger: -63 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70\/13 + 2*z**2 - 2\/13*z**3 - 94\/13*z.\nAnswer: -2*(z - 7)*(z - 5)*(z - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 19*q**4\/12 + 2*q**3 - 5*q + 6. Let b(d) = 7*d**2 + 4*d + 1. Let k(w) = 3*a(w) - 8*b(w). Determine k(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 8.72. Let q = -0.08 - y. Let x = 0.3 + -0.1. Which is the closest to q? (a) 0 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (4 + 3938\/(-12))*(6 + -13 + -23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022 a factor of 518154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*n + 83*n = 4*n + 4284 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*u - 622, 4*d - u + 674 + 526 = 0. Sort d, -1\/7, 2\/19, 0.5 in decreasing order.\nAnswer: 0.5, 2\/19, -1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3358128 divided by 1.\nAnswer: -3358128","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/3 - 1262*o**3\/3 - 2412784*o**2\/3 - 210808136*o + 2416755264 = 0. What is o?\nAnswer: -462, 11, 1544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - 140?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6665 - 2335. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.96\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1223 - 546. Let s = y - 973. Is 4 - -1 - s - -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20965024 (b) -2 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*i**3 - 38*i**3 - 56*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u + 10. Let w(v) = -27*v + 26. Calculate 11*c(b) - 4*w(b).\nAnswer: 9*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1056 and 88?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzz when three letters picked without replacement from {p: 5, z: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 2 (b) 1262 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2800351*z**4 + z + 124615?\nAnswer: -33604212*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, 1 s, and 1 r when four letters picked without replacement from {g: 3, s: 1, x: 3, p: 1, r: 1, m: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.25 to 1 decimal place.\nAnswer: 26.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2756 + 2809. What is the remainder when 237 is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 35 - 16 = 0. Suppose -d - s - 112 = 0, -b*d - 108 = -2*d - 3*s. What is the tens digit of (-1 - d\/9)*(-30)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.454571 and -325.\nAnswer: -324.545429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*l = -x + 162, -l + 312 = 2*x. Suppose 4*t - t = 4*i + 97, 3*t - 2*i - 107 = 0. What is the remainder when x is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000172429316 to seven decimal places.\nAnswer: 0.0001724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1905 and 1906 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 11. Let s = -0.3 + 0.1. Let y = -0.2 - s. Which is the nearest to y? (a) -0.4 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32482, 64976, 97484, 130006, 162542, 195092?\nAnswer: 227656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -24, 5, -3 in descending order.\nAnswer: 17, 5, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 129 in -0.3, -0.2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10653 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + -3. Let q = -14 - k. Suppose 3*u - 3*g = -q*g + 741, 494 = 2*u + 2*g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47188, 188689, 424520, 754681, 1179172?\n\"Answer: 47165*p**2 + 6*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpi when three letters picked without replacement from pcimiefc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589089519.\nAnswer: 3, 109, 677, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 207.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 341987\/124 or 2759?\nAnswer: 2759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*l**4 + 82*l - l**3 - 6 - 9*l**2 - 61*l**4 - 82*l as d*l**4 + k + c*l + o*l**3 + h*l**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 9.27\nAnswer: -9.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.55 take away 47.44235?\nAnswer: 55.10765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -9 - -13) + -5 + (6 - -5) + 20.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + 1*sqrt(190)*-1 + sqrt(190) + sqrt(190) + -4*-1*sqrt(190))*-5)\/(sqrt(40)*3 - sqrt(490)*-5).\nAnswer: -30*sqrt(19)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oossos. What is prob of sequence ssos?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-45)*(-10 + 725\/60)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3478 + 3478 - 4*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 37*h + 4. Let g(d) = -2*d**2 + 31*d - 3. Let i(x) = -7*g(x) - 6*q(x). Give i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/173, 4, 1, 0.1, -2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + b - 14 = 2*d, 30*d - 676*b = -1352*b + 677*b - 210 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*t + 31 = 0, -2*r = -6*t + 8*t - 6. Let g(c) = -1 + 2 - c + 3 + r*c - 3*c. What is g(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1185\/45 + 2\/(-6). Suppose l + o = 3*l. Suppose -l*y = -89 - 106. Solve -5 - y = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {d: 1, v: 10, q: 3, k: 1, i: 4}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s + 3. What is v(-7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73362273 + -73362284.00000025. Let z = 11 + o. Round z to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 4) in base 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgmnkkksmkgmq. Give prob of sequence smkn.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**3 + 5*o + 2. Determine u(2).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19268087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r - 4. Calculate n(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7849.7937us to weeks.\nAnswer: 0.00000001297915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*r - 55 = 54, -23*m - 16*m = -36*m + r + 94 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/12*(400\/15)\/10. Let p be (b - 3)*1*(-4 + -4). What is the highest common divisor of p and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = 2. Suppose x = -w + 3*g - 106, -2*w - 5*g - 84 - 106 = 0. Let s = w + 273. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 292942?\nAnswer: 6\/146471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007016629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33022441005 - -2?\nAnswer: -33022441003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.32109 rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 9*b - 6*b - 2*i, -2*b = -5*i - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3471 times -0.033?\nAnswer: 114.543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 - 18*j**2 + 8*j + 37. Let z(x) = 3*x**3 - 35*x**2 + 17*x + 76. Let a(q) = 5*h(q) - 3*z(q). What is the tens digit of a(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - 2)\/(3\/147) and 2\/(-5)*(-217)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 2 + 0 - -2. Suppose x - 4*b + v*b = 16, -2*b = -10. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 2*k + 1. Let r(i) = i**4 - 3*i**3 + 74*i**2 - 120*i + 66. Let p(x) = -5*r(x) - 30*v(x). Determine o so that p(o) = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:41 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + l - 65455. Let t be a(0). Let r be 55\/(-15)*(1 + t). Suppose -s = q + 2*q + r, 3*q + 4*s = -239992. Round q to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**4\/32 - 131*i**3\/12 + 777*i**2\/16 + 3548. Solve l(u) = 0 for u.\nAnswer: 0, 3, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - -26) + 1428 + -32 is divided by 352.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and 10.1?\nAnswer: 343.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-36)\/(x**(-7)*x) assuming x is positive.\nAnswer: x**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -33 + 3. Let g = d + -10. Let j(m) = -2*m + 6. Let v be j(-5). Solve -v = -g*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220\/30*(4 - 1) and -10*((-27)\/15 + 1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-28)*4\/(-10)*(-2847)\/(-2847)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 9860359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 166. Let k = x - -238. Let m be (-29)\/145 - (-92)\/10. Calculate the highest common factor of m and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -855377568*f**2*o**2 - 6*f**2*o - 18174573*f*o - 2*f wrt o.\nAnswer: -1710755136*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 3*a**2 - 3*a - 3. Let r(h) = 2*h**3 + 10*h**2 - 10*h - 10. Determine -6*r(i) + 20*t(i).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*746.8.\nAnswer: 4480.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 16. Let n be ((-6)\/f)\/((-3)\/4). Suppose -4*o + 0 = -3*q - 6, -19 = -5*o - n*q. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and ((-15)\/3)\/(6\/(-12))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24731196 by 2.\nAnswer: -12365598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5887 or 5885?\nAnswer: 5885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 11. Suppose 0 = 2*x - p*x. Suppose 102008 = -2*z - 4*l, 3*z + 4*l - 6*l + 152996 = x. What is z rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-5 + 1)) + 3 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 11 + 28 - 13 - 30*s - 17*s.\nAnswer: -47*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019553 rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + 1 - (28 + -21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -290 + 298. Let w = -8 - -13. Suppose -s + w*i + 32 = 5, 5*i + 17 = -4*s. What is the smallest common multiple of n and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 11*x**2 + x - 14. Let r be u(11). Let q(o) = 2*o + 3. Let d(y) = -2*y - 2. Let h(t) = 3*d(t) + 2*q(t). Determine h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16143 - -16278. Calculate the greatest common divisor of 405 and j.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/2)\/(6\/33). Let q(z) = l + 7 + 2*z**2 - 18. Let y(p) = 6*p**2. Give q(y(f)).\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**6\/30 - z**4\/6 - 64*z**2 + 55*z. Differentiate r(o) wrt o.\nAnswer: 4*o**3 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-12)*6*-5.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -775555, -1551059, -2326513, -3101917?\n\"Answer: 25*n**2 - 775579*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 16\/4 - 16\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*r - 1526 = -230*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400767?\nAnswer: 3, 19, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 23 = -2*z, z + 347593*d = 347592*d - 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7996, 31945, 71874, 127783?\nAnswer: 199672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 58 = 2*g + 47, 4*g = -o + 31. Solve 5*l = o*j, -4*l - j = -2*l + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**3\/6 - 6*u**2 - 22*u. Determine k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.089 + -52.111. Let a = 52 + f. Put 11, 2\/3, 3, a in descending order.\nAnswer: 11, 3, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 39*g - 21. What is i(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122310?\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81420.64l to millilitres.\nAnswer: 81420640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 883097 and 0.54.\nAnswer: 883097.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*-3*30\/(-108). Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6 - 2.3. Let s = -1.0258 - -0.0258. Let b(h) = -h**3 - 8*h**2 + 2. Let y be b(-8). What is the closest to y in 2, s, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 - (-10 - -23))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i + 102. Let b be z(10). Solve -b = -5*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/8, -1, -0.9, -29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3 - -3)\/1)\/(-1). Suppose s*w = 4*w - 236. Suppose -y + 17 = -k, 4*y - 5*k = -0*y + 70. What is the remainder when w is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.119775 millennia?\nAnswer: 911.9775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n. Let k = 10 + -16. Let f(y) = 20*y + 17. Let l(m) = -7*m - 6. Let p(b) = k*f(b) - 17*l(b). Determine z(p(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*f - 107*f - 335*f = -11280 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*-2)*6)\/((sqrt(240)\/sqrt(4))\/sqrt(10)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 + 12*a**2 - 483*a + 471. Give h(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5726 is divided by 636.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = -5*r + 4*a, 5*r - 16 = -4*a. Suppose 4*k - 8*k + 4 = r. What is the least common multiple of 4*-10*k\/(-4) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5, 1, -2684.285?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -644 + 641. Let w(c) be the first derivative of -c**2\/2 + 114. Determine w(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 + 188538*l**2\/5 + 452556*l + 6788664\/5.\nAnswer: -3*(l - 62858)*(l + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 1. Let q(l) = -19*l + 30. Let z(h) = -2*q(h) - 6*y(h). What is the first derivative of z(b) wrt b?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Suppose n*c - 5*v - 35 = -0*v, 0 = -v - 4. Suppose -5*i - 2*h + 0*h = -127, -c*i + 2*h = -73. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 145\/(-3) - 4\/(-12). Let n = -18 - k. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-4 + 1) - 0 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*n - 37*n + 3*p + 161, 3*p - 392 = -5*n. What is the remainder when n is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from ieaeaeaazzz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -57.806?\nAnswer: 231.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/1)\/(3\/(-15)). Let s be 6\/(-15) + (-12)\/v. Let i(h) = -151*h - 10718. Let q be i(-71). Solve -4*d = -s*w - 16, q*w + 1 + 3 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4*(-2)\/8)\/((-33)\/(-6)). Let k = 6 - 4. Let u = k + -2. What is the nearest to 0.2 in u, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78795 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -58 and 829 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 8*b**2 + 10*b - 7. Let a be i(9). Find y such that -403 + 40*y - 347 + y**2 + 650 + 4*y**a = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**4 + 79*m**3 - 225*m**2 - 1267*m - 968. Let a(g) = -22*g**4 + 238*g**3 - 674*g**2 - 3798*g - 2904. Let x(q) = -3*a(q) + 10*t(q). Factor x(u).\nAnswer: -4*(u - 11)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -275 + 283. Suppose 2*t + d + 18 - 6 = 0, -5*t - d - 27 = 0. Let a(k) = k**2 - 2*k - 5. Calculate the remainder when a(t) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/3 (b) -17 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1272805506 to the nearest integer?\nAnswer: 35676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1043.88*27.8\nAnswer: -29019.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(3*(-50)\/(-45) + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 + l. Let d be h(-1). Suppose -4 + 0 = -r + y, d = 5*y. Suppose 2*x = r*x - 66. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 8*k - 18. Let a be i(2). Solve a*c - 13*c - 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8624 from 0.\nAnswer: -8624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1595912)\/24 - (-15)\/(-9). Let z be 4 - (-2 - -4)*b. Round z to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -7*y**2 - 1216*y + 348 = 0?\nAnswer: -174, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**2 - 1. Let f be z(1). Let b(d) = -d - 8. Let m be b(f). Suppose m = -s + 19. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + 10. What is the remainder when k is divided by (-15)\/(-180) - (-3)\/(288\/1816)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*m - 85 = 0, -s - 4*s - 14*s + 17*s + m + 62 = 5*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:34 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 + -65. What is the remainder when 185 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 30*j**2 - 100*j + 92. Let w(m) = 3*m**3 + 120*m**2 - 399*m + 369. Let y(u) = 15*n(u) - 4*w(u). Factor y(h).\nAnswer: 3*(h - 4)**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - v**2 - v + 2. Let i be o(2). Suppose 196 = 4*b - i*q, 2*b + 2*q - 46 = 48. Suppose 0*h - b = -4*h. Solve 2*r = 6*r + h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/3 (b) -9 (c) 22 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20929 = -688*r - 19663 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253308 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/7 - 16*m + 1560\/7 = 0. Calculate m.\nAnswer: 26, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/387 and -3\/430.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/4 + 15*z**2\/2 - 21*z\/4 - 27\/2 = 0. What is z?\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000431492 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s = 134 + 27 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from jvyopjtvopoooojyj.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-4)\/6 - 176\/(-282)). Let p = d + 49. What is the remainder when 6 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: e6 (base 15) to base 12\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 t when three letters picked without replacement from {t: 3, n: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 0.33 (c) -2 (d) -4\/29 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t = -144. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8406 + -5681. List the prime factors of y.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 5*u + 2. Let x be c(-3). Let o(h) = -4*h - 1. Let p(v) = v - 3. Let s be p(0). Let z(d) = 5*d + 2. Calculate s*z(n) + x*o(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-299)\/(-6279) - (-125012)\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33731, -34573, -35425, -36293, -37183, -38101, -39053?\nAnswer: -40045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10425356743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23800968 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 5*t**3 + 0*t**3)*(-2 - 3 + 4).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/44)\/(64\/(-352)) + 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 4*d - 10. Let j be l(-6). Suppose 80 = 3*n + j*n. Suppose n = -g + 26. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2584*z + 7174 = -1379*z - 1304*z + 1630 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1995 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 3) + 9 + (-2 - -52 - 102)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 16. Let d(f) = -f**3 - 3*f**2 + 7*f + 6. List the prime factors of d(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(22386\/(-36)))\/(-3).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-56) + (-60)\/504?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4664194.\nAnswer: 2, 233, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28088552 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - u**3 + 20*u + 2*u**3 - 20*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2531205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*a - 1418 + 1282 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -1\/3 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(100)\/sqrt(4)*-5)\/((1*sqrt(20))\/sqrt(4)).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c = 75, 0 = 21*b - 31*b + 9*b + 5*c + 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 - -14 - (-12 - (-9 - 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 2\/13 (c) 0.246 (d) -11 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18927, 75677, 170251, 302655, 472895, 680977, 926907?\n\"Answer: z**3 + 18906*z**2 + 25*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-2.57\nAnswer: -1.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:00 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r - 1. Let d(y) = -46*y - 25 + 29*y - 22 - 21 + 69. Give 5*d(n) + 8*x(n).\nAnswer: 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 33 - 12 + 17*f + 33 - 17.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/2)\/(a\/(a\/(a\/(a*a*a**2)))*a)*(a*a\/a**(-8))\/a*a**2 assuming a is positive.\nAnswer: a**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1\/11, -0.2, -572, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*d**2 - 8151*d + 23994.\nAnswer: 3*(d - 3)*(17*d - 2666)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -40*l + 42. Let c(p) = -p + 11. Determine -4*c(v) + x(v).\nAnswer: -36*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 24*s + 5. Let p(i) = -5*i - 1. Let f(r) = -2*b(r) - 10*p(r). Let w(z) = 2*z - 1. Let x(j) = 5*j - 24. Let l(m) = 3*w(m) - x(m). Determine f(l(c)).\nAnswer: 2*c + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 319 - 324. Sort -3, 116, m in decreasing order.\nAnswer: 116, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*f - 67*f - 12*f to v + x*f and give x.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**3 + 271*z**2 + 271*z**2 + 3*z - 539*z**2 + (3*z + 3*z - 4*z)*(-z + z + 2*z**2) in the form v*z + j*z**3 + m*z**2 + p and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*n**4 - 26*n**3 + 7*n**2 + 8?\nAnswer: 216*n - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/294 and -40\/12201.\nAnswer: 24402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = o - 6*u, u = 2*o - 2*u + 4 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5741 + -5746. Let v(i) = -2*i**2 - 10 + 3*i**2 - 10*i - 21. What is the units digit of v(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Is (0 - (x - 3))*8 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2185 + -3182. Let o = d + 1997\/2. Factor 0 + 3\/2*p**3 - 3\/2*p**2 - 3\/2*p + o*p**4.\nAnswer: 3*p*(p - 1)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.4 + -3.9. Let i = x + -8. Which is the second smallest value? (a) 4 (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5556 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00515041 rounded to 4 dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/3? (a) -1506933 (b) -2\/17 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -349, -523?