diff --git "a/data/dm_maths/full_data/1243_11255.jsonl" "b/data/dm_maths/full_data/1243_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1243_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 24*n + 15 = 27*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*v + 57 = -619, 5*v = 0. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*a - 7*a. Determine r so that -4*r**2 - 3*r**2 - 7*r**2 + 9*r + a*r**2 + 3 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = 11 + 54 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/81)\/(38\/513)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28203 and 6636.\nAnswer: 112812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 149503.7 centuries in millennia?\nAnswer: 14950.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 54 = -2*h + m, -h - 24 = -5*m. Which is smaller: h or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064818757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-197498)\/(-22) - ((-14)\/(-77) - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-32))\/((-81)\/18)*32\/60?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-36) - (-789)\/81*-3. Let z = n - -50. Solve 0 = 2*q - 2*l - 12, z = 5*q - l - l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29246223?\nAnswer: 3, 9748741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 537*p + 24702. Calculate v(-46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -33.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3 + 20*d**2 + 34*d - 56 = 0. Calculate d.\nAnswer: -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.5 - -2.5. Let c = 11 + x. What is the nearest to 1 in -0.4, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.93 * 50.4501\nAnswer: 955.020393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(170)*-6)\/(4*2*sqrt(810))*-1.\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4064 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -2, -978?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.801146 + 1.8. What is s rounded to 5 decimal places?\nAnswer: -0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**2 - a + 9. Let t(g) be the first derivative of -10*g**3\/3 - g**2\/2 + 13*g - 2. Let i(z) = 5*t(z) - 7*v(z). Give i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 8\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 + 6*q + 1. Let w(n) = -n**2 + 2*n. Calculate -r(a) + 2*w(a).\nAnswer: -6*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 94 + 23 + 41*s + 20 + 20 as i*s + d and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 20 = 0, 5*z = -2*o + 3*z + 22. Sort 1, 3, o in decreasing order.\nAnswer: o, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 7*a**2 - 9*a - 1. What is the units digit of d(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 15*i**2 - 23*i + 26. Give t(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 158 = -654. Let d = -60 - v. Suppose 3*t - 4*l = 21 + 28, 4*t - 55 = -5*l. Solve -3*g - d*g = t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.717887ml?\nAnswer: 0.000717887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 19*h + 31. Suppose 2*y - 6*y = -5*f - 665, y = f + 165. Suppose -7*z - z + y = 0. Calculate the smallest common multiple of x(z) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o - 18 + 178. Let s = 25 - o. Suppose -3*r = -s*r + 80. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 12*t**2 + 4*t. Let m(n) = 834*n. Calculate m(b(f)).\nAnswer: 10008*f**2 + 3336*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/11 or -184?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*t**3 + 6*t**2 + 27430*t - 27432*t - 4*t**2 to the form a + m*t + q*t**2 + d*t**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebzelllllelkzkl. Give prob of sequence zb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1200000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25375384 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*p + 2*n - 25, 2*p - 3*n + 9 = 0. Let j be 2 + p + (3 - 2). Let s be ((-3)\/j)\/(2\/(-4)). Which is bigger: 1\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 116582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1022.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29214*r**2 - 8*r - 11958*r**2 + 8*r.\nAnswer: -41172*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**5\/20 - 449*f**2. Let l(v) = -52*v**2. Calculate l(d(w)).\nAnswer: -468*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -83047 less than -3?\nAnswer: 83044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22545 and 13026?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**4 + 3*a**3 - 12*a**4 + a**3)*(-127*a + 43*a - 2 + 30*a).\nAnswer: 108*a**5 - 212*a**4 - 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 - 4*z**3 - 2*z - z**4 - 3*z**2 + 4*z**2 + 0*z**2 to the form h*z**4 + k*z**3 + v*z**2 + j*z + r and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t - 2*s + 1 = -23*t, 3*s - 12 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-156)\/(-24))\/(2\/(-4)). Let q = -11 - c. Suppose -3*l = -4*i + 4, 4*l = -q*i + i + 20. Solve -i - 4 = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3028798913\/22600707 + -509\/81591. Let u = r + -134. Is -1 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3425.44 rounded to the nearest 10?\nAnswer: -3430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*a - 170*a + 67*a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 113*c**2 - 28*c**2 + 7739.\nAnswer: -134*c**2 + 7739","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2. Let v(j) = 28*j**2 + 8. Give a(v(b)).\nAnswer: 1568*b**4 + 896*b**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-873) + 584\/28324.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 5*s + 1. Let m be b(-4). Suppose 2*c - 70 = 4*y - 194, -3*y = 2*c + 96. Let l be (((-3)\/(-9))\/1)\/((-3)\/c). Solve m*r + 9 = -l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 183698158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000592375 to six dps.\nAnswer: -0.000592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 4*k + 7. Let o be f(6). Let y(p) = -2*p**2 - 4*p + 3. Determine y(o).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.5 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -6*b**3 - 133298*b**2 + 2356840*b + 800424 = 0.\nAnswer: -22234, -1\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6) + 4 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*x + 375, -3*h + 4*x + 190 = -h. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + -2*1*sqrt(17) + sqrt(204)\/sqrt(432)))**2*3.\nAnswer: -396*sqrt(17) + 6279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224039513?\nAnswer: 101, 2218213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -9)\/(1\/2). Let w be ((-8)\/20)\/(1\/j). What is the highest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1153534 + 1?\nAnswer: 1153535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001210201 - -1000?\nAnswer: -1001202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 14*w**3\/3 + 1. Let f(p) = -p - 8. Let n(x) = x + 10. Let a(y) = -5*f(y) - 4*n(y). Calculate a(o(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 35*q + 279. Give d(0).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99512*s**2 - 2*s + 164281*s**2 + 2*s.\nAnswer: 263793*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55\/18 + -32\/9. What is the closest to 2 in 3, z, -0.16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q = -26*q + 176. Let o(p) = -q*p + 84*p - 43*p. Let t(d) = 12*d. Calculate o(t(w)).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - 50*a - 48. Give v(-13).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1776492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1712104 and 37\/68.\nAnswer: 1712104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/9 - (-2)\/3. Let f be ((0 - s)*0)\/(-2). Does 9 divide f - (3 + -5) - -25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1395, -3299, -5583, -8241, -11267?\n\"Answer: d**3 - 196*d**2 - 1323*d + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 22*t**2 - 1 - 20*t**2 + 2*t + 0*t. Let m be y(-2). What is the third derivative of 2*j**3 - m*j**2 + 7*j**3 - j**2 wrt j?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 6*c**2 + 6*c + 3. Suppose 4 - 100 = -3*s - 2*m, -4*m = -12. What is the remainder when s is divided by q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 2}. Give prob of sequence xxi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20880 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 + 17730*t**2 - 3*t - 17730 = 0. What is t?\nAnswer: -5910, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 6. Let g be a(-6). Let r be g*(-1 - 9\/(-6)). Solve r*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgggyguugmmgygg. Give prob of picking 1 g and 1 m.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3347 and 18\/215.\nAnswer: 719605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4254727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 26765840316293 + 26765840316293.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 6*o = 3. Let k be o\/2 + (-48165)\/(-26). Suppose 919 = n + n - 5*b, -5*b - k = -4*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 times -0.4?\nAnswer: 168.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 118575 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1183803264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -130*v**5\/3 - 13342*v**4\/3 - 62966*v**3 + 498670*v**2\/3 - 398300*v\/3 + 34000 = 0.\nAnswer: -85, -20, 3\/5, 10\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 24 = i. Calculate the highest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 164b6?\nAnswer: -164b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1163 + 15*j + 2 - 1161 - 7.\nAnswer: 15*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 3*k. Let v = 11 + -16. Let p be j(v). Solve 15 = -0*x - 5*x + 2*c, p = -5*x - 5*c - 50 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 76 = 5*f - 3*f, -4*f - 3*r = -130. Let x be f\/(-30) + 1 - (-288)\/135. Let j(p) = -5*p**2 + p - 1. Give j(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 145*s = 126*s - 565, 2*s + 71 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79, 155, 233, 313, 395?\n\"Answer: g**2 + 73*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7336 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 - (-6)\/24. Suppose 2*w + 10 + 2 = f. Let x = w + 13. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/3 + 28*u**4 - 904*u**3\/3 + 1110*u**2 - 1683*u + 846.\nAnswer: (u - 3)**3*(u - 1)*(u + 94)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1137607 and 341.\nAnswer: 12513677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 equal to -1.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.141 - -0.159. Which is the third biggest value? (a) -5 (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30139?\nAnswer: 30139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1037\/14946 - -5\/318. Is 1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*g*w**4 - 94*g*w**3 - 301*g*w**2 + g*w + 5*g + w**4 - 52*w**3 - w**2 + 67*w wrt w?\nAnswer: -288*g*w - 564*g + 24*w - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 2 - (3 + 0). Suppose 4*q = 5 + i. Suppose 28 = 3*x - 3*r - q, -2*x - 4*r = -26. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47117)\/(-381) + -123 + ((-4)\/22 - 2454\/4653).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 + -4 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1397 and 355695758?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)*z\/(((z*z**(-1))\/z*z)\/z)*(z**0)**(-1\/4) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 3*q - 6 + (10*q + 2*q - 4*q)*(0 - 1 + 0).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -427326 (base 9) to base 11.\nAnswer: -164395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:51 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8181, 8186, 8193, 8202, 8213, 8226?\n\"Answer: q**2 + 2*q + 8178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1312, 3811, 7502, 12385, 18460?\nAnswer: 25727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**5\/2 + 31*r**4\/2 - 95*r**3 - 383*r**2 - 833*r\/2 - 289\/2 = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-217)\/35 + 14\/2 + -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23355?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*l + 1 + 3448*l**2 + 1310*l**5 - 3451*l**2 + 616*l**5 - 98*l + 1799*l**5 wrt l?\nAnswer: 223500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 9*h + 2. Let b be n(-9). Suppose 3*m = b*y + 64 - 261, -3*y - 2*m = -302. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htin when four letters picked without replacement from {f: 1, i: 4, h: 1, n: 3, d: 1, t: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -967*u + 988*u = 33600. Calculate the highest common factor of u and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3127\/1646 or -3?\nAnswer: -3127\/1646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120111220111 (base 3) to base 11.\nAnswer: -199491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from hqqhhhhhhqhqqhhhhh.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s + 9 - 178 - 781 = 0 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-15))\/((-4)\/6). Suppose -y*c + 2 = 3*o - 11, 3*c - 18 = -4*o. Find the third derivative of -8*n**3 + 0*n**2 - 5*n**c + 3*n**3 + n**2 wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**6\/120 - m**5\/60 + m**4\/24 - m**2. Let r = 3 + -1. List the prime factors of s(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1872*v**2 - 175*v.\nAnswer: -v*(1872*v + 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 4\/7, 6, -222?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 5*m + 67. What is k(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**3 - 612*j**2 = 0.\nAnswer: 0, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214 divided by -4?\nAnswer: -1107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2503900 rounded to the nearest ten thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/7 - 260*k**3\/21 - 2242*k**2\/7 + 4740*k\/7 + 5351. Suppose d(h) = 0. What is h?\nAnswer: -15, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192867 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10746480 and 0.3.\nAnswer: -10746479.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 10. Suppose -3*k - 2 - m = 0. Let r be (-9)\/(-9) + (k - -1). Solve -v = -r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 5. Let b(d) = -2*d**2. What is n(b(x))?\nAnswer: 2*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108*z + 362*z + 377*z + 363*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22561969455278132 + 22561970793035687.00000124. Let h = -1337757638 + k. Let j = h - -83. Round j to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*d = 5*n - 140*d - 16, 0 = -3*d - 4 + 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 370256507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 460.98 + -469. What is u rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 z when four letters picked without replacement from {n: 4, z: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3546 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -435759924.19200947 - -435759922. Let h = y + 2.192. What is h rounded to seven decimal places?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 73.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15b (base 15) in base 3?\nAnswer: 102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j + 10. Let g be u(5). Let q = g + -28. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-10)*4*2\/(-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4010 divided by -1\nAnswer: 4010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*b = -987*b - 50076 + 300588 for b.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38428 - -55811. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 23*c - 62. Let n be l(18). Suppose 0 = -n*w + 348*w + 4040. List the prime factors of w.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l - 6. Let k be x(-5). Let u = -120 + 117. Put k, 2\/3, u in ascending order.\nAnswer: u, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138412, 276809, 415208, 553609, 692012?\nAnswer: 830417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**6\/2 - 5*q**3\/3 - 7. Find the third derivative of y(t) wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 + 3 = 0. What are the prime factors of -2 - 0 - (-18 + w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*g - 20, -5*g - 4*t - 29 = -0*g. Let u(x) = x**3 + 5*x**2 + 7. Is u(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 10*f + 11. Suppose 0 = 5*h - 252 - 348. Let c be 6\/(-14) + h\/(-14). List the prime factors of z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -122535 - -717?\nAnswer: -121616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 71*a - 1202. Calculate the remainder when 623 is divided by y(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*w - 28 = 0, k + 3*k = -4*w - 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2451 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 42. Let h = -178 - -271. Let a = -82 + h. What is the remainder when x is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 24 - (0 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/10)\/((-4)\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + c024a?\nAnswer: c0249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58590, 117193, 175796?\n\"Answer: 58603*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 13 - (-3 + 6)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8444335 by -485.\nAnswer: 17411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -262045 - -262045. Suppose o - 7\/2*p - 1\/2*p**2 = 0. What is p?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-12 + 18 + 43) - -17) + 10 + -2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -b7?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2. Let d(t) = -206 + 406 - 201 - 67*t**2. Determine g(d(r)).\nAnswer: 8978*r**4 + 268*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*n - 59. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 60 = 8*s - 13*s - 0*d, -2*d - 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 8 - 8 - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -6, 3\/8, 6, 0.13, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Factor n**3 - 4*n**3 - n**y - 6*n**4 - 2*n**5.\nAnswer: -3*n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 193\/(-11) + 11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124065.\nAnswer: 3, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)\/c*c**7)**24 assuming c is positive.\nAnswer: c**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:43 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065 (base 12) in base 14?\nAnswer: -92d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**3*u**2 - 4*b**3*u - 15*b**2*u + 10*b*u**5 + 2*b*u wrt u.\nAnswer: -8*b**3 + 200*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33.259 and -16.\nAnswer: -532.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3169865 and 10065?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/96 and -157\/180?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w + 21. Let s be j(20). Let b = -156 + s. Suppose x + 0*x = 100. What is the highest common divisor of x and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 983885732.\nAnswer: 983885729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/2 + ((-465)\/31 - -16050)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -338, -229, -110, 25, 182, 367, 586, 845?\n\"Answer: q**3 - q**2 + 105*q - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*x - 10, -4*f = -5*x - 5*f + 21. Solve -s - 2*g = 3, -3 = -4*s + 5*s + x*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 8*i + 1. Let u be v(-7). Suppose 0 = 3*q + 3*k - 9, -34 + 31 = -q + 4*k. What is n in 15 + u*n**2 - 21 - 5*n + 6*n**2 - q*n = 0?\nAnswer: -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3630780 to the nearest integer?\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 5*r + 66. Let n be b(11). Suppose 4*i + 2*q = 14, -5*i - 5*q - 2 + 27 = n. Solve 3*o - 8*o + 20 = 2*f, -8 = -5*f - i*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + 5*h**2 + 2*h + 3. Give u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l - 2*l)*(96*l - 124*l + 167*l)*(2 + 0 - 1).\nAnswer: -695*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*w - 0*w. Suppose b = 4*b - w. Let h(i) = -i**3 + 6*i**2 + 6*i - 5. Let o(x) = x**2 + x - 1. Let j(c) = h(c) - 2*o(c). What is j(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19131876*t**3\/7 + 34992*t**2\/7 - 16*t\/7.\nAnswer: -4*t*(2187*t - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 0*u - 4*u)*(0 - 137 + u + 50) as f*u**2 + q*u + k and give q.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -46, -54, -54, -40, -6, 54, 146?\n\"Answer: k**3 - 5*k**2 - 2*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*f - 4*y + 132, 4*f - y + 57 = 0. Is 11 a factor of (17*(-2)\/4)\/(f\/130)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -16. Suppose 0 = 2*r - 62*l + 60*l, 0 = -4*r - 5*l - 9. Which is the closest to r? (a) x (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*q = 590 - 1730 - 477 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3 = 7*u + 3*t, -3*u - 1 = t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*2*5 + sqrt(27))\/(sqrt(36)*2).\nAnswer: 11*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 13*a + 6. Let z be h(-12). Let s be ((z - -2)*-1)\/(-1). List the prime factors of s\/50 + 13\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 2, 3*p + 21 = 3*t + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, 1\/5, -0.2, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*j + 12, -2*d - 3*j - 3 = -6*d. Let n = 1952 - 9759\/5. What is the closest to n in -2, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -60*o**2 - 50*o + 9. Let f be z(-1). Suppose x - 2*x = 1. Let k = x - f. Solve -2*g + 0*g + 4 = k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1725 - 1725 + 817*x)*(5*x - 5*x - 3*x) in the form y*x + v + k*x**2 and give k.\nAnswer: -2451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 19.8. Let z = v - -15. What is z rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -231\nAnswer: -138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 1128*i + 869*i + 4*i**3.\nAnswer: i**3 - 259*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 - 27*n**2\/4 + 11658*n + 1081849.\nAnswer: -(n - 241)*(n + 134)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 133356.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 9*u + 57499 - 114996 + 57497 - 7*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**3 + 51*n**2 + 228*n - 61. Is r(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4124.02 to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) 3 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + (8 - 29) - (-5 + 1)) + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2287*r - p - 15199 = -2292*r, -5*p - 20 = 0. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + 1.92. Which is the second biggest value? (a) 14 (b) i (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 631*l**2 - 632*l - 3. Calculate the least common multiple of g(3) and 6.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/12409?\nAnswer: 4\/12409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 = 0, -2*g - 5*j - 434 = -464. Sort g, 14, 55 in increasing order.\nAnswer: g, 14, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*l + 12*l - 51*l - 41*l)*(-462*l**2 + 161*l**2 + 1473*l**2).\nAnswer: -71492*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*n, 4*y + n + 0 = -4. Suppose 2*f = -y*f + 22. Suppose f*i = 16*i - 1250000. Round i to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -670320 divided by 16758?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/555? (a) -6 (b) -0.2 (c) -2\/15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156792 and 663?\nAnswer: 34651032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -765823\/6 - -128051. Let k = g - 406. Calculate the common denominator of -45\/8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426112, 852222, 1278332, 1704442?\nAnswer: 2130552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:12 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) + sqrt(704)) + -4 + 3 + sqrt(11).\nAnswer: -17*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 520253*n**3*z**2 + 7*n**3*z + 14*n**2*z - 13*n*z**2 + 118*n + 30*z**2 - z + 45 wrt n?\nAnswer: 3121518*n*z**2 + 42*n*z + 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Let a = 0.05 - 0.05. Is j greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -242, -3, -2, -1162, 2 in descending order.\nAnswer: 2, -2, -3, -242, -1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 445?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by (3 - 1)\/(2\/22).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 876872784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 + 42*t - 2040 = 0. What is t?\nAnswer: -34, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 6\/5*h**5 - 2 + 7*h**2 - 1\/6*h**3 + 0*h - 19\/24*h**4. What is the second derivative of d(q) wrt q?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -309 + 328.7. Let p = b - 17.11. Let m = 0.41 + p. Put -3, -0.3, 2, m in descending order.\nAnswer: m, 2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, 0.529, -0.2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 6*c**4 - 5*c**3\/6 - 5*c**2\/2 + 8*c. Is j(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 2:23 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 a factor of 991500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -93715976 to the nearest one million.\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 742784\/3 or 247596?\nAnswer: 742784\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 5*t - 5*t)*(-18 - 21 + 197*t + 38).\nAnswer: -788*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 10) + (14 - (0 + -3)). Suppose -v = -5, 11*k - 5*v + 22 = a*k. Let m be 1*(-5 + (-1 - -1)). Sort -2, k, m in increasing order.\nAnswer: m, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*p + 31 = 0, -2*z + z + 3*p = 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 11) + (46 - 22) + -39.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21618 and -1.525816.\nAnswer: 21616.474184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.47285 - -2.47271. Let c = 14 + t. What is c rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 2187544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 3*p - 6, p + p + 4 = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2366675 by -473335.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.5261 and 1201717.\nAnswer: 1201723.5261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 726 = -4*u - 3*n, 2*n - 544 = -3*u. What is the least common multiple of 252 and u?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/3 - 76*a**2\/3 - 4*a\/3 + 76\/3.\nAnswer: 4*(a - 19)*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 14) to base 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 732, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-28))\/(3\/(-6))*2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 259*s**4\/12 + 422*s**3\/3 + 2092*s**2. What is the first derivative of m(o) wrt o?