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 151*c**2 + 16. Let r(z) = 263*z. Calculate b(r(o)).\nAnswer: 10444519*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**3 - 11*n**2 - 7*n + 23. Let x(b) = -4*b**3 - 6*b**2 - 4*b + 12. Determine -6*m(t) + 11*x(t).\nAnswer: -2*t**3 - 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 2*t - 13)*(-6*t**2 - 9*t**2 + 6*t**2) + t**3 + 2*t**3 - t**3 to the form h*t**2 + i*t + w*t**3 + x and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from rrvvvvvvvvr?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32*7\/(-5320))\/(8\/12*36\/(-12))?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759944 is divided by 16520.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*r**2 - 6*r**4 + 8*r**4 + 0*r**4 + 5*r - 15*r**2 - 2*r**3 to m*r**4 + u + d*r**3 + l*r + x*r**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a gram in milligrams?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/17))**(9\/13)*(g**(-4)*g)\/(g\/g**(-1\/10)) assuming g is positive.\nAnswer: g**(-9241\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 1. Let h be w(-1). Suppose 70 = m + 5*g, -3*m + 3*g = h*m - 238. Suppose 14 = -3*j + m. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.40343394 rounded to 3 dps?\nAnswer: 11.403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 29. Suppose -q*k = -9*k. Which is smaller: k or 2\/55?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - 2*z**2 + z - 1. Calculate the remainder when l(-2) is divided by (3 + 0)*(-2)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 6) to base 12\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1679023\/404 - -4156. Let o = 7067\/1212 + d. What is the common denominator of -56\/5 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 834.841319 to two dps.\nAnswer: 834.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 160*g**2 + 163*g**2 - 642*g**2 + 163*g**2 + 159*g**2. Let a(w) = 12*w - 8*w - w + 6*w. Give a(n(b)).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 66 + 21 + 22 - n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2973611 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/9)\/g)\/(g\/g**(1\/4))*((g\/(g*g**(-2\/7)*g))\/g)**25 assuming g is positive.\nAnswer: g**(-11129\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 0*p + 2*p)*(-39 + 25*p + 39)*(1 - 2*p - 1) as t + r*p**3 + i*p + g*p**2 and give r.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-2946)\/(-9) + 16\/(-24). What is the units digit of 10\/(f\/(-1050) + (-20)\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2623 and 3477?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118812464\/13 + -14049844007\/1534. Let w = n - -19539. What is the common denominator of w and -3\/7?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24708351 - 24708351 + 7*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 - 7*u. Let g be w(-6). Let d = 114 + g. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 104*u + 15. Let w(i) = 105*i + 12. Calculate -5*r(a) + 6*w(a).\nAnswer: 110*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5345371, 5345258, 5345145, 5345032, 5344919, 5344806?\n\"Answer: -113*l + 5345484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 - (12 + 8) - -52?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/2)*z**(1\/7)*(z*((z\/(z**1\/z))\/z)\/z)**(-34))**(2\/57) assuming z is positive.\nAnswer: z**(-11\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -25. Let j(z) be the third derivative of z**5\/60 + z**4\/6 + 10*z**2. What is the smallest common multiple of v and j(-8)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = t + 30, 4*g = -9*t + 13*t + 40. Solve -1 = -l + g*m + 8, 4*l - 18 = 2*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -46*g + 0*g**2 + 52*g - g**2. Let i be a(5). Is 1*18 + (3 - i) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 631852 or 631806?\nAnswer: 631806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15859 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2 + 6*s - 5. Let r = -41 + 40. Let l(j) = j**2 - j + 1. What is r*g(m) - 5*l(m)?\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y - 12 = -36*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 6:38 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*4 + sqrt(11) - (sqrt(11) + 0 + -2 + sqrt(11)))**2.\nAnswer: 172*sqrt(11) + 20343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-25))\/(12\/30). Let m be k - ((-1820)\/890)\/(-2). What is the second biggest value in m, 4, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 7 - 10*x - x + 0*x**2. Suppose 12*p = 10*p + 22. Calculate the least common multiple of b(p) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*x - 34. Let y(t) be the first derivative of -1\/3*t**3 - x + t + 1\/2*t**2 - 1\/4*t**4. What is y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 218 - 3?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x**2 - 57*x**2 - 7*x**2)*(21*x**2 + 12*x**2 - 6*x**2).\nAnswer: -1350*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2\/9, 4, 0.0011, 325 in increasing order.\nAnswer: -2\/9, 0.0011, 4, 12, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80367556037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*x + 32*x + 43*x - 73*x**3 + 0*x**2 + 19*x**2.\nAnswer: -73*x**3 + 19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from jcsjzcdjjjsjjpcjz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80963 - 2646422 = -140*j + 151101. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 31. Sort 5, 18, u.\nAnswer: u, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -831447489, -831447490, -831447491, -831447492, -831447493?\n\"Answer: -a - 831447488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Let h(w) = -8*w - 1. Let j be h(-8). Let x be 3\/2*12\/j. Which is the closest to p? (a) x (b) 1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i\/i**(-22)*i)*(i**(3\/19)\/i)\/i)**(-9\/7))**44)**(-3) assuming i is positive.\nAnswer: i**(-583308\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, u: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8430, -20713, -32996, -45279?\n\"Answer: -12283*s + 3853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 17. Suppose x = c - 4 - 26. Calculate the remainder when 59 is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 p, and 1 k when three letters picked without replacement from kvvpvnvppaanppnv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 12. Suppose 0 = 6*z + 75 - 27. Calculate the smallest common multiple of a(z) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 297 = -5*p, -6*h + 11*h + 234 = 4*p. Calculate the remainder when 132 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -26*k - 36. Let u be i(-4). Suppose u = 21*g - 4*g. Which is the smallest value? (a) 0.5 (b) g (c) -0.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11236057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89856 divided by -1404?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 605, 2471, 5589, 9959, 15581, 22455?\n\"Answer: 626*z**2 - 12*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 785981234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.9555g in milligrams?\nAnswer: 364955.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-828)\/(-7) + -1 + -2. Let d = h - 115. Is -2\/15 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 103. Suppose 4*k + 5*r - 17 = 0, -4*k - l*r + 5 = -3*k. What is the smallest common multiple of 30 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261822 is divided by 3685.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + l - 6. Let o(m) = -m**2 + 1. Let j(p) = -5*o(p) - q(p). What are the prime factors of j(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 3 - 3 = 0. Let l(d) = 8 - 8*d + 11 - 7 + o. Does 6 divide l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**3 - 3*a**2 + 2. Let y(o) be the first derivative of -o**4\/4 - o**3\/3 + o + 4. Let m be ((-2)\/9)\/((-8)\/72). What is m*y(w) - r(w)?\nAnswer: w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4037944 and 6288?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6589309 divided by -6.\nAnswer: 6589309\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b**5\/17 - 1202*b**4\/17 - 7766*b**3\/17 - 15620*b**2\/17 - 3584*b\/17 + 1216\/17 = 0. What is b?\nAnswer: -19, -4, -1\/2, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-12) + (-620)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s + 7. Let a(o) = 3*o - 3. Suppose -1 + 43 = -6*n. What is n*a(u) - 3*h(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 252*w**3 + 3348*w**2 + 5712*w.\nAnswer: 3*w*(w + 2)*(w + 14)*(w + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 13006*c**2\/13 - 273120*c\/13 - 126\/13 = 0.\nAnswer: -3\/6503, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 2. Let g be 8 - 54\/9 - (-12)\/(-2). Let u(p) = p + 7. Let n be u(-6). Let x(y) = 0 + 0 - n. Give g*x(a) + 2*z(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = y. Suppose -6*j + 11 = -5*j. Calculate the remainder when 184\/y - 6\/(-18) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (0 + 7)) + (-641 - -558).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 115 - 1 - 2*h in the form v*h + q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -79*n**2 + 9*n + 25. Give d(-2).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1444 - 726 = 14*i. Let c = 1083\/7 + i. Are c and -189 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 10) to base 5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 810747451 to the nearest integer?\nAnswer: 28474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v - 12 = 0. Suppose 6 = -4*l + 6*l. Let f be 6\/(-26)*2\/l. Sort v, -4, f.\nAnswer: -4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:58 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5))**(11\/3) assuming t is positive.\nAnswer: t**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3}. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8770839 millilitres in litres?\nAnswer: 0.0008770839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/5, -3, 138 in increasing order.\nAnswer: -3, -1\/5, -0.1, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 796798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 2*n + 75 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/83 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**3 + 6*k. Let d(l) = -l**3 + l. Let x(m) = -2*m + 2*m - m + 2*m - 1. Let i be x(2). Give i*j(t) - 6*d(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*p**2 - 46*p**2 - 58*p**2)*(-3 + 6 - 4) + 3 + 2*p**2 - 3)*(10 + 16*p**2 - 18*p**2 + 8).\nAnswer: -200*p**4 + 1800*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066 rounded to the nearest ten?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-1020)*-10)\/(-4 + (185\/(-20) - -4)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + s**2 + s**2 + 50459*s**3 - 2*s - 50688*s**3 to l + g*s**2 + p*s**3 + b*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -76585\/899 and -86 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 1, 0.2, -4, 3, -307984 in decreasing order.\nAnswer: 3, 1, 0.2, -4, -26, -307984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**2 + 11*x - 11. Let q(v) = -2*v**2 + 4*v - 4. Let l(r) = -4*b(r) + 11*q(r). Let j = 286 - 106. Let w(i) = -j + 180 + i. Determine l(w(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56705 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:18 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16a67 (base 11) in base 14?\nAnswer: 89dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 11*y**2 - 15*y + 3. Let a(b) = -16*b**2 + 3*b - 4 + 4*b - 2*b**3 + 15*b. Let g(n) = -5*a(n) - 8*j(n). What is u in g(u) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 36.206669.\nAnswer: 36.206669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*k**3 + 6 - k**4 - 12*k**3 wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqjb when four letters picked without replacement from {q: 2, p: 4, v: 3, b: 2, j: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71776451 is divided by 623.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87085*r*x**4 + 5*r*x - 5877*r wrt x.\nAnswer: 1045020*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 13*p + 22. Suppose 0 = -3*m + m + 3*c + 28, 3*m - 2*c = 37. Let q be h(m). Solve 0*d - d - j - 9 = q, -41 = 4*d + 5*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 227 and 6.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 96 = -4*f. Let y = -8 - f. Calculate the greatest common divisor of 48 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 101*w + 98*w + 38927 = 0, -t = 2*w - 9733. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 24, 0 in descending order.\nAnswer: 24, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -31) + -40 + -1 + 89?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 6)*(105*b - 66*b - 73*b) to z + n*b and give n.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -8 - 10 - -4. Let r be ((-594)\/(-21))\/(w\/1960). What is r rounded to the nearest 100?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5\/6 + 5*n**4\/3 - 5*n**2\/3 - 5*n\/6.\nAnswer: 5*n*(n - 1)*(n + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h**2. Suppose 0 = -5*w + i - 34, -i = 3*w - 4*i + 30. Let j(n) = -2*n**2. Calculate w*y(a) + 17*j(a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**2. Let i(r) = -r - 5. Suppose -d + 4*p = -2*d + 26, -4*d + 19 = -p. Let h(x) = 0 + 5 + d - 12. Let w(c) = 5*h(c) - i(c). What is f(w(l))?\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3036 and 357972.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*b - 71*b - 30*b - 56*b + 14*b in the form t + u*b and give u.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/96 + 4\/(4 - 2)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/7, -518, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416439396 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 4*y**2 - 6*y + 2. Suppose -d = 2*d. Suppose 6*h - 2*h + 20 = d. Calculate b(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 2*u + 7975 - 7967, 2*u - 4*o = -2 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77724 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2461064 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - n + 8, 0 = 4*m + 2*n + 3*n - 8. Let u(x) = 5*x**2 - 2*x**2 - 22*x + 10*x + 9*x. Give u(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 14*i + 18. Let l be 222\/i*-100*750. What is l rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 848159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43205911 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5775 + 5784. Suppose j + 8 = 2*j. Solve j*m - 2 = u*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.33? (a) 2 (b) -1463 (c) -1 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11048977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 284, 688, 1258, 2000?\nAnswer: 2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1330)\/(-399)*29\/15\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -709, -1416, -2135, -2872, -3633?\n\"Answer: -p**3 - 700*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -232321.\nAnswer: 3\/232321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 5:19 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*w - 15. Suppose -24 = -w*d + 1. Let n = d + 15. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 8) to base 4\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/12)\/((-2242)\/(-2238) + -1). Let f = 603 + n. Does 46 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 551 and 1255961.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g + 1. Let z(x) = 6*x**2 + 6*x + 2. Suppose 9 = -5*p + 14*p. What is p*z(w) - 4*n(w)?\nAnswer: 2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7360)\/(-640) + (-2)\/(-4). Solve 28*f = -p + 180 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((16\/(-40))\/((-4)\/15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90858 is divided by 22084.\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, w: 6}. Give prob of picking 1 w and 3 e.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/19 in 2\/5, -0.5, -2\/3, -4, -15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 5*d**2 + 98*d - 60. What is the remainder when u(-14) is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**10\/136080 + c**9\/13608 + 25*c**4\/6 - 11*c + 2. Let b(n) be the third derivative of t(n). Factor b(f).\nAnswer: 2*f**4*(f + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = 4*i - 6*x - 6, 3*i + 4*x - 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238635*d - 238526*d - 8272 = -1732 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 165*o + 41 + 32 - 145*o + 37.\nAnswer: 20*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 945\/(-70) + (-247)\/(-38)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 9970942.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -1. Let k be 1\/10*(-5020)\/(-8). Let f = 63 - k. What is the closest to a in f, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0*h - 3 + h)*(11*h - 11*h + 2 + 2*h**3) in the form i*h**2 + b*h**4 + m*h**3 + w*h + t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 4*x**3 + 0*x - 10 + 5*x**3 + 7*x**2 + 5*x**2. Let q be y(-12). Solve 3*k = b - 4, 5*b + 5*k - q*k = -34 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660, -52, -1242, -2916, -5080, -7740, -10902?\nAnswer: -14572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 12. Let u(n) = -3. Let x(k) = -3*b(k) - 12*u(k). Let w(d) be the second derivative of d**4\/4 - 2*d. Determine x(w(f)).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.59 - -44.49. Let c = b - 44. Let t = -3.9 + c. What is the smallest value in 2, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/11)*q\/(q**(-6\/11)\/q*q) assuming q is positive.\nAnswer: q**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -2079\/655388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or -21\/265?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 4*f - f + 3)*(0*f**3 + f**3 - 3*f**3) + (2*f**2 - 2*f**2 - 4*f**2)*(-2*f - 3*f**2 + 2*f) as u*f**4 + m*f**2 + s*f + v*f**3 + y and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -0.8. Let i = -7 + 10. Put 4\/5, v, i in descending order.\nAnswer: i, 4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(((-70)\/4)\/7 + 3). Which is the fourth smallest value? (a) -2\/5 (b) -1 (c) p (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (32 - 0)*-4*9\/(-12) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 k, and 1 i when four letters picked without replacement from {u: 1, j: 1, i: 4, b: 4, k: 2, g: 2}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 32*s**2 - 1. Let u be q(-3). Suppose -5*w + u = 2*w. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(16 + 13 - 19)*(-4*h + 4*h - h).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f - 1. Calculate y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 6035.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k + 42. Let f be u(-2). Suppose -f = -10*v - 412. Is 4\/7 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 28*x**2 - 23*x + 2. List the prime factors of w(5).\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 331*v**4 + 51*v**2\/2 + 782. Find the second derivative of k(l) wrt l.\nAnswer: 7944*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -921613\/53748 + 12\/1493. Let x = z + 215\/9. Let s = 359\/52 - x. Is s less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1455*q**3 - 658*q**3 - 275*q**3.\nAnswer: -2388*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1785, -7902, -18097, -32370, -50721, -73150, -99657?\n\"Answer: -2039*i**2 + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 914a - 0?\nAnswer: 914a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1932201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2832808 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*z + 2*z - 33, 5*s + z = 55. Suppose 0 = -0*f + f - s. Let a = -23 + 34. Calculate the greatest common factor of a and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/15)\/(1\/6). Let y be c\/5 + 2860\/25. Suppose -38 = -0*g + 2*g + 3*o, -5*g = -2*o + y. Are -22 and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32438 - 2914. Let f = -56154 + m. What is f rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 52 + 102. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*h - 96 = 192 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 - 2034*o**4 + 487641*o**3 + 385761372*o**2 + 770051700*o + 384780000 = 0. Calculate o.\nAnswer: -550, -1, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3266 + 1174?\nAnswer: 4440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s - 67. Let c = 88 + -78. Let u be w(c). Suppose -4*r + 4*g - 72380 = 0, 18075 = -r + u*g + 2*g. Round r to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 15*s**2 - 8*s - 2. Let h(p) = p**2 - 2*p - 1. Let y(o) = -2*h(o) + z(o). Let k(i) = -3*i**2 + i. Calculate 9*k(q) + 2*y(q).\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-6)*135\/30. Calculate the highest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454807 is divided by 302.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**2 + 1 - 7 + 12*d**2 + 5 as m*d**2 + h + i*d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599067 = 9*j - 2734587. What is j rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 8 + 25*v**2 - v**2.\nAnswer: 24*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - p**2 - 2*p - 1. Let a(x) = -8*x**3 - 2*x**2 - 9*x + 359. What is -a(f) + 5*g(f)?\nAnswer: -2*f**3 - 3*f**2 - f - 364","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 + 14*p + 6. Let l be t(5). Let u be (2 - (24464 + l))\/(-1). Let z = -16163 + u. Round z to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75207 and 13717?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 q when three letters picked without replacement from {i: 1, o: 1, q: 2, g: 12, z: 1}.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 272.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g*g**7\/g)*g)\/g)*g)\/g**2)**(-2\/97) assuming g is positive.\nAnswer: g**(-12\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k + 71 = -83 - 34 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25967\/28 + -6490\/7. Factor w*s**3 - 1\/4*s**4 + 1\/2 + 3\/4*s**2 - 5\/4*s.\nAnswer: -(s - 1)**3*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -4)\/((-3)\/(-2)). Let l be (2\/22)\/(1\/n). Let d = 0.4 + -0.9. Put l, d, 0.4 in decreasing order.