\nAnswer: 518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*((v*(v\/v**(1\/3))\/v)\/v)\/v)\/v*v)**(-23\/2))**(1\/7)*((v**0)**(-3\/7))**(-46) assuming v is positive.\nAnswer: v**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(147))**2 - sqrt(81)\/(sqrt(15)\/sqrt(5)).\nAnswer: -1176 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*l - 5*v - 17, -3*l - 5*v + 5 = 0. Suppose 2*d - 16 = -2*d. Suppose 4*i = 5*n - 37 - l, d*i = -12. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-14 - -1) - -1. Let b(y) = y**3 - 14*y**2 + 15*y - 11. Let m(q) = -q**3 + q**2. Let c(r) = -b(r) - 2*m(r). Is c(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -23 - 8*4\/8. Let c = -30 - a. Calculate the common denominator of ((-8)\/9)\/2 - c and -29\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 9) to base 8\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 + 503\/5. What is the nearest to 0.1 in 1\/6, -5\/4, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5102, 5348, 5754, 6314, 7022?\n\"Answer: -j**3 + 86*j**2 - 5*j + 5022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5652551 times -0.09\nAnswer: -508729.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 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: What is the greatest common divisor of 26 and 35116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 2:14 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y. Let v(s) = -143*s - 719. Let z be v(-5). Put y, z, 1, 2 in ascending order.\nAnswer: z, y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 553, 1258, 1965, 2674, 3385?\n\"Answer: g**2 + 702*g - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 76035504 divided by 6\nAnswer: 12672584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/2 + 4\/(-8). Suppose 11 = o + b. Let x(d) = -d**3 + 10*d**2 - 17*d + 7. Let s be x(o). Solve -6*n = -2*h - n - s, 5*n = -3*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6.2. Which is the third biggest value? (a) -1\/9 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 5. Let c be r(3). Sort c, 0, 1 in ascending order.\nAnswer: 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -665*o**2 + 665*o**2 - 38*o**3.\nAnswer: -38*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 43, 65, 93, 133, 191, 273, 385?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 1. Suppose 17*h - 13*h + 4 = 0. Let z(n) = 6*n**2 - 3*n + 22. Let q(u) = h*z(u) - 3*b(u). What is the first derivative of q(p) wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Suppose -4*c - 100 = 2*w, -5*c + 3*w = -w + 99. Let d = c + 25. Let b(v) = -25*v**d - 9*v**2 - 2*v**2. Determine p(b(x)).\nAnswer: -1296*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + 3. Suppose 3*l + l = 0. Suppose 4*t = u + 14, u - 4 = -l*u - 2*t. What is g(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*s - 30, 0 = -m + 5*m - 4*s - 12. Put 4, m, 1, -3 in decreasing order.\nAnswer: m, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i - 31. Let a(g) = 7*g - 49. What is -5*a(d) + 8*k(d)?\nAnswer: 5*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/8*2\/(-30). Which is the nearest to 3? (a) x (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 589, 1178, 1767?\n\"Answer: 589*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -124, -116, -206, -400, -704, -1124, -1666, -2336?\n\"Answer: -f**3 - 43*f**2 + 144*f - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-2*m + 0*m + 0*m)*(0*m**2 + m**2 - 2*m**2) - 105*m**3 + 114*m**3 + 901*m**3.\nAnswer: 906*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83177504687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + k = 0, -12 = 16*y - 15*y - 4*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 15*n + 132. Let l(k) = 117756*k**2 + 12*k + 40. Let m be l(n). What is m rounded to the nearest one hundred thousand?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5))**(-6\/11)\/(g\/g**(-10))**(1\/4) assuming g is positive.\nAnswer: g**(-1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -20*p + 20. Let i be (1\/2)\/(p\/256). What is the greatest common factor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5173.89 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01214 rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 471873 + 109169 = 5*r, r + 4*x = 116205. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 328*w**2 + 124*w**2 + 14*w**2 + 17*w**2 + 121*w**2 as n*w + f*w**2 + g and give f.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(2\/3)\/v*v)*v**(1\/8)*(v**0)**(-30) assuming v is positive.\nAnswer: v**(11\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3 - 511*i**2*m**2 + 13*i**2*m - i*m**2 - 25990*i wrt i?\nAnswer: -6*i - 1022*m**2 + 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 9 = -17*z. Find the second derivative of -3*a**z + 2*a**3 - 2*a + 0*a + 5*a**3 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnlnnnnnn. Give prob of picking 1 l and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2448)*2*-3 + sqrt(2448) + 0 + (sqrt(2448) - (sqrt(2448) - (sqrt(2448) + 0))))**2 + (5 + sqrt(2448))**2*-4 + -1*1*sqrt(2448) + sqrt(2448).\nAnswer: -88228 - 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2 - 6*l + 15. Let g be k(-8). Let j be g\/2*0\/(10 - 4). Solve -3*u + 4*u - 2 = j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, g: 3, x: 1, y: 1, d: 6}. Give prob of picking 1 g and 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*n - 5 - 7 = 0, 5*y + 3*n = 20. What is the lowest common multiple of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 857*f*z**2 + 3*f*z - 169709231*f + 10967*z**2 - 2*z wrt z?\nAnswer: 1714*f*z + 3*f + 21934*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(281\/(-3) + -1). Let u = c - -306. What is the greatest common divisor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17232, 34460, 51688?\nAnswer: 68916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 6:11 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 429816402 a multiple of 1001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/67 + 124\/335. Which is smaller: -8.5 or o?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1*1\/18). Suppose 0 = -4*q + 2*q + y. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 56*c + 2. Let v(g) = 4*g - 1. Let p(o) = -15*o + 4. Let t(j) = -p(j) - 4*v(j). Determine z(t(h)).\nAnswer: -56*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + 6.01. Let n = -68 - -69. Sort n, h, 4 in ascending order.\nAnswer: n, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 8:30 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*w - 11 = 0, 0 = -5*y - 3*w + 2 + 3. Suppose y = c + c. Let x(a) = -2 - a**2 + c + 5*a**2. Let m(p) = 3*p. Calculate m(x(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-1)\/(2\/6). Suppose -11*f - 34 = 21. Put z, 1, f in ascending order.\nAnswer: f, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -13, 2\/11, -4\/3, 3 in descending order.\nAnswer: 3, 0.3, 2\/11, -4\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 1. Let v(x) = x**2 - 1. Let z(l) = r(l) - v(l). Let i(o) be the first derivative of 10*o**2 + 2. Give z(i(w)).\nAnswer: 400*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y = -w + 10631, -w + 4*y + 10667 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:38 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = 4*i. Suppose 5*d + 4*y - 28 = i*y, 5*d - 24 = -3*y. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/39)\/r)\/r)\/((r\/(r*r**7))\/r)*r**(6\/17)\/((r**(-1\/16)\/r)\/r) assuming r is positive.\nAnswer: r**(88727\/10608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117) + -2)**2 + 4.\nAnswer: 12*sqrt(13) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (sqrt(3) + -4)*-6 + (sqrt(3) + 2)*-3 + (-3*(1*sqrt(3) + sqrt(3)))**2)*2.\nAnswer: -108*sqrt(3) + 1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -12, 2 in decreasing order.\nAnswer: 2, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102658335?\nAnswer: 3, 5, 13, 526453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 889*o**2*r - o*r - 368*r wrt o?\nAnswer: 1778*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505 - 171*p**2 - 144*p**2 + 1022 - 517.\nAnswer: -315*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*q + 24. Suppose -p - z = -q, z = -0 - 1. Suppose -11*s + p = -8*s. Calculate the least common multiple of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5d5a (base 16) to base 10\nAnswer: -23898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*v - 98*b + 99*b, -b - 3 = -2*v. Sort v, 5, -117 in increasing order.\nAnswer: -117, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k. Let v(j) = -13*j**2. Calculate x(v(p)).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1072 + 1076. Suppose 120 - 48 = 4*k. Sort -1, k, o in ascending order.\nAnswer: -1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -23*y**2 + 0 - 1\/4*y**4 + 0*y - 4*y**3. Let o be b(-5). Solve -3*c - 15 + o = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260873.\nAnswer: 260873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c**2 + 5*c - 1. Let g(q) be the third derivative of 7*q**5\/60 - q**4\/6 + q**3\/6 + 2*q**2. Let l = 3 + 3. Suppose -l = s - 1. Give s*m(d) - 6*g(d).\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*j - 4*b - 4, 4*b - 24 = 4*j. Let i(s) = 7*s + 7. Let l(w) = -1. Let x(g) = -i(g) - 6*l(g). Calculate x(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 1. Let f be q(2). Let d(b) = 8*b**2 - 3*b - 2. Let c be d(-1). Let m = -1 + c. Solve -f*w = -2 - m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 121 = 30*k + 59. Let x = 0.21 + -0.11. What is the third biggest value in x, -3, -3\/2, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 1, 1243, -3 in decreasing order.\nAnswer: 1243, 1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19728.99968 + 19754. Let j = 25 - n. What is j rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 175?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193433038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 705144 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 326387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*x = -130. Calculate the highest common divisor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 159 + 1641 = 2*f, 0 = 2*f - 4*s - 1740. Put f, -2, 3 in decreasing order.\nAnswer: f, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.7, -228, 1, -25, 5 in decreasing order.\nAnswer: 11.7, 5, 1, -25, -228","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 1768.9975216 + -1769. Round d to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4235.366 kilometers?\nAnswer: 4235366000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4 + 130*c**3 + 5973*c**2 + 113620*c + 763876 = 0. Calculate c.\nAnswer: -46, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - 10*u)*(-2*u**2 + 2*u**2 + 2*u**4) - 1948 + 1948 + 3*u**4 + 8*u**2 - 3*u**5.\nAnswer: -23*u**5 + 3*u**4 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-1743)\/(6 + 1) + 0. Let c = u - -388. What is the remainder when c is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2, 48, -5, -260, -10 in increasing order.\nAnswer: -260, -10, -5, 0, 2, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15708 - 15720. Let z = 34 + -54. Is a bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 4*v - 1780 + 1787, -v = -3*b + 22 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**4\/4 + 2*h**3 - 16*h - 35. Let i(d) = -d**3 - 5*d**2 + 16. Let r(y) = 3*i(y) + 2*w(y). Differentiate r(c) wrt c.\nAnswer: -15*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*i**2 + 5392660*i + 145403909378.\nAnswer: 2*(5*i + 269633)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 8:37 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10020212 (base 3) in base 7?\nAnswer: 6626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17333 + 17328. What is the nearest to -2 in 2\/7, 11\/5, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.993516 to 2 dps.\nAnswer: 99.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 102935 + 103049 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 737 and 131119?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159940116 divided by 5712147.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -225 - -226. Let z(s) = -9*s - 1 + 0 + 3 + c. Determine z(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 20 = z + s, -5*s - 4 = 4*z. Suppose 5*b + 1215 = -z*b. What is b rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*f - 1478, 3*s + 0*f + 5*f - 2213 = 0. Let u(a) be the first derivative of -a - 757 + s - 18*a**2 + 2*a. Differentiate u(b) wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a*a*a**(-6\/23))*a**(-31)\/a)\/((a*a**(-17))\/(a*a**20*a)) assuming a is positive.\nAnswer: a**(75\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-14)\/(-21) + 17858\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d - -bb?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**8\/700 + p**7\/280 + p**6\/600 + 32*p**3\/3 - 20. Let g(t) be the third derivative of b(t). Factor g(h).\nAnswer: 3*h**2*(h + 1)*(4*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -29*c**5\/60 - c**4\/12 - 127*c**3\/3 + 10*c**2 - 2*c. Find the first derivative of v(o) wrt o.\nAnswer: -58*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-1)*12\/16. Solve 1\/4*l**t + 0*l**2 - 1\/4*l**4 + 0 + 0*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 11, 4, -4, 28 in descending order.\nAnswer: 28, 11, 4, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 - -166. Suppose 3*p - 34 - 17 = 0. Suppose -v + p = -4*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*n = 54867 + 1828. Solve 16 = 383*c - n*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-21)\/v*v)**(-18)\/(v\/(v\/(v**(4\/11)\/v)))**(7\/4) assuming v is positive.\nAnswer: v**(16681\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(1\/6)*o**(-2\/3)*o\/(o**(-2\/17)\/o)*o**10 assuming o is positive.\nAnswer: o**(429\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 98.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 213.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10*31\/(-744)*(-8)\/30\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*4*((-1 + 2*(1 + sqrt(637)))**2 - (-6*(1 + sqrt(637))**2 + 2)).\nAnswer: -102004 - 1792*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8270348*z + 4354526*z - 6272960*z.\nAnswer: -10188782*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 8*p - 2. Let o(v) be the second derivative of 0 - 1\/40*v**5 + 1\/2*v**p + 0*v**4 + 2*v + 1\/4*v**3. Find d such that o(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 322 or 13\/6?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.02934 times 5\nAnswer: 0.1467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -3.19\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5660304 years?\nAnswer: 0.005660304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 8 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.102.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.207 - -0.003. Let h = k - 0.210038. What is h rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291\/5 + -60. Suppose h + 6*r + 2 = 9*r, 5*h + 3*r + 10 = 0. Put -5, 2, h, g in descending order.\nAnswer: 2, g, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 511066506, 1022133011, 1533199516, 2044266021, 2555332526?\n\"Answer: 511066505*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5995 - 5992. Let y(o) = 2*o - 12. Give y(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2 - 309*n - 1767 wrt n.\nAnswer: 6*n - 309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 229, 464, 697, 928, 1157?\n\"Answer: -i**2 + 238*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1504 + 9059\/6. Let m = 31\/29 - 1847\/290. What is the common denominator of a and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from {w: 2, b: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386745.\nAnswer: 3, 5, 19, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 6*j**2 + 7*j - 4. Let v be y(7). Suppose -2*w - 9 = 3. Does 12 divide (-318)\/(-9) + v\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 500, 626, 754, 884, 1016, 1150, 1286?\n\"Answer: i**2 + 123*i + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000208 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3853 is divided by 297.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, u: 7}. What is prob of picking 3 d?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 2, -8, -20 in descending order.\nAnswer: 4, 3, 2, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 6*s = 1356. What is the remainder when s is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 2. Let r = -21 - -19. Let s be i(r). Suppose -125 = -5*n + 5*u, -n + s*n + 3*u = 5. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 942 * 9173.\nAnswer: 8640966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - 2919\/(-27)) + (5\/75)\/(6\/(-10))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110021 + -201?\nAnswer: 102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**6\/120 + q**5\/15 + q**4\/6 + q**2 - 5. Let a(s) be the second derivative of h(s). Determine a(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 2*z. Let r(u) = u**2 - 17*u - 8. Determine -3*f(x) + r(x).\nAnswer: -2*x**2 - 11*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32744*f - 32810*f - 66 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/14*(-805)\/(-230))\/(2\/(-8)). Suppose 5*o - 15 - 1 = -z, -3*z - 12 = -5*o. What is the greatest common divisor of h and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + t + 3. Let q be r(0). Suppose q*w + 2*w + 2*z = 482, -2*w = 3*z - 184. Is 32 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Is j at most -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/2241?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, s: 6, v: 10}. What is prob of picking 3 o?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -923 and -616798597.\nAnswer: -616799520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 6. Let q(u) = -1. What is -o(t) - 4*q(t)?\nAnswer: -3*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -28*i - 36. List the prime factors of g(-5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72297966 divided by 39?\nAnswer: 1853794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58868*h**2 + 59196*h**2 - 118058*h**2 - 28*h + 28*h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.7 + -1.7. Let x = f + -9.8. Let t = -4\/173 - 302\/1903. Is x smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 25. Give a(39).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157703501 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/(38\/(-399)). Suppose 3*q + 16 = r*q. Solve 2*v = -m + 5, q*v - m - 30 = m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38333 and -5.\nAnswer: 191665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15497\/10334 - -2\/5167. What is the second smallest value in -1\/21, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/6 + 3\/15 - 4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(49) - (sqrt(441) + -1*sqrt(441) + sqrt(441) + sqrt(441) - sqrt(441)))\/(sqrt(28)\/(sqrt(12)\/sqrt(3))) + -1.\nAnswer: -12*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182015*o**3 - 272531*o**2 wrt o.\nAnswer: 1092090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 5. Let l = 91 - 89. Let c(f) = 7*f - 11. Suppose 3*u = 7*u + 20. Give l*c(k) + u*y(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 353 + -326. Solve 41 + f = 17*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120410 (base 7) in base 9?\nAnswer: 32825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*g + 6*g + 2*i - 7, 4*g + 4*i + 28 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 26. Calculate n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.5 minus 181266344095?\nAnswer: -181266344012.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.9557479 to 2 decimal places.\nAnswer: 9.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {p: 2, r: 4, y: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-9) - 22\/3. Let a be 2\/d + (-32)\/(-14). Suppose -f - 6 = -5*n, n = a*f + 2*n - 10. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -343709\/2439040 - -5\/13184. Let y = p - -2858\/9805. Put -3\/7, y, 3 in ascending order.\nAnswer: -3\/7, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 161*t**2 - 173*t**2 + 14*t + 6*t**3 + 5*t + 4 - 4. Let p be v(2). Calculate the highest common factor of 1178 and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.46 (c) 0 (d) -3\/7 (e) -4\/5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98121511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 0*v - 4*v)*(63 - 6 - 28)*(-6*v + v + 2*v) in the form g*v + c*v**2 + i and give c.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6 = 9. Let g(p) = -12*p**3 + 132*p**2 - 100*p + 44. Let m(q) = -q**3 + 12*q**2 - 9*q + 4. Let h(x) = f*g(x) + 32*m(x). Factor h(d).\nAnswer: 4*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 7, 1235, -4, 3, -62, -5 in increasing order.\nAnswer: -62, -5, -4, 3, 7, 11, 1235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 799 - 787. What is the remainder when 50 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -6*v + 10*v. Suppose 3*p + 5*n = v + 12, 2*p = 5*n. Suppose 0 = -3*a + 6*a + 2*s - 19, -3*a + 5 = -p*s. Solve 0 = -a*f - 6 - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13530 + 7475. Let x = h - -6101.938. Let y = x + -47. What is y rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000060661 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -165200*m. Let z(y) = -3*y. Calculate t(z(v)).\nAnswer: 495600*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -7) + -4 + -1 + (58 - 28).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -243.4 + 243. Let y = 2 - 5. Let t be -3 - ((-28)\/(-9))\/(-1). What is the third smallest value in i, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -379*m + 13. Let g be o(1). Let h = g - -413. Calculate the remainder when h is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.116 and -3619054.7?\nAnswer: 3619054.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 14. Let o be j(-8). Suppose 4*l = a + 30, -4*l - 5*a = l - 25. Suppose -4*k - b = -l, -4*k + 18 = -3*b - 9. Put 2, o, k in increasing order.\nAnswer: o, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 1. Let j(m) = m**2 + 9*m + 9. Let b be j(-8). Let y be (-5)\/3 + b\/(-3). Is x less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/70)\/((-2730)\/175 - -16)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8377 - -8376.99986222. What is x rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-19 + 1 + (-61 - -50 - -45))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from qkqfkis?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 22. Let o be s(-8). Let c = -562\/133 + 102\/19. Factor 0 + c*n + 4\/7*n**3 + 12\/7*n**o.\nAnswer: 4*n*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + 124. Suppose -5*u = -9 - 16. Suppose 0 = -u*k + k + g. Solve 3*o = -v + 5, -5*o + 6 = -5*v + k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 738, 4104, 7506, 10962, 14490, 18108?\n\"Answer: 3*t**3 + 3345*t - 2610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8. Suppose s = d - 0*d - 3. What is the units digit of 85\/d + (-1)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (235\/470)\/(1\/(-20))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 8. Let z be 11 + -11 + 3 + -1. Suppose 0 = -3*w + z + 10. Let a be r(w). Solve a*c - 10 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from qmumimqqzmou?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3666 and 111?\nAnswer: 135642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-125)\/5*(-1507)\/(-866525))\/((4\/46)\/(-1)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a century in decades?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(-27*a + 7*a - 15*a - a + 0*a - 3*a + 0 + 0 - a + a - 3*a - a - 2*a + 2*a - a + a - 4 + 4 + (2*a + 3*a - 7*a)*(3 + 3 - 4)).\nAnswer: -188*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -375 - -377. Suppose -4*n + 92 = -f*p, -10*p = -5*n - 7*p + 116. Solve n = 5*s + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k**5 - 3522*k**4 - 252464*k**3 + 2257000*k**2 - 5046336*k + 1124480 = 0. What is k?\nAnswer: -70, 1\/4, 4, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-11))\/(4\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g - 7. Let h(a) = 2*a - 3. Let l(c) = 7*h(c) - 3*v(c). Let u(d) = 7*d + 2. Calculate -5*l(s) - u(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 5*f**6\/2 - 8*f**5 + 15*f**4\/4 + 10*f**3\/3 + 99. Let x(w) = 0. Calculate w.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 27 (b) -5 (c) -3\/8 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -44. What is the third biggest value in 0.014, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {q: 1, o: 6, h: 2, p: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**3 + 560*u**2 - 2192*u + 2176 = 0.\nAnswer: 2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.1 (b) -39 (c) 27 (d) 424 (e) -5 (f) 0.05 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rddcrrcrrd. What is prob of picking 2 c and 1 r?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1819 - 1819. Sort -427, -2, 3, d in increasing order.\nAnswer: -427, -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 122622.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 559*p + 14610. What is m(-26)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13383 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 108\/126 + 255\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ininininlniisnlnnbn. What is prob of sequence blnl?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(-1\/2)\/i)\/i)**28*i**(-1\/10)\/(i\/(i\/i**(-1\/3))))**(2\/11) assuming i is positive.\nAnswer: i**(-1253\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 843*v**4 + 1153*v**3 + v**2 - 41071*v - 3 wrt v.\nAnswer: 20232*v + 6918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42511, 339738, 1146411, 2717254, 5306991, 9170346, 14562043, 21736806?\nAnswer: 30949359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(396) + -1.\nAnswer: -6*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)*y*y)**(-41)*(y**(1\/3))**15 assuming y is positive.\nAnswer: y**(-272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 5 = 5*b + 5*g, 5*g = b + 29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/6)\/(2116\/(-184)))\/(13\/117)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w**3 + 554*w**2 - 2482*w - 2460.\nAnswer: -2*(w - 41)*(w - 6)*(6*w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-1\/3)*(i\/(i*i*i**(-1)\/i)*i)\/(i*i**(-7)*i*i*i) assuming i is positive.\nAnswer: i**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948791.\nAnswer: 3, 13, 107, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 136083217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + sqrt(128) + sqrt(128).