\nAnswer: 0.4, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9549.254 decades?\nAnswer: 95492.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x**4 + 8*x**2 + 521*x + 34588 wrt x.\nAnswer: -8*x**3 + 16*x + 521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*1*-5 - (5 + (sqrt(363)*1 - sqrt(363)))) + (2*sqrt(363)*-1*-4 + -1)**2.\nAnswer: -231*sqrt(3) + 23228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.3 (b) -1.4 (c) -2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1650*z + 1. Let i(q) = q - 16. Determine i(y(f)).\nAnswer: 1650*f - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -176464577, -352929155, -529393733, -705858311, -882322889?\n\"Answer: -176464578*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - h = -11, -6 - 9 = 5*c - 5*h. Suppose -5*p + c = -5*q - 2*p, 4*q - 2*p = 0. Sort q, -1, 1.\nAnswer: -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*g - 58. Calculate the smallest common multiple of g and 93.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17862 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -12*b**4 - 60403112*b**3 - 161074908*b**2 - 140940528*b - 40268720 = 0?\nAnswer: -5033590, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + (-2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5. Suppose -2*a + 5*s + o = 0, -2*a - 2*a - 63 = 3*s. Let v = -8 - a. Solve -x - v = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/36*-3*(-27)\/24?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139036380 divided by -34759095.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*w + 104*w - 54 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010221 (base 3) to base 7.\nAnswer: -4363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -q + 25. Let s = -7 + q. Let j(a) = 3*a**2 - 3*a + 6. Let n be j(s). Round n to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7215 is divided by 2476?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and -0.154.\nAnswer: -8.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) - (-9)\/15. Let g be (-6 + k)*(-2)\/(-5). Let m be ((-6)\/4)\/(1*3\/(-14)). Which is bigger: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**4 + 2 - 3*z + 0*z - 7*z**4 + 5*z + 10*z**2 to o*z + n*z**4 + t*z**2 + i*z**3 + r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-655)\/(-4) - (-7)\/(84\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 + 2*w**4 - 5*w**4 - 4*w**4 + 2*w**4 + w**4 + (-2 + 2 + w**4)*(0 - 2 + 0) + (2*w + w**2 - 2*w)*(w**2 - 1 + 1) - 159 + 159 + 153*w**4.\nAnswer: 152*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 137 - (-91 - (-81 - 42))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/678600 and 11\/312?\nAnswer: 678600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = i + 3*i - 22, 0 = -5*i + 2*w + 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1183009 = -o, 0 = -2*a - 0*a + 6. What is o rounded to the nearest 10000?\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 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: Collect the terms in -211*p**2 - 66*p**2 + 182*p**2 - 648*p**2.\nAnswer: -743*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -4. Put -5, 2, c, 5 in ascending order.\nAnswer: -5, c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 5, o: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -95*n**2 + 347*n - 147. What is w(4)?\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51979 is divided by 1574?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*u - 16 = 0, u - 4 = -3*l + 2*u. Suppose -4*w = b - 77, -5*w + 3 = -b - 100. Solve l*z + w = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3 + 2 = 0. Let s be (9\/24)\/(2\/(-280)). Let x = 51 + s. Sort x, a, -1\/8 in decreasing order.\nAnswer: a, -1\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/10 + (-48)\/(-160).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 39240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhz when three letters picked without replacement from unynhjzyz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - w + 5*w = -4, 0 = -2*q - 3*w - 6. Let a be 23285\/3 - (-4)\/q. Suppose 12002 = 2*r + k, a + 16235 = 4*r - 2*k. Round r to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*2 - sqrt(88))\/((sqrt(14)*-3)\/sqrt(7)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i - 4*f + 30 = 0, 0 = -i - 2*f - 7. Let g = -183 - -181. Let u(l) = -4*l**2 + 2. Let z(d) = 19*d**2 - 11. Give g*z(x) + i*u(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5, -1.28, 0 in ascending order.\nAnswer: -1.28, -1\/4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 178 or -6?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -430, -1709, -4262, -8515, -14894, -23825?\n\"Answer: -71*v**3 + 2*v**2 + 60*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t. Let j be v(3). Let n = -6 + j. Suppose 0 = -n*w + 6. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-10))\/(174*(-315)\/822150)?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13661 - -52599. Let r be (c - 5)\/((-20)\/(-2)). Let w = -3902 + r. Calculate the common denominator of 54\/5 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**3*l - 2*f**3*v + 1057*f**3 + 186*f**2*l*v + f*l*v + 2*f wrt v?\nAnswer: -2*f**3 + 186*f**2*l + f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11242 by -3.\nAnswer: -11242\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 2130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17440448423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 186?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 136*g**2 + 71*g - 8662. Give o(-135).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -16*s**2 - 9*s + 3. Let c(h) = 8*h**2 + 4*h - 1. Let l(j) = -9*c(j) - 4*z(j). What is the derivative of l(d) wrt d?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1340471, 1340458, 1340421, 1340348, 1340227?\n\"Answer: -2*l**3 + l + 1340472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3649\/5 - -730. What is the nearest to 1 in 2\/7, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37363 - 4?\nAnswer: 3735a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 + 8\/(-28). Suppose x*c + c + a = -2, -2*c - 7 = 3*a. Let o be (c - 0)*(-4 - -2). Which is smaller: -2\/11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, f: 2, c: 5, g: 9}. What is prob of sequence chgc?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8584 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2. Let g(z) = -z - 2. Let u(m) = 6*m + 6. Let j(y) = -12*g(y) - 4*u(y). What is j(c(w))?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**6*n**2 + 1053*g**6*n + 202*g**2*n**2 - 2*g**2 - 53*g wrt g?\nAnswer: -960*g**3*n**2 + 126360*g**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151.29 - 1328617.7.\nAnswer: -1328466.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/14*252\/72*(-1020)\/75*-1\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 2*l - 3*l - 3*l - 2*l + 6*l + (2 - 2 + 2*l)*(3 - 7 + 2) + 3*l - l - 3*l - 1 + 2*l + 1 + l - 2*l - 949013 + 950110.\nAnswer: -4*l + 1097","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 17*z + 13*z = -12, -4*z = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 2*z - 207, 2*v - z + 414 = 0. Let d = v - -359. Calculate the greatest common divisor of 38 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 2 - 14*n + 23)*(115 + 44 - 42).\nAnswer: -1638*n + 468","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1 - -3)*-2. Suppose -f*i = -6*i. Suppose i = -2*j - 0*j + 14. Calculate the remainder when 19 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 14 = -21*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.33 in 2, 0.5, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b = -45*b - 789. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005777 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15073915 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -6. Let h = 6 + r. Solve -4*i + 3*d + 17 = 0, -h*i + 3*i + 5*d = 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2662 and 291841715.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/17)\/p*p**(1\/42) assuming p is positive.\nAnswer: p**(-823\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and 0.013207.\nAnswer: -6.986793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-400)\/22 - (-2)\/11. Is (-976)\/i + 2\/(-9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**5*r)))\/r*r\/(r*r**(-2)*r))**(24\/5) assuming r is positive.\nAnswer: r**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = 3*m - 4*r + 35, -4*m - 3*r = 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -83. Let t be x*(-10)\/(-50)*(-1 + 6). Solve 4*u + 1 = t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 - 6 + 0*m**4 + m**2 + 3 + m**3 to the form u*m**3 + q + i*m + x*m**4 + f*m**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226134973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(6 - 2 - 2). What is the highest common factor of o and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8806 = -491*g - 27*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4170 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 2 + (-120 - -119 - (-7 + 0))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53\/3? (a) -2 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -560, -924, -1274, -1604, -1908, -2180?\n\"Answer: y**3 + y**2 - 374*y - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 1. Let r(w) = 3*w**2 + 6. Suppose 0 = -5*c - 30, -3*u + 715*c - 719*c = 30. Suppose -3*q - 10 = -2*q. Calculate q*x(v) + u*r(v).\nAnswer: 4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 4*q - 3. Let y be v(-4). Let d(b) = b**2 + 2*b. Let k(o) = 13541 - 5*o - 13541 - 2*o**2 + 3*o. Calculate y*d(l) - 2*k(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -667.003462 - -667. Round k to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 41*v**2 - 38*v + 168. Let f be j(-42). Is f <= -1\/524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1b64 (base 13) to base 6.\nAnswer: -10113232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 657010.7 litres in millilitres?\nAnswer: 657010700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 37*u**2 + 113*u - 13. Determine v(-5).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.67 (b) 12 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide -3 + (37 - (4 + -8))*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 792 and 248760.\nAnswer: 2736360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307194\/11 - -1334293\/66. Let u = p - -7687. Find the common denominator of u and 29\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60914*48\nAnswer: 2923872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 5 + -3 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/(-95) + 24\/135. Suppose 3*i = -2*i. Which is greater: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -32800?\nAnswer: -327fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/3 + 264\/18. What is the greatest common factor of v and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 306*x + 300 = 311*x - 615*x, -6*y + 2*x = -338 for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 5*i - 3*i)*(-2*i**3 + 3*i - 3*i) + 3*i**4 + 0*i**4 + 0*i**4 - 2*i**4 + 0*i**3 + 0*i**3.\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 487552, 487531, 487498, 487447, 487372, 487267, 487126, 486943?\n\"Answer: -v**3 - 14*v + 487567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3503*n + 5*n - 193*n + 126*n - 742*n.\nAnswer: -4307*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:01 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -8*h + 56. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 16. Let t = v - 4. Suppose t = 4*q - 9 - 39. 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: Put -4, 5, -124, 1 in increasing order.\nAnswer: -124, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2784*r + 142. Is 26 a factor of y(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -4*c + j, -3*c = -c + 2*j - 46. Solve -c = 8*d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32289 + -32222. Solve 130 = i*c - 406 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 1 + 3 - w**4 - 2*w**3 - 8 to the form l*w**2 + h*w**4 + b + f*w + r*w**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (sqrt(44)\/(-6*sqrt(16)\/sqrt(4)) - (6*sqrt(55)\/sqrt(5) + 3))))**2.\nAnswer: 37*sqrt(11)\/3 + 15095\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 - q + 6. Let m be p(-8). Let n(w) = -6*w - 2. What is the remainder when 6\/(-21) + m\/14 is divided by n(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(7\/4)\/t)\/((t\/(t*(t*t**(2\/11)*t)\/t*t)*t)\/t))\/(t**5\/(t\/t**(8\/5))) assuming t is positive.\nAnswer: t**(-587\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -376*d*f**3 + 4*d*f + 36*f**3 - 2*f - 6 wrt d.\nAnswer: -376*f**3 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1293 - 1300. Sort 12, -1, t in descending order.\nAnswer: 12, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 76\/(-342)*180\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + sqrt(5) + 2)**2 + 5 - (sqrt(2205)*-2)\/sqrt(9).\nAnswer: 34 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 14*a**3\/13 + 26450*a**2\/13 - 1238584*a\/13 - 356040\/13 = 0.\nAnswer: -1935, -2\/7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 15. Suppose -3*g = -0*w - 5*w - 75, 4*g = -7*w - 64. What is q(w)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 9:02 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -20*l + 17. Let a(d) = 2*d**3 - 10*d**2 - 10. Let j be a(5). Does 5 divide c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61.5 and 0.5.\nAnswer: 30.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -12, -j = -s + 51 + 45. Does 28 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1345225.3 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 2:36 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 4*v. Let x be y(5). Let q(i) = i + 1. Let m be (1*-1)\/((-10)\/20). Let j(a) = 1 + 0 + a + 2 - m. Determine x*q(w) + 4*j(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 + 207*o**2 - 2917*o + 3. Calculate a(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60386710.\nAnswer: 2, 5, 6038671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 2:31 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**1\/x)\/x))**(2\/75)*(x**(-10)*x)\/x**14)**(-38) assuming x is positive.\nAnswer: x**(65398\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6390*t + 3 - 3 - 1.\nAnswer: 6390*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 1\/15*p**3 - 1\/24*p**4 - 17*p**2 + 0 + 0*p - 1\/600*p**6 + 1\/75*p**5. Let l(z) = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**3 - 23*b**2 + 21*b + 33. Calculate g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 75*c**2 - 90*c + 180. Let b(u) = u**2 - u + 2. Let z(r) = -90*b(r) + v(r). Let p(i) = 7*i**2. Calculate z(p(a)).\nAnswer: -735*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(39))\/sqrt(3).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-51)*9\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -43, -102, -187, -298?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 10. Let x be r(14). Suppose 180 = -x*h + 2*d, 5*d + 114 = -h - h. Let t = 132 + h. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3800?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25432501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0. Let v = 0.60077 + p. Round v to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -8\/3 (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50838?\nAnswer: 2, 3, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**4\/4 + 5*f**3\/3 - 9*f**2\/2 - 8*f + 138. Determine j(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2.3 (b) -2731 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*s - 73984 = 46409. Calculate the highest common divisor of s and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -838 + 2064. Suppose 5*v = 899 + c. Round v to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 + (-8)\/(-3). Suppose 4*m = g*l - 19 + 7, 5*l - 38 = 2*m. Calculate the least common multiple of 23 and l.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 0*k + 1262*x + 7552 = -9*k, -4*k = x - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 118 + -110 + (2 - 7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391807 is divided by 635?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -49*f + 126. Let m be j(2). Let n(o) = o**2 - 33*o + 11. Let c(a) = -2*a**2 + 66*a - 22. Let s(b) = 3*c(b) + 5*n(b). Is s(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.7318 weeks in milliseconds?\nAnswer: 51850592640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 1, 3.2, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -139. Suppose o = 4*t + 25. Calculate the remainder when 7 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*i + 11713 = 84*i - 36459. What are the prime factors of i?\nAnswer: 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271480562.\nAnswer: 2, 135740281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 137887?\nAnswer: 965209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -18, -32, -48, -66, -86?\n\"Answer: -y**2 - 9*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-1)\/12*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18623 is divided by 520.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -548.94 - -541. Let q = -8 - s. What is the third smallest value in 6, -2, q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/3, 17.785, -3, 82 in descending order.\nAnswer: 82, 17.785, 2\/5, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 19 = v, 2*v + 78 = -4*c + 76 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 11\/10 (c) -188 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 74 = 5*m, m - 3*p - 31 = 2*p. Suppose 0 = m*x - 17*x - 30. What is the units digit of (20\/1)\/((-5)\/(x\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 4. Let y be d\/(-12) - 1 - -2. Suppose 0 = -o + 3*u + 17, -o + u - 5 + 12 = 0. Which is the third biggest value? (a) -23 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:27 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 3*k - 8, 4*l = 4*k - 12. Suppose -11 - l = -3*x, 5*v - 4*x - 4759 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-38)\/(-76))\/((-4410219)\/(-4950237) + -1). Let l = -608488 + 18255248486\/30001. Let z = l - y. Find the common denominator of -17\/9 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122002021120 - 10?\nAnswer: 122002021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063548122242 plus -4?\nAnswer: -4.063548122242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/26261 - -2078789\/36502790. Calculate the common denominator of -7\/6255 and i.\nAnswer: 12510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/69 and -26\/1357?\nAnswer: 4071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -913600 to the nearest 10000.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p**2 - 688*p + 694. Give z(-87).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 6. Let o be (-38)\/8 + 2\/(-8). Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 3*y**2 - 3*y + 3. Let a be h(-4). Let z = 7 - a. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 12*h**2 + 10*h + 56. Let v be i(-6). Which is the third biggest value? (a) 4 (b) 19 (c) 0.3 (d) v (e) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4 + (5 - 3 + 0)*(3 + 1 - 5) + 2 - 1 - 3 - 2 - 2 + 2)*(9 - 11 + 7*f**3 - 18*f**3).\nAnswer: 55*f**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9059201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1922 - -1900 - (-4 + 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21684 - -36454. Is 35 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 12 + -16 + -20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630*s + 142649 = -617*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*z**2 - 87443535 + 87443535.\nAnswer: -159*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 7. Calculate j(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3))**(-10\/7)*s**(-5\/3)\/s*s**(2\/17))\/(((s*s**(2\/9))\/s)**14\/((s*s**1)\/(s\/(s**(3\/10)\/s)))) assuming s is positive.\nAnswer: s**(-47207\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-33)*9\/4. Suppose -2*o = -65 + k. Suppose -o*x = -28*x - 33. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.7 (c) 53.8 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28\/35 + (-76796)\/(-2630)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8.5 times 8\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 11 = o, -2*o - 2*o + 7*w - 4*w = 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n = 5*n - 245 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/9)\/(5\/105). Let l(g) = -134*g - 8 + 0 + y + 3. Let x(m) = m. Give l(x(q)).\nAnswer: -134*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*v + 65 = -4*p, 37 = 2*p + 3*v. Solve -p - 3 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 104*c**2 + 23723*c + 2504. Calculate y(-228).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 942\/17*s + 2\/17*s**2 + 940\/17.\nAnswer: 2*(s + 1)*(s + 470)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:49 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1\/2. What is the nearest to -1 in r, 0.5, -1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 8 - (3821 + -3716)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -21 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -5563040?\nAnswer: 5563045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1374303.9369018 minus 0.5?\nAnswer: -1374304.4369018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:15 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6 + -3)\/((-15)\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -721, -2604, -5629, -9796?\n\"Answer: -571*u**2 - 170*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 5:54 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 854096818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -1350?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272736153.\nAnswer: 3, 1122371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 11*q - 24. Calculate the remainder when 15 is divided by t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uky when three letters picked without replacement from gougokgumookuyo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 1 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d + 2. Let p = 4 + 0. Suppose -p = 5*y + 6. Put d, -5, y in descending order.