\nAnswer: -4 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 + (-34)\/(-4). Let z(w) = -w**3 + 6*w**2 - 5*w + 2. Let o be z(5). Solve 2*h = -o*h + t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -16. Let r(z) = -2*z - 2. Let u be r(j). Suppose -u = 4*m - 208. What is the highest common divisor of 34 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 7. Let o be f(-4). Let z(n) = 7*n**3 + 8*n**2 + 8*n - 8. Let s(y) = y**3 + y**2 + y - 1. Give o*z(p) - 24*s(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-2 - 3) - (1 - 1). Suppose 8*s**3 - 2*s**5 - 56 + 110 - r*s**2 - 54 + 2*s**4 = 0. What is s?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32300 is divided by 10691?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/((-8)\/(-14)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nni when three letters picked without replacement from piinnppnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 = k + 96, -k + 164 = 3*z. Suppose -6*j - z = -558. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 68?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10122 divided by 241\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.1 and -1282.491031.\nAnswer: -1286.591031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1093491680 divided by -2\nAnswer: 546745840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - 7. Let l(x) = 6*x + 21. Let j be l(-7). Let q = j - i. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -509*u**2 + 453 wrt u.\nAnswer: -1018*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 4, -15, -5, 12, 5 in increasing order.\nAnswer: -15, -5, 4, 5, 12, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3405342 or 3405337?\nAnswer: 3405337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164232 is divided by 16341?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20732.7 and -0.07?\nAnswer: 20732.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 3786369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2831958 is divided by 257450?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76264.99 decades in months?\nAnswer: 9151798.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z. Let c(n) = -6*n**2 - 6. Let y(j) = -c(j) - 4*r(j). What is the units digit of y(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18112*d**4 - 7*d**3 - 150*d + 7*d**3 - 17874*d**4 wrt d.\nAnswer: 2856*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:59 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25460305967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751616773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6d (base 14) to base 13\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 167*b**6\/360 + b**4 - 21*b**3 + 24. Let q(d) be the third derivative of s(d). Differentiate q(w) with respect to w.\nAnswer: 334*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -49*g**3 - g**2 - 2*g - 5. Suppose 2*p = -4, -8 = -2*l + 5*l - 2*p. Let c(z) = 48*z**3 + z**2 + 3*z + 6. Let k(v) = l*c(v) - 5*i(v). Is k(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/(-3)*(-6)\/30. Let x = 167\/15 - j. Calculate the common denominator of (-146)\/(-18) + (-3 - -1) and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 90 = -u. Let n be (u + -2)*-1*(1 - 0). Suppose -x = 3*k - 127, 3*x - n*x = -2*k + 81. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3859*t**5*y + t**2*y - 23*t**2 + t*y - 2 wrt t.\nAnswer: 231540*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 5 - 5)*(-7*y**2 - 5*y**2 + 5*y**2 + (y + y + 0*y)*(-1 + y + 1)) to z*y**3 + m + b*y**2 + u*y and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(4\/7))**(2\/51)*(d**(-4))**(2\/19) assuming d is positive.\nAnswer: d**(-914\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*h + 12103 = 0, -7*i + 9*i = -2*h + 8070. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1415\/2 - -757. Let p = 49 - i. Which is the closest to p? (a) -1 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (29 - (-91 + 24))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3462484.\nAnswer: 2, 19, 29, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 7*m**5\/60 + 23*m**2. Let l = 26 - 24. Let b(x) = 7*x**l - 26*x**2 + 17*x**2. Determine b(y(u)).\nAnswer: -98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1.2, 2\/71, 0.5, 24.4, 1?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.137 (b) 0.2 (c) 15 (d) -2\/21 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/1 + ((-7)\/(-1) - 942\/(-471)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 - 26*n - 1664. Give c(-26).\nAnswer: 1716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 - 7) + 2 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -75f?\nAnswer: 75d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 411768 divided by 903?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 3, -9, -39, -93, -177?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1254790*h**2 - 23638*h + 23 wrt h?\nAnswer: -2509580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 4 + 4)*(-914 - 1180 + 152).\nAnswer: 3884*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6*24\/80. Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((266\/24)\/(-7))\/((-108)\/324).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -8*m - 4*b + 1485, -1525 = -5*m + 4*b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -234 + 1?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 5. Let s be w(13). Let z = -29 + -38. Let i = s - z. What is the highest common divisor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 15*s**2 - 16*s - 30. Calculate h(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1075756668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69602 and 26770?\nAnswer: 348010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 - (114345\/(-49))\/9. Let d = i - -273. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 935 - 616. Calculate the highest common factor of 29 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1574685355 is divided by 213.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 5*n**2 - 7*n + 2. Let p(v) = -7 - 4 - 3*v - 13. Let a be p(-10). Give k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23684, 2, 54 in decreasing order.\nAnswer: 23684, 54, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/38 and -31\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500516138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/120 - b**5\/20 - b**4\/12 + b**3\/6 - 11*b**2. What is the units digit of n(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*q**2 - 5*d*q - 217*d - 52979*q**2 wrt d.\nAnswer: -2*q**2 - 5*q - 217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8744 rounded to 2 decimal places?\nAnswer: -2.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -3684504?\nAnswer: 3684500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(-632)\/790?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 2\/(-4))\/(5\/4). Let l be -1*c\/(-4) + (-2158)\/(-4). Suppose -9*d + l = -5*d - 2*u, 5*d - u - 669 = 0. What are the prime factors of d?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**5\/12 + 29*j**3\/3 - 16*j**2 + 35. Let z(p) be the second derivative of r(p). Differentiate z(i) with respect to i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q + 60*q = -6*q + 5356 + 7682 for q.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1073\/567 + -1\/81. Find the common denominator of c and 2 + (-130)\/111 + -1.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 6056*s**2 - 30036*s + 217296.\nAnswer: -4*(s - 4)*(s + 9)*(s + 1509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5 + 3, 5*j - 25 = -5*q. Let p(k) = 4 - 1 + 6*k - q*k + 2*k. Give p(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*q - 59*q - 12*q)*(2 + 0 - 4).\nAnswer: 218*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3649 + -3644.726. Let t = -0.026 - i. Let y = t + 4.2874. Round y to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 8*t**7\/21 - 23*t**5\/20 + t**4\/6 + 121*t**2 + 950*t. Find the third derivative of g(u) wrt u.\nAnswer: 960*u**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 14 = -0*k - 3*k, 4*k - 4 = 2*b. Let q(m) = -m**3 - 3*m**2 + 3*m - 1. Give q(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -21626?\nAnswer: 21629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6089 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p - 2*p**3 + 7*p**2 + 0*p - p**4 - 7*p as t*p**3 + g*p**4 + n*p**2 + s*p + m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 - 295. Let p = 116 + d. Sort p, -1\/5, -4, 2 in descending order.\nAnswer: 2, -1\/5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 547114360*f - 18708382682388100.\nAnswer: -4*(f + 68389295)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 7*c - 13. Let h be r(3). Suppose -8*g = h - 83. Calculate the remainder when 22 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from effeeee. Give prob of picking 2 e and 2 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m - 28. Let g(x) = 3*x - 19. Let c(z) = -5*a(z) + 7*g(z). Let p be (15\/9)\/(35\/63). Suppose -p*n + 8 = -7*n - 3*w, 5*w = 20. Determine c(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11614\/5 + 2315. Which is smaller: d or -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q + 4686 = q. Let a = q - -226. Solve -a = y - 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001735028 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -46\/5?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a - 2*a)*(2*a**3 - 4*a**3 + 3*a**3) - 17*a + 1 + 17*a - 4*a**4.\nAnswer: -5*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 360*f + 1389 + 1131 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b - 22. Let i(x) = -44*x - 110. Let v(q) = 28*h(q) - 6*i(q). Let m be v(-11). Let u = m - -185. What are the prime factors of u?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-8) - 3\/(-2). Suppose 0 = 4*l + l - q*i + 5, 5*l - 4*i = -5. Let z = -1 + 1. Is z < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z - 9. Let q(k) = 3*k**2. What is q(u(l))?\nAnswer: 48*l**2 + 216*l + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y**2 + y + 1. Let k(p) = 9*p**2 + p. Let z(r) = 5*b(r) - 6*k(r). Let q(i) be the first derivative of z(i). Is q(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 - 30*m + 108. Calculate v(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 3*f - 15. Let m(l) = l - 1. Let r be m(f). Solve 5*x + 5*p - 25 = 3*p, 20 = r*x - 2*p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 7:58 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-10)\/((-50)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1132 + n + 474 + 447)*((2 - 5 + 2)*(2 + 0 + 1) + 6 - 4 - 3 - 4 + 4 + 6) to the form z*n + c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 15 (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 6*l**2 - 5*l. Let n be 5*(1 - (4 + -4)). Give x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -1 (c) -4 (d) 13 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -107762 divided by -107762\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgcpcpiccbpc. What is prob of picking 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/42*(-392)\/(-448).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.9569975 rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*v + 5*f, -10 = -3*v - f - 4*f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 38*j**7\/105 - 7*j**5\/30 + 2623*j**3\/6 + 469*j**2 + j. What is the first derivative of g(v) wrt v?\nAnswer: 304*v**3 - 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v + 4*n + 229, 4*n = -4. Is 45 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Let c(w) = 2*w**4 - 4*w + 3. Let y(o) = 2*o**4 - 3*o + 2. Let b(m) = j*c(m) - 4*y(m). What is the first derivative of b(u) wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 9. Let a(d) = -3*d**2 + 4*d - 4. Give a(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44113995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/19 + 31734*z\/19 - 31732\/19 = 0. What is z?\nAnswer: 1, 15866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/2))**24\/(a**(-3\/8))**(1\/23))**(-1\/10) assuming a is positive.\nAnswer: a**(-6627\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(6\/4 - 0). Let q be 4\/h*3\/(-2). Let x = -2.3 - -2.1. What is the closest to q in x, -0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-42))\/(10\/7). Is m greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 40*p**3 + 76*p**2 + 120*p.\nAnswer: 4*p*(p - 6)*(p - 5)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4912, 9828, 14744?\n\"Answer: 4916*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467850 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2 - 1 - b**2 + 8*b - 3*b - 4*b. Let w(c) = -c**3 + 5*c**2 - 6*c - 6. Determine 6*u(q) + w(q).\nAnswer: -q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -65, 3, 16, -2, -5, -4 in decreasing order.\nAnswer: 16, 3, 0, -2, -4, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 816.92 nanograms?\nAnswer: 0.00081692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 2*f**2 + 7*f**2 - f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898*w + 898*w + 904*w + 886*w - 3603*w.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*q**4 - q**3*z**2 - q**3 - 20*q**2*z + q**2 + 5*z**2 wrt q.\nAnswer: -840*q - 6*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.11049*-18.412\nAnswer: -2.03434188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135456 or 135454?\nAnswer: 135456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3169.099 to the nearest 10.\nAnswer: -3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2652475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -492*k - 623*k - 93*k + 302*k as v + p*k and give p.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 5*h**2 - 3. Determine j(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -492371 rounded to the nearest 1000?\nAnswer: -492000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/2)\/(2 + -1). Suppose u = 3*j - 4*f - 12, 0 = 2*j - f - 5. Let c = 170 + -169. Calculate the greatest common divisor of c and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10 - 142*c - 130*c - 147*c + 436*c. Let k(y) = -49*y + 28. Let a(f) = -14*g(f) - 5*k(f). Let x(h) = -17*h. What is x(a(m))?\nAnswer: -119*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4300 divided by 6?\nAnswer: -2150\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*c**3 + 10*c**2 - 3*c**2 - 7*c**2 + 94*c**3.\nAnswer: -346*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-590 - -616) + (11 - 13 - (0 - (1 - 1)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1680)\/(-112)*16\/20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/5279 - 200613\/58069. Let r = -60\/19 - -1261\/285. What is the common denominator of r and n?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -9\/4*i + 6 - 1\/4*i**3 + 3\/2*i**2. Find m, given that w(m) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfbmdblm. Give prob of picking 1 f and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**2 - 77223*o - 77220 = 0.\nAnswer: -25740, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516*-0.2.\nAnswer: -103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2874 + 3294. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + g - 8. Let l(y) = 38*y**2 - y - 2. What is the tens digit of l(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 + 144.0363. Round o to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.47 - 1.4. Let k = -1.87 + f. Is -1 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 16 = 2*h - 4, t - 21 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 63817.06 centuries?\nAnswer: 638170.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/23478748 and 119\/5800?\nAnswer: 1173937400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 take away 1801828468?\nAnswer: -1801828368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 + 1. Let u = -22.6 + 23. What is the third biggest value in u, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 10:45 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19aac0 + -2?\nAnswer: 19aabd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 - q**3 - 7*q**3 + (3 + 2*q**3 - 3)*(-2 + 0 + 4) + 3*q**3 + q**3 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-10\/9)\/(v**(-1\/3)\/v*v**6\/v))\/((v\/v**3)\/(v*v**3\/v)*(v**(-1))**(-3\/2)) assuming v is positive.\nAnswer: v**(17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 2121312333?\nAnswer: 2121312343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2437 + -88237. Round d to the nearest one thousand.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191563983?\nAnswer: 3, 13, 1637299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 375783?\nAnswer: 375783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*1\/2 - 14. Let c = 15 + v. Solve 4 + 1 = c*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, 23.4240786?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2567656 is divided by 862.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + 0*j**2 + 0*j**2 + (j**4 - 2*j**4 + 4*j**4)*(1 + 4 - 4) + (-2*j**3 + 2*j**3 + 2*j**3)*(3*j - 2*j + j) + 2*j**4 + 0*j**4 + 0*j**4.\nAnswer: 11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17038.8*15\nAnswer: -255582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 4*p**2 + 4*p**2)*(8 - 8 - 2*p - p**2).\nAnswer: 2*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(30\/1530*-17)\/((-2)\/(-38))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 + -76. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 = i, -4*i = -8*i + 5*k + 8. Factor -4\/3*c**3 + 2\/9*c**4 - i + 4\/3*c + 16\/9*c**2.\nAnswer: 2*(c - 3)**2*(c - 1)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19784877 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 - 6*c - 6. Let d be j(-5). Suppose -5*u - 213 = -3*z, -27*z = -28*z - 9*u + 103. Let y = z + d. What is the nearest to y in -4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -644, -1884, -4080, -7490, -12372, -18984, -27584?\nAnswer: -38430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144168 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o + 1334. What is the remainder when k(38) is divided by 132?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27407.8 + -27408. Let p = -3 - -8. Let g = p - 7. Sort 1\/7, g, 2, h in descending order.\nAnswer: 2, 1\/7, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 10*n**2 - 8*n + 12. Let b be h(-9). What is the units digit of b\/(-1) + 10\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**3 - b**2 - 3. Let c(j) = 9*j**3 + 2*j**2 + 5. Let x(f) = 3*f**2 + 4*f - 1. Let r be x(-3). Suppose 2*k = 4 - r. Determine k*m(d) - 3*c(d).\nAnswer: -2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-7)*k*k*k*k*k\/(k**(2\/7)*k)*(k\/(k*k\/k**(-2\/9)*k))**(-35) assuming k is positive.\nAnswer: k**(4819\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7 = 45. Suppose 3*t - 5*d - 16 = 0, -4*d = -2*t + 6 + 6. Let n(s) = t - s**2 - 3 + 3*s**3 - r*s**3 - 2*s. What is n(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2983185 * 30\nAnswer: 89495550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwqqwqqqqqwqyqyqqwqw. Give prob of sequence wqyq.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, 15, -18, 0 in descending order.\nAnswer: 15, 0, -4, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -14.88658955?\nAnswer: -15.18658955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4469)\/(-164) - (-68)\/(-16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58184?\nAnswer: 2, 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*x + 62*x - 11*x + 52*x + 53*x**2 wrt x.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*l - 36. Let x(n) = n - 18. Let u be x(l). Solve -d + 7 + 9 = -4*m, u = -3*d - 2*m - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 10. Let r be g(-8). Find the common denominator of r\/6 + (-548)\/72 and -85\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -4 - -1 - -23 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 7*u - 4. Let r be n(-8). Let i(l) = l**3 - 3*l**2 + 2*l - 3. Does 7 divide i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -35. Let j be 1*((-5)\/(-2))\/((-12)\/(-24)). Let z(p) = 31 - 2*p + j*p - r - p. Determine z(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 44*i - 41. Give c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 56967?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, g: 1, x: 2, m: 1}. Give prob of sequence ugum.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228 (base 10) to base 12.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 0*x + 0*x)*(4*x - 4*x + x) + (-4*x + 0 + 0)*(x**3 - 2*x**3 - x**3).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2140.185m in kilometers?\nAnswer: 2.140185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 107814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -12*k**3 - 2*k**2 + k - 4. Let c be 4\/(-12)*(1 - 5)*(-3)\/(-4). Let s(n) = n**3 + n**2 - n + 1. Calculate c*t(w) + 2*s(w).\nAnswer: -10*w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 7 = -2*h, -16*d + 909 = -h + 895 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 17*t = -10, 0 = o + 2*t - 226. What is the greatest common factor of 1560 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 55*f + 10. Let j be a(-3). Let g = j - -187. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 42033?\nAnswer: 42025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-12))\/((-2)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -54*q + 1656. Calculate the highest common divisor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 1. Let s(b) = -2*b**2 - 61*b. Give -s(w) + y(w).\nAnswer: w**2 + 61*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 395, 5, -9, 12 in decreasing order.\nAnswer: 395, 12, 5, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/35, -5\/36, -0.204?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1395 and 1396 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 101?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -10, 8147, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 3972?\nAnswer: -3977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**3\/3 + a**2 + 1333. Suppose -10 = -5*q + 5*v, -2*q - 2*q + 5*v = -7. Determine w(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2795 + 3086. Calculate the lowest common multiple of v and 273.\nAnswer: 26481","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*p + 210. Suppose 7*m - 91 = p. What is the highest common divisor of m and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**3 + 25*o**2 - 49*o. Determine k(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*t = -2280 - 6780 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.25, 0.5, -1, 10, 5, -34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 19*j**2 + 231*j - 1525. Give i(11).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-16))**(2\/137) assuming s is positive.\nAnswer: s**(-32\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-2)\/((-8)\/(-3))). Let m = c - 4. Suppose -4*x + 3*x = -5. Solve 4*b = -m*b - 2*z + 20, -17 = b - x*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12*4)\/((-7)\/(-4))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -99. Let a be 0 + (1 - 0)*0. Suppose 5*u = a, 0 = -z*k - 4*u - 0*u. Which is smaller: 4\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*v - 1745 - 1187, -3*n + 3669 = 5*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:24 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 875, 1993, 3565?\nAnswer: 5591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-82)\/123*1)\/(1 + (-106102)\/106098)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -4bb?\nAnswer: 4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114393, 114389, 114383, 114375?\nAnswer: 114365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 5. Suppose -w + 10 = 4*w. Suppose 2*h - 2 = -i - 0*i, -2 = w*h. Suppose 0 = q - v - v + 10, -v - 22 = i*q. Calculate y(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*k + 5443 + 409 = -179*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -15 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23, 1782, -1, 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liqi when four letters picked without replacement from {z: 3, q: 2, l: 3, p: 4, i: 2, o: 2}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -2131107\nAnswer: -2131116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 21 = -0*k. Which is the closest to -1? (a) -2 (b) k (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 111*p**2 - 168*p + 1030. Is i(-83) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599556837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7\/((k**(-2\/21)*k)\/k*k) assuming k is positive.\nAnswer: k**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 345, 393, 541, 837, 1329?\n\"Answer: 8*a**3 + 2*a**2 - 14*a + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 15 = 3*l, -4*z = -17*l + 19*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -331523?\nAnswer: 331517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, q: 1, a: 1}. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8 + -4.6. Which is the nearest to m? (a) 1\/2 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 123714386 * 0.01.\nAnswer: 1237143.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 156941424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -59*u - 2. Let t(g) = 50*g**2 - 100. What is b(t(l))?\nAnswer: -2950*l**2 + 5898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (26\/(-8) - (-2)\/(-8))\/((-12)\/21672)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 c when three letters picked without replacement from yycycccyccyyyccc?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*q**2\/5 - 496*q\/5 - 38\/5.\nAnswer: -2*(q + 19)*(13*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1479?\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20b333 (base 12) to base 10\nAnswer: -517143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17160 and 1914.\nAnswer: 497640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3427*c**2 + 0*c**3 + 0 - 3*c**3 + 3 - 3427*c**2.\nAnswer: -3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-7) + 2552\/(-609). Put n, -83, 2 in decreasing order.\nAnswer: 2, n, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 26*r - 53. Determine m(-30).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -63220 rounded to the nearest 1000?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a**2 - 23 + 42*a**2 + 107.\nAnswer: -4*a**2 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 2616 - 2718 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3 + 1 + q - 1. Let f(o) = o**3 - o - 1. Let z be f(0). Let c be 4\/z + (0 - -1). Calculate u(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(8\/7)*r)\/(r\/r**(-10)*r))**(-10)*(r**8*r\/r**(-2\/7))**(-13) assuming r is positive.\nAnswer: r**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*r - 4 = 0, -2*v + 10 + 3 = -r. Let f(m) = m**2. Let u be f(2). Let x(o) = -2*o**2 - u*o + 4*o**2 - o**2 - 5. Give x(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -15.997352.\nAnswer: -159.97352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -13*b - 2 + 2. Let m(z) be the second derivative of 7*z**3\/6 + z. What is -3*f(x) - 5*m(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 8*a - 4. Suppose 5*t + 3*d - 11 = 14, -2*d = t - 5. Suppose 35 = 5*k - t*m, 6*k = k - 5*m + 35. Is 3 a factor of q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 0 - 64 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7975\/4930 + (-3)\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphghughuhhhhhthg. Give prob of picking 1 p and 1 h.