\nAnswer: d, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -761\/1056 - -25\/32. Are -1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p - 668 - 6*p - 2*p + 17*p + 9*p. Let z(n) = -2*n + 8. What is the lowest common multiple of z(-6) and x(30)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 0*p)*(27*p + 60*p - 48*p) + 13*p**2 - 78*p + 78*p.\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 14*t**2 - 158*t + 41. Suppose 2*y - 3 = -3*q, -q + 0*q + 3*y = -12. Let v(n) = 14*n**2 - 158*n + 40. Let c(u) = q*v(u) - 4*s(u). Factor c(r).\nAnswer: -2*(r - 11)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/96*-4*(-2)\/4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48498 and 708.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 214\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6855, -13738, -20631, -27540, -34471?\nAnswer: -41430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -18*l - 10. Let x be u(-4). Let d = -62 + x. Suppose 4 = -2*s + 3*o - 1, 9 = 3*s + o. Solve k - 4 = -3*f - d*k, s = -f - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**3 - 23*h**2 + 1145*h + 12. Let b(p) = -p**3 - 5*p**2 + 229*p + 2. Determine -11*b(v) + 2*c(v).\nAnswer: -v**3 + 9*v**2 - 229*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-515)\/(3 - 8))\/1 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 + -78?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*x + 5 = 0, 0*r + 3*r = -3*x - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8244 - -8254. Suppose 4*j = -0*j + 5*z + 31, 5*j - 5*z - 35 = 0. Solve 9*d - n = j*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8277470501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 665*y + 517367. Calculate f(-778).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*s + 3 + 35*s - 106*s - 35*s**3 + 36*s - 65*s**3 to j*s**2 + a*s + x*s**3 + d and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-236 + 386 - 232)*(2*b + 4*b + 2 - 5*b).\nAnswer: -82*b - 164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 25*f + 8. Suppose -4*l + 50 = -50. Let q be j(l). Factor -4 - 4 - 5*t**2 - q*t + t**2 + 2*t**2.\nAnswer: -2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -h + 9774 - 9819, 0 = 2*h + 5*x + 111 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 q, and 1 n when three letters picked without replacement from {q: 1, a: 1, v: 2, k: 1, o: 4, n: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-101885)\/(-213))\/35)\/(2\/6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + k = -37, -k - 21 = 2*c - 4*c. Let o(w) = -w**3 + 9*w**2 - 8*w + 4. What is the units digit of o(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**2\/5 - 142458*t\/5 + 3699852\/5.\nAnswer: 6*(t - 23717)*(t - 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 5*i + 38. Give t(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 60\/15*(-4)\/(-48)*-13\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623090590?\nAnswer: 2, 5, 62309059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 388148305 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-37670)\/(-4568) - (-3 - -2). Let u = r - -2\/571. What is the common denominator of 43\/4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/63 and 68\/147.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 41 = 1. Suppose 0 = 3*v + v - 224. What is the highest common factor of v and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 3\/5 (c) 0 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2781)\/(-270)*(-1 + 0) and 35\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 2\/207, -1\/10, 1\/5, 2, -1, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15344 + 24386. Calculate the greatest common factor of 33 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19530*z**4 - 28843*z + 97 wrt z.\nAnswer: 234360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 51.24998 centuries?\nAnswer: 5.124998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 2*t - 5. Let g(q) = -q + 11. Let s be g(6). Does 4 divide i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 855284 or 855285?\nAnswer: 855285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**5 - 1\/3*x**3 + 0*x + 0*x**2 - 8 + 0*x**4. Find the third derivative of h(s) wrt s.\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -181*-0.06\nAnswer: 10.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0. Let g = 49 - 248\/5. Let f = -20831 - -20831.2. What is the closest to a in 4, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117054 is divided by 6503.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2481, -43, 2 in ascending order.\nAnswer: -2481, -43, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = -4*w, -3*n - 4*w + w = 9. Let s be 2\/n*1 - -24. Let b = -3371 + 3481. Calculate the highest common factor of s and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*m - 8 = 0, 5*d + 2*m - 3*m = 22. Suppose 31 = 5*y - a, -3 = -a - d. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12302203311 (base 4) in base 13?\nAnswer: 4a423a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 441\/63*(-3)\/(9\/3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5546 and 282?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/2248 and -137\/6.\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q + 2*q - 10*q)*(-4*q**2 + 3*q**2 - q**2) in the form s*q**3 + t*q + l + m*q**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:43 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251128 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -13. Let r = 5 + -8. Put r, 3, b in descending order.\nAnswer: 3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z - 87. List the prime factors of o(-13).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/3, 13589\/5, -51, -3\/4 in increasing order.\nAnswer: -51, -2, -3\/4, 1\/3, 13589\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11*l**2 + 6*l + 26. Let t(v) = -24*v**2 - 12*v - 52. Let n(p) = 7*s(p) + 3*t(p). List the prime factors of n(-8).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019885 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-80)\/(-12)) + (-14)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 72 = -5*l, -z + 2*z + 2*l = 81. Suppose 307 - z = 5*f. Find the common denominator of (-54)\/f*10\/6 and -101\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 + 32*i - 1. Does 56 divide l(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008474 to 7 dps.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43020.81ml to litres.\nAnswer: 43.02081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**36)\/(d**(-12)*d)*d*d*(d\/(d*d**(-3\/20)*d))\/d*d*d**(1\/5) assuming d is positive.\nAnswer: d**(-433\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**0\/r)*(r*r**(-8))\/r)**(11\/9) assuming r is positive.\nAnswer: r**(-77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10807 - -1786. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13a374 (base 11) to base 12\nAnswer: -a66b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -787532?\nAnswer: 1\/196883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324511 (base 6) to base 2.\nAnswer: 110100101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 366, 14\/3, 2, 1.6, -0.1, 0.05 in descending order.\nAnswer: 366, 14\/3, 2, 1.6, 0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10814 - -0.086402\nAnswer: 10814.086402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 2 = -68 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3813\/2 + (-114)\/76. Suppose 5*a = -3*u + i, -2*a - 781 = -4*a - 5*u. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/2 - -6)*1. Suppose -2*c = r*v - 19, 0 = 2*v + 3*c + 2*c - 31. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 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: What is -335558179 minus -73?\nAnswer: -335558106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*((-11)\/(165\/(-6)))\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:54 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 50 = 50 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**3 + 13*r**2 + 9. Let f(o) = o**3 - o**2. Let w(n) = -a(n) - 4*f(n). What is the first derivative of w(m) wrt m?\nAnswer: 6*m**2 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/4 + (-2)\/(-48)*6. Suppose -2*c + 54 = -v, q*c - 49 = 3*v + 38. What is the greatest common divisor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -3. Let l(u) = 2*u - 1. Let t be l(-2). Let g be (-2)\/t + 4\/(-5). What is the closest to -2\/3 in g, 0.4, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*k + 287*k + 212*k - 152*k to f + o*k and give o.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(168) - -1*sqrt(168)) + sqrt(168) - (sqrt(168) - (sqrt(168) + (sqrt(168) + 1*sqrt(168))*1)))\/(sqrt(60)\/(-2*sqrt(110)\/sqrt(11)))*-6.\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*t = 2*w - 2535, 3*w = -3*t + 1545. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-27) - 4\/18. Let w be d\/(-1) - -1 - -4. Suppose v = 3 + w. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60580478 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/12477 and -119\/318.\nAnswer: 1322562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -21, 23, 105, 237, 431, 699?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 v when three letters picked without replacement from vpbvevvxx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70270371 is divided by 248?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 11) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7810, -62535, -211074, -500335, -977226?\nAnswer: -1688655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (74 - 124 - (-11 + -4))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475108624 to the nearest integer?\nAnswer: 21797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6027706*b**3*u + b**2*u + 49*b**2 - 309*b*u - 2*b - 41*u - 2 wrt b?\nAnswer: -36166236*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/7 and (-3)\/(-4)*155\/(-10).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330\/18*(-151)\/(22650\/180)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*h - 2 - 19*h + 1 + 10*h in the form d*h + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21200 + -112?\nAnswer: -22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(3 + 0 - 4) - -682. Let q = d + -640. Calculate the greatest common divisor of 286 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x + 5*h = 31*x + 1880, -6*h = -5*x + 4663. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u - 0. Suppose -2*z + 3 = -u. Let q = -10 + 30. Solve 2*b = -z*b + q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {h: 1, z: 1, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 2, -608, -3 in ascending order.\nAnswer: -608, -11, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2.02. Let s be 2\/(-2) + 2 - (12 - (-374)\/(-33)). Suppose -5 = 3*g + 4. Which is the closest to s? (a) g (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -3*a**5\/40 + 7*a**4\/48 + a**3\/6 - 4*a**2. Solve s(h) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/622 + 1223\/4354. Let h be (-2)\/(-1)*(-28)\/168. Which is the closest to z? (a) -1 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -729503 or -729504?\nAnswer: -729503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u. Suppose 3*d + 46 + 11 = u. Let m = d - -51. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 - 1554 = -278*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**3 + 5*u**2 - 4*u + 7. Let z(x) = -2*x**3 - 3*x**2 + 2*x - 4. Give -3*r(o) - 5*z(o).\nAnswer: -2*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*b - 160 = -117*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 8*d**2 - 8*d - 6. Suppose -2*n = -n - 10. Calculate the remainder when l(6) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by -126\nAnswer: -38\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpizifv. What is prob of picking 1 p and 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19169 in -7, 4\/3, 1\/7, -1\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118 and (-2)\/9 + (872\/36 - 13 - 5).\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 12 = -d + 4*a, 5*d + 60 = a. Let i be (2\/21)\/(((-130)\/d)\/13). Is i not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1\/107, 2.4, 4 in descending order.\nAnswer: 15, 4, 2.4, 1\/107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x = 10. Let u(o) be the first derivative of 1\/3*o**3 + 1\/2*o**2 - 2*o + x. Calculate u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54904377 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -159*d**3 + 90*d**3 + 81*d**3. Calculate the remainder when 34 is divided by y(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7*z - 2*z + 26 = 0, 0 = -d + 4*z + 21. Suppose 0*j = -j - d. Let g = -5 - -2. Sort g, 2\/7, j.\nAnswer: g, j, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14 - (396\/(-24) - -5))\/((-1)\/(-2)). Let o(d) = d**3 - 4*d**2 - 5*d + 6. Let w be o(5). Let z be 3\/w - s\/(-2)*-1. Put -50, 0.4, z in decreasing order.\nAnswer: z, 0.4, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11061 is divided by 88.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 6*h**2 + 6*h + 7. Let p be v(7). Let f be (-1)\/(-7) - (-300)\/105. Let n be 2\/(-6) - (-3 + f). Is p bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -2*n**9\/21 + 13*n**5\/60 - 7*n**2 + 3. Find the third derivative of r(o) wrt o.\nAnswer: -5760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**4\/24 + o**3\/3 + o**2. Let v be l(2). Suppose v*p - 8 = -p. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-143) + 2018\/88 + 2\/8. What is the closest to w in -3, 12, 2\/23, 1\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t. Let p(m) = 319*m**2. Calculate i(p(l)).\nAnswer: -957*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103004125 + -30?\nAnswer: 103004055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*c + 4. Let b be ((-8)\/(-5) - 75\/125)*5. Suppose 4*h = -c*j + 24, -b*h - 2*j - 10 = -7*j. What is the smallest common multiple of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1467*f**5 + 9*f**4*j + 210*f**2*j - f**2 - 48*f - 2 wrt f?\nAnswer: 88020*f**2 + 216*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = -3*i + 12, 30 = 4*i + 2*a. What is the first derivative of 4*x - x**2 + 2*x**2 - i - 2 - 48 wrt x?\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/4 - f**3\/3 - f**2\/2 + f + 1. Suppose l = -3*i - 2*i - 11, 2*i - 2*l = -14. Is v(i) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 6 - 6*j**2 - 2*j**2 + 5*j**2.\nAnswer: -11*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4. Let m be q + -2 + 0 + -2. Sort 3, m, -4.\nAnswer: -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 - v - 7. Let n(f) = -9*f**2 - 2*f - 14. What is 4*n(m) - 7*y(m)?\nAnswer: -m**2 - m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(325) + -4 + (sqrt(325) - (sqrt(325) + 0 + sqrt(325) + 2)))**2 + -3.\nAnswer: -120*sqrt(13) + 1333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142\/3 + -48. What is the second smallest value in -3, s, 0.07?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/30)\/(2\/10). Suppose g = -4*v, -3*v + 2*v = -2*y + 6. Suppose y*r = -l + 8, -5*l - r - 4*r = -25. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 3. Let d(o) = -2*o - 6. Let h(f) = -3*d(f) + 7*v(f). Let q be (-2)\/1*3\/2. Calculate h(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-150)\/9 - (-2)\/(-6). Let q be (-15 - a)*7\/2. Calculate the greatest common factor of 21 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612843.8352 + -0.0312?\nAnswer: 612843.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and -114253.\nAnswer: -114247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2670 and 2581.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471387?\nAnswer: 3, 7, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttxt when four letters picked without replacement from {t: 5, h: 2, s: 6, y: 2, x: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 6. Suppose -4*c + 104 + 106 = 2*j, 3*j - 3*c - 270 = 0. Let x = j + -66. What is the remainder when x is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**3 + 30*p**2 + 2*p - 28. Let m(j) = 6*j**3 - 31*j**2 - j + 26. Let u(y) = 5*d(y) + 4*m(y). Is u(26) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.367766 millilitres to litres.\nAnswer: 0.002367766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/7 + (-1419)\/(-231). Is 10\/(-15)*-1 - (-9038)\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 - g**2 - g**2)*(-15 - 1322*g + 13 + 1340*g) as l + v*g**3 + j*g**2 + u*g and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 2*m + 8. Let i(n) = -n**3 - 4*n**2 + 3*n + 11. Let s be i(-2). What is the remainder when 24 is divided by q(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098 times 0.1?\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5628 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssq when three letters picked without replacement from ssq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*i - 183*i + 14238 = 0. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023504 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 18*z - 1. Let l(b) = 11*b. Give l(g(o)).\nAnswer: 198*o - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from lpxloppolppox.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243151429 to the nearest integer?\nAnswer: 15593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - z - 9, 122*d - 2*z = 118*d - 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34266 or -34264?\nAnswer: -34266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -132 (b) -3 (c) -2 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 56, 90, 126, 164, 204, 246?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4332 and 55855364.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*d**2 - d**2 - 2*d**2 + (-2*d - 2*d - d)*(-6*d + d - d) - d**2 + d**2 - d**2.\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-6)\/(-7)*-1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 - 126. Is -9 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*k = 2, -2*g - k = -4*g + 16. Suppose 37 = g*p + 7. Suppose -2 = -189*o + 187*o. Put p, 0, o in descending order.\nAnswer: p, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739543934 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 55*k**2 - k + 16*k**2 - 712*k**2 to r*k**2 + l + m*k and give r.\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3332498*n**2 + 4*n. Let c be x(-2). Round c to the nearest one hundred thousand.\nAnswer: -13300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1964 divide 102723092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6179 divide 271477709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b90b - -4?\nAnswer: 1b913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/8))\/((t**(-6\/11)\/t)\/t))\/(t**(-13)*t*t*t**(-14)) assuming t is positive.\nAnswer: t**(2479\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.063 + -87.937. Let x = -86 - v. What is the closest to 5 in x, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 9*h + 12. Let y be k(4). Let b(s) = -2*s - 1. Let t be b(-4). Is y at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 28*h.\nAnswer: 2*h*(h + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 93934030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sststttsttttstttts. Give prob of sequence stss.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -337.2 - 0\nAnswer: -337.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -29 - (-29 + 41)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:28 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 46\/10)\/((-184)\/20 + 0).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.48 (b) 6.9 (c) -0.1 (d) 51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8\/9*h - 4\/9*h**4 + 2\/3*h**3 + 16\/9*h**2 - 2\/9*h**5 = 0. Calculate h.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 9*g**2 - 52*g**2 + 173*g**3 - 24*g**2 - 178*g**3.\nAnswer: -5*g**3 - 85*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185\/11 - -4603\/275. What is the nearest to 0.3 in 3\/4, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2926 + 4982. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-7106))\/(81\/891)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112 + -102212?\nAnswer: -112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2884*p - 68628 = 1250*p for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w, -w = j - 2 - 2. Suppose 0*v - j*z = -2*v + 22, 0 = -3*v + z + 8. Solve 4*x = -v - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1792 (b) 0.1 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**2*p*y**2 + 2*l**2*u*y + l**2*y**2 - l*p*y**2 - 2*l*u*y**2 - 389*p*u*y - 728*u wrt p?\nAnswer: 2*l**2*y**2 - l*y**2 - 389*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.00517 + -0.00517. Let s = 0.041 - 10.741. Let w = s - -11. Which is the nearest to j? (a) 4 (b) -0.06 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -24. Suppose c*n - u = 91, 3*n - 2*u = -7*u + 85. Is 30 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55410432 = -11*c - 7*c - 18566232. What is c rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234 + -236. Suppose -2 - 2 = -4*u. Sort 5, u, d in ascending order.\nAnswer: d, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssd when four letters picked without replacement from sdsdddsdssdd?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 0.22, 5\/2, 0.4?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*t. Suppose -r + 11682 = t*f + 1485, -2*r + 6794 = 2*f. What is f rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {z: 3, l: 1, h: 1, b: 2, i: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i - 8. Let q(v) be the first derivative of -v - 1. Let x(r) = -k(r) + 5*q(r). What is the remainder when 17 is divided by x(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaumeuezuezeuebem. Give prob of sequence eae.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/s**0))**22\/(s\/(s\/s**(1\/4))*s)**35)\/((s*s\/s**(-2))**(-7\/8)*s\/((s*s*s**(-1))\/s)*s**(-7)) assuming s is positive.\nAnswer: s**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 145*b - 4890. Determine f(48).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4 = i, -757*c + 752*c = 2*i - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1331) + -2)*1 + -5)*-5 + -3 + -4)**2 + -3.\nAnswer: -2750*sqrt(11) + 33897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 14*m - 622. Let g be x(-33). Solve -49 = g*v - 54 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*a + 51 = 0, -2 - 28 = -4*j + 2*a. Let t = -4 + j. Suppose 0 = 4*v + 3*m - 39, t*v + 0*v - 47 = -2*m. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4785?\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 191, 229, 261, 287, 307?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16710893827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Suppose 0 = 4*d + j - 65, -2*d - 12 = -2*j - 32. Let l be (-9)\/d - (-2)\/2. What is the second biggest value in -5, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -3 - (2 - -1). Let v = 6 - n. Suppose -96*r = 22*r + 126*r - 5124. Calculate the remainder when r is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*a + 5652 = 62*a + 1212. Calculate the highest common factor of 7810 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27387 and 0?\nAnswer: 27387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Let q be (-4)\/(-14) + (-20)\/35. Which is the nearest to j? (a) q (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -1. Let t = -1 + f. Let r = 4.7 + t. Which is the nearest to 1\/4? (a) -5 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = -v - w, 3*v - 931 = 5*v - w. Let d = -459 - v. What is the third biggest value in 2, d, 1\/4, 0.83?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i + 1. Let a be r(-1). Let p = a + 8. Let b be 7 + -2 + 2 + -4 + -3. Solve 4*h = p*v - b*h + 3, v = h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791538613?\nAnswer: 19, 41659927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 400.92 to the nearest 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/2745636 and -33\/14620.\nAnswer: 13728180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-125*(-20)\/12 - -2). Solve 4*l**3 - b*l**4 + 631*l**4 - 2*l**5 - 2*l + 0*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3246.97 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 3\/4 (c) -1\/200941 (d) -1 (e) 2\/9 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6*p**3 - 3*p**3 + p**3)*(2*p**2 + 0*p + 0*p).\nAnswer: 8*p**5 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, 4, -3088, 1.\nAnswer: -3088, -152, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*v**3 - 2*v**2 + 7*v**3 - 2 + 198*v**3 + 3*v**2 - 41*v**3 - 1243*v wrt v.\nAnswer: 1188*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(6)\/sqrt(2))**2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18330 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 592790 = -7*j + 3*j, 4*j + 592794 = 3*d. What is j rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 842?\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 3*k. Let b be z(2). Let u be 43\/9 - b\/9. Suppose 0 = -5*d - u*g + 155, -4*d + 47 = -2*d + 5*g. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 6 - -2)*14\/(171 + -17). What is w in -y*w + 0 - 58\/11*w**2 = 0?\nAnswer: -1\/29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-66)\/(-30) - 2)\/((-6)\/(-370)) and -50\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 4, 2.6, 3\/4, -6, 43, -5 in descending order.\nAnswer: 43, 4, 2.6, 3\/4, -3\/4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 54\/7, -5, -1, 4 in decreasing order.\nAnswer: 8, 54\/7, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 27*m**2 + 0 - 21*m**2 to the form h + a*m + y*m**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.59 + 34.41. Let t = z - 38. Which is the nearest to 0.5? (a) -5 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796 a factor of 17959007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2015 and 214799?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 7:59 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m - 51. Give u(-15).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 72 + -5?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/3416 and 81\/214710728?\nAnswer: 1502975096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from dhshuhussshsdhsddsd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79106 is divided by 19672.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-20)*12\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 12*r**2. Let m be (2 - ((-32)\/10 - -4))*(-735)\/(-42). Let k(s) be the second derivative of 0 + 0*s**2 + 0*s**3 - m*s - 1\/12*s**4. Give k(t(h)).\nAnswer: -144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175888569.\nAnswer: 3, 607, 96589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 225*s + 12*s**3 - 253*s - 184*s**2 - 23 + 319*s - 201 + 441*s = 0?\nAnswer: 1\/3, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Suppose -5*v - 4*i + 19 = -17, -q*v = -2*i - 4. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**4\/24 + 3*l**2. Let s(j) = 4 + 0 - 2 - j. Let v be (195\/(-26) - -6)*(-2)\/3. Determine v*s(c) + 2*a(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3360 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 11}. What is prob of picking 2 f?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/5 + (-2 - (-84)\/7))\/((-570)\/100)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 165 (b) -0.2 (c) -1 (d) -137 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*x**2 - 70*x**2 - 64*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u - 3. Let i be p(-6). Suppose -5*k = 4*h - 3, 2*k = 3*h - 8*h + 8. Find the third derivative of i*s**h - 11*s**6 - 61 + 61 wrt s.\nAnswer: -1320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ghhgbrmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1178 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5686 - -5690. Suppose 30 = -4*x + 126. Suppose -3*n = n - x. Solve -6*q - n = -h*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 12 - 8 - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 16. Solve y = -5*o + l*y + 25, 2*y = -o - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 2 - (-75 - -84).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1387 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/12)\/(114\/304). Sort f, 1\/3, 3\/7 in decreasing order.\nAnswer: 3\/7, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, -417986, -5 in decreasing order.\nAnswer: 5, -0.3, -5, -417986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-10)\/m*m*m)\/m)**22*m*m**(-3)*m*m\/(m\/m**(-6)) assuming m is positive.\nAnswer: m**(-227)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 417 - u - 416)*((-3*u**2 + 0*u**2 + 4*u**2)*(-26 + 26 + 6*u) - 2*u**3 + 0*u**3 + 4*u**3).\nAnswer: -32*u**4 + 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 4:32 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + -98 + (1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, i: 8, y: 2}. What is prob of picking 2 y and 2 i?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11395*o**2 - o - 29219 wrt o.\nAnswer: 22790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78664\/16 + -8 - 6\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -241*d - 15383. Give c(-65).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4987.19134 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + v = -70 + 105, 3*c = 4*v - 115 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3769831069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:16 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342 (base 6) to base 9.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 13 = 2*l, 2*l + 23 = 4*m - l. Suppose 157 + 123 = m*d. What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 2650*r**3 - 105420*r**2 + 1448440*r - 6695360.\nAnswer: -5*(r - 488)*(r - 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 2*o**4 + 8*o**3 - 17*o**3 - 4*o**3 - 2*o + 2 - o**3 as u + q*o**3 + h*o**4 + y*o**2 + k*o and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 289667, 289647, 289619, 289589, 289563, 289547, 289547, 289569?\n\"Answer: o**3 - 10*o**2 + 3*o + 289673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 3 - (10 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -13*z**2 - 1 - z + 8*z + 5*z + z**3. Let k be i(12). Put k, -2, -13, 4 in descending order.\nAnswer: 4, k, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2843768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2782309173.\nAnswer: 3, 7, 132490913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 32 - (7 + -16 - -26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**6\/15 - 16*z**5\/25 - 6*z**4\/5 + 96*z**3\/5 + 270. Factor t(d).\nAnswer: 2*d**2*(d - 6)**2*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, 13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 203\/63 + 6\/(-54)*56 + 6. Let a(z) = -15*z + 9. Give a(b).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -16. Let n = -16 + g. Calculate the lowest common multiple of n and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -251697, -2, 1, 5 in ascending order.\nAnswer: -251697, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2) + (-6 - -3). Let t be ((-15)\/(-45))\/(1\/(-15)). Sort p, t, 4.\nAnswer: t, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4124 by -4.\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/4*66\/77.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*r*w**3 - 194*r*w**2 - 3*r*w + 4*r - 2*w wrt w?\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, -8, -15, -20, -23, -24, -23?\n\"Answer: g**2 - 12*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24244 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49810 and 69734.\nAnswer: 348670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 248.3132 litres?\nAnswer: 248313.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**3 - 2*r**2 - r. Let p be d(-1). Suppose 4*i = -0*k + 5*k + 216, -5*i = 4*k - 229. Suppose i = p*n + 17. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21272111\/5 >= -4254421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 7, -5.7, -3, -18 in descending order.\nAnswer: 7, -2\/5, -3, -5.7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 340*c - 24402. What is i(-103)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 2\/9 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 10) in base 13?\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 + 115 + -88 + 67.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiminnsiilnnnx. Give prob of sequence lix.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a week in minutes?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 4, z: 2, g: 8, l: 2, m: 3}. Give prob of sequence bz.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 661799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4937547087 to four decimal places.\nAnswer: -0.4938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18682028 to the power of 1\/2, to the nearest integer?\nAnswer: 4322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 2)*(-5*r + 5*r - 2*r)*(-14*r - 5*r + 6*r).\nAnswer: -104*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**3 + 5*t**2 + 6*t. Let y(h) = 6*h**3 + 4*h**2 + 5*h. Suppose -18 = 5*w + 7. What is w*s(q) + 6*y(q)?\nAnswer: q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33479 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a (base 12) in base 4?\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -292, -441, -612, -799, -996?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1 - -664259.\nAnswer: 664260.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 4320?\nAnswer: -4254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 26. Let x(f) = -f - 26. Let g(i) = 6*q(i) - 7*x(i). Calculate the remainder when 39 is divided by g(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -701*w**5\/5 + 7*w**3\/3 - 31*w**2\/2 - 2422. What is the third derivative of o(h) wrt h?\nAnswer: -16824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.41 and 150.7?\nAnswer: -61.787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -w + 84. Let v be 3*-1*4\/w. Let m = v - -20. What is the smallest common multiple of m and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207830, 207860, 207890?\nAnswer: 207920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99600 and 1721088?\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhdyhlllhdldhdhhkkh. Give prob of picking 1 h and 2 l.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7981 = -35*q + 559. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24289631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 i when four letters picked without replacement from {c: 15, i: 3}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 0, 2*x - 2*i - 4 = x. Let d = x - -6. Let p = d - 5. Solve -p*t = -t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 129203*z**3 - 5 + 128925*z**3.\nAnswer: -278*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*b + 104*b + 374 + 337 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/8 - (-2)\/8. Let c = -3 + 6. Suppose 0 = c*k - 4*k + a. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*-6*(sqrt(98) - sqrt(98)*1)*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7437?\nAnswer: 3, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 7*s + 12. Suppose 6*o - 2*o + 3*v - 21 = 0, -2*o = -5*v + 9. Let j be -12 - -9 - (-24)\/o. Determine f(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50704*5.\nAnswer: 253520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36*0.142.\nAnswer: 0.05112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 9*b**2 + 9*b + 12. Let g be h(10). Let n(q) = -3*q - 3 - g - 6. What is the units digit of n(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 - 5*s**2 - 26*s - 120. Is 60 a factor of h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2. Let g(x) = -10239584*x. Give g(f(o)).\nAnswer: 51197920*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(28)*2 - (sqrt(63) + -5)))*2.\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*g - 145 - 97 = -1187 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 4. Let i be -12 - -3 - (-4 + 4). Let j be 2\/(-10) + i\/(45\/2). Which is the second smallest value? (a) -5 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 2*h - 267. Let x(i) = -5*i**2 + 6*i + 800. Let p(q) = 8*s(q) + 3*x(q). List the prime factors of p(0).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 24*y**3 - 42*y**2 - 183*y - 45. Let f(w) = w**3 - 2*w**2 - w + 1. Let p(u) = -3*f(u) + j(u). Factor p(x).\nAnswer: 3*(x - 4)*(x + 2)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6320509031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54241 or -54245?\nAnswer: -54241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 68 + (-4 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 8 = -14*u. Suppose -5*v = 4*t - 133, -u*v + 101 = -2*t + 5*t. Calculate the highest common factor of t and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + (-93 - -99).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = -6. Suppose -u*f - 374 = -734. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 117. Let l = -15\/14 + 3\/2. Which is the third biggest value? (a) l (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -3 (c) -3\/2 (d) 34 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.06 + -0.06. Which is the second biggest value? (a) -3 (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*r - 2\/9*r**2 - 40\/9.\nAnswer: -2*(r + 2)*(r + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 4*n + 8*n**2 - 7*n**2)*(2*n**2 - 6*n**2 + 2*n**2) as w*n**2 + k*n + f*n**3 + u + j*n**4 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1360 + 16?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -740789, -740787, -740785, -740783, -740781?\n\"Answer: 2*h - 740791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1573 = 3*g, -g + 152 = -2*l - 374. What is the least common multiple of g and 90?\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**5 + 6*w**4 - 19*w**3 - 11*w**2 + 11*w + 6. Let k(n) = n**5 - n**4 - n**3 + n**2 - n - 1. Let t(c) = -k(c) - z(c). Suppose t(v) = 0. What is v?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -126*m + 27656. What is y(206)?\nAnswer: 1700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 276*21 - (-10 + (5 - -6)). Suppose 5*y = 10 + 125. Suppose y*w + k = 32*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 18 = -4*g, 471*g = -5*d + 476*g + 55 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -736 and -736 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n**2 - n - 10*n**2 - 3*n - n + 8*n**2.\nAnswer: -35*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 2. Let i be m(2). Suppose 0*j = -i*j + 216. Suppose -3*y = -j - 27. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528\/(-77)*(-1)\/((-14)\/(-49))*-1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 12. Let f(b) be the second derivative of 1\/2*b**2 + 0 - s*b + 1\/6*b**3. Give f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 170 - 70 + 12*x**2)*(-1 + 3 - 1).\nAnswer: 12*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -17.08959.\nAnswer: -17.08959, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64.55 - 64.65. Let x = -1.2 - -1. Which is the closest to 1? (a) x (b) l (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554 != 25537\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1866804963 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12720 and 880053552?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -17, 22, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -413*t + 1095*t + 497*t + 977*t in the form y*t + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31542688924\/1155 + -27309691. Let c = b - -58\/77. Let s = c + 8\/3. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -3, 0, -10.\nAnswer: -63, -10, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31465 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/444853969 - -9171554266663\/1810555653830. Let t be ((-84)\/99)\/((-148)\/(-6)). Let x = p - t. Find the common denominator of x and -91\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.1. Let z(b) = 2*b**3 - 53*b**2 + 35*b + 18. Let v be z(26). Let w be ((-18)\/v)\/((-2)\/4). What is the smallest value in j, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/9)*s)**(-2\/5)\/(s**(-4\/7)\/s)**(1\/14) assuming s is positive.\nAnswer: s**(-1073\/4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5487 and 297.\nAnswer: 543213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*c + 65*c = -465*c - 22925 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 41 = -2*l + 2*m, m = -4*l + 137. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/7 and 72\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3136 and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 804\/156 - (-2)\/(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 2. Let u(d) = 11*d**2 - 5*d + 15. Let h(z) = 5*q(z) + u(z). Determine h(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.3, -2\/9, -1\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:52 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 7*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 + -0.13. Let w = -0.13 + -6.87. Is w < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/7*a - 1\/7*a**3 - 5\/7*a**2 + 9\/7 = 0. What is a?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -3*c. Suppose c = -4*s - 4*a - 184, -3*s - a = -4*a + 162. Let d = 72 + s. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(363) + 0 + sqrt(363) - sqrt(363))**2 - (-2*sqrt(108) + 4)) + -3.\nAnswer: -98*sqrt(3) + 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 80.4411 * -1\nAnswer: -80.4411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32355?\nAnswer: 3, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -3 (c) 3518376\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/8*(1 - (-72)\/(-42)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 28.726498\nAnswer: 11.4905992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:38 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:04 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -170 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 3*k - 4*k + 2*k + (53*k - 53*k + 84*k**3)*(3*k - 4 + 4) as t*k**2 + d*k**3 + b*k**4 + a*k + j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzmszusssm. What is prob of picking 1 s, 2 m, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 920011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 18 = -3*a, -3*a = -0*a. Let g(u) = -u**3 - 10*u**2 - 10*u - 7. Let i be g(q). Let v(z) = i*z - z + z. Let b(j) = j. What is v(b(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 3*v**2 + 61245*v - 122479. What is m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*x + 207*x + 31*x as m + k*x and give k.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose -5*z - 17 = -2*l - 0*l, -5*z = 4*l + 41. Let f = h - z. Solve 5*c - 10 = f*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*j - 33, 2*d - 51 = 5*j + 4*d. Let w be 3\/(j\/(-42)) - 2. Suppose 0*s + w = s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113 + 203. Suppose -2*t + 3*s + 36 = 0, -4*t = t - 5*s - f. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + 15.9. Let m = o - 19.4. What is the third smallest value in m, -0.4, -1\/25, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3\/2*k - 7\/6*k**2 - 1\/3 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-24 + 12) - (-1 + 3 + -3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3322 - 1881.4179254\nAnswer: -5203.4179254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 775700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 472*q**3 - 471*q**3 - q + 0*q**2 - 2 - q**2 to j*q**2 + n*q**3 + b + v*q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 + 111*s + 6. Let v be b(-37). Solve -2*x - 8 = a, -5*a = -x - v*a - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77629501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -2, 3 in increasing order.\nAnswer: -7, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Let d(k) = k + 6. Let s(y) = 3*y + 17. Suppose 0 = -2*t + 4*t + 26. Let v = 19 + t. Let p(z) = v*s(z) - 17*d(z). What is i(p(h))?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600\/175*(6\/8)\/(277\/5817).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43480531, -43480529, -43480527, -43480525?\n\"Answer: 2*f - 43480533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10*g + 16. Let v(d) = -3*d + 5. Determine -2*i(f) + 7*v(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19\/190)\/(4\/(-40)). Let t = 284 - 3120\/11. Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 432 = -5*d, 4*d - 127 = -h + 8*d. Suppose 17*f - h = -71. Solve 13 = f*j + 5*s, j + 3*s = -3*j + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4032)\/432*-6*2\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 2*o**2 - 7. Let l be m(3). Find the first derivative of -36*x + l*x - 8*x - 6518 + 6523 wrt x.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202090921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -24 + (-2574)\/(-110) - ((-2)\/(-5) - 4). Factor 4\/7*w**2 - 16\/7 - 8\/7*w + 2\/7*w**o.\nAnswer: 2*(w - 2)*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 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: Let w be (-17)\/(-4) - (-4)\/(-16). Let v = 3 + w. Is v not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -11*b**3\/3 - 10*b**2 - 11*b + 82. Let t(g) = -g - 5. Let n be t(5). List the prime factors of h(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -19 + 37. Suppose -2*a + 3*z + 12325 = 0, -3*a - z = u*z - 18513. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 6:44 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 117, 257, 453, 705, 1013, 1377?\nAnswer: 1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 + 276. Let t = y + -153. Which is the smallest value? (a) 0.1 (b) t (c) 3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22022 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -687.9 + 689. What is the second smallest value in -0.1, g, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8974313, 17948623, 26922933, 35897243, 44871553?\n\"Answer: 8974310*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 23 = -5*m, 4*m + 0*n = -2*n + 36. Is ((-86)\/(-2))\/(m + -6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -6\/29, 4, 3\/7, -151?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -3. Let k = 11 + f. Let s = 0.29 + -0.19. Which is the second biggest value? (a) s (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x**2 + 5*x**2 - 35*x**2)*(x**2 + 2 - 3 + x**2).\nAnswer: -32*x**4 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -120, -122, -126, -132, -140, -150, -162?\n\"Answer: -k**2 + k - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 + -61. Let z = i + -38. What is the remainder when 28 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 731.82093546 - -1.1.\nAnswer: 732.92093546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -94917, -94916, -94915?\n\"Answer: i - 94918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 - 1)*(30 - 8 - 3).\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let q be 1 - 2\/(-12)*9\/(-2). Sort -1\/5, b, q in decreasing order.\nAnswer: b, q, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971264*d**4 - 120193968*d**3 - 89362228*d**2 + 29861952*d + 1476 = 0 for d.\nAnswer: -123, -1, -3\/60704, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqrriiiriirrri. Give prob of sequence ir.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + -1 + ((sqrt(637)*-3 + 3 - sqrt(637)) + 6*(-3 + sqrt(637)) + sqrt(637))**2 + 1.\nAnswer: -630*sqrt(13) + 5961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 689973694 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**39*j*j\/j**(5\/8)*j*j*j*j)\/(j\/(j**(3\/22)*j))**(-5\/4))**(-1\/57) assuming j is positive.\nAnswer: j**(-1945\/2508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035 - -3.67?\nAnswer: 1038.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 64 - 102 = 2*l, 63 = -2*y + 3*l. What is the common denominator of -3 + 4 + (55\/(-56))\/5 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2))\/(15\/(-100)). Let b be (8\/q)\/((-2)\/(-15)*-3). Factor i**2 - i**2 - 4*i**b - 8*i.\nAnswer: -4*i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 - 3 + 19*f**2 + 5 + 16*f**2.\nAnswer: 24*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1917230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/7)*d*d*d**(1\/9)*(d**(1\/7)\/d)\/d**(-2\/9)*(d**0*d**(-2\/3)*d*d)\/(d**2\/d*d*d*d*d*d*d\/(d\/d**(-2\/7))*d) assuming d is positive.\nAnswer: d**(-85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-16))\/((-7)\/(-3)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 3, q: 10, c: 2}. What is prob of picking 1 s and 1 c?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1545 or -3004?\nAnswer: 1545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 9*s = -48. What is the common denominator of s\/(-24) - (-482)\/(-24) and (8\/12)\/((-16)\/(-79))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -3*l - 23*q, 0 = 5*l + 3*q. Sort l, 1, 1\/53, 0.5, -1\/6 in descending order.\nAnswer: 1, 0.5, 1\/53, l, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.17 + 0.07. Let z = k + 0.6. Let q = -3 + 3.1. Which is the closest to -2? (a) z (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431444 (base 5) to base 9.\nAnswer: -22048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*n**5*z + 4*n**3*z + 32*n**3 + 10*n*z - 59*n + 3*z + 1 wrt n?\nAnswer: 440*n**3*z + 24*n*z + 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 2) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.96 - -0.04. Suppose -127*s + 48 = -125*s - 5*h, 3*h = 5*s - 44. What is the smallest value in g, 20, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5, -2*d - 3*y - 26 = -7*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2 = -2*a, -2*a + 216 = -3*r + 217 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*y = -1694 + 1061 + 10353. Suppose 4*f + 42 = 2*t, t + 4*f - 2 = 1. What is the greatest common divisor of y and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 4*a**3\/3 + 1414*a**2 + 1568. Factor y(s).\nAnswer: 4*s*(s + 707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**3 + 3*u + 11. Let p(l) = -3*l**3 + 2*l + 7. Suppose 5*i + 60296 = 60321. Determine i*c(r) - 8*p(r).\nAnswer: -r**3 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/59 in -37, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 0.03239.\nAnswer: -0.16761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/4 + 25*o**4\/4 + 42*o**3 + 36*o**2 = 0. What is o?\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:06 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 0.0697322.\nAnswer: 8.9302678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 + 2)*(-s + s**4 + s) + 40*s**4 + 48*s**4 - 3*s**4.\nAnswer: 96*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + t - 5*t + (2 - 4 + 3)*(t + 2*t + 0*t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-6 + 0 + 1). Let j(u) = 3*u**2 - 5*u - 7. Let s = -13 + 28. What is the remainder when j(i) is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/4 + 7082565*t**2\/4 - 8853200*t = 0 for t.\nAnswer: 0, 5, 7082560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.486 + -0.086. What is the nearest to 2\/29 in 0.2, 3, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37499, -74995, -112489, -149981, -187471, -224959?\n\"Answer: t**2 - 37499*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.3, -0.1, -0.4 in increasing order.\nAnswer: -6, -0.4, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 5*s + 6. Let g be d(-8). Let p be (1 - (-2 - -2))*4. Suppose -p*h + g = h. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35970631.\nAnswer: 167, 215393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/8 + 47*f**4\/4 - 45*f**3\/8 - 2185*f**2\/4 - 1657*f - 1128 = 0 for f.\nAnswer: -94, -4, -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 7*p + 5. Give r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 times 140?\nAnswer: 6440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9053 (base 11) to base 9.\nAnswer: -17454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404 (base 9) to base 4.\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*6254\nAnswer: 3127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025676 to 5 dps.\nAnswer: 0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 10*n**2 - 16*n + 6. Let r be b(8). Solve r*w = 7*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 1. Let i(t) = 264*t**3 + 12*t**2 - 12. Give 3*i(o) + 36*s(o).\nAnswer: 792*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 12) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 794960, 794955, 794950, 794945, 794940?\nAnswer: 794935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -283 + 283.209. Let l = n + -0.009. What is the third biggest value in 3, l, 62?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 18. What is the nearest to 4 in g, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 5:02 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 5:18 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 887 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 6*n - 3*n - 151, 5*n = -3*i + 461. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(500)*2 + sqrt(500)) - (sqrt(500)*1*-3 - sqrt(500)))\/(5*(sqrt(4) + sqrt(324)*2 + (sqrt(4) - sqrt(12)\/sqrt(3))*-1)).\nAnswer: 7*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13562 - 28025 = 1219*l + 1205 + 25778 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126181309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 314 + -358 + 38 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 13*c**6\/24 + 7*c**5\/12 + c**2. Let b(f) = 185558*f**2 - 92772*f**2 + f**3 - 92780*f**2 + 10*f**3. Give 35*b(t) - 6*w(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*t - 40, 2*d + 53005 = -2*t + 53029 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4857622 - -4854835.947. Let f = n + 2782. Round f to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 1 in decreasing order.\nAnswer: 8, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -0.5, 2170, 14, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -390, -335, -226, -51, 202, 545?\n\"Answer: 2*n**3 + 15*n**2 - 4*n - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (126 - -3) + -6. Let t(z) = -123*z - u*z + 242*z. Let n(h) = -115*h. Determine t(n(r)).\nAnswer: -230*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -1 + (3 - 9 - -5 - (-109 - -104)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 28. Let l = -4 + 8. Suppose -2*m = -l*q, -5*q - 3*m - m = 0. Let v be x(q). Calculate the greatest common divisor of 224 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2 + 1 = -3*s, -5*s - 22 = -433*k + 434*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3) + -8 + 3 - (150 + -167)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57579 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190210*t - 16422 = 190567*t for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/157 (b) -1\/2 (c) 4 (d) -9\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 223354 * -4.\nAnswer: -893416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181*a**5 + 18*a**3 - 24189*a**2.\nAnswer: 10860*a**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32005, 29502, 26999, 24496, 21993, 19490?\nAnswer: 16987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 476 and -6331.74?\nAnswer: -3013908.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 - 55. Suppose 2*s - 4*p = -3*p + n, -5*s + 3*p + 128 = 0. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 10050.\nAnswer: 90450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91788*t**4 - 543*t**2 - t - 37 wrt t?\nAnswer: -2202912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.9, 2, 0.2, 0.1, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.04, -5\/16, -1\/10?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75293833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3936 = 16836. What is b rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -160*z**4 + 284*z**4 - 117*z**4 - 29*z + (-2*z**2 + 3*z**2 + 1 + 2*z**2)*(3*z**2 - 2*z**2 + 0*z**2).\nAnswer: 10*z**4 + z**2 - 29*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 0)\/1 + (-6466)\/(-61). What is the highest common divisor of 1177 and p?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*o = 120, 5*j + 2*o + 281 = 103. Which is the smallest value? (a) 0.4 (b) -0.3 (c) 1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 20, -t = -3*t - 4*j + 32. Let w be (t\/10)\/(-3) - (-140)\/(-75). Is w at most as big as -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20122 (base 3) in base 5?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -123, 5\/8, 1679, -0.4?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140 - 14*g + 140 to the form h*g + n and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.725523682 to 3 dps.\nAnswer: 0.726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/7)\/((-1)\/(-7)). Let c = h + -11. Suppose 3*d = 2*d - 2. Sort d, -1, c.\nAnswer: d, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 802*x - 157 = 797*x, -5*x = -5*z - 155 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2428*h = 10198*h - 62160 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*g + 111*g + 17420 = 0. Sort -5, 2, g in increasing order.\nAnswer: g, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3054512034.\nAnswer: 2, 3, 7, 24242159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 + -113. Solve p - 3 = -l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89358*c**2 + 84885*c?\nAnswer: 178716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:59 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 99*h**2 - 2313*h + 963. Determine w(62).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + w + 2. Let q be v(0). Suppose 0 = 2*u + q*u - 20. Suppose -2*h + 3*d + 25 = -3, u*h + 3*d = 49. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -203, -206, -197, -170, -119, -38, 79, 238?\n\"Answer: x**3 - 10*x - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 17. What are the prime factors of 4*x*3\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4452 and 23604.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050002 (base 6) in base 16?\nAnswer: cf92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232214 (base 5) to base 7.\nAnswer: 130100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -15 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/10)\/(18\/(-15)). Let p = -43\/51 + 3\/17. Which is the nearest to -1? (a) p (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 3 + 0 - h + 24*h**2. Is d(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 612 + 5*j - 477*j**2 - 426*j**2 + 901*j**2 in the form d + m*j + c*j**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -87518 divided by 5\nAnswer: -87518\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36797334?\nAnswer: 2, 3, 7, 47, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5197 divided by 1902\nAnswer: -5197\/1902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + w**2 - 21 + w**2.\nAnswer: 2*w**2 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**2 - 6*h + 6. Let w(d) = -31*d**2 - 23*d + 23. Let y(l) = 23*r(l) - 6*w(l). Let t(q) = 54*q**2. Determine t(y(f)).\nAnswer: 33750*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 7. Let r(m) = -2*m**3 + 4*m**2 - m - 2. Let f be r(2). Is z(f) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2 = -7*v. Solve 3*u = -5 - v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 9262530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 + -9 + 9 + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -6, -2, 8, 24?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -6*i + i - 15, 29 = -i - 5*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303*f**2*t**2 + 10*f**2*t + t**2 - 80 wrt t.\nAnswer: -606*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 9*f**2 - 6*f + 3. Give r(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 3*n + 2. Let a be u(2). Suppose 4*l = -a*l - 8, 0 = -5*d - l + 8. Suppose d + 30 = 4*h. Calculate the remainder when 22 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.676 - 0.676. Let s = 14 - 10. What is the third biggest value in s, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.02 - -45146.2033\nAnswer: 45149.2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (31 + -24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 - 5*q + 11*q + 20*q - 6*q + 4*q**2 - 2*q**3. What is u(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 1 + 14 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162950*v**3 - v**4 + 162950*v**3 - 43*v**2 - 33*v**5 wrt v.\nAnswer: -1980*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7771, 8308, 8843, 9376, 9907, 10436, 10963?\nAnswer: 11488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*r - 126*r + 11 = -4*m, -11*m = 2*r + 54 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11271 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -13. Suppose 4 = 3*j - z. Let a = 5 - j. Put -1, 4\/3, a in increasing order.\nAnswer: -1, 4\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 94*y**2 + 9*y - 4. Let u(t) = -47*t**2 - 5*t + 2. Determine -3*o(j) - 5*u(j).\nAnswer: -47*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*m)**(-21)\/(m\/(m*m**(4\/3)\/m))**(11\/9) assuming m is positive.\nAnswer: m**(3980\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21)*-1 - (-200)\/14. Solve 2*d + r + h = 3, -20 = 4*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 less than or equal to -0.09043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -14, -36, -88, -182, -330?\n\"Answer: -2*j**3 + 3*j**2 + j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/15)\/3*-5. Suppose 0 = 3*s - f*s - 2. Suppose 2*o = s*y - 22, 0 = y - 5*y + o + 47. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 226 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (-82)\/(-3))*(-2025)\/105\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2, 0, -40, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2789500 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568, -582, -570, -520, -420, -258, -22, 300?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 192 - 74 = 3*n, -5*j + 27*n + 150 = 65*n - 33*n for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose c = 2*k + 13, -4*c - 4*k = -c - 19. Suppose 20 = 4*q + 2*w, -q + 2*w - c = 6*w. Solve b + q*h = j*h - 11, 4*b - 28 = 4*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v*v**(-1\/6)*(v*v**(1\/4)\/v)\/(v*v**(-4)))**(-43) assuming v is positive.\nAnswer: v**(-559\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 4*i + 3*i)*(3*i**3 - 1 + 1) + (-2*i - 2*i**3 + 2*i)*(0*i + 0*i + 2*i).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24929 (base 11) to base 10.\nAnswer: 35726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/33 and -79\/1323?\nAnswer: 14553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*j = 859 - 687 - 2632 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6174 and 732991.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3194*n + 560 = 3201*n. What is the least common multiple of n and 25?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3103 (base 5) in base 12?\nAnswer: -297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-99)\/(4\/(8 + -4)). Let c be 5\/(-1) + 2 + a\/(-1). Let p be (-385)\/(-8) + (-12)\/c. Round p to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (391 - 379) + (-3 - (-45 - 8)) - (1 + 2).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72073 divided by -381\nAnswer: 72073\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -221 and -230 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65778386?\nAnswer: 2, 32889193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 110*b.\nAnswer: 2*b*(b - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k = 405*k + 8*k + 29058 + 3072 for k.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/26, 3, 20, 1, -2, 2.\nAnswer: -2, 3\/26, 1, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 times -313?\nAnswer: 37873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*r - 12 - 19*r - 100*r.\nAnswer: -239*r - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116192 and 10088.\nAnswer: 146518112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 8:09 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 39. Let m be p\/(-11) + -4 + 1. Let t(z) = -z**3 - 5*z**2 + z + 6. What is t(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27063781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25856.39 - 25578. Let g = 263.2 - l. What is g rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90638.23 + 89881.23867. Let m = -757 - d. Round m to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g**2 + g - 4. What is the units digit of k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = m. Let s(r) = r + 6. Let n(j) = j + 6. Let g(i) = -6*n(i) + 5*s(i). Let k be g(m). Solve -q + 6*q + 10 = 0, -4*x + 4*q = k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 176?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -12122?\nAnswer: -12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + x**2 + 2. Let g be w(0). What is the remainder when (-5)\/(-10) - (-93)\/g is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 325587 and 18?\nAnswer: 1953522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*18\/33)\/(8\/(-44)). What is the third smallest value in -2\/5, c, 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 330620860 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/((-78)\/72))\/(0 - -1). Suppose -h*z + 14*z - 20 = 0. Let b(w) = -w**3 + 8*w**2 - 7*w + 6. Calculate the lowest common multiple of b(5) and z.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n + 0*n)*(-2 + 7 + 2) - 741*n + 45*n + 122*n.\nAnswer: -567*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {h: 6, w: 2, q: 2, j: 4, x: 1, c: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 50.1 times 146471\nAnswer: 7338197.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53370887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljjjljlljjlj. What is prob of picking 3 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 4*r**2)*(-13*r - 578 + 578) - 3*r**2 + 3*r**2 + 2*r**3 - r**3 + r**3 - r**3 + (2*r - 5*r + 2*r)*(-r**2 - 3 + 3) + 3 + 2*r**3 - 3.\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, w: 1, k: 5, u: 3, r: 1, p: 1}. Give prob of picking 1 p and 1 k.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3006 - 58761?\nAnswer: -62767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/223 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 52 = -3*p, 4*y - 4*p + 2 - 82 = 0. Suppose -c + 0*c + y = -3*q, c = -2*q - 4. Solve -5*n = -c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o - 56 = -42*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**7\/360 + j**6\/60 + j**5\/30 - j**4\/6 + 3*j**2. Let n(i) be the second derivative of l(i). Let n(g) = 0. What is g?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6078254 a multiple of 734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30635469 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 1430*x + 32053*x + 21 - 33.\nAnswer: 30623*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z + 18 = 0. Let f be 4\/(-18) + 2\/z. Suppose -2 = 4*o + 4*v + 14, 2*v = 4*v. Which is the second biggest value? (a) o (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6248 - 5543 + 25933 + 3258 - 2*v.