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + 0.01. Let y(j) be the second derivative of -j**4\/12 - 25*j**3\/6 - 61*j**2 + 47*j - 1. Let v be y(-7). What is the smallest value in v, o, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - 1*-3*sqrt(2)) + (sqrt(2) - sqrt(22)\/(2*sqrt(11)))**2.\nAnswer: 1\/2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-four fifths of a meter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 1, d: 1, g: 2, i: 1, p: 1}. What is prob of picking 1 g, 1 q, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4340462 (base 7) to base 8\nAnswer: -2014655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-158)\/2 - (6512 + -6442)?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2728897 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 302251, -9, -1 in descending order.\nAnswer: 302251, 4, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 880 - -2343. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1950 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 44*o + 209. Calculate r(47).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggfff. Give prob of sequence gfg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 196*t - 2661. Calculate a(-209).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -467 + -410. Let i = -583 - g. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 0*z**2 + 86 - z - 35\/6*z**3. Let q(u) = -2*u**2. Determine q(s(h)).\nAnswer: -2450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3025 + -3020. Let y(i) = -13*i - 19. Determine y(u).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 8:44 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 199*i - 46985. Calculate d(139).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)\/sqrt(45) + sqrt(1274) + -2*sqrt(1274))\/(sqrt(10)\/(sqrt(80)*6))*5)**2.\nAnswer: 8320000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 13*z**2 - 15*z + 7. Let b be q(-13). Let v = 400 - b. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 37 + 43 = 0. Let q(h) = -h**2 - 17*h - 12. Let m be q(j). Let z = 2.82 - 2.42. Which is the nearest to -2\/5? (a) m (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 11600*s. Let u(h) = 26*h**2 + 7*h. Determine t(u(c)).\nAnswer: 301600*c**2 + 81200*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 87*w**3 + 2*w**2 - 13*w + 35. What are the prime factors of m(3)?\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.4 to zero decimal places.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + w = -2, 58*l + 31 = 83*l + 3*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46.3 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109227736 and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642921*-8.\nAnswer: -5143368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -212*k - 1324. Calculate v(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + 0 + sqrt(125) + 0 + 2*sqrt(405))*-2)**2.\nAnswer: 33120*sqrt(5) + 384480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*z - 1761746 = -1783729 for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40301, 29722, 19143, 8564?\n\"Answer: -10579*p + 50880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3932, 6976, 10020, 13064, 16108?\n\"Answer: 3044*p + 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86781, 173365, 259951, 346539, 433129, 519721, 606315?\n\"Answer: f**2 + 86581*f + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 366+7.3\nAnswer: 373.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -3614b3?\nAnswer: -3614b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4189766, -4189767, -4189768, -4189769?\n\"Answer: -s - 4189765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-1*-5)**2*-5.\nAnswer: -14000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c - 4. Let k be h(2). Suppose -3*g + 1 = -k. Which is greater: g or 4\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 24. Suppose h = -0*a + 2*a. Let x(z) = 4*z - 13 - 28 - 5*z + 2*z + 38. Give x(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17556959*f**3 - 4562*f**4 - 17556959*f**3)*(2 - 4 + 3) - 3*f**4 + f**4 + 4*f**4 to c*f**2 + g*f**3 + w*f + o + x*f**4 and give x.\nAnswer: -4560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 427 + -18. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 11:44 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.7 (b) -4\/9 (c) -8 (d) -0.24 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**5\/30 + l**3\/3 + l**2 - 3. Let w be g(-1). Suppose -i + 2*i - w*k - 20 = 0, -5*i + 142 = k. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6 - 2. What is the common denominator of 1\/t - (-364)\/(-48) and 61\/(-6) - (-12)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1913 + -1911. Calculate the greatest common divisor of 97 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2265.05955 to the nearest ten.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 33*d + 67 + 165 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 715, 2\/3, -4, 397, -3 in increasing order.\nAnswer: -4, -3, -2\/21, 2\/3, 397, 715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgdyi. Give prob of picking 1 i, 1 d, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**2 + 3*s - 1. Is i(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 20. Let j(k) = -4*k - 28. Let p(b) = -5*j(b) + 7*x(b). Let h(t) = -123*t**2. Calculate p(h(f)).\nAnswer: 123*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/3 + 3)\/(-2 + 3). What is the hundreds digit of (-185)\/((y\/(-9))\/(8\/24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -471*a**2 - 744*a**2 + 138*a**2 + 24*a**2 - 97*a**2 in the form s*a + r*a**2 + o and give r.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1\/(c\/(c**(2\/27)*c))*c**(-2\/11)*c**6 assuming c is positive.\nAnswer: c**(2047\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*o**2 + 7*o**2 + o + 32*o - 20*o - 13*o.\nAnswer: 52*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**4\/12 + 11*j**3\/6 + 5*j**2 + 23*j - 43. Let u(h) be the first derivative of m(h). Factor u(c).\nAnswer: (c + 1)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 33*o**2 + 15*o**2 + 20*o**2 + 0*o**2 - 2*o**2 + o**2 + (o - o + 2*o)*(0*o + 4*o - 2*o) + 0 + 0 + o**2 to p*o + a*o**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + -2 + -2 + -1*1. Let t = -5 - q. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 19?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 194 + 203 - 397 + 38*h**2.\nAnswer: 38*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 314.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33604675?\nAnswer: 5, 13, 103399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9541.35ml in litres?\nAnswer: 9.54135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-4)\/54*(-7)\/(175\/(-45))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 21 - 17 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562 = -556*b + 100*b - 4454 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (-246)\/48 - 100\/(-32). Solve 11*j + 70*j**2 - 51*j - 2*j**4 + j**4 - 72 + 40*j**g + 3*j**4 = 0.\nAnswer: -18, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 254 and 254 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*g = -9346950370, 4*n - 7477560296 = -4*g + g. Let h = -287889868135\/154 + n. Let v = h + 24654. What is the common denominator of v and 67\/18?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-6) + -1 + (-717)\/(-6)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(sqrt(17) + sqrt(51)\/sqrt(3))*2)**2.\nAnswer: 14688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1456\/(-104) - -24)*346\/(-32) - (-4)\/32.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (4 + 153\/(-21)). Put a, 5\/4, -1\/6 in descending order.\nAnswer: 5\/4, a, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 4:07 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3088, 3087, 3086, 3085?\nAnswer: 3084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.176876798573 + 812.176873288573. Let i = o - 812. What is i rounded to seven decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t + 20 = 0. Suppose 0 = -t*x + 9*x - 15. Let y = 159 + x. Is 54 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32023362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -551 + 23*w**2 + 548 - w + 5*w**2 - w. What is the units digit of b(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122850 by 1.\nAnswer: 122850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 13 + -2 - 2*(36\/8 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2132 - 1?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 364669999 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9774 and 94.\nAnswer: 459378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262 + -247. Suppose 6*h = 3 + s. Solve -p + 6 = h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 3, j: 1, w: 1, e: 6}. Give prob of sequence ssw.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 24004 = -24151 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-315)\/(-1540))\/(-8*9\/(-2880))*-11.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/434 and (-6446)\/(-20460) - (-9)\/75*-5?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-11) + 7\/(-22))*(-9223254)\/27 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j + 7474 = 139*j - 38*j - 3401 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -137*w - 14803. What is f(-108)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 411*m**4 + m**2 - 90?\nAnswer: 9864*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 39*a**2 + 43*a - 56. Let m(g) = 8*g**2 + 8*g - 10. What is -2*f(z) + 11*m(z)?\nAnswer: 10*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22509.825 - 23100.823831. Let t = 591 + z. Round t to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113154502 (base 6) to base 2.\nAnswer: 1000000100010100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, w: 2, i: 1, v: 9}. Give prob of picking 1 w and 3 v.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 660278 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 + 99*c + 22. Let a be f(20). Suppose -a*v - 4 = -s, s = -s - v + 13. Solve -m = -s*m + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 + 11*y + 21. Let s be x(-6). Let m = 67 + s. What are the prime factors of m?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r. Let l(k) = -k. Let t(o) = 33*l(o) + 6*n(o). Let q(p) = -20*p. Determine q(t(w)).\nAnswer: 60*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1330638598 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*749.\nAnswer: 3745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - -11?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdbbdbbbdddbbbbdbbd. Give prob of sequence bdbb.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4)**(-35)*(f\/((f\/(f*f**(-3\/22)\/f))\/f))\/(f**(-6\/13)*f) assuming f is positive.\nAnswer: f**(-39947\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-56)*6*(-1)\/(-3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.063 + -358.937. Let x = -357.27 - y. Let l = x - 0.5. Round l to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/2 (b) 1\/2 (c) 2\/193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 48*q**2 - 17*q + 104. Let j(h) = 17*h**2 - 6*h + 35. Let y(s) = -6*i(s) + 17*j(s). Calculate y(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwwawwaaww. Give prob of picking 3 w and 1 a.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9830.684mg?\nAnswer: 9.830684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1054 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.845*1.\nAnswer: -20.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 428, -79, -586?\n\"Answer: -507*i + 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.8 - 3.65. Let v = -159.95 - -159.80009. Let y = h + v. What is y rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -1, 142, -11, 1, -3 in increasing order.\nAnswer: -11, -3, -2, -1, 1, 2, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 5:32 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 50, -5, -4 in decreasing order.\nAnswer: 50, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 + 18 + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) + (-7104)\/(-21). Suppose -w + 4*w - 5*u = -208, 5*w - 4*u + h = 0. Let i = -31 - w. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 0.1 (b) 9\/638 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:10 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29099\/11 + 2645. Which is the nearest to z? (a) -0.1 (b) 1 (c) 0 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*i + 13 = 0, d - 2*i - 5 = -4*d. Let z(g) = 2*g - 1. Let r(m) = -m + 1. What is d*z(b) - 3*r(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 373, 877, 1549, 2389?\n\"Answer: 84*w**2 + 252*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1682492 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -20 - -7) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91188.58ms to microseconds.\nAnswer: 91188580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5585*a + 1835*a + 25 - 25 to u*a + x and give u.\nAnswer: -3750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/2 + 278*a**4 - a**3 - 556*a**2 + a\/2 + 278 = 0. What is a?\nAnswer: -556, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 4*o**2 - 5*o + 3. Let q be a(2). Let t be (-1250)\/(q*(-1)\/1584). What is t rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3986 - 0.1014. Sort w, 0.1, 2.43, 4.\nAnswer: w, 0.1, 2.43, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6532 in 1\/6, 2\/9, -1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + y + y)*(y + 2*y - 4*y) - 2*y**2 + 6*y**2 - 2*y**2 - 32*y + 6*y + 14*y + 14*y**2 in the form x + h*y + l*y**2 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/2, 208, 1\/12, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 409 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:28 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 1. Let s be (f\/24)\/(6411\/(-1936770)). Let d = 9\/2137 - s. Find the common denominator of d and 119\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8047, -16193, -24449, -32809, -41267, -49817, -58453?\nAnswer: -67169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 8:55 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 75208.6 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*m**2 - 787*m**3 - 426*m**3 + 28*m**2.\nAnswer: -1213*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**(7\/9)\/((z\/(z*z*z**(-7)*z))\/(z\/z**(-5))))**(-21) assuming z is positive.\nAnswer: z**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*z**2 + 95*z**2 - 778*z**2 - 535*z**2.\nAnswer: -1356*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-859 + 1759 - 491)*((-6 - 1 + 5)*(2 - 2 + 2*g**2) + 4 - 2*g**2 - 4 + g**2 - 1 + 1).\nAnswer: -2045*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-10))**46 assuming q is positive.\nAnswer: q**506","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((-522)\/126 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t = 62*t + 8. Let n = -2.42 - -44.22. Let x = n + -42. Sort t, x, -3 in decreasing order.\nAnswer: t, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124774 is divided by 12446?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6)*54\/(-3). Let l = 49 + -49. Suppose -v = d - l. Is v at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716105.1l in millilitres?\nAnswer: 716105100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.461 - 32.5. Round j to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a - 14. Let d be t(-3). Suppose 0*y - 1259988 = -2*z + 3*y, d*z = -y + 2520004. Round z to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15897?\nAnswer: 3, 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-10) - 4\/2) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -55\/6*y**4 + 6*y + 0 - 11*y**2 - 11\/4*y**5 - 1\/42*y**7 - 50\/3*y**3 - 5\/12*y**6. Factor u(z).\nAnswer: -5*(z + 1)*(z + 2)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 197*x**2 - x - 5. Let l be -3 + 9\/6 + (-5)\/10. Is s(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3460 - 1513. Is ((-6)\/9)\/((-2)\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uduuyudddydu. What is prob of sequence duuu?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from mzvvllmmwmlvlmmlwm.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3728 + 3942. Suppose 0*m = -6*m + 2*m. Sort m, -2, h in increasing order.\nAnswer: -2, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44446, -89043, -133770, -178621, -223590, -268671?\n\"Answer: z**3 - 71*z**2 - 44391*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/29, -0.1, -1\/131, -0.7, 0, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 1\/17 (c) -3\/7 (d) -0.05 (e) 3\/8 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002503 rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.31 + 0.81. Which is the nearest to 1\/2? (a) 43 (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(0*z**2 + z**2 + 0*z**2 + (-z + 2*z + 0*z)*(0*z + z + z) + 20*z**2 + 39 - 39).\nAnswer: -46*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12516037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l + 2. Let r(g) = -107*g - 103*g + 320*g - 103*g. What is r(f(j))?\nAnswer: 42*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 216.296, -1\/6, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 3*r - 4. Suppose -5*y + u - 18 = 2*u, 2*y + 18 = -4*u. Calculate x(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -40751 (b) 13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -0.069, 0.4 in decreasing order.\nAnswer: 0.4, -0.069, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**7\/280 + j**6\/45 + 5*j**3\/6 + 4*j**2. Let n(u) be the first derivative of q(u). Find the third derivative of n(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2525 + 5*c + 2525)*(-4*c**2 + 4*c**2 + 3*c**2) + (-9*c - 70 + 70)*(7*c**2 - 2*c**2 - 3*c**2).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008247.\nAnswer: 1008247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 160. Let l = -67 + p. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2865152 and 1399.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 13*l - 204. Determine u(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-1\/27)*v)\/v*(v*v**(-5\/4))\/v)\/((v\/v**(3\/4))\/(v*v**(-1\/36))) assuming v is positive.\nAnswer: v**(47\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, 1.1, 3, -518?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n - a - 2 = 2, 0 = -5*n + 3*a + 12. Suppose -4*m = -n*m. Suppose -2*c + m + 6 = 0. Solve -c*x = 3*d + 9, 0*x = -3*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664260.\nAnswer: 2, 3, 5, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/17 in 2, -2007, -3, -10, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3362 and 51932814?\nAnswer: 3362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20107815 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -98*l. Let g(i) = 413*i**2. Calculate g(u(s)).\nAnswer: 3966452*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16 + 2*s + 8*s + 20*s**2 + 22*s + 4*s**3.\nAnswer: 4*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(35)\/(sqrt(55)\/sqrt(11)))**2) + 1 + ((-2 + sqrt(7) + -1)*-5)**2.\nAnswer: -149*sqrt(7) + 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -10 (b) 21 (c) 1 (d) -0.4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109\/981*(-2 - (-100)\/35)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.15654 - 0.21654. Sort q, -0.5, 56 in decreasing order.\nAnswer: 56, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38 and 73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 11. Let q(c) = 63*c - 24. Is q(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*o - 26*g = 352*o - 13*g + 8*g - 29, -5*o + 2*g - 22 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 29317?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0*r**2 + r**2 + 4*r**2. Let z be 24\/2*(-3)\/(-6). Let b(g) = -g + z + 6 - 12. What is k(b(y))?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 11, -5, 5, -0.63?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -16 in descending order.\nAnswer: -1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -478*b**4 - 31 + 23 + 9 + (b**2 + 4*b**2 - 6*b**2)*(3*b**2 + 0*b**2 - 5*b**2).\nAnswer: -476*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 plus -6001098?\nAnswer: -6001089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 30. Which is the closest to 0.1? (a) -1 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38626 at least -38577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(10)*-1)\/((sqrt(18)\/sqrt(3))\/sqrt(3)) + (((sqrt(210)\/sqrt(7))\/sqrt(6) - (-2*sqrt(15))\/sqrt(3)) + 5)**2.\nAnswer: 70 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d**2 + 4*d + 9. Let a(j) = 8*j**2 - 3*j - 8. Calculate 4*a(l) + 3*v(l).\nAnswer: 8*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.06009 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + o - 1)*(32*o - 151*o - 48*o) to q + v*o**2 + f*o and give v.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 5*a**2 + 6*a - 8. Let h be x(6). Let k = h - -9. Let s = 7\/5 - k. What is the nearest to -1 in s, -3, 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 2*d**3 - 2*d**3 + (-2*d**2 + 0*d**2 + 4*d**2)*(-d + 4*d - d) + 0*d + 0*d + 2*d**3)*(103606*d + 133849*d - 164727*d).\nAnswer: 290912*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x + 3*d - 18, 5*d = 2*x - 12. Suppose -w - 5*m + 30 = w, 4*m = 2*w + 6. Let f = 10 - w. What is the least common multiple of x and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 192, 186, 176, 162, 144, 122, 96?\n\"Answer: -2*b**2 + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.62 + -6.79. Sort g, -0.4, 0.5.\nAnswer: -0.4, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**4 - 2364726*r**3*v - r*v - 13783*r - 11*v + 6 wrt r?\nAnswer: -36*r**2 - 14188356*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - 106. Sort p, -3, -2\/7, 1\/4.\nAnswer: -3, -2\/7, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:49 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 447, 663?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.11 + 0.11. Let f = -6.5 - d. Let h = 0.06 - -0.24. What is the nearest to -1 in f, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-2\/3)*n)\/n))\/n*n)\/(n*(n**(-3\/8)\/n)\/n)*n*n\/(n*(n**(-1\/2)*n)\/n)*n*((n*((n*n**2*n)\/n)\/n)\/n)\/n*n assuming n is positive.\nAnswer: n**(157\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -15*g**3 - g**2 - g - g - 5 + 4. Let q be t(-1). Let o(m) = -m**3 + 5*m**2 + 5*m + 5. Let c be o(5). What is the greatest common divisor of c and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 <= 741\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-8)*q)\/(q**2\/q))\/(q**(-1\/3))**24)**(-23) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17056237 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x + 3. Let q = 0 + x. Let p = 9 - 6. Which is the biggest value? (a) q (b) p (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5 - 1 - 2*f**2 + 5 as c + m*f**2 + s*f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let w be -4 + -1*4 + m. Let x(a) = a + 8. Let j be x(w). Solve -4*d = 5*y - 15, y + 6*d = j*d + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35 + 0.05. Let k = 36.2 + -36. Which is the biggest value? (a) -4 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 438735*a + 2632446.\nAnswer: -(a - 438741)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 7 = 1, 0 = 5*o - 4*b - 26. Suppose o*k = -k + 6. Let -3*q**k + 1 + q**2 - 1 - 4*q = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -511662 (base 7) to base 14.\nAnswer: -23a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express (-548 + 187 + 262)*(0*l + 3*l + l)*(-4 + 2 + 3) as m*l + d and give m.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/18)*c\/((c**40*c)\/c))\/(c*c**10*c*c\/(c**(-6\/11)\/c)*c) assuming c is positive.\nAnswer: c**(-10811\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -465545.37?\nAnswer: 465545.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.7 + -28.7. Let c be (-3)\/((-3)\/33*-1). Are c and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-7 + 8) - 4) + -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvw when three letters picked without replacement from fwxwfvj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12806 - 4266 - 4268 - 4272 - 34786*v.\nAnswer: -34786*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 2\/(-3))*(-210)\/(-40). Solve 4 = 4*z - 3*r, -12*r + u*r + 4 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - 9. Let j = t - -13. Is 10 a factor of 19 - (j\/3)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l - 3. Let m be t(1). Find the third derivative of 4*s**5 + m*s**5 - 20*s**2 + 2*s**2 + 0*s**2 wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1710048, -3420149, -5130250, -6840351, -8550452, -10260553?\n\"Answer: -1710101*c + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 9 - (-2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + -0.01. Let m = -0.02 - p. Which is the nearest to 1\/3? (a) 4 (b) m (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24721 - 8239 + 6*w - 43*w - 8240 - 8242.\nAnswer: -37*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 428787774 by 5826.\nAnswer: 73599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 9*o**2 + 9*o + 9. Let u be (7 - 9) + (-7 - -1). Let y be m(u). Let q = 11 - y. What is the greatest common divisor of q and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2613 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*a. Suppose 5*j + i - 9 = 2*j, -3*i + 13 = a*j. Suppose -15*w + 9*w - w = -56. Solve 14 = -j*r + w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/55*((-44)\/(-16))\/11.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.5 (b) -17.3 (c) -4 (d) -3\/5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -4, 8, 3\/2, 0.05?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (18\/((-81)\/9))\/((-12)\/18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 56*v - 14976 = -32*v. What is the highest common divisor of v and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-3))\/32*-4)\/((-1)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (808\/(-606))\/(3*-4*1\/(-3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 49*j**2. Let n(d) = -7*d**2. What is g(n(l))?\nAnswer: 2401*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 110*b**4 - 1005*b**3 + 1785*b**2 + 2525*b - 375 = 0?\nAnswer: -1, 3\/22, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2154726 by 51303.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = 268 + 319 - 182. What is the remainder when 487 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 2736591765.\nAnswer: -2736591766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t**2 - t**2 + 0*t**2)*(1 + 0 - 3) + 0*t - 2*t**2 + 0*t)*(0*t**2 - 2*t**2 + t**2).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.0357, -72, -0.4, -2\/3 in descending order.\nAnswer: 1, 0.0357, -0.4, -2\/3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:11 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -16*w - 258. Let n be u(-16). Which is the third biggest value? (a) 2\/7 (b) -56 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120102 + 220?\nAnswer: 121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -38, -56, -78, -104, -134?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -o + 15 - 2, 2*o = -2*v + 8. Let p = 22.1 + -22.5. What is the closest to -2\/17 in p, 2, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 633, 947, 1261?\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4467 = b, 5*w + 13*b - 8*b - 5580 = 0. Suppose -q - 10*f + 1123 = -12*f, 4*f - w = -q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 9*g**2 + 4230*g + 2712*g + 7*g**2 to s*g**2 + v + u*g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*d + 4 = -0*n, -n = 4*d - 5. Is 9\/8 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1417 by 5.\nAnswer: -1417\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 473 + 12?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2277 + 5665 = -11*j. Let t = -6502\/9 - j. What is the biggest value in t, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 45, 5 in decreasing order.\nAnswer: 45, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 426779182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 8*f**2 - 2*f + 2. Let h be t(7). Suppose 0 = 4*a, 4*s + 0*s = -a + 256. Let o = s - h. Solve -b + o = -5*i, 4*i + b + 18 + 0 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13897, -14300, -14965, -15886, -17057, -18472, -20125?\n\"Answer: j**3 - 137*j**2 + j - 13762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/90020 and -41\/930?\nAnswer: 8371860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let n(v) = -821*v**2. What is m(n(q))?\nAnswer: -821*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290 and 115?\nAnswer: 6670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 2. Let d be m(-2). Suppose 120 = 5*y - 4*f, -y = -2*f - 18 - d. Suppose 0 = -30*u + y*u + 76. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1814*z**2 + 25 + 13 + 11 - 53 + 127*z**2 in the form s*z**2 + w*z + k and give s.\nAnswer: 1941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.243?\nAnswer: -0.0972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 72, -1\/10, -4\/11, -1, -56780?\nAnswer: -56780","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 - 46 + 59*g - 62)*(3 - 2 + 7).\nAnswer: 472*g + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1218, -5, 13 in descending order.\nAnswer: 13, -5, -1218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1100210?\nAnswer: 1100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 21. Let l be (-110)\/(-4)*(-4)\/2. Let i be 2\/(-3) - l\/15. Put i, 1, c in decreasing order.\nAnswer: c, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 45*f**2 - 13*f - 2713. Determine h(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 9*z + 26. Let b be a(11). Suppose m - 3 = -3*r, -b*r + 2*m = 5*m + 1. Suppose 0 = n - 29 + r. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + -2 + -2 + -27 + (-18 - -13).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 455961 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12220200120 (base 3) in base 10?\nAnswer: 116412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 563572 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -34. Suppose -t - 26 = -m*w, 3*w - t = 8*w - 24. Suppose w*z - 66 = -z. What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 29 = 43. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ply when three letters picked without replacement from {p: 1, q: 2, y: 1, b: 1, l: 1, h: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtttcstscssosmtx. What is prob of picking 1 o, 1 m, and 1 s?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22733 is divided by 242?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -27. Suppose -g - 3 = -a. Suppose -g*p - 12068 = -17*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20678*x**6 - 145*x**2 + 23*x + 1 wrt x.\nAnswer: 2481360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -463*y + 3*y**2 + 463*y + (y - 2*y - y)*(2*y + 0*y - 3*y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26058 is divided by 840.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36739\/16 + 2294. Let f = -3\/8396 - 140621\/33584. What is the common denominator of f and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/167 in -1\/2, 6, 2\/23, -5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y + 2*y + y)*(-16318*y + 8588*y + 8381*y)*(-y**2 - 2*y**2 + 4*y**2)*(1 + 2 - 1) to g*y**2 + h*y**4 + j*y**3 + f*y + a and give h.\nAnswer: -2604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2) + -2 + sqrt(18)\/sqrt(6)*3 - (1 + (2 + (sqrt(243) - (0 + sqrt(243)) - sqrt(243)))**2).\nAnswer: -250 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -2\/13 (c) 425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8451 = 3*r + r + 3*g, 10569 = 5*r + 2*g. What are the prime factors of r?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 3*u**2 + 2*u + 2. Let y be k(-2). Let w(x) = x**3 + 5*x**2 - 10*x + 30. Let l be w(-7). Suppose 5*v = -d - 5, -2*d - y = d + l*v. Is d != 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3\/7 - 1660164*c**2\/7 = 0.\nAnswer: -553388, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16779*a**3*o + 2*a**3*r + 1430718*a**2 - 216*a*o*r - 23*a*r wrt o.\nAnswer: 16779*a**3 - 216*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*o = -8, -z - o = o - 1. What is the tens digit of 35\/21*3 + z + 94?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -31*z**6\/2 + 2*z**5\/5 + 62*z**3\/3 - 4*z - 245. What is the third derivative of x(g) wrt g?\nAnswer: -5580*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u - 6*u**2 + 0*u**3 + 0 + 0*u**4 + 1\/20*u**5. Let o(q) = -4*q. Determine o(z(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 27 = g + 5*k, g = -3*k - 6. Let u = 436 - 456.7. Let r = u - -15.7. What is the nearest to -6\/7 in -1, r, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*y = -233*y + 396. What is the least common multiple of y and 121?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -294748*u + 294006*u - 61586 for u.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -9 - (3 - (2 - -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (2 - -1)*-1. Suppose 0 = 7*f - 4*f - 3, -2*i + 2*f - 6 = 0. Sort w, 5, i in increasing order.\nAnswer: i, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 9:01 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let u be (-3 - -5) + 0 + -6 + 4. Let b = -18 + 32. Let c(r) = -r + u*r - 3*r - b*r. Calculate c(j(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -232.32 + -2.58. Let m = 235 + i. Is -11 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9065.47359 to zero dps.\nAnswer: 9065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 167, 0, 2 in decreasing order.\nAnswer: 167, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3265137?\nAnswer: 3, 31, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 85*i - 154 - 54*i + i**2 - 57*i. What is the smallest common multiple of n(33) and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 - -110. Suppose 0 = -2*t - 10, -2 - 5 = -2*j + 3*t. Which is the closest to q? (a) j (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13670.6787616 and -0.1783?\nAnswer: 13670.5004616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 20 = -2*r. Solve 3*j + r = 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 436 = 5189. Let b = s - -7012. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 6*n + 2*n)*(-1 - 3 + 6)*(-34*n - 20*n - 17*n) in the form i + c*n + y*n**2 and give y.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 17. Let n be w(-12). Suppose 5*z - n = -3*s, -30 = -3*s + 5*z - 43. Let q be (2\/12)\/(12\/(-56)). Is s < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-5) - (3 - -2))*20. Let j = -55 - d. What is the highest common divisor of 10 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 12:55 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5 = u + 8, 5*u = 5*i - 30 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24202*p*z**3 - 253*p*z - p + 2*z**4 - 51*z**3 - 17760*z wrt z?\nAnswer: -145212*p*z + 24*z**2 - 306*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14331 (base 11) in base 15?\nAnswer: -6077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/11796880 and 29\/17660.\nAnswer: 11796880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-12) + (-1)\/6. Suppose n*a + a = 9. Let j(u) be the first derivative of -u**3\/3 + u**2 - 3*u + 1. Determine j(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w - 18 + 18)*(152*w - 1684*w + 144*w - 761*w + 138*w) in the form p*w + z + x*w**2 and give x.\nAnswer: 6033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61027 (base 8) to base 14.\nAnswer: -9219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/7 + 3664*o**3\/7 - 1674444*o**2\/7 - 479984*o - 240254 = 0.\nAnswer: -1, 917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003658 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-19 - (2 + -4)). Suppose 13*d - k*d = -24. Find the third derivative of 5*i**d + 7*i**4 - 7*i**4 - i**2 - 5*i**2 wrt i.\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4033, 16135, 36315, 64585, 100957?\n\"Answer: 2*z**3 + 4027*z**2 + 7*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488553178 to the nearest integer?\nAnswer: 22103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n*n)**(-44))**50*(n\/n**(-2\/9)*n*n\/(n*n**(-3)\/n)*n)\/(n*n**(-5)*n*n**(-4)) assuming n is positive.\nAnswer: n**(-19672\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3799 - -7599\/2. Which is the nearest to w? (a) 0.5 (b) -1 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -373*q - 17966. Let s(o) = -140*o - 5989. What is 3*d(l) - 8*s(l)?\nAnswer: l - 5986","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161.29 + 161.19. Suppose -d = -t - 107 + 31, 0 = -3*d - 4*t + 228. Let h = 834\/11 - d. Sort u, -4, h.\nAnswer: -4, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 690 + -382. Suppose s + 68 = -4*b. Let i = -89 - b. What is the third biggest value in -23, i, -0.2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5769 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/850 and -37\/12.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 - 77860*y - 934032 = 0 for y.\nAnswer: -38918, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 18*d = 22*d - 6880, 3*y + 4*d - 5165 = 0. Is y a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113981904 and 5772?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 62a1 (base 11) to base 7\nAnswer: 33212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -19. Sort 2, t, -14 in increasing order.\nAnswer: -14, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f + 558. Is 11 a factor of d(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.3 (b) 0 (c) 5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 4, d: 3, c: 1, a: 4}. What is prob of sequence ay?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = -2*k - 1, 5*g = 3*k + 20. Let t(c) = 3 - g + c**2 - 4 + 5*c + 5. Let r = -4998 + 4995. Determine t(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 12*s**2 - 12*s - 11. Let h be f(-11). Suppose 56 = 2*v + 2*c, h*v + 3*v - 108 = 5*c. What is the remainder when v is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 54 = -a, -5*j + 2*j + 174 = 3*a. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2 + 1. Let y(a) = 2260*a**2 + 2230. Let v(w) = y(w) + 18*z(w). Differentiate v(f) wrt f.\nAnswer: 4268*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8108a9 (base 12) in base 6?\nAnswer: -111045533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 58*w**2 + 46*w**2 - 5*w**2 in the form o + b*w + c*w**2 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from jeejejbbbwebewe.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/4)*b*b)\/(b\/(b*b**(-7\/3))))\/(((b**(1\/3)*b)\/b)\/(b*b*b*b**(3\/2))) assuming b is positive.\nAnswer: b**(61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-4)*(-2568)\/6206.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 3232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or -0.123?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110911050 and 900.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 707 - 712. Put -668, w, 4 in descending order.\nAnswer: 4, w, -668","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8467, 67770, 228737, 542200, 1058991, 1829942?\n\"Answer: 8472*y**3 - y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177.6 + 172.6. Let v be (4\/8)\/((-18)\/8). What is the nearest to -0.1 in l, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 3*w**2 + 3*w - 2. Let n be q(3). Let x(c) = -214285*c - 5. Let h be x(n). What is h rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87188, 174110, 261026, 347936, 434840, 521738?\nAnswer: 608630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*u**3 + 43*u**3 + 2*u**4 + 0*u**2 - u**2 - 46 + 2 in the form h*u**4 + t*u**2 + o*u + p + r*u**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 4233151 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 17 (b) -7 (c) -158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/2 - 40431*w**3\/2 + 10086141*w**2\/2 - 649769625*w\/2 + 929812500 = 0. Calculate w.\nAnswer: 3, 125, 13224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c - 1?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + 39. Suppose -f*g + 94*g = 3. What is the remainder when (4 + 21)\/(2*g\/2) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2147 = -k, 5*k + 5*j - 8*j - 10725 = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 0 - 2*d**2 - 1\/12*d**4 + 108*d + 5\/6*d**3. Suppose n(f) = 0. What is f?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + t - 1. Let c(s) = -22*s**2 - 3*s + 7. Calculate -c(m) - 6*d(m).\nAnswer: 16*m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.2 (b) 6 (c) -0.06 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 5*m + 195 + 234 - 391, 3*q + 8*m - 71 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3 - 275*w**2 + 254*w + 5480 = 0. What is w?\nAnswer: -4, 5, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bee when three letters picked without replacement from bzeezmejezeg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 - -2.3. Let a = 3 + w. Is a at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*g = 2, g + 7 = -116*a + 121*a. Let -5\/6*v**5 + 0*v + 1\/3*v**a - 3\/2*v**3 + 0 + 2*v**4 = 0. Calculate v.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - 16. Let n be (o\/108)\/((-1)\/9). Suppose 2*h = 3*l - 4*l + 34, 14 = h + n*l. Solve -2*w + 2*v = -h, -12 + 32 = -5*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-52)\/8 + 3 - -4. Which is the biggest value? (a) -1 (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38394 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -0.4. Let o = q + 0. Suppose m + 8 = -6*y + 3*y, 0 = y + 1. Which is the closest to -0.1? (a) m (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*z + 33 = -722. Solve -2*w + 4*q = 8, 4*w - 15 = z*q - 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 2, r: 4, n: 1}. Give prob of picking 3 r and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + 2114871.\nAnswer: 2114777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 368702350 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 26 + 1838. What is the remainder when l is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/24 - 5*x**2 - 16. Let g(w) = 175*w. Calculate g(m(y)).\nAnswer: 175*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 209651.3 grams?\nAnswer: 209.6513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57985762, -57985736, -57985724, -57985732, -57985766?\n\"Answer: -o**3 - o**2 + 36*o - 57985796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 25685.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31674280.3 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 314 and 28.\nAnswer: 4396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 f when three letters picked without replacement from {e: 6, f: 7}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ddd2 (base 14) to base 11.\nAnswer: -52797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1407 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 871 and 6097?\nAnswer: 6097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + x**2 - x**2)*(2*x + 0*x + 0*x) + 5 - 5 + x**3 as r*x**2 + q*x + j*x**3 + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 533 in 0.5, -3, -0.1, 4, 40\/7, -0.4?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*s = -1206*s + 642*s - 1248 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 4)*(-40*s - 3*s + 8*s - 66*s)*(5 - 3*s - 5).\nAnswer: -2424*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268*p**2 - 391*p**2 - 121*p**2 - 773*p**2 + 2178*p**3 wrt p.\nAnswer: 13068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5389 in -1, -0.4, -1\/16, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**3 + 834*n**2 - 5*n**3 - 200*n**2 + 4*n**3.\nAnswer: -9*n**3 + 634*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - y - 1. Let m be f(3). Let j be (-26)\/(-30) + m\/(-5). Let k be 9\/105 - 15\/(-75). Sort 4, k, j in descending order.\nAnswer: 4, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.6678474 and -0.3.\nAnswer: -1.40035422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/9*-9*1\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 + 0. Suppose 4*x = -29 + v. Solve 4*q = k - x, -2*k = -2*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1058457 divided by -98\nAnswer: 1058457\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10))\/(12\/(-30)). Let z be (8\/(-3) - -2)*(-9)\/2. Suppose -3*q + d = 4, -3*q - z*d + 9 + 3 = 0. Solve 0*j - u*j + 2 = q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 1, 0 in descending order.\nAnswer: 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 + -1111110100111011100?\nAnswer: -1111110100110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6357160473*y + 2*y**2 + 6357160473*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 0. Which is the second biggest value? (a) -0.08 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/22371 and 93\/1220.\nAnswer: 27292620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, f: 4, a: 3, v: 3, w: 4}. What is prob of picking 1 a, 1 f, and 2 w?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8)\/i*i**8*i)\/(i*i**1*i*i\/i**7))\/((i**9\/i**(2\/5))\/(i**8\/i*i\/(i*i\/(i*i**4*i))*i)) assuming i is positive.\nAnswer: i**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 39 = 61 + 32. Let z(i) = -i**2 - 10*i - 8. What is z(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/5 - 18789084*y\/5 - 37578156\/5.\nAnswer: -3*(y + 2)*(y + 6263026)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**2. Let b(v) be the third derivative of -v**6\/90 - v**3\/2 + v**2. Let w(x) be the first derivative of b(x). What is z(w(h))?\nAnswer: -80*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 2*z**4 - 62 + 35 + 3*z + 0*z**4 - 6*z**2 to s + c*z + f*z**2 + r*z**4 + i*z**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8588 + 31719. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*g = -286*g - 15*g - 36594 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-13799991)\/(-12)) + (-1)\/(-4). What is o rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnw when three letters picked without replacement from wnwwnwwwwwwww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 b when three letters picked without replacement from {i: 3, c: 1, g: 2, b: 2, q: 2, m: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - -154. Is (a\/(-2))\/((-9)\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -19\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8559)\/4755)\/(2\/(-6)). Factor 24\/5*d**2 + z*d**3 + 0*d + 3\/5*d**4 + 0.\nAnswer: 3*d**2*(d + 1)*(d + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(49)\/sqrt(7)*-4 + sqrt(28)\/(3*sqrt(4))).\nAnswer: 55*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 at most 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*h**2 + 41*h - 62*h**2 - 41*h + 6*h**2 in the form s*h**2 + g*h + k and give s.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12478819.2 rounded to the nearest one hundred thousand?\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(-36) - (-38)\/(-8). Let r = y - -6. What is the third biggest value in r, 2\/7, 2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**3 - 2281*m + 2294*m + 2*m**3 to the form x + k*m**2 + z*m + p*m**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2007 is divided by 281.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799139 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -151079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -13*g**2 - 7*g. Let j(b) = b - 1. Let d(t) = -t + 6. Let p be d(7). Let n(q) = p*w(q) - 2*j(q). What are the prime factors of n(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2. Let s(a) = -a**2 - 7*a - 1. Suppose -2*h - 5 = -h. Let l be s(h). Let i(j) = -10*j + l*j - 4*j. What is w(i(y))?\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Suppose y = -0*c + 4*c - 16, 3*c - 15 = -l. Suppose 0*t**4 + l*t**4 - t**4 - 2*t**2 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -b + 2 + 5, 2 = -m. Suppose 102 = 4*d - 2*j, 2*d - 49 = b*j - 4. Suppose -5*h = -d - 143. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*a - 5 + 25 = 0, 5*a = -10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 p, 1 j, and 1 z when four letters picked without replacement from zjpbzxxgp?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102001 - -10?\nAnswer: 1102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*j = j - 3, -5*j + 25 = -5*q. List the prime factors of (-23)\/((-548)\/78 - q).\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 5*t, 40 = -4*q - 18631*t + 18627*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 2*s. Suppose t = -b - 1 - 4, 0 = 3*t - 2*b - 10. What is j(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0 + 0*w + 1\/8*w**4 - 3*w**2 + 0*w**3. Let a(s) = 7*s. Let t(h) = 3*a(h) - 6*j(h). Let n(r) = 2*r**2. What is n(t(y))?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*o + 16, -5*z + 2*o + 2*o = -10. Let u(x) = 2*x + 108. Let b(f) = -5*f - 107. Let m(y) = z*b(y) - 3*u(y). What is the derivative of m(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002457 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 - -8 - -3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(7\/8)*j**(2\/47)*j)\/(j\/j**2*j**(1\/23)*j) assuming j is positive.\nAnswer: j**(16207\/8648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2170*i - 2170*i + 11903*i - 2164*i - 3235*i - 2163*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g - 1. Let n be i(1). Let x = 21 + n. Let r(z) = -4*z + 63. Let b be r(0). Calculate the greatest common divisor of b and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9365 divided by 6\nAnswer: 9365\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -651*i**2. Let z(s) = 10*s. Calculate h(z(r)).\nAnswer: -65100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89720543017 - 0.14.\nAnswer: -89720543017.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - d + 2*d + (1 - 3 + 6 + (1 + 2 - 4)*(0 + 4 - 2) + 2 - 3 + 2 + 56 + 22 + 27)*(-d + d - 2*d) in the form n*d + u and give n.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-four fifths of a milligram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7223*q + 7257*q = 14450*q - 330 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(-5))\/h)\/h)\/h*h**2)\/(h**(-1))**45*h**(-2\/7)*h**(1\/5)\/h*h**3*h*h\/(h*h\/((h*h\/(h*h**(-2\/11))*h)\/h)*h)*h assuming h is positive.\nAnswer: h**(20442\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1476982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -32, -5, -3 in decreasing order.\nAnswer: -3, -4, -5, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 564*j**3 - 11*j - 9.\nAnswer: 3384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21504299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -12.468.\nAnswer: -12.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 30*i - 86. Let x be c(3). Suppose 2*s - x*w - 1034 = 0, -5*w = -s - 4*w + 515. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**2 - 3320*j + 36036 = 0. What is j?\nAnswer: 11, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 36.52. Let m = -0.08 + s. Put -0.4, m, -0.3 in ascending order.\nAnswer: -0.4, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/9)\/((-42)\/108). Let k(s) = -12*s**3 + 3*s + 3. Let w(x) = 24*x**3 - 7*x - 7. Determine b*w(a) - 14*k(a).\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**2\/2 + 2*y - 5. Let u = 5 - 11. Calculate q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -441513, 2, 54, -5, -2.\nAnswer: -441513, -5, -2, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 4. Let r = -3.5 + 3. Let z = 3424 + -3424. Which is the third biggest value? (a) r (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*g**3 - 86 - 2*g**2 - 81*g**3 + 45*g**3 wrt g?\nAnswer: -66*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197641093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 501.7 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n - 6 = 0. Let s(j) = -3*j**2 + j + 0*j**3 + 0*j + j**3 + 5*j**n. Let c be 2*2\/(-6)*3. What is s(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 38 = 6. Suppose 5*k + 2*g + x = 35, 0 = 5*k + 3*g - 21. Solve 5*q - 10 = 5*b, 4*b + 6 = k*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 0.258?\nAnswer: -2.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - -1c4c?\nAnswer: 1c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 2. Suppose t = 4*b - 14, -6*t = 3*b - 2*t - 1. Suppose 6 = -0*y + b*y. Let g be 1 - (1 - y) - 6. Calculate k(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 74.1. Let a = -4.147 + 0.447. Let i = a + t. Put -4, -1\/7, i in increasing order.\nAnswer: -4, -1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 43. What is the second biggest value in -1\/4, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2800 and 92680?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -27. Let n(l) = 1 - 2*l**3 + 0*l**3 + l**3 + l**2 + l. Let f be n(u). Let w(d) = 2*d**2 + d + 1. Determine w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 998 - 832. Suppose -p = -5*l - q, 3*l + 2*q - 2 - 92 = 0. What is the remainder when 65 is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(0 - 1 + 0) + (-4 - 2 + 7)*(3 + 0 - 2))*(3 + 1 - 3)*(-l**2 - 4 + 4).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83126898 is divided by 558?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 31*a**3 + 0*a + 6*a - 16*a**3 - 18*a**3 - 2*a**4 to b*a**3 + j*a**4 + g*a**2 + n*a + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -20 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - 5*w - 2*w + w - 6*w + 4*w + (-4*w + w + 2*w)*(4 - 2 - 1) - 1 + 1 - w)*(40*w - 2395 + 2395) to the form h*w**2 + k + f*w and give h.