\nAnswer: -2*v + 29896","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 10*n**2 - 15*n + 11. What are the prime factors of c(-11)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 1. Let f be r(-7). Suppose 3*q - 3*y - 24 = -f*y, q = -5*y + 28. Suppose q*l + 31 = 70. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 132*h + 38*h + 46*h + 48*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((152 - 4)\/4)\/(-1). Let d = x - -40. Let p(j) = -j**3 - 3*j**2 - j - 3. Let z be p(-3). Put d, z, 2 in decreasing order.\nAnswer: d, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 7355192?\nAnswer: 66196728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = r - 172. Suppose o = 5*v - 3*o - r, -v - 2*o = -63. List the prime factors of v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 2*s - 1. Let i be l(2). Let p = 21 + -21. What is the closest to p in i, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1713 is divided by 184?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 983 + -1437. Let p be f\/(-18) + (-6)\/27. Suppose -3*k + 39 = -3*j - 6, -2*k + p = -j. Solve 4*l + 2 = -k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(896))\/(sqrt(49)\/(1*sqrt(7))*-2))**2 + -1.\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9984021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l + 2. Suppose -s = 2*r, -3*r = -s - 3*s. Let m be q(r). What is the third derivative of b + b**4 - 3*b**m - b + 0*b wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039583769 rounded to 4 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 5*t**2 - t. Let p be d(5). Suppose -4*w = -w. Which is the nearest to w? (a) 2 (b) 2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101101011101?\nAnswer: 101101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -175357 + 525?\nAnswer: -174632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 (base 10) in base 6?\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2071 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/11 - -1*(-54)\/(-99) - -18001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 446*u**2*w*z + 3*u**2*w - u**2*z - u**2 - 2*u*z - 86*u - 21*w + 3*z wrt w.\nAnswer: 446*u**2*z + 3*u**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 10*p**2 - 10*p + 8. Let q be c(9). Suppose 0*l = -3*l + 3. Put -8, q, l in descending order.\nAnswer: l, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p**2 + 0*p**2 - 6*p**2)*(p - p + 3*p) - 23*p**3 + 38*p**3 + 6*p**2 - 17*p**3 as x + u*p + z*p**2 + k*p**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**2 + 125 + 2*f + f**3 - 69 + 1 + 3*f**3 to the form r*f**2 + b*f + d*f**3 + n and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n - 3, 0 = 4*z - 3*n - 930. Let w = -232 + z. Let x(h) = -8*h - 2. Calculate x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**2*q + 3748607*j**2 + 281*j*q + 150545*j wrt j?\nAnswer: -26*q + 7497214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 7*p**2 + 4*p + 10. Give y(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (sqrt(704) - (-3 + sqrt(704)*-1)**2 - sqrt(704)) + sqrt(99)*4 + (3*sqrt(11)*5)**2 + 4.\nAnswer: -36*sqrt(11) + 1759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - z = -3377, 5675 = 5*d - 116*z + 111*z. What is the highest common factor of d and 1833?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 112 - -4?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from lbfrkfrmkmkf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.03 - 5.43. Which is the nearest to 2\/9? (a) 2\/7 (b) u (c) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10 > 66123\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8687, -8688, -8689, -8690, -8691, -8692?\nAnswer: -8693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*f - 21 = 0, 9 = -y - 0*y + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i**2\/10 + 69739*i\/10 - 1448916\/5 = 0. What is i?\nAnswer: 376\/9, 7707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 2)\/(-1 + 2). Let c(z) = -z**3 - z + 2. Let b be c(y). Suppose 41 = 3*q - b*j, -4*q = -j - 4*j - 64. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*d - 3180, -4*d - 4*p + 2541 = -3*p. Let z(k) = k**2 - k. What is the remainder when (-2)\/9 - d\/(-18) is divided by z(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -52*i + 5. Let u be h(1). Let c = 39 + u. Calculate the smallest common multiple of 5 and (-156)\/(-48) - 6\/c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*t + 7. Put 2, 5, t, 1 in ascending order.\nAnswer: t, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 8*f + 10. Let i be s(8). Calculate the greatest common divisor of 170 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((0 + -1 - 4 - (-1752 + 1786)) + 12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42910655 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*y**3 - y**2 + y**2 - 1364*y**3.\nAnswer: -2033*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -6\/11*o**3 + 0 - 2\/11*o**4 - 2\/11*o - 6\/11*o**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -67 - (-3 + 8 - -5 - (-33 - -54))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17774.588 and 22?\nAnswer: 17796.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0939 and -20?\nAnswer: 1.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.42 + -0.08. Let j = 0 + u. Let h = 1.5 + j. Which is the biggest value? (a) 0.2 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 2:30 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 3)*-1 - 1. Suppose j = -3*o + f + 106, 50 = o + 3*f - 2. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -53443300?\nAnswer: -53443252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29941100 rounded to the nearest 100000?\nAnswer: -29900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -485?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 23*c**2 - c - 2. Calculate q(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 141167 + 4?\nAnswer: 141173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 192*i**2 + 293*i - 7779. Determine m(-94).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 948012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55865, 55538, 55215, 54896, 54581, 54270?\n\"Answer: 2*f**2 - 333*f + 56196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 + 5*z + 8. Let f be s(6). Solve f*x - 6*x = -8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**3 + 4*r. Let c = 20125 - 20125. Let j(x) be the second derivative of 15*x + 0*x**2 - 15\/2*x**3 - 5*x**5 + 0 + c*x**4. Give -4*j(q) - 45*v(q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -3, 0, -580, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178 + -186. Suppose 2*w - 4 = -0. Let i(f) = w + 3 + 6*f - 2*f**2 + 3*f**2. Give i(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -14. Let d be 1\/j + (-2)\/8. Suppose b = 4*b - 3. Solve i - b = -d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 512652 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13*a**2 - 9*a - 32. Let g(q) = -13*q**2 + 8*q + 32. Let c(t) = 6*g(t) + 5*y(t). Differentiate c(v) with respect to v.\nAnswer: -26*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((2 - 0) + (-8 - -16))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42884 - 51?\nAnswer: -42935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*2*sqrt(190)*-3)\/(4*sqrt(810)*2 + sqrt(810) + sqrt(810) + -1*2*sqrt(810)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564 = -2*p - 0*p. Let n = p - 9304\/33. Let s = 37\/66 - n. Sort -0.1, 5, s in increasing order.\nAnswer: -0.1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**3))\/p**(-2\/3)*p**4*p*p**(1\/4) assuming p is positive.\nAnswer: p**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1012\/5 less than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 23*l + 8. Let r be d(7). Let b = r + 64. Solve b = 5*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -k + 9, -82*k + 85*k + 2*l - 13 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 0*r**2 + 1\/3*r**3 + 0 - 5\/36*r**4 + 1\/30*r**6 - 10*r - 2\/15*r**5. Factor o(b).\nAnswer: b*(b - 3)*(b + 1)*(3*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/30 in -2\/5, 3, -0.2, -4, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4109 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, -17, 3\/8, 105 in decreasing order.\nAnswer: 105, 3\/8, -1, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -627378.4.\nAnswer: -62737.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5 - 0. Suppose -4 = -u*f + 6. Let v be f*(0 - 2\/(-2)). Let b(c) = -3*c. Give b(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-6 + 1)) + -2. Let x(s) = 5*s**2 - s - 1. Let f(w) = -1 + w**2 - w + 3*w**2 - 4*w + 4*w. Determine p*x(h) - 4*f(h).\nAnswer: -h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1110 = -g. Suppose 2*s - 7*s - g = 0. What is the units digit of s\/(-8)*(-36)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 383, 383, 373, 347, 299, 223?\n\"Answer: -r**3 + r**2 + 4*r + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1 (b) -2\/11 (c) -0.04 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6689548, -13379100, -20068654, -26758210?\nAnswer: -33447768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let k(n) = n**2 - n. Let p be k(-1). Let b(l) = 3*l**p - l**2 - l**2. What is b(c(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57.6 - -58. Which is the third biggest value? (a) -0.1 (b) p (c) -352\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -16102*a**2 + 581*a. Let z(x) = -83*x**2 + 3*x. What is 3*m(g) - 581*z(g)?\nAnswer: -83*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -114 + 2435333.1\nAnswer: 2435219.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 - 32. Do 99 and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/8 + 61\/24. Let f be -44*(-11)\/(-770) - 3\/(-7). What is the second smallest value in j, -2\/5, f, -3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28153, -28082, -28013, -27946, -27881?\n\"Answer: -y**2 + 74*y - 28226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358368.\nAnswer: 2, 3, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:26 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.11 - -14. Let i = a + 0.1100081. What is i rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - q**5 + 0*q**2)*(-1 + 2 - 3) - 5*q**5 - 6*q**3 + 6*q**3.\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2954*o**3 + 887*o - 887*o + 3063*o**3.\nAnswer: 109*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 48432*z\/5 - 9686.\nAnswer: -2*(z - 24215)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 z when three letters picked without replacement from czczcczcizciicczizc.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -4)\/(35\/14 - 6)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -46*m + 5. Let h(q) = 92*q - 9. What is 4*h(y) + 7*t(y)?\nAnswer: 46*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005255237 rounded to 6 decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + u - 1)*(-22 - 22 + 51).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8646 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 82, 236, 534, 1024?\n\"Answer: 8*m**3 + 2*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 39422194?\nAnswer: -39422186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15194694 divided by -5064898\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 998 and 18463?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123193 is divided by 105?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 12*t**3 - 5*t**2 - 4*t + 2*t - 11 - 14*t**3. Does 31 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, -18, -5 in decreasing order.\nAnswer: 5, -5, -18, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22249500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -772*d**4 + 466*d**2?\nAnswer: -18528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 2*f - 1. Let x(a) = -6*a + 7*a - 2*a**2 + 3*a**3 + 0*a**3. Let p be x(1). Calculate q(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1052 + -1053. Let s = -3 - -6. Let m = -1 + s. What is the nearest to i in 2\/5, 5, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42974)\/(-3))\/(20\/30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -17*j - 448. Let n be q(-27). Solve -4*h - 2*o - 7 = -n, -5*h = o - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from fsssrfsfsrssssfff.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28221396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147118525666 - 147118525666 + 29*l.\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 - -12)*1\/(-2). Let y(b) be the second derivative of 0*b**3 + x + 1\/12*b**4 - b + 0*b**2. Determine q so that y(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q - 41 + 17*q**3 - 1 - 23*q**3 wrt q?\nAnswer: -18*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2.09, -5, 0.1 in decreasing order.\nAnswer: 4, 2.09, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/10776884 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -99*q + 132. Let i(w) = 4*w - 6. Let n(y) = -66*i(y) - 3*s(y). Let m(x) = 6*x. Give m(n(c)).\nAnswer: 198*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.4 + -16.4. What is the second biggest value in l, 1, 3, -0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n**3 + 0 - 19\/12*n**4 + 1\/210*n**7 + 0*n**6 - 7*n**2 + 3\/20*n**5 + 0*n. Find the second derivative of f(y) wrt y.\nAnswer: 12*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 6. Put -2, -3, o in ascending order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + m + 0*m + (-2*m + 5*m + 2*m)*(-2 + 1 + 2).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 13*q + 421588. Suppose 5*y - 3*r = q, 0*r = 2*y + 3*r - 42142. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1151880 divided by -60\nAnswer: -19198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 3*t - 24. Sort -1\/3, 3, t, -3\/5.\nAnswer: t, -3\/5, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4130*j**2 - 3*j**3 + 45*j + 4130*j**2 + j**3 - 2*j**3 + 2*j**3 + (6 - 4 - 3)*(0*j**3 + 2*j**3 - 3*j**3).\nAnswer: -j**3 + 45*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3 + 3549*g - 3548*g + 14. Let z be v(-7). Factor 23\/4*a**2 + 33\/8*a**3 + 3\/2*a - 1 + 7\/8*a**z.\nAnswer: (a + 1)*(a + 2)**2*(7*a - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 48.85. Let k = n - -6. Round k to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - (8 - 7) - -11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6545\/(-2805) - (-20)\/6)\/((-4)\/(-476)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 37*h**2 - 222*h + 5. What is z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 1938?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 b, and 1 c when three letters picked without replacement from bjchcbjjibj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22, 2, 790?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 311*t**4 + 11*t**2 + 380*t**4 - 10*t**2 + (t - 1 + 1)*(2*t**3 - 4*t**3 + 0*t**3).\nAnswer: 689*t**4 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 5. Suppose 10 + 14 = 3*z. Let m be r(z). Let f(h) = -h**2 + 10*h - 9. Let g be f(9). Which is greater: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l\/l**23))))\/(l*(l**(-19)*l)\/l) assuming l is positive.\nAnswer: l**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -7*c + 10*c. What is the remainder when c is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*f + 4*c + 18, 4*f = -2*c + 4. Suppose 4*w = y + 19, w + y - 4 = -f. Suppose 0 = -5*m - 0*m + 100. Solve m = -w*b + 8*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 315*l**2*q**2 + 5*l**2*q + 3*l**2 + l*q - 4*q**2 - 30 wrt q?\nAnswer: 630*l**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9930, 9, 14, -1, -7 in descending order.\nAnswer: 9930, 14, 9, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23b7 (base 16) to base 15.\nAnswer: -2a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 1 (b) -10 (c) -3\/2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1478*o**3 - 107*o - 2959*o**3 - o**2 + 1480*o**3 as z*o**3 + w + j*o**2 + n*o and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2196*j**5 + j**3*p**2 - 2*j**2*p**2 - 2529*j**2*p wrt j.\nAnswer: 131760*j**2 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1571727 and 0.06.\nAnswer: 94303.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002206 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632 = -99*v - 502*v - 297*v - 39246 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 1:58 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -27374988 divided by 6?\nAnswer: -4562498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/(-4*24\/64).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 63 = 10*g. Let b be (63\/28)\/g - (-23)\/12. What is y in b*y**3 - 5\/6 - 25\/6*y**2 + 10\/3*y = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**5 + 5908*m**4 - 2160508*m**3 - 15705284*m**2 + 105874496*m + 755373808 = 0.\nAnswer: -7, 7, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 + 11*q - 7*q - 13*q + q**2 to the form h + s*q**2 + z*q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59419117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1556318.27 rounded to the nearest 1000?\nAnswer: -1556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**3\/x*x)\/x*x)\/x)**11\/(x*(x\/((x**(-2)\/x)\/x))\/x*x**(1\/3)))**(1\/4))**(-48) assuming x is positive.\nAnswer: x**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -317 (c) 54.029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c87 - -4d53?\nAnswer: 9bda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 74\/51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4462487, 4462490, 4462497, 4462508?\nAnswer: 4462523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 1, z: 1}. Give prob of sequence zik.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2529628\nAnswer: -3\/2529628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 14*w + 2208. What is h(-43)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 58 = -12*k - 2*v, 5*k + 85 = 5*v. Let b(a) = a + 14. Give b(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/((-225)\/(-54)))\/(((-84)\/(-68))\/7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1741\/2, -4, 4, 3.8 in decreasing order.\nAnswer: 4, 3.8, 0.1, -4, -1741\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 3. Suppose -6 - 4 = -2*a. Suppose -2*c = -a*c + 9. Let n(w) = -5*w + 8. Let u(y) = c*n(y) - 8*f(y). Let k(d) = -2*d**2. Determine u(k(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -1, 0.35, 5\/6?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Let i(u) be the second derivative of -u**3\/6 + u**2 - 4*u. Calculate i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -43, -17, 27, 95, 193, 327?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*w - 1, -1 = w - 2*w. Let f(s) = -16*s - 1. Let l be f(o). List the prime factors of l\/3 + (0 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1, 2\/43, 11, -2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*o**4 + 53 - 53 + (-29 + 29 + 8*o)*(o**3 + o**3 - 3*o**3).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43246 and -30.\nAnswer: -1297380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 14. Which is the closest to -2\/9? (a) -1\/4 (b) -3\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/(3*4\/2613966). Suppose 3*b - 1274677 = d. Suppose -b = -w + 2*y + 477680, 0 = -5*w + 3*y + 12499994. Round w to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1932.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**28)**(12\/11)*(h\/h**(-2\/5))\/h*h**3*(h\/(h*h**(-2\/11)))\/(h*h*(h\/(h\/h**1))\/h*h*h*h*h) assuming h is positive.\nAnswer: h**(-1813\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -222 + 235. Let m be g\/3*3 + -3. Solve 4*f - 2 = m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from dwrwzzzzyyw?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i. Let r = 414 - 404. What is the least common multiple of b(6) and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3 - 6012*f**2 - 102858*f + 229748 = 0. What is f?\nAnswer: -19, 2, 3023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g**3 + 5\/4*g**4 - 3 + 0*g**2 - 5*g. Find the first derivative of k(p) wrt p.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4*i = -9*q + 5588, 4*q + 5*i = 7450. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-6 - -1) - -1. Let v be (2\/(-8) + -1)\/(c\/4). Let w(t) = -t + 5. Let x(s) = 2*s - 8. Let d be (2\/1)\/((-1)\/(-4)). Calculate d*w(j) + v*x(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*-3*sqrt(5) - (sqrt(5) - sqrt(160)\/sqrt(8))).\nAnswer: 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10301?\nAnswer: 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -417*i**3 - 3*i**2 - 11*i - 34. Does 11 divide j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41727, 65775, 89837, 113919, 138027, 162167, 186345, 210567?\n\"Answer: r**3 + r**2 + 24038*r + 17687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 6. Suppose -2*l + b = -l. Do -2\/9 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10\/9 (b) 0 (c) -293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - b + 4. What is the least common multiple of p(0) and -5 + -4*1*(-406)\/116?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmjzzzyzzzmx. Give prob of sequence jx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858.0832km to millimeters.\nAnswer: 858083200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-7 - -3))*-1. Let t = 3 - u. Find the first derivative of -18*w + 14*w - t - 12*w wrt w.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10*q = -320. What is the greatest common divisor of q and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.049 + 55.049. Let q = f - 54.3. Round q to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 7\/(21\/12). Let g(x) be the second derivative of -2*x**3\/3 - 5*x**2\/2 + 2*x. Calculate g(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707 greater than 26527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 13. Let s be r(19). Let a = 26 - s. Let y(h) = -h**3 - 2*h**2 + 4*h + 7. Is y(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 111000?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t - i - i, 0 = -5*t + 4*i + 11. Let a(k) = -15*k**3 - k - 1. What are the prime factors of a(t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 7. Suppose 5*f = -4*a + 14, a = -f - 1 + 3. Let j be w(f). Let k(v) = -3*v**2 - v - v**2 + 274 + 2*v**2 + v**2 - 267. What is k(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 469*k**6 + 2*k**4 + 5*k**3 + 692*k**2 + 26*k?