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54191603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1 + 5*m - 4 + 2. Let x(v) = -v. Let r = 1 + 2. Suppose 2*y + 16 = -a - r*y, 0 = -4*a + 5*y - 14. Calculate a*x(h) - b(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/17 + 1910*z**3\/17 - 300996*z**2\/17 - 74317568*z\/17 - 2840875840\/17 = 0.\nAnswer: -86, -55, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2904 + -2904.3. Which is the closest to 2? (a) v (b) -5 (c) -1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxqqkkqqkkckqvc. Give prob of picking 1 q and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 828012.8 milligrams in nanograms?\nAnswer: 828012800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 1, 7 in decreasing order.\nAnswer: 7, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 6*l + 9. Let u be g(-7). Let v = u - -2. What is the smallest common multiple of 4\/18 + (-248)\/(-18) and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 14 - 12 = -a, -2*a = 5*j - 37. Calculate the remainder when 6 is divided by a\/(-2)*(-8)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/17 in -1, 2\/93, 1, -2, -4?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, 0, 0.3, 2, 3.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/3))**(-50) assuming m is positive.\nAnswer: m**(-200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -240, -724, -1580, -2910?\nAnswer: -4816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (211 - 1002*j + 1985*j - 992*j)*(0*j**2 + 0*j**2 + j**2).\nAnswer: -9*j**3 + 211*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 446362?\nAnswer: 1785448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36359*m - 691*m**3 + 36359*m.\nAnswer: -691*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3920887872 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + g - 13 - 12 = 0, -2*v + 14 = 2*g. Let w be 2 - (0 - (-17)\/v). Let o = 5 + -3. Which is the smallest value? (a) 0 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -289, -579, -869, -1159?\n\"Answer: -290*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*z + 7 - 3 + 0*z to the form l*z + n and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42454 is divided by 3857?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2545424\/37 or 68796?\nAnswer: 2545424\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, b: 14}. What is prob of picking 2 r?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v + 7. Let t(p) = 6*p + 8. Let w(l) = -7*q(l) + 6*t(l). Let r be w(4). Find the third derivative of -24*s**2 + 41*s**2 - 18*s**2 + s**r wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 - 235608*r**3 + 7777968*r**2 - 85568296*r + 313769940 = 0. Calculate r.\nAnswer: -58935, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*a**2 - 20*a**2 - 4*a**3)*(0 + 0 + 3*a)*((-1 + 2 + 0)*(2 - 2 - 1) + 2 + 0 + 2) as p*a**2 + u*a**4 + q + z*a**3 + s*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -273 divided by 135\nAnswer: -91\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 0.8 (b) -0.3 (c) 98 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/13 - 42*q\/13 + 44\/13.\nAnswer: -2*(q - 1)*(q + 22)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 3:41 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117 + 120. Let f = -23 + 33. What is the remainder when (10\/(-20))\/(w\/(-474)) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**3 + 4*t + 7. Let q be b(-3). Suppose -5*s - g + 506 = -111, s = 2*g + q. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/11 + 7*c**2\/11 - c + 5\/11 = 0. Calculate c.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (57\/2)\/((-4)\/8). Let x be ((-8)\/(-6))\/(2\/p). Let m = -9 - x. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*p - 61*p = 96. Suppose -4*q + 2*q = 0. Solve q = -s - 3*s + p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293550 divided by 58710.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -23, -69, -145, -257, -411, -613, -869?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5714.016441 - -5714. Let h = 120.982229 - q. Let m = -121 + h. What is m rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 116*n**2 - 10*n - 20. Let q be r(-3). Suppose q + 3086 = 9*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*a**3 - 8011*a + 8011*a + 6 + 28*a**3 wrt a.\nAnswer: 198*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3 + 14776*l**2 + 13660400*l + 27261728 = 0.\nAnswer: -1846, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 26 - 131 - 23 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 3*a + 27, 9 = -2*m + 3*a. Sort 5, m, 0 in decreasing order.\nAnswer: 5, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 1. Let h(t) = 10*t + 5. Let u(l) = -l - 1. Let d(i) = h(i) + 5*u(i). Give d(n) + 3*j(n).\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5280*r + 2576 = -5168*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c3a90 (base 13) in base 16?\nAnswer: -165ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 75*k + 23 - 69*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -95, -105, -115, -125, -135?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17374220489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/10)\/((-5)\/((-150)\/12))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14 - 0) + (-2622)\/(-184) - (-21)\/(-196). Factor i*v + 1\/7*v**2 + 0.\nAnswer: v*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/17930 and -179\/136950.\nAnswer: 22322850","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1791 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21712.000041033 - 21712. Round y to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 1. Let l be r(2). Let z = -6 + 9. Suppose v - 1 = w - 3*w, -z*v + 3 = -3*w. Sort l, v, 3 in descending order.\nAnswer: l, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/6 + (-7)\/(-42). Let j(d) = d**3 + d**2 - 1. Let f be j(y). Let o(w) = -21*w**2 - 24*w + 27*w**2 + 25*w. Give o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*k = -110*k + 205*k - 76 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 143023304*s**2. Let b(m) = 3*m. What is b(u(j))?\nAnswer: 429069912*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/4 - (-31 - -35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -143*d. Let t(b) = 3*b**2. Determine t(i(y)).\nAnswer: 61347*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 232147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 3*f**2 + 2*f - 3. What is the remainder when 59 is divided by r(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 2, y: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 187801, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61.6718 + 0.3282. What is the third smallest value in -6, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = 12. Let t be f\/(-8) + 55\/20. Let i be (6\/1 - 0)\/(18 + -17). Solve -i*p + t*p = 9, -p + 2 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffh when three letters picked without replacement from hhhhhffhh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from eheddthdde.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/9 + 2*c + 8.\nAnswer: -2*(c - 12)*(c + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36563 + 615?\nAnswer: 36b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -202 in decreasing order.\nAnswer: 4, 1, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 + -13.6. Let n = j - -2. What is n rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -447b103 - -b?\nAnswer: -447b0b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(8) - sqrt(96)\/(sqrt(24)\/sqrt(2)))\/(sqrt(44)\/(-1*sqrt(11))))**2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 92 + 1316 = 0. Calculate the remainder when n is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -21. Let z = 2 + k. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 676806932 to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3. Let z(r) = 11*r - 5. What is 6*h(c) + 3*z(c)?\nAnswer: 33*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1924*k + 1629*k - 3882*k.\nAnswer: -329*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/10, -10.24758, -3 in decreasing order.\nAnswer: 19\/10, -3, -10.24758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 4*q**2 - 1. What is the tens digit of z(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(2\/(-6)*-1)*-37*(-172)\/114552.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1637 in 5, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 4*q - q. Let f(g) = -g**2 + 7*g + 4. Calculate the remainder when 16 is divided by f(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207081472 to the power of 1\/2, to the nearest integer?\nAnswer: 14390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 0)\/(5\/4). Let a = 57 + -54. What is the nearest to -1\/3 in -4\/3, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 20. Put -1\/2, 0.3, m in decreasing order.\nAnswer: m, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19 + -35)*1\/(-2). Let m(u) = 2*u**2 - 8*u + 8. Let g be m(t). Calculate the highest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 1209.\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 46540000 to the nearest one million.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) -2\/87 (b) -1\/3 (c) 0.04 (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4\/15 - 62*h**3\/15 + 86*h**2\/15 + 2582*h\/15 - 868\/5 = 0.\nAnswer: -31, -7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/(-42) + (-60)\/35 + 3. Which is the closest to -1\/3? (a) 6\/59 (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/10, -23, 2\/7, 336, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 0.6, 4400, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-7 - -8 - 6) + 16 - 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 1071*l - 4295. What is s(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26934*q*t**3 - 146*t**3 - 35 with respect to q.\nAnswer: -26934*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -x + 3*x. Let a = 7 - x. What is the second derivative of -p**5 + a*p + 2*p + p wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 45 in increasing order.\nAnswer: 5, 10, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.76, 4, -2\/283, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1145682*c*h**2 + 734405*c - 1 wrt h?\nAnswer: -2291364*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 338*h**3\/11 - 205608*h**2\/11 + 63240*h\/11 - 4864\/11 = 0.\nAnswer: 2\/13, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -85*a + 4. Let z(m) = -87*m + 5. Let r(p) = 4*k(p) - 3*z(p). Let c(x) = 5*x - 3. Let b(d) = -12*d + 7. Let u(y) = 6*b(y) + 14*c(y). What is u(r(w))?\nAnswer: 158*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 485709 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + 4*n)*(3*n - 4*n + 4*n) - 4 + 5 - 2*n**2 - 2*n**2.\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 9*r - 86. What is u(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 0.1358105110086.\nAnswer: -0.8641894889914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = y - 2, 3*y = v + 2*v - 9. What is the smallest value in 2, v, 37?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000043346 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**4\/24 - d**2. Let t be (-6)\/(-4)*10\/(-15). What is the units digit of s(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83912, 669783, 2260014, 5356787, 10462284, 18078687, 28708178?\nAnswer: 42852939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1256 - 1254.938. Let d = -864 + 863.1. Let z = d + m. Round z to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -117, -702, -1739, -3234, -5193?\n\"Answer: -u**3 - 220*u**2 + 82*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5659797675*h**2 + 1563660*h - 108.\nAnswer: -3*(43435*h - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 5, -4*k + 2*h - 3*h - 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oodoooodqqqo. What is prob of picking 2 d and 2 o?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251 divided by -1036.\nAnswer: -251\/1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -236*m + 268*m - 128. Factor -2\/21*x**3 + 2\/21*x + 0 + 2\/21*x**m - 2\/21*x**2.\nAnswer: 2*x*(x - 1)**2*(x + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 4*h**2 + 5*h - 2. Is j(5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 5*m**4 + 6*m**2 + 121*m. Let o(q) = 14*q. What is f(o(j))?\nAnswer: 1680*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 10\/(-4))\/((-6)\/420). Let c(u) = -4*u - 45. Let x be c(-15). What is the greatest common divisor of x and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29531 - 29510. Suppose 5*d - 124 = 3*r - 2*r, 0 = 2*r + 8. Calculate the least common multiple of g and d.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 2*b**2 - 2*b + 1. Let r(u) = -7*u + 44. Let l be r(6). Determine v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.9 (b) -12 (c) 0.2 (d) 0.4 (e) 3\/7 (f) -199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.4 - -15.6. Let m = 18.5 - r. Suppose -z - 3*u = -4*u, 5*u = -5. What is the third biggest value in z, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 34*4 + (4 - (-6 + 6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-3) + -5 - (-529)\/3. What is the second derivative of s*v - 4043*v**5 + 4015*v**5 - 55*v wrt v?\nAnswer: -560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -158640*z**2 + 19*z + 11. Let d be q(-9). What is d rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) -53.48 (d) 2.8 (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19852789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 2 + 2)*(1 - 3 - 1)*(-3 - 12 + 0) + l - 2 + 2 as y + i*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 9 - 17, -t + 1109 = p. List the prime factors of p.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a2ca9 + 33?\nAnswer: 1a300c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 525431 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 224*t - 238. Let y(c) = 114*c - 119. Let r(v) = 2*p(v) - 5*y(v). What is the first derivative of r(n) wrt n?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 37*r - 6 + r**3 - 39*r to u + m*r + p*r**2 + j*r**3 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 + 167. What is the second biggest value in 1\/6, b, 5, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n**2 + 27*n - 49. Let z(r) = 4*r**2 - 13*r + 24. Let p(u) = 3*b(u) + 7*z(u). Factor p(g).\nAnswer: (g - 7)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*s**2 + 3*s**3 - 7*s**3 + 32*s**2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 33*t**2 - 47*t + 201. What is the least common multiple of 10 and i(5)?\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 17 - 29. Let c = g - -27. Let i be (-5 + 1 + c)\/1. Sort i, -4, 1 in ascending order.\nAnswer: -4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/17*b**2 - 2\/17*b**4 + 0*b**3 + 0*b.\nAnswer: -2*b**2*(b - 1)*(b + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*z - 23, -6*z + z + r + 38 = 0. Suppose -g + 5*y - 5 = z*y, -3*y - 3 = -3*g. Sort 107, 1, g.\nAnswer: g, 1, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2. Suppose 0*b + 5*g - 106 = 3*b, 5*g = -4*b - 188. Let v(i) = 6*i**2. Let q(k) = k**2. Let o(l) = b*q(l) + 6*v(l). Determine r(o(c)).\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(2485 - 1111 + 1366)*(0 + 1 - 4)*(0 + 0 - 2*m) in the form k*m + n and give k.\nAnswer: 16440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgz when three letters picked without replacement from {z: 2, i: 1, g: 1, y: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 146*n + 6798. Let t be x(36). What is the greatest common factor of t and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9035\/1251*(-6)\/26?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/4*((-6)\/36)\/(-1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from oobemkp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 2317*s + 29820. Give a(-13).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671.8534 microseconds in hours?\nAnswer: 0.0000007421815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -45*f - 156 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 7:46 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*w = -0*z - 767, 4*z - 3*w - 777 = 0. Let l = -196 + z. Solve 4*h + v - 4 = -3*v, 0 = -l*v - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = -6. Let t = -3 + 3. Suppose w - k - 12 = t, -4*w - r*k + k = -48. What is the least common multiple of w and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a + 88. What is the remainder when 90 is divided by u(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -42 - (16 + (-1 - 45) + 22)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.01 * 0.2.\nAnswer: 1.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 184765\/22 at least 8399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07685 and 1191.3.\nAnswer: 1191.37685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.4 + 9. Let w = 41\/10 - 23\/5. Which is the smallest value? (a) f (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 d, and 1 y when three letters picked without replacement from sdxyf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 7*a**2 - 17*a + 33. Let h be p(5). Is ((-1)\/h)\/((-64)\/(-86144)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 56. Let v(a) = 2*a**2 + 10*a + 5. Let k(w) = w**2 + 6*w + 3. Let p(o) = 10*k(o) - 6*v(o). What is g(p(q))?\nAnswer: 4*q**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3310 and 1197558.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 24*q + 92. Let b(p) = 3*p. Let j(d) = -5*b(d) + o(d). Calculate the remainder when 75 is divided by j(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -97283 and 0.3?\nAnswer: 97283.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**5 + 89*d**4 + 649*d**3 + 1444*d**2 + 1283*d + 397. Let w(f) = -f**5 + f**4 + f**3 - f + 1. Let i(u) = h(u) + 3*w(u). Let i(o) = 0. What is o?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06109233279 rounded to 3 dps?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 2*f**3\/3 - f**2\/2 + 3*f. Let s be d(1). Solve -s*w + 2*v = 8, -2*w - 3*v - 1 - 13 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 1, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 15 - 57. Calculate the remainder when 15 is divided by z\/(-21)*3*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 - 4*c**2 + 2*c + c**2)*(-18*c + 16*c + 16*c + 1) in the form l*c + x*c**3 + o + a*c**2 and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 86 + 684. Let o = m + -55. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*2*-3)\/(sqrt(50)\/(sqrt(160) + sqrt(10) + sqrt(10))))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-16)*k**(-22)*(k**(1\/2)\/k)\/k*k\/(k**(4\/5)\/k*k)*k assuming k is positive.\nAnswer: k**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 3*x**2 + 6*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/24 + 151\/168. Let m = -0.04 - 0.54. Let h = m + 0.38. What is the third smallest value in d, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.02, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39056 - 8*g + 39056.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 364 + 348 = 11*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 + 998 = g. Let r = -908 - g. Let t = r - -916. Round t to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 2*h**2 - h. Let q be p(-1). Let l(n) = 5*n - 3. Let c be l(3). Solve -3*w = -q + c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 1:21 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1917*l**2 + 313*l - 7757. Is g(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + g**3 - g**2 + 2*g**4 + 3*g + 5*g**4 - 5*g**4 in the form x + k*g**3 + l*g**2 + j*g**4 + u*g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 26647071?\nAnswer: 26647068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 + 5. Let s = 0.5000008 + r. Round s to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/11)*(i*i*i\/i**5*i)\/i)\/((i\/i**1)\/(i**(1\/6)*i)))\/((i**0)**38)**(-12) assuming i is positive.\nAnswer: i**(-61\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 3*w = 19*j - 392, -5*j + 999 = -2*w. Suppose -38 = 7*x - j. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**6\/6 + 15*z**2\/2 + 9. What is the second derivative of j(t) wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q - q + (2*q + 2*q - 3*q)*(0 - 2 + 3) + 3*q + 0*q - q + 6*q - 2*q - 2*q)*(3 - 3 - q)*(87 - 87 - 65*q).\nAnswer: 65*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - n - 33 + 10, -15 = -2*f + n for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2078735\/25 - 15\/(-25). Round i to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70473, -140936, -211387, -281820, -352229?\nAnswer: -422608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 6*l**2 - l + 8. Let n be z(-6). Solve 5*a = -1 - n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/4 - 7*m**3\/3 - 5*m**2 + 18*m - 212. Determine a(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.80028*-0.3\nAnswer: 2.940084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1531814 - -2.49\nAnswer: 1531816.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24180 and 1560.\nAnswer: 48360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoilloolli. What is prob of sequence loi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2148161 < -2148175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p - 3*p + 3*p)*(2 - 6 + 2) + p + 5 - 5 + 2*p + 9*p - 4*p)*(2616*p + 2*p**3 - 2616*p).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*o - 268743, 3*o = -5*f + 2*o + 447961. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.022 + -8.272. Let t = -2.5 - d. What is t rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22372?\nAnswer: 2, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**3\/7 + 80*p**2\/7 - 16*p - 576\/7 = 0.\nAnswer: -2, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -30.4. Let z = -1 - 3. What is the closest to 2\/5 in 0.5, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 16*w - 7. Give x(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 6. Let d be 2\/r*18\/15. Let i(a) = -a + 3. Let j be i(4). Is d greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 4715112*j + 4715112*j. Let x(z) = -688*z**2 - 2. Calculate y(x(g)).\nAnswer: 946688*g**4 + 5504*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l + 18*l - 4*f + 10, 5*l - 12 = -f. Solve 2*z - l = -g - 9, -g - 4 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623484884?\nAnswer: 2, 11, 14170111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 953 and 0.07.\nAnswer: 66.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -34. Let j be 4\/m + (-1865)\/(-15). Let t = j - 18. Calculate the highest common factor of t and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10414 = -0*s - 5*s + 4*a, -6251 = -3*s + 5*a. Suppose -3*f - 3*y = -s, 24*y - 20*y = -8. List the prime factors of f.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 201 and 11?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 3. Suppose -3 = u - o*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9540919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 372107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*b + 10, -18*b - 16 = -22*b - 2*l. Let v(z) = z**2 + 3*z - 3. What is v(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 77. Let b = -35.18 - -9.18. Let r = o - b. What is the third smallest value in -0.5, 0.18, -5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92534?\nAnswer: 2, 13, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588163?\nAnswer: 1588163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 0.4, -69\/2.\nAnswer: -69\/2, -8, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28629.898944 and -0.5.\nAnswer: -28630.398944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -26, -17, 1.\nAnswer: -26, -17, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*-30*(-258)\/860?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:11 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73555*g + 220661*g - 73550*g - 73558*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 110*i + 533. What is the remainder when m(2) is divided by 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-29\/3)*(q*q*(q**18*q*q*q)\/q)\/q*q**(-4\/21)*q\/(q*q*q\/(q*q*q\/q**(-31))*q*q) assuming q is positive.\nAnswer: q**(1291\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*b = -20, 2*b - 5 = l + 3. Let m = 0 - 3. Let c be -3 - (m\/3 - 0). Sort 1, l, c in descending order.\nAnswer: 1, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 9\/(-3) - (-1813)\/(-203) - -5.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 189.15876ms?\nAnswer: 0.0000525441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2122 and -13\/10?\nAnswer: 10610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1519 - 972. Let q = 1269 - c. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2 + 2*i**2 - 5*i - i**3 + 0*i**2 + 3*i**2. Does 5 divide y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(250\/(-40)) - (-195)\/(-25)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 426712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*w + 27, 0 = k + w + 16 - 4. Let q be -1*(3274\/(-6))\/(k\/27). Let u = q + 2356. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3308166 and 25\/6259.\nAnswer: 36389826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + ((sqrt(539) - (3 + sqrt(539) + -2*sqrt(539) + sqrt(539)))*-4)**2).\nAnswer: -43850 + 3360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.07 - -0.07. Suppose -16 = 9*w - 5*w. What is the biggest value in w, -2\/3, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 2)*(3 - 2) - -1. Let b be -1*d\/(-4 + 5). Suppose b = 5*j - 25, j = 2*x - 111 - 52. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 160083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:21 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/19, 5, -18.8, -0.5?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 387. Suppose 3*c = -c + l. Is (c\/2)\/(12\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 + 20*u + 64. Determine p(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + q + 1. Let p(a) = 17*a**2 + 3*a + 2. Let b(d) = -2*c(d) + p(d). What is the second derivative of b(h) wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 111100?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46536 and 269772?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 - 2 = 0. Let g = -2.085 - -3.085. Which is the nearest to 0? (a) g (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*n**2 - 1298*n + 84.\nAnswer: -2*(n + 21)*(31*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4166, -30739, -102288, -241301, -470266, -811671, -1288004?\n\"Answer: -3748*c**3 - 337*c - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (0 + (6 - 0) + -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*o**2 + 15*o**4 + 24*o**2 + (2*o**3 + 3*o**3 - 4*o**3)*(-o - 3*o + 2*o) - 2*o**4 + 2*o**4 - 2*o**4.\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 15*c - 4834 = -16*c, 3*q + 2*c = 3628. Suppose 5*j = 13*j - q. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2582900 by -1.\nAnswer: -2582900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-96)\/6*((-31)\/4 + 8). Let u = 17 - 7. Let d = u - 8. Put -0.1, n, d, 3\/5 in descending order.