\nAnswer: 56280*k**3 + 48*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 8*k - 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9617.05s?\nAnswer: 9617050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 87*z**2 + 25*z**2.\nAnswer: 112*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1545\/(-309))\/((1*-6)\/(-1)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 623376 (b) -2\/9 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) -7 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2541*t - 15242. Let s be q(6). Let v(p) = -p - 7. Let z be v(-7). Solve z*w - i + 3 = 3*w, 0 = s*w - 3*i - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650094*b**3 - 649901*b**3 + 1299986*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/32 and -61\/57728?\nAnswer: 57728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 7*l**3 - 5*l**3 + (2 - 2 + l)*(-5*l + 3*l**2 + 5*l) to the form h*l + m*l**2 + o*l**3 + k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r + 9. Let n(h) = -3 - 2 - 2*h + h + 4*h. Calculate -5*n(v) - 3*o(v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29561 take away 0.3?\nAnswer: 29560.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - -1) + -11 + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 262\/5541521?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-736)\/48)\/23)\/(4\/90)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -53?\nAnswer: -12\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 329*j**2 - 9*j - 7. Is p(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91215 is divided by 10082.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*r, 12*s + 28 = 10*s - 3*r. Suppose f - 2*f = -13. Put 0, s, f in descending order.\nAnswer: f, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/(8\/20)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 4 + 5)*(-k - k + k) - k - 2*k + 2*k + (2 - 4 + 0)*(0*k + 4*k - 3*k) - 2 + 2 - 2*k)*(-2 + 0 + 1) as g + v*k and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 567*p**3 + 570*p**2.\nAnswer: -3*p**2*(p - 1)*(p + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + -20 + -6 + 3. Let i be 1\/(-3) + p\/(-12). Put 1, -2\/7, i, 1\/3 in decreasing order.\nAnswer: i, 1, 1\/3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5472 + 7968. Suppose -2*w - n = -5*w. Let i be (w\/3)\/((-2)\/(-375)). What is i rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2639 - -2641. Suppose 0 = -4*l - 3*n + 59, -6 + 0 = 2*n. Suppose -3*s + 8 - l = 0. Put i, s, -5 in descending order.\nAnswer: i, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 3. Suppose -3*q = -18*q - 30. What is o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 33*z**2 + z + 1. Let a(p) = p**3 - 6*p**2 + 6*p - 6. Let s be a(5). What are the prime factors of t(s)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 50.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 7*r**2 + r - 5. Let l be p(-7). Let i = 8 + l. Suppose 0 = -x + 5*x. Sort x, i, -3 in ascending order.\nAnswer: i, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*d - 56, -4*d - 4 = -3*d + 2*o. Let l = d - -27. Let q = 8 - 5. Solve 8 = -q*u + 2*r, 4*u + l = -u + 5*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esl when three letters picked without replacement from swylewl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, n: 4}. What is prob of picking 1 n and 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2169 or -1029?\nAnswer: -1029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -26*a - 78, -4*a + w + 305 = -3*a + 352 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 11*s - 56. Suppose 1380 = -116*y - 244. Determine c(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1491283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4, -1\/3462, -2, 0.07, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21784, 87163, 196136, 348709, 544888?\nAnswer: 784679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 2*y + 1. Let l(o) = o**2 + o. Calculate 2*b(i) - 5*l(i).\nAnswer: i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14748036 and 10716.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -76 + (-23 - -34) + -2 + -7 + -2\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2047935115442.4 - -0.4\nAnswer: 2047935115442.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {j: 9, d: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Suppose z - a - 1 = n, -2 = -0*a - 2*a. Solve 0 = 5*l + z*y + 2*y + 25, -3*l - 4*y - 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8151 and 143?\nAnswer: 8151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2\/7 (c) -14433819\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14*z**2. Let n(l) = -12*l - 694*l**2 + 17*l + 894*l**2 - 5*l. Give t(n(i)).\nAnswer: -560000*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 50. Determine v(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 116*o**3 - 26*o**2 - 22*o - 122. Let m be a(-12). Round m to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -786.14392 to one dp.\nAnswer: -786.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*i - 12 = r, -2*i + 12 = 4*r. Suppose 117 = r*z - 39. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -i - 25, -l + 4 = -3*i + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Suppose 0 = -a*b + 2*s + 14, 4*b + s + 2*s = -7. Suppose 0 = 3*v - 2*j - 453, -b*v = -3*j - j - 310. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23\/11 + 316\/33. Let w = 73013\/17526 - -2\/2921. What is the common denominator of q and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/3 + (-1)\/(-1). Let v = -63805.6 - -63805.5. What is the closest to 0.1 in v, -0.2, -3, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -435.\nAnswer: -217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5)\/(l*l**(3\/7))*(l\/l**0)**14)\/((l\/l**(-3\/7))\/(l**2*l)*((l**(-2\/7)\/l*l*l)\/l*l)\/(l**(4\/5)*l)) assuming l is positive.\nAnswer: l**(526\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 40\/(-10))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 11. Let j be f(0). Suppose -14*t + j*t = 0. Suppose 1 = l - t*l. Which is the nearest to 1? (a) -0.5 (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80935.83 centuries in months?\nAnswer: 97122996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3835, 3817, 3789, 3745, 3679, 3585, 3457, 3289?\n\"Answer: -p**3 + p**2 - 14*p + 3849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 578*q**2. Let l(z) = -2*z**2. Give l(g(s)).\nAnswer: -668168*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1750 and 79960.\nAnswer: 13993000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/14 - 6\/(-21). Suppose -3*w = 2*g - 2, r*w + 4*g - 4 + 0 = 0. Is w greater than or equal to -2\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*s - 218*s + 3*k - 23 = 0, -3*s = k - 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:25 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -2*g**7\/105 - g**5\/3 - 139*g**4\/24 - 37*g**2. What is the second derivative of k(o) wrt o?\nAnswer: -48*o**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (40\/(-14))\/(63\/(-10143))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 + 5.07. What is the second biggest value in 1\/2, w, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**2 + 7*s**2 - 3*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -324*o*w**3 - 5*o*w**2 + 14*o*w - 28*w**3 + 283*w**2 + 2 with respect to o.\nAnswer: -324*w**3 - 5*w**2 + 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 11:26 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -333*o - 3*o + 384136 - 113992. Calculate the remainder when o is divided by 87.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1501 - 5787 + 43)*(-7*t**2 + 7 - 7).\nAnswer: 50715*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 149893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269397458?\nAnswer: 2, 11, 277, 44207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*w**3\/2 - 13745*w**2\/2 + 514145*w + 147460 = 0. Calculate w.\nAnswer: -2\/7, 101, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 11*x**2 - 9*x - 4. Let z be o(10). Suppose -w + 17 - z = 0. Calculate the highest common divisor of 66 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -48*f + 708. Calculate y(13).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5683668 to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*h + 8 - 2 = 0, 2*h = -m + 5. Let j(n) = 34*n**2 - n + 1. Suppose -3*z - 4*z = -84. Calculate the remainder when j(m) is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 6*j - 5. Suppose -5*f - 4*h = 5, -f = 2*f - 5*h + 40. Determine q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2401, -2370, -2341, -2314, -2289?\nAnswer: -2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -28*r**2 - 4*r - 60. Let y(c) = 17*c. Calculate m(y(x)).\nAnswer: -8092*x**2 - 68*x - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 929752648.\nAnswer: 929752648.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 0*k**6 + 0*k**2 + 0*k**3 + 12*k - 1\/21*k**7 + 0*k**5 + 0 + 1\/12*k**4. Find the third derivative of s(o) wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 210308 or 207225?\nAnswer: 210308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 211*b - b**2 - 637*b - 841*b + 2*b**3 - 3*b**3.\nAnswer: -b**3 - b**2 - 1689*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0578 (b) 3 (c) 0.02 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/8)\/((-2)\/(-15) - 3427\/8940)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 74 = 106. Let p = v + 6. Is -14 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/6 + (-1)\/3. Let q = -75 + 79. Which is the smallest value? (a) q (b) 0.12 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w - 2. Let t be p(2). Suppose -5*u = 2*d - t, 0 = -3*u + 2*u + 4*d + 4. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13811 + 13811. What is the third smallest value in r, -0.1, 1544?\nAnswer: 1544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**6\/9 + 8*k**5\/15 + k**4\/3 - 16*k**3\/9 - k**2\/3 + 8*k\/3 - 733. Solve c(z) = 0 for z.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005479 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 159 + n + 16*n**2 + 3*n.\nAnswer: 16*n**2 - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -187 or -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 5 (c) 2\/9 (d) 481 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-84)\/(-91))\/3)\/((-4)\/2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*x + 91*x = -281*x - 37245 for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14147 and 4396.\nAnswer: 8884316","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**7\/3 + b**4\/6 + 9*b - 11. Let r(u) be the first derivative of l(u). What is the third derivative of r(w) wrt w?\nAnswer: 840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 198 + -198.000001359. What is i rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*l**3 + 412*k*l**2 + 5*k*l*x**2 + 3*k - 2*l**3*x**2 - 4101*l**3 wrt l.\nAnswer: -6*k - 12*x**2 - 24606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -4, 139062, 1\/3, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 3, h: 1, c: 1, u: 1}. Give prob of picking 1 c, 1 h, and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2081*z + 25*z**3 + 2081*z.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3407327 is divided by 9568.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**2 - 2*y**2 + 0*y**2 - 7*y. Let j(t) = t**2 - t. Suppose -5*m + 41 = -99. Let c be -27*9\/(-162)*40\/(-15). Give c*d(p) + m*j(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 348909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v + 132*v = -399*v - 6012 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/((42\/182)\/(-3)) is divided by 2\/4 + (-21)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 + 4152*d. Let i(b) = -89443*b**2 - 89434*b**2 + 178878*b**2. Calculate w(i(l)).\nAnswer: 3*l**4 + 4152*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 32*i = -10. Let l(f) = f**2 + 3. Determine l(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -16*i - 137. Let x be t(-9). Let v(b) = 2*b + 3. Give v(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 330444*k**3 - 269430*k**2?\nAnswer: 1982664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(16\/5)*j)\/j**(-14))**(-19))**(-14) assuming j is positive.\nAnswer: j**(24206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -395 - -1145\/3. Calculate the common denominator of x and -27\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4764849413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*k + 193*k = -1506*k - 36921 - 22885 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3609 is divided by 214.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67352750 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**4 - l**3 + 184395*l**2 - 828327*l wrt l.\nAnswer: 12*l**2 - 6*l + 368790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65 - 42a6?\nAnswer: -430b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/4)\/z**(-2)*(z**2\/z)\/z*z**(-1\/6)*(z**(-1\/4)\/z)**(-24)*z**(-3)*z*z\/(z\/(z\/z**4)) assuming z is positive.\nAnswer: z**(313\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 4. Let x = u - 0. Let n(t) = -12*t**2 + 5*t - 2. Let y(b) = b**2 - b + 1. Let i(k) = x*y(k) + n(k). Differentiate i(q) with respect to q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 10 = -2*g, 2*p = 69*g - 72*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 56\/3*t**3 + 17\/5*t**5 + 0 + 0*t - 10\/21*t**7 - 82*t**2 + 17\/3*t**6 - 58\/3*t**4. Solve u(b) = 0.\nAnswer: -1, 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**(-9)*o**(-1)\/(o**(7\/4)\/o) assuming o is positive.\nAnswer: o**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 15*g**2 + 5*g - 225. Let b(n) = -2*n**2 + 3. Let r(z) = -5*b(z) - t(z). Factor r(o).\nAnswer: -5*(o - 6)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -19)*(-28)\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-80)*6*10\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*c**2 - 63*c**2 + 100*c**2 - 34*c**2 + 54*c**2.\nAnswer: 101*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 smaller than -92190\/1609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/11 + 848*f**3\/11 + 608*f**2 + 13312*f\/11 = 0.\nAnswer: -416, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 - 0.13. Let s = -2\/97 - 176\/873. Which is the third smallest value? (a) 0.2 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3 - 13. Suppose -4*t - 2*l + z = -t, l + 10 = 4*t. Suppose -t*x - 12 = -4*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 1 + 0 - 1.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949295?\nAnswer: 5, 189859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56*b + 9*b - 6*b)*(6*b - 6*b - 2*b**2) as i*b**3 + l + q*b**2 + v*b and give i.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -555 + 558. Suppose -5*v + 540 = -a, -n*v + 14*a = 9*a - 324. Calculate the highest common divisor of 144 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -13. Suppose t + 3*t - 67 = k, 0 = -5*t - n*k + 90. Suppose -2*l + 137 + t = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-3))\/8)\/((-3)\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1102001?\nAnswer: -1101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25933660 to the power of 1\/2, to the nearest integer?\nAnswer: 5093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 25 + 24 - 70 - 3*n**2 + 21. Let t(x) = -356*x. Give l(t(y)).\nAnswer: -380208*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Add 16561591 and 4.35.\nAnswer: 16561595.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*j + 8, 0 = n - 5*j + 2 + 17. Solve -n*q + q + 15 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280 - 116. Let w = -233 + v. Calculate the remainder when (1\/3)\/((-1)\/w) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 91 + f?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3975, -3.9, 2\/3, 0.2, 11, 2\/9 in decreasing order.\nAnswer: 11, 2\/3, 2\/9, 0.2, -3.9, -3975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3096, -12225, -27132, -47565, -73272, -104001, -139500?\nAnswer: -179517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(175) + 2 + -2)*-6)**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2*x**3\/3 - 30*x**2 - 352*x + 629. Suppose j(f) = 0. What is f?\nAnswer: -22, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -35\/6*s**3 + 1\/4*s**4 - 3\/10*s**6 + 0*s**2 + 1\/20*s**5 + 0 + 115*s. What is the third derivative of h(c) wrt c?\nAnswer: -216*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-52) + (4620\/624 - 10). What is the nearest to 0 in -0.5, m, 6\/31?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.61 - -1.6. Let y = t + -0.99. Let z = 45 + -46.2. Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 2*o. Is 9 a factor of 9\/2*(3 - o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-884)\/(-3060))*3\/20.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 5*j**2 + 4*j + 5. Let x = -36 + 40. Suppose 28 = 4*d - x*i - 48, 0 = -2*i + 8. Let r = d + -19. Determine k(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000669127 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-2) + 229244\/(-8028)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-5))\/(-3*(-6)\/90). Solve -5*h - 2 = -3*s, -4*h + 5*h = -5*s - j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 141. Let j(b) = -9*b - 409. Let p(m) = 17*i(m) - 6*j(m). Let s(n) = n - 1. Calculate p(x) - 2*s(x).\nAnswer: x + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115713)\/(-143))\/(-23) - -35?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -2*m + 0*m**5 - 1\/2*m**2 + 0*m**3 + 0*m**4 + 0 - 1\/5*m**6. Differentiate p(r) with respect to r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t + 47. Determine x(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392127.5nm to centimeters.\nAnswer: 0.03921275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1289.7 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa1 (base 13) to base 16.\nAnswer: 71d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3054917*z - 21384414. Determine i(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phw when three letters picked without replacement from hpw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/151813764 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38766858 to the nearest integer?\nAnswer: 6226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, -2, -1 in descending order.\nAnswer: 12, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -613181.\nAnswer: 55186.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(186\/(-155)*10\/(-8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 0*h**2 + 0*h**5 + 3 + 23\/4*h**4 - 2*h - 17\/3*h**3 + 1\/3*h**6. Find the third derivative of v(f) wrt f.\nAnswer: 120*f**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 412 + -369. Suppose -93 + r = -10*i. Solve -10 = 5*a - 10*a, -13 = -o - i*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*8\/(-20))\/(5\/25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*j**3 - 44065*j**2 + 315163*j?\nAnswer: 48*j - 88130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 5*k**2 - 4*k + 2. Let z be f(2). Suppose b = -5*d - 0*b + 43, 2*b - z = 0. Let c = d + -6. Solve i = 2*i + c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1750392, -1750394, -1750396, -1750398?\n\"Answer: -2*i - 1750390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {m: 4, i: 2, h: 2, c: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 3*o + 9*o**3 - 22*o**3 - 7*o**3 - 3*o**3.\nAnswer: -19*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1660*k**3*p*q*y - k**3*p + 2*k*p*q*y + 328*k*p*y + 9*k*y - 4*p*q + 2 wrt q?\nAnswer: -1660*k**3*p*y + 2*k*p*y - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 140 * 25216.\nAnswer: 3530240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*11\/(-3))\/((-270)\/810)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -16. Let f = -0.2 - -0.2. What is the third smallest value in l, 0.1, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -0.024.\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209.22 + -209.42. Which is the third smallest value? (a) v (b) -1095 (c) -4 (d) -3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -67. Suppose -5*z = -v - 0*v - 1, v + b = -z. Suppose z = 4*t - 52. Calculate the remainder when 50 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/12 - (-5)\/30. Let g = -12 - -27. Suppose 3 = -4*p + 15, g = -2*s + 5*p. Solve 4*w + 2*m + 16 = 0, s = -w - t*w + m - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*w**2 + 6 - 6 + 194*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99820 is divided by 107?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620287080 divided by -12658920.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -5*l + 3. Let p be (-4)\/l + (-115)\/(-25). Solve 2*c - 5*b = p*c + 1, 0 = 4*b + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:47 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 9744362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*l + 328 = -276*l. Suppose 6 = -d + 5*b, 2*d - 16 = -b - 3*b. Solve l*o + 6 = d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2 + 6. Let w = 0.12 - 2.32. Let j = w - -2. Which is the second biggest value? (a) -4 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795944.\nAnswer: 2, 3, 74831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9059854 to the nearest integer?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c**2 + 747. Let z(o) = -o**2. Determine u(z(l)).\nAnswer: 13*l**4 + 747","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15708626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7*i + 3*i = 0, -i = 3*x. Let o(s) = s**3 + s**2 + s + 4. Let p be o(x). Let r = -19 - -16. Sort -2, p, r.\nAnswer: r, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**2 - 2*y - 9. Let k(p) = -9*p**2 - 3*p - 15. Let i(u) = -5*f(u) + 3*k(u). Let z = 139 - 141. Give i(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28671791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(((8448\/16)\/16)\/111).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 772776, 1545526, 2318254, 3090960, 3863644, 4636306, 5408946?\n\"Answer: -11*b**2 + 772783*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 450437385?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}