\nAnswer: d, 3\/5, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188737497.\nAnswer: 3, 13, 1613141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 146, 7\/8, 4\/3.\nAnswer: 7\/8, 4\/3, 5, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/20*(-110)\/66?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186487 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -5 + 8 - -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682 - 773 = -97*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -489 + 492. Suppose 3*i = -k*a + 1176, -3*a + 1000 + 171 = 4*i. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -13*x - 2. What is s(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 20*z**3 + 3*z**2 + 3*z - 3. Let j(u) = -561*u**3 - 85*u**2 - 85*u + 85. Calculate -85*a(n) - 3*j(n).\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a + 118. What is the common denominator of 65\/4 and (-4)\/16 - a\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:27 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1161)\/(-12) + 8\/32. Let h = 97 - a. Solve 19*g - 14*g = h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.669 + -7.7. Round g to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6355 (b) -46\/9 (c) -0.03 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 + h - 1. Suppose 2*g - 5 = -g - n, 0 = -g + 5*n - 9. Let r be m(g). Find the second derivative of 6*p**2 - 3*p**5 - r*p**2 + 3*p wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 7 + 9. Solve 3*c = 4*w - 0*c + 19, a*w + 24 = 4*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 32 - -29) + -1 + 2 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5256 divided by -9.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-66)*12\/76*-2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 574*p - 571*p - 7*o + 7, p + 5*o - 10 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 530011 + -2?\nAnswer: 530005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39222 and 1926?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + (2*sqrt(162) - sqrt(162)))*6*-4)**2.\nAnswer: 746496*sqrt(2) + 3442176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 9*y - 9. Suppose k + k = -10. Let p = 27 + -19. Calculate the lowest common multiple of n(k) and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = s - 2*u, -5*s + 32*u - 33*u = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 26*k**3 + 4*k**2 - 16*k + 10. Let c(d) = d**3 + d**2 - 4*d + 1. Calculate 4*c(r) - p(r).\nAnswer: -22*r**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((0 - 0) + -1). Find the common denominator of 74\/(-14)*q\/1 and (-42)\/78 + (-11 - -2) + 8.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*60\/264.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - 324456869617?\nAnswer: -324456869679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 87 = 67. Let f(v) = 10 - 1 + 5*v + 0. List the prime factors of f(y).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x - 2766 = 2*p, 4*p - 11028 = -4*x. Suppose 4*r + 2*a - x = 0, 3*a - 3447 = -5*r - a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 3. Let o = i + 4. What is the lowest common multiple of 4 and ((-1)\/o)\/((-2)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)\/k)**(1\/59)*(k\/((k**(-3\/2)\/k)\/k))**(-2\/77))**(-1\/4) assuming k is positive.\nAnswer: k**(1293\/36344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 306 - 311. Which is the nearest to 1? (a) z (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -2212130?\nAnswer: -2212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2023845 and 2023845?\nAnswer: 2023845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q + 286 = 4*j, -4*q + 2*j + 352 = 0. Suppose q = -3*h + 639. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 - 13.33. Let u = 12.2 + s. Let t = u - -0.8. Which is the second smallest value? (a) 0.1 (b) t (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001464 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**5)\/x*x*x*x**(-9)*(x\/x**(5\/6))\/((x**(-27)\/x*x)\/x) assuming x is positive.\nAnswer: x**(157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(3\/4)\/x)\/x*x**6)\/(x**(-1\/3))**(-6\/13))\/(x**7\/(x*x**(1\/8))*x**(-3)*x\/((x*x\/(x*x*x**(1\/15)*x))\/x)) assuming x is positive.\nAnswer: x**(-2099\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 712, 742, 772, 802, 832, 862?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 4. Let c(q) = -15*q - 1. Let s be c(v). Let l = s + -12. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -435 - -437. Find the second derivative of 130*o**2 + 27*o + 38*o - 19*o + 22*o**s + 9*o wrt o.\nAnswer: 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.2, 1, -5, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = f - 8, -3*v + 4*f - 401 = -372 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 726 and 99?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (212 + -19 - 158) + -125 + -1.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m)\/(m*m**(1\/11)*m))\/((m**(-7)\/m)\/(m*m**(-5))) assuming m is positive.\nAnswer: m**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 52142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 15*l + 157900 = -8*l. Does 67 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485539692.\nAnswer: 2, 3, 11, 29, 126839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*h - 108955, -2*m = -m - 4. Let s = h + 1045595\/48. Let z = 161\/16 - s. Find the common denominator of 29\/10 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -413?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -88490010492044.\nAnswer: -88490010492040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3063.\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -2. Suppose 0 = -i*o + 6*o + 5999998. Suppose 0*j - 4*n = -2*j + 6000008, -2*j + o = n. Round j to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 654308265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (7 + -10)) + 3 + (-2 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110574 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -60427\nAnswer: -1\/60427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zkkkzzkkkkkkkkzzzkk?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.448 + -123.448. Let y = x + 132. Which is the biggest value? (a) y (b) -1\/4 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-198)\/55 - 3\/(-5)*(47 + -48)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*v**4 - 179187656*g*v**3 - 2*g*v**2 + 9549606*v**2 wrt v?\nAnswer: -48*g*v - 1075125936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e81 + 1?\nAnswer: 1e82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.467511 nanograms to micrograms.\nAnswer: 0.001467511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 17*a**2 - 18*a + 15. What is the remainder when d(-18) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2997, -3015, -3033, -3051, -3069?\nAnswer: -3087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2)\/h)**2\/(h*h\/(h**0\/h))**(2\/41))**(-22) assuming h is positive.\nAnswer: h**(2838\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4046051233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*d*x**3 + 3*d*x**2 + 77*d - 114*x**4 + x**3 + 7*x**2 + x wrt x.\nAnswer: -60*d - 2736*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 615\/8*h**3 + 675\/4*h**2 + 9\/80*h**5 + 13 + h - 11\/2*h**4. What is n in x(n) = 0?\nAnswer: -2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22954\/5 - 4591. Let t be (-3)\/12 + (-1)\/(-4). Which is the biggest value? (a) p (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3100 and 465.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1. Let z(t) = 8*t - 28. What is -112*g(h) + 4*z(h)?\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 84.2, 2\/5, 38, -6, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2120112112220 (base 3) to base 13\nAnswer: 38c004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -102*u - 183. Let y be s(-2). Let l = 29 - 24. Suppose -l*z = -76 - 99. What is the highest common factor of y and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14652 - -10?\nAnswer: 14662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-3*sqrt(125) - sqrt(125))*-6 + 3*(sqrt(125) + 0 + sqrt(125) + sqrt(125) + 4))*-2*-6)**2.\nAnswer: 522720*sqrt(5) + 19619424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/5))**(-6)\/(x**(-6\/7)*x*(x*x\/(((x\/(x*x**(-15\/7)))\/x*x*x)\/x)*x)\/x))**(-17) assuming x is positive.\nAnswer: x**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001340199 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u + 3. Let z be c(0). Solve -21 = -5*o - j, -3 = 3*o + z*j - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 24 = -2*i, 7*f - 2*f + 10 = 0. Suppose 2*n + 3*c = -5, -n = -4*n + 3*c + i. Solve n*h - 3*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14755 + -14?\nAnswer: -14769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or -31?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23530 + -19578. What is the highest common factor of j and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867481 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1aa1a - -611?\nAnswer: -1a409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 88168, 176371, 264598, 352855, 441148, 529483, 617866?\nAnswer: 706303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-15)*(-9)\/(-6). Let g = 21.03 - 20.73. What is the closest to 0.1 in l, 3\/4, g, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328083287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h**5 - 6*h**4\/5 + 129*h**3\/5 + 114*h**2\/5 + 24*h\/5 = 0 for h.\nAnswer: -1, -4\/5, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(18) + sqrt(18) + -4 + sqrt(2)*2 + -1 + sqrt(2) + sqrt(80)\/sqrt(10))**2 + 1.\nAnswer: -110*sqrt(2) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b64 - 12?\nAnswer: b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 238517053, 238517054, 238517055, 238517056?\n\"Answer: w + 238517052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/2)\/(-5)*-2. Let z(q) = -3*q**3 - 2*q**2 - 2*q - 1. Let p be z(t). Suppose g = 3*u - 14, -7*g + 5*u - 30 = -p*g. Sort 4, 0, g.\nAnswer: g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -298\/3 in -3, 0.2, -1\/5, -228, 1\/4, 2\/43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2844135 by -21.\nAnswer: 135435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/8414 and -22\/234087?\nAnswer: 281372574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(27) + sqrt(27) - (-1*(sqrt(3) + -1) - sqrt(3)) - sqrt(36)\/((3*sqrt(144))\/sqrt(12) - sqrt(12))) + -1)*-2.\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 5. Let i be f(-4). Find the second derivative of 10*z**4 + 2*z**4 - 11*z**4 + i*z wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 316 - 1263\/4. Let u = 18\/19 - 89\/114. Which is the nearest to -1\/3? (a) u (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0) + (1 - 1). Suppose -5*w = -0*q + 3*q, -2*q + 4*w + 22 = 0. Suppose -h = -2*h - q. Sort 5, h, l in ascending order.\nAnswer: h, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 492*g**3 + 22260*g**2 - 436100*g + 3087000.\nAnswer: 4*(g - 35)**3*(g - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/4 - w + 2347. Let f(o) = 3*o**2 + 129. What is n(f(c))?\nAnswer: 27*c**4 + 2322*c**2 + 49923","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -169, -170, -171, -172, -173, -174?\n\"Answer: -a - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130581 is divided by 130394?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + f. Let b(a) = a + 3. Let x = -6 + 2. Let r be b(x). Let d(p) = p**2 - p + 1. Determine r*h(v) - 2*d(v).\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 12\/29 (c) -2\/7 (d) 103 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - (-23)\/4)*44.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 5*w + 1. Let k be f(4). Let b = 15 + -13. Put -4, b, k in descending order.\nAnswer: k, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 65\/1105 - 1495\/(-17). Solve -x = -14*a - 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -2*n**5\/35 - n**4\/14 + 6. Factor q(m).\nAnswer: -2*m**3*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -356 + 643. What are the prime factors of m?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -9*f**3 - 51*f**2 + 18*f = 0.\nAnswer: -6, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5044*r - 30261. What is b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + -2. Let y = s + 31. Which is the third smallest value? (a) -3\/5 (b) y (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.112 and -873.63063.\nAnswer: -873.51863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 456180 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -117 - -1b?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.3 - 3.3. Let d = 18.0054 - o. What is d rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910676569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 82 = -4*v. Let n(g) = -6*g - 124. What are the prime factors of n(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u = 18*u + 160. Suppose u*d - 1547 = -147. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5 - 6 - 129*r**2 + 14 - 3 + 617*r wrt r.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by -1\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64541662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (0 + 21\/15)\/((-13 - -3)\/(-2650)) and 1113?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 4*a - 6. Let l be v(3). Suppose d + l - 3 = -3*m, 4*d - 8 = 4*m. Let b be (-18)\/88 - 1\/(-4). Is d less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 2)*(5 - 2 - 2) - 3 - 5 - 2)*(1 + 2*w + 0 - 6 + (4*w + w - 3*w)*(6 - 4 - 4)).\nAnswer: 22*w + 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -1 - 23\/3*r**3 - 109*r + 1\/12*r**4 + 37*r**2. What is the first derivative of n(j) wrt j?\nAnswer: 2*j - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -929 - -149. Find the common denominator of 77\/6 and 1\/(-1) - 5018\/z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -856, -1108, -1362, -1624, -1900, -2196?\n\"Answer: -v**3 + 5*v**2 - 260*v - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1798064 and 545.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2367966 and 194184?\nAnswer: 5394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/20 and 25\/62.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 16*z**2 + 17*z + 16. Let a be h(-15). Let f = -7 - a. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(567) + (-1*(2 + sqrt(567)))**2 - (sqrt(567) + 2 + 0)**2 - (0 + (2 + sqrt(567) + 1*sqrt(567) - sqrt(567)))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 10. Let j be n(-6). Let s = 14 + j. Calculate the least common multiple of s and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by -6\nAnswer: -124\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1264 and 8592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2344965 plus -12403?\nAnswer: -2357368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1090 - -1090. Solve 20*y - 18*y + 4 = f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*v**(4\/7))\/v*v*v)\/(v**8*v*v)*(v**3)**(-6\/29))**6)**(-5\/9) assuming v is positive.\nAnswer: v**(4770\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 37, -1, 2 in decreasing order.\nAnswer: 37, 2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -419773?\nAnswer: -419762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w - 20. Let d be i(-7). Solve -3*s = s - d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 - 68. Let v = c + -14. Suppose -z = -6*z + v. What is the highest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 71138702?\nAnswer: 640248318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 888*y - 601. What is the hundreds digit of r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 4536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238 by 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + r - 17 = 0, -2*u - 5*r - 4 = -1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3875362992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24\/53588233 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181584033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-95)*-2*(-27295)\/32754\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2 + 23562*t + 35048624 = 0.\nAnswer: -1336, 13117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/90 - 27\/(-90).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -406 - -412. What is the closest to z in -3, 0.5, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y. Let u(d) = -3*d**2 - 5*d - 1. Let i(l) = u(l) - 5*x(l). Calculate i(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - (-4 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0) + 282 + -284.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -28, -81, -166, -289?\n\"Answer: -l**3 - 7*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*f**2 + 33 - 13 - 4 - 12 - 5 - f**3 in the form n*f + q + v*f**2 + i*f**3 and give v.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25772.\nAnswer: 2, 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*k + 12. Let g be (9 + k)\/(1\/1). Suppose g*r - r = -3*x + 375, 5*x = -5*r + 385. Calculate the greatest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 2*c + 1. Let m(j) = -j**2 - j - 1. What is m(f) + 2*p(f)?\nAnswer: 3*f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348 and 12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212647139?\nAnswer: 997, 213287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 89*a**5\/60 - a**4\/12 + a**3\/6 + 2*a**2. Let u be k(1). What is the highest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/10)\/((-6)\/101670). Suppose -o = -r + 4*n, 3*r + 2*n - 10151 = -2*n. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 + 16*p + 8. Let x be h(-4). Suppose 3*l - x = 4. Suppose f - 237 = -y, -660 - 276 = -l*f + 2*y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2)*b)\/(b\/((b*b*b**(-8\/3)*b)\/b)) assuming b is positive.\nAnswer: b**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 23. Let h be 5\/w - 26\/(-6). Suppose h*y + 0*y = 44. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7*r - 31235 = 11*r, -r = 2*n - 20838. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:37 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1. Let h(c) = 26*c + 10. Let l(w) = -92*w - 31. Let a(y) = -7*h(y) - 2*l(y). Determine -a(i) + 6*k(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -m + 1, 6*m = 3*m + 12. Let p(a) = a**2. List the prime factors of p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288309482 to the nearest integer?\nAnswer: 16980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + 5.1. Let p = 4509.5 + -4508.3. Which is the closest to y? (a) 0.3 (b) p (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 + (-3)\/294*-61082. Calculate the highest common factor of h and 3293.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + sqrt(704) + -1)*2)**2 + sqrt(704) + ((-3*sqrt(704))**2 - sqrt(704)) + 4.\nAnswer: -128*sqrt(11) + 17608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -10 + 4. Suppose 2*w - 2*b = -62, 3*w + l*b - b = -105. Let y = w - -49. Calculate the remainder when 39 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1428 + 1444. Put -5, 1\/4, p, -3, 4 in increasing order.\nAnswer: -5, -3, 1\/4, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of -1339 and 0.10130102.\nAnswer: -1338.89869898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 6*y + 5. Let s be ((-15)\/9)\/((-3)\/(-9)). Let u be a(s). Suppose -3*q + 4*q = u. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 20 - 9)*(-1 + 1 + 2*x)*(-x + 2*x + x).\nAnswer: -140*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-14) + (-45 - (-13068)\/252). Let l be 10\/4 + 1\/2. Solve i*q + 4 = l*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3804 + -3752 - (1 + 68).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 11*z - 108. Calculate the remainder when z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from {p: 2, w: 3, y: 3, q: 1, b: 7}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2205*g**2 + 2205*g**2 + 6 - 16*g**3 wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9849, 9850, 9851?\n\"Answer: a + 9848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*m**2 - 101301*l**2*m - l**2 + 90605*l*m**2 - 3*m**2 - 1 wrt m?\nAnswer: 4*l**2 + 181210*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3020021212 (base 4) to base 3.\nAnswer: 1112122120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 74620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -2, 0, 0.019?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 4547 = 533. Let s = l + 552. Calculate the greatest common factor of s and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 449.199 + -449. Let t = 0.23 - x. Round t to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 7*s**2 - 7*s - 3. Let n be q(-5). Let i(m) = 3*m - 5. What is the remainder when n\/(-1)*3\/2 is divided by i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*b - 3*h, 14 = -1240237*b + 1240236*b + 4*h for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 1764\nAnswer: -52.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 + 13*f**2 - 4*f - 4. Let z(y) = y**3 - y**2 + y + 1. Let i(r) = s(r) + 4*z(r). Let l be i(9). Solve l*w - w = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/147 and 133\/30?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 53. Suppose 5*r + 5 = -w, -5*o + 2*r = -392. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 1 + 1\/3*w**3 + 0*w + 2*w**2. What is the second derivative of l(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -3*j**5\/20 + j**4\/2 - j**3\/2 + 15*j. Factor f(x).\nAnswer: -3*x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -640*x**3 + 12580*x**2 + 45045*x.\nAnswer: -5*x*(4*x - 91)*(32*x + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 1\/2, 1672, 10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 2*i. Let f be m(-2). Let y be 0\/(0 - (-1 + f)). Let q be 3 - ((-3 - -4) + 0). Solve j = q - y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -844 + 1015. Calculate the remainder when r is divided by 61.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16926.933 - 16927. Let d be (-2)\/5*5\/(-11). Which is the third smallest value? (a) d (b) g (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*k + 123 - 19 + 123 + 29 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = c - 0*o - 8, 32 = c + 2*o. What is the highest common divisor of c and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.5 + 27.5. Let h = l - 19. Let d = 0.12 + -0.42. What is the smallest value in h, d, 4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (693\/297)\/((-21)\/216).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**4 - 9172*y**3 + 101236*y**2 - 322460*y + 230400 = 0?\nAnswer: -2304, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302324 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-2 - (-56)\/49) - -4?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/375 and 6\/126*6 - (-1168)\/(-1050).\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (6 - 7) - 1. Factor -1\/2*q**5 + 1\/2*q**s - 3\/2*q**3 + 0*q + 0 + 3\/2*q**4.\nAnswer: -q**2*(q - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 12 = 4*h, 3*x + 11 = -h + 5*h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyxyx. What is prob of sequence xxy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7491000 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f - 2. Let l be c(-1). Suppose 0 = -l*d + q + 13, 0 = 2*d - q + 2*q - 3. Let s be ((-9)\/4)\/(d\/16). Put -0.1, -2, s in increasing order.\nAnswer: s, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = -12. Let j(t) = t**2 - 4*t - 1. Give j(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 541 - 1320?\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7434633s in minutes?\nAnswer: 0.012391055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199*g**4 + 62*g.\nAnswer: 2388*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -1.049.\nAnswer: 0.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/7 - 10*h**3\/7 + 86*h**2\/7 - 134*h\/7 + 60\/7 = 0 for h.\nAnswer: -10, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + ((-1 + sqrt(176))*-4 - (1 + sqrt(176) - sqrt(176))*-6 - (sqrt(176) + 0 + -3 + 0))**2.\nAnswer: -520*sqrt(11) + 4578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -29. Which is the second biggest value? (a) 0.3 (b) z (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-36)\/14)\/((-2508)\/8778) and 182 - (0 - 1 - 1).\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13477850?\nAnswer: 2, 5, 109, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0092261859 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 18 - 310*l + 965*l + (2 + 4 - 5)*(-4*l + 5*l + 3*l) + 0*l + 2*l + 0*l.\nAnswer: 661*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9499.47708 - -4?\nAnswer: 9503.47708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 15 = -3*t. Let b = t - 11. Solve 4*c - b*f + 9 = 0, 2*c - 4*f = -1 - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1004202)\/258876 - 6\/34 and (-1)\/1 + 250\/56?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8363 - -562. Is 85 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 121*s + 2564. What is a(-21)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 11. Let y be o(17). Suppose -8*r + 10 = -y*r. Calculate the lowest common multiple of 11 and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, -3, 2, 1, -2\/15, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 3, -0.23, 1\/7, 3\/7?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4609 + -211ba?\nAnswer: -187b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 1, -1, 3, 4 in decreasing order.\nAnswer: 4, 3, 1, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 124078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 1327749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 226206 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3996 - 3996 + 12875*f**2 + 5883*f**2.\nAnswer: 18758*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeddeeee?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q + 3 = 0, 2*q = -5*a + 63. Let u = 18 - a. Suppose 3*g + 0*h - h - 10 = 0, -u*h = -4*g + 28. Solve -g*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, o: 1, k: 2, s: 2, l: 3, u: 1}. Give prob of sequence usto.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = 8*z. Let d be 910\/315 + (-30)\/(-27) + z. Solve -4*r = 4*v - 20, r - 14 = -d*v - r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3850, -3847, -3844, -3841, -3838, -3835?\nAnswer: -3832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 2:17 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.00618 (b) -1.6 (c) 22 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 4*o + 6. Let g be (5\/4)\/((-3)\/12). Let c be l(g). Let u = c + 47. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -36*l - 88*l - 48 + 153. Let -3\/2*j**l + 3\/2*j + 3 = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(14\/3)*-6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 2*d + 34. Let m be j(-5). Let v(b) = -b**2 + 19*b + 20. Let k be v(m). Is (90\/k)\/((-1)\/(-10)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -3\/7 (c) -1\/7 (d) 6\/7 (e) 17 (f) 4 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*n)*(3*n**3 + 2*n**3 - 7*n**3) - 25*n**4 + 272*n**2 - 272*n**2 + 2 - n**4 - 2 - 9*n**3 + 9*n**3 - 4*n**4.\nAnswer: -34*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-78))\/(10*14\/(-70))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0.3, -5, -213, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 99. What is the remainder when g is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g, -5*f + 73 + 22 = -5*g. Calculate the remainder when 45 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 + 122. What is the second derivative of -8*z + 26*z + 7*z**5 + 3*z + o*z wrt z?\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7878*s**2 + 1053*s. Let m(o) = 45*o**2 - 6*o. Let d(r) = 2*k(r) + 351*m(r). Let p(f) be the third derivative of -f**4\/8 - 3*f**2. Calculate p(d(g)).\nAnswer: -117*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.75 + -2.35. What is the nearest to d in -4, 1, -8\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -832217\/28 + 29719. Find the common denominator of o and 101\/736.\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q - 27. Let r be c(5). Let v be (-3 + (0 - r))\/((-1)\/(-1)). What is the hundreds digit of v + (21\/(-14) - 303\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -9.8. Let u = -0.2 + p. Let j = 14.99996 - u. What is j rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let b = 1.7 + -2. What is the nearest to 0 in 0.1, z, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547726423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l**3\/7 - 3636*l**2\/7 + 2467674*l\/7 + 2471304\/7 = 0 for l.\nAnswer: -1012, -1, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*b + 5*b + 2 + 2*b)*(3*b**3 + 0*b**3 - 2*b**3) in the form i*b**3 + y*b + v + c*b**4 + j*b**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 1 - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + 81*i**2 - 202*i + 6371. Determine d(40).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/5*a**5 - 6\/5*a**2 + 4\/5*a**4 + 0*a + 1\/5*a**3 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/198 - (-1056279)\/(-992376).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + f - 3)*(-3 - 1 + 2)*(-4 - 1 + 2) + 2 + 153*f - 9 + 9 to the form s + k*f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/5))**5)**(-15) assuming u is positive.\nAnswer: u**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 23*h = 410. Let z = h + -54. Calculate the greatest common divisor of 196 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 + -80.9. Let t = 3.57 + -0.17. Let q = t + v. Sort -0.4, 3, q in decreasing order.\nAnswer: 3, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.274 to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15, 39, 73, 117?\n\"Answer: 5*w**2 + 9*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 3 + 6\/2. Let g(q) = -q**2 - 8*q + 7. Let s be g(-7). Suppose p*a - 6 = s. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p**3 - 25*p**2 - 22*p - 63. Let n(o) = -7*o**3 - 13*o**2 - 11*o - 31. Let z(s) = 13*n(s) - 6*x(s). What is the units digit of z(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (5 - (-80)\/2120) + 1912\/(-5724)?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/64 and -39\/8120.\nAnswer: 64960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*i, 3*i + 0*i = 2*d - 15. Suppose 3*m + 2*v + 9 = -v, 3*m = v - 17. Let n = m - -4. Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 408.4 - 408.2331. What is h rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 462*s**3 - 4*s. Let a(v) = 27720*v**3 - 242*v. Determine 2*a(u) - 121*k(u).\nAnswer: -462*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/1*(-22 + 20). Let d be (1 - -1)\/(2\/26). Suppose z*j = d + 4. Solve -l - f = f + 7, 4*l + j*f + 8 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**4\/3 - 331*i**3 - 1414*i**2\/3 + 928*i + 3200\/3 = 0. Calculate i.\nAnswer: -2, -1, 8\/5, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 13) to base 2\nAnswer: -11101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-12))\/(((-45)\/(-2))\/(-9))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/25 - (-72)\/80. Let b = 28 + -26. What is t in 3\/2*t - 2 + s*t**b = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Let g(l) = -2*l**2 + 2*l - 3. Let a be g(v). Calculate the smallest common multiple of (9\/(-2))\/(a\/36) and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 17 = 7. Suppose -y + 1 = -t. Calculate the remainder when 52 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-44)\/18 + -4) - -3.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3995*h + 4162 wrt h.\nAnswer: 3995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2552 is divided by 212.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(425) + -1 - sqrt(51)\/sqrt(48))**2.\nAnswer: -19*sqrt(17)\/2 + 6137\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 381474 to the power of 1\/2, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8409618 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 - 124. What is the nearest to -1 in c, 0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2666447 is divided by 190460.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 26239\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*i + i. Suppose 9*f - i*f = 60. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34794, -69555, -104314, -139071, -173826, -208579, -243330?\n\"Answer: d**2 - 34764*d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*k - 10*k + 5 - 83*k - 94*k - 85*k - 90*k.\nAnswer: 8*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.9886436 to 2 dps.\nAnswer: -10.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38091885, -76183771, -114275657, -152367543?\n\"Answer: -38091886*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 15.5. Let t = -6.5 + q. Which is smaller: t or 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*f**3\/5 - 11260278*f**2\/5 + 83648616*f\/5 + 51476032\/5 = 0. Calculate f.\nAnswer: -804313, -4\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -255*s**3 - 515305030*s**2 - 260332631617060*s - 10209122016040.\nAnswer: -5*(s + 1010402)**2*(51*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5690?\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -13 + (-13 - 0 - 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l**2 - 27*l + 5. Let u(x) = 21*x**2 - 40*x + 7. Let p(j) = 7*d(j) - 5*u(j). What is the second derivative of p(y) wrt y?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/686156 and -19\/12.\nAnswer: 2058468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 9. Let o(a) be the first derivative of a**4\/2 - 4*a**3\/3 - a**2\/2 + 1. Is o(k) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 5. Let s be m(10). Suppose 5*u - r = 4*r + 110, 0 = -s*u + 4*r + 115. Solve 0 = 5*p - u + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 419220 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j - 2. Determine t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14193 - 0.1\nAnswer: 14192.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2503\/7 + 357. Let c = o - -19\/21. Let k = 1791\/718 + 2\/359. What is the closest to c in k, -5, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/9 (c) 1.1 (d) -0.1 (e) -0.02 (f) -2 (g) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1848 and 73\/396?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 508262189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-10))\/((-150)\/250).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21002321130 (base 4) to base 3.\nAnswer: 11110110121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -127*d + 17265. Calculate u(136).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*o + 459 = 100*o. Suppose 4*j - g + 0*g = -51, -4*g + 22 = -2*j. Let b = j + o. Let c(m) = m**3 - 3*m**2 + 5. What is c(b)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 1:57 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3 + 6*y**2 + 0 + 5*y - 4*y**2. What is h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/((33\/3)\/(-132))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12194\/14 + 0 + 7. What are the prime factors of -122 + q - (-5)\/2*-2?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:25 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18202275671\/41067800 + -2\/5133475. Let m = l + -2163\/5. Calculate the common denominator of (-1722)\/(-246) - (1\/8)\/1 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 8:01 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12425 (base 6) to base 16.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*h**3*r**3 - h**3 + h**2*r**6 - 29*h**2*r**2 wrt r.\nAnswer: 288*h**3 + 120*h**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 180, 1, -2\/57 in decreasing order.\nAnswer: 180, 1, -2\/57, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 15 = -4*y, 4*y - 45 = 2*y - 7*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, p: 6, b: 5}. Give prob of picking 1 b, 1 p, and 1 j.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 + l**3 + 3*l**4 - 6*l + 6*l - 7*l**4 + (0*l + l + 0*l)*(-2*l**3 - l**3 + 4*l**3) to f*l**2 + w*l**4 + q + t*l**3 + b*l and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -22. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 28*o**2 - 6*o. Let t(h) = -1343*h**2 + 289*h. Let k(w) = -289*l(w) - 6*t(w). Let s(p) = 3 + 4 + 3*p**2 - 7. What is s(k(j))?\nAnswer: 3468*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4 (b) 16\/5 (c) 0.1 (d) 0.4 (e) 478\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 = -2*u + 5, -5*q + u + 19 = 0. Let t be (-18)\/6*q\/2. Is 48\/18*t\/(-4) - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2. Let w(u) = -39 - 32*u + 19 + 20. What is c(w(v))?\nAnswer: -5120*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1149314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18132114?\nAnswer: 2, 3, 7, 11, 13, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Let q = 18 + -16. Is x > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141637356 and 420.\nAnswer: 708186780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 4*c + 23 + 3, -5*b - c = 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44690767 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 269 + -250 + (-3 - (2 + -1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t + 34 - 15 - 19.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4464 - -0.026?\nAnswer: -0.4204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 5.2026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 54*b**3 + 8*b**2 + 3*b. Let x(f) = -54*f**3 - 9*f**2 - 4*f. Determine 7*n(c) + 6*x(c).\nAnswer: 54*c**3 + 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -29. Let t be ((-8)\/16*3)\/(y\/22). Let d(f) = 30*f**3 - f**2 - 5*f + 5. Let c be d(2). What is the highest common factor of c and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8257 divided by 111939\nAnswer: -8257\/111939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 36, 47, 72, 117, 188, 291?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*w - 19, -w + 3*w = 2. Solve 0 = p*d + 5*g + 25, 3*d - d - 18 = 5*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7140228 divided by 6?\nAnswer: -1190038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, j: 2, g: 2, r: 1, v: 1}. Give prob of sequence vgrn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 349?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - 49*h**2 - 80*h + 72. What is the remainder when 896 is divided by j(26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/10 and -11\/67.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffmmmfmmfm. Give prob of sequence fmff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 3)*((2 - 3 - 1)*(-3 + 0 + 5) + 0 - 3 + 1)*(0*u + 2*u + 0*u)*(u**2 + 0*u + 0*u).\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -158, 406995 in ascending order.\nAnswer: -158, 0, 406995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*f - 2*f - 36, -3*l = 3*f + 36. Let r = -130 + 127. What is the second biggest value in f, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.492 - -2.292. Which is the nearest to 0? (a) -5\/4 (b) 61 (c) -0.3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -9*r + 7*r. Let i be 2 + r\/(-7) - 38\/133. Find the third derivative of 21*g**4 + 4*g**i + 8*g**4 + 3*g**2 + 2*g**2 wrt g.\nAnswer: 792*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, 0.4, 2, 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 587.4491t to kilograms.\nAnswer: 587449.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 470858*h - 1141. Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2179289\/15 - -145207. Let q = f - -78. Is q at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, o: 1, s: 1, m: 1}. Give prob of picking 1 k and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1050*m + 1050*m - 13*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 4, -0.18, 0.2, -291.\nAnswer: -291, -0.18, 0.2, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-5*4\/(-5))\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2b696 (base 15) to base 9\nAnswer: -232766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3015, -12393, -28155, -50301?\nAnswer: -78831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 7\/4 (c) 21 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6930 and 439560.\nAnswer: 3076920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32921063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9660323 and -12.\nAnswer: -9660335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -2.288.\nAnswer: -2.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*p + 3*l + 3, -53 = 5*p - l. Let c = -7 - p. Suppose -5*k + 16 = -c*x - 6, -10 = 2*x - 2*k. Which is greater: -5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 45*y**2 + 40*y.\nAnswer: 5*y*(y - 8)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.061 times -5\nAnswer: 10.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.615 and 0.7.\nAnswer: 8.8305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11*4\/10 + 12\/20. Suppose -o = -2*o - 3*w + 6, 0 = c*w + 15. Find the third derivative of -f**4 - 19*f**2 + 7*f**4 + o*f**4 wrt f.\nAnswer: 504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = n - 4, -3*b + 7 + 5 = 3*n. Suppose 3*v = 2*v. Let i(k) = v*k - 2 - k + 6. Calculate i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -119, 2, 482.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4*2*-10. Let u = -103 - -96. Let i = c - u. Solve 0 = 2*y + y - 2*d + 7, -5*y - i*d - 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 6\/4)\/(17\/(-136)). Let z = 97 + t. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 + 44 - 2*p**3 - 45 - 6*p**2. Determine z(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3100442 is divided by 190?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-27))\/(4\/6). Is -1\/33 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324383 to the power of 1\/2, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in 114.93, -7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*g - 14 = 0, -q + g - 7 = 3*q. What is the closest to -1 in q, 5, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16*55\/2200)\/(16\/(-280))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.087 and -125?\nAnswer: 10.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.6 - -47.6. Let j = -87 + z. Let n = -42 - j. Which is the nearest to 0.2? (a) 4 (b) n (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-10))\/(8\/(-20)). Suppose -f - 16 = -h*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/33)*d)*d**22)\/(d**(-11)\/d*d*d**(-1\/18)\/d) assuming d is positive.\nAnswer: d**(6755\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**2 - g + g**3 + 5*g**2 - 3*g**3. Suppose 23 = -9*m + 68. Suppose m = -25*w + 30*w. Determine h(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5837022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (161\/(-35) - (22 + -22)) + 1*5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.57 + -0.43. What is the closest to k in 0, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345401935 and 15155.\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i*u**3*x**2 - i*u*x**3 + 91*i - u**3*x**4 + 2176*x**4 + 11*x**2 wrt x?\nAnswer: -6*i*u - 24*u**3*x + 52224*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:31 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25211 (base 9) in base 7?\nAnswer: 100246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 112 = -u + 2476, 0 = -5*o - 4*u + 4325. Is 859 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28671 and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344*d**3*n*p**2 - 48281*d**3*n*p + 2*d**3 - 1897*d**2*n*p**2 + 2*d**2*p**2 - 2*d*n*p**2 + 1383*n*p**2 wrt d?\nAnswer: 2064*n*p**2 - 289686*n*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6014 (base 8) in base 10?\nAnswer: -3084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/9)*y))**(-39)*y**(-2\/9)\/(y*y**(1\/3)\/y*y) assuming y is positive.\nAnswer: y**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8365.91 - -8480. Let l = 113 - y. What is l rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 25. Let q = -0.014 + 0.114. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4)*6 + 5 + 1*sqrt(5))*1.\nAnswer: 5 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -11*y**2 - 11*y + 3. Let a(k) be the third derivative of -k**5\/15 - k**4\/6 + k**3\/6 + 10*k**2 + 3*k. Give -8*a(b) + 3*p(b).\nAnswer: -b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327670 is divided by 109222.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = 9, 20 = 3*w - m. Let a be (-140)\/(-30)*(w + -2). Let f(u) = -20*u - a*u + 36*u. Let k(l) = -30*l. Determine f(k(g)).\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -9. Sort s, -9, -3 in increasing order.\nAnswer: -9, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*y = -42874 + 7494 for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300658605.\nAnswer: 3, 5, 13, 118603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 1. Let y(i) = 8*i - 3. Let f(m) = -9*c(m) - 2*y(m). Let z be f(2). Suppose t + 3*k - 73 = -z, -k + 233 = 4*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/27)*k)\/k**3 assuming k is positive.\nAnswer: k**(-56\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 93780 and -6.\nAnswer: -562680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -430 + 0*y**2 + 9*y**2 - 2*y**4 + 2*y + 378 wrt y?\nAnswer: -24*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 80*u. Let a(d) = -30*d**2. Give b(a(m)).\nAnswer: -2400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*w**2 + 3*w - 2104?\nAnswer: 10*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 23 - 54*d + 3*d**2 - 5*d**3 + 18*d + 22*d - 31*d. Let b(p) = p**3 - p**2 + 11*p - 6. Let l(k) = 9*b(k) + 2*q(k). List the prime factors of l(-8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1\/4 (b) -2 (c) 0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 17*p**3\/3 - 2*p**2 - 6*p + 18. Let i(o) = 9*o**2 - 2*o - 3. Let q(d) = 5*i(d) - 2*z(d). What are the prime factors of q(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 21. Let j(q) be the third derivative of -1\/30*q**f - 1\/105*q**7 + 0*q**4 + 0*q - 2*q**2 + 0 - 1\/30*q**5 + 0*q**3. Factor j(r).\nAnswer: -2*r**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60 + 97*m + 60 + 5*m**2 - m**4 wrt m.\nAnswer: -12*m**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 22, -14, -1\/10, 2\/5, 113?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1422\/785?\nAnswer: 1422\/785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 1, z: 1, h: 2, c: 1, j: 2}. Give prob of sequence jh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/1398 + -48241\/13980. Find the common denominator of -89\/15 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15738 - -15743. Which is the biggest value? (a) n (b) 24 (c) 1\/5 (d) -0.2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3261.\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 23 + 5 = -4*q, 2*r = 3*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8\/9)*b\/(b*b*(b*b**(-4\/9)\/b*b)\/b)*b*b**(1\/4)\/(b\/b**(-11)) assuming b is positive.\nAnswer: b**(-439\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(1\/(-2)))\/(88*8\/176)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 201*r + 191*r + 30*r - 14*r as u + h*r and give h.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1)*(0 + 0). Suppose c = 5*u + 7 + 8. Let y be 8\/(-3) + 1\/u. Is -3 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00846721 times -0.07\nAnswer: 0.0005927047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3480 + 3486. Let n(t) be the third derivative of -5\/2*t**4 - 16\/3*t**3 + 39*t**2 + 0*t + 0 - 2\/5*t**5 + 1\/30*t**d. Factor n(a).\nAnswer: 4*(a - 8)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33860871*d**2 - 28709*d - 496?\nAnswer: 67721742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/5 + 127*z**4\/5 - 4854*z**3\/5 + 46858*z**2\/5 + 26059*z - 34485 = 0. What is z?\nAnswer: -3, 1, 19, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 16 = 2*h - 12, -3*v - 6 = 0. Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 0.2, 1.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20824 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 + -52. Let j = -30 + m. What is the second derivative of 3*u**4 - 6*u**4 + 4*u - 5*u**4 - 14*u**j wrt u?\nAnswer: -264*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.2, -1\/7, -116.3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4514*a**3*n + 251*a**3 + 609*a**2*n + 17945*a wrt n.\nAnswer: 4514*a**3 + 609*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 2 = 15*d. Let w = -63 - -69. What is the least common multiple of d and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -46 (b) -1\/3 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 4)*(-2 + 2 + 2*r)*(-r + 4*r - 2*r) to z + n*r**2 + u*r and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(20\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2*(-8)\/(168\/9)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 29*f - 1. Suppose 2*y - 5*q + 7*q = -10, -2*q - 10 = 0. Let m(w) = -w**3 - w**2 - w + 4. Let t be m(y). Is h(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a week in hours?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 - 1. Let h = 5 + -3. Let o = 3 - h. Sort m, -2, o in decreasing order.\nAnswer: o, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906054?\nAnswer: 2, 3, 151009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 - 3. Suppose -246 = -4*x + 218. Let r = 576\/5 - x. Which is the third smallest value? (a) r (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10594 + 11226 = -105*o - 367*o - 1308 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 149.601 and -3?\nAnswer: -448.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.701297 months in centuries?\nAnswer: 0.0139177475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 61 = 377. Suppose -p - 173 = -6*b. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 2*t**4 - 4*t**3\/3 - 39*t + 26. What is the first derivative of c(i) wrt i?\nAnswer: 24*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**4 + 0*u**4 + 2*u**4 + (55*u**2 + 274*u**2 - 101*u**2)*(-3*u**2 + 0*u**2 + 4*u**2) as x + k*u**3 + h*u + d*u**4 + i*u**2 and give d.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, -1\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 297 + -243. Suppose 2 = -56*n + p*n. What is the nearest to n in -2\/7, -0.13, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -25. Let x = w - 8. Suppose -3*l + 64 = 4*s, x*s - 16 - 2 = 2*l. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 543 in -397, -0.2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*109\/((-311740)\/312)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 35*m**2 + 219*m + 764. Let s be l(-40). Solve 5*b + s*y = 6, -6*b - 18 = -5*b - 4*y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 6582744.\nAnswer: 32913720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5687753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3 + 202475*f**2 + 11*f + 7255879 with respect to f.\nAnswer: 3*f**2 + 404950*f + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-5\/2)*y)\/((y\/(y**(4\/13)*y*y)*y*y)\/y*y))**(-5\/8))**(-42))**(1\/42) assuming y is positive.\nAnswer: y**(-285\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 245201.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 5. Suppose y - 6 = -2*i, 4 = i + 3*i. Determine c(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13396, 26906, 40428, 53968, 67532, 81126, 94756?\nAnswer: 108428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/(51\/170)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.124534 kilograms to milligrams.\nAnswer: 4124534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1080*h**2 + 272*h**2 - 642*h**4 - 353*h**4 + 742*h**2 wrt h.\nAnswer: -23880*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 + 2*l**2 + l. Let r(a) = -130*a**3 + 8*a**2 + 6*a. What is 6*c(b) - r(b)?\nAnswer: 148*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(14\/357). Let y(f) be the first derivative of f**3 + 3*f**2 - 6*f - 4. Let a(r) = -r**2 - 2*r + 2. Determine g*a(h) + 6*y(h).\nAnswer: h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89141 is divided by 22281.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 22. Suppose 0 = a + c - 8, 2*a - 4*c + 8 = 4*a. Let d be i(a). Suppose -2 - 4 = 2*x. Put 3, x, d in increasing order.\nAnswer: x, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 88, -0.16, 2, 11\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -24*(3 - 39\/9). Suppose -284 = -4*h - r. What is the highest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s**2 - s - 1. Let z(a) = 3*a - 7. Let t be z(2). Determine j(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*k - 30*k**3 - 5 - 2 + 138*k + 7.\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 8*c**2 - 13*c - 12. Let r be k(10). Suppose -4*p = -5*o + r, 0 = 3*o + 3*p + p - 22. Solve -3*d - 2 = o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 488, -426, -1338, -2248, -3156?\n\"Answer: j**2 - 917*j + 1404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 6*r - 53. Give c(0).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from cdchdcckhiid.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 15*b**3\/2 - b**2\/2 + 259*b. Let y(g) = -2*g. Calculate y(u(x)).\nAnswer: -90*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arx when three letters picked without replacement from {r: 10, x: 4, a: 4, l: 2}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/6, -21, 7\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 20 = -5*v, 2*v + s = -2*s - 3. Solve 3*t = -3*h - t + 12, 3*h - 2*t + v = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 59*n - 193. Let v(a) = 4*a**2 - 58*a + 194. Let t(s) = -2*k(s) - 3*v(s). Suppose t(l) = 0. Calculate l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/10)*c*(c**(-2)\/c*c)\/c)\/(c\/c**(-2\/7))**(-27))\/((c**(-1\/3))**42\/(c**2\/c**(-1\/8))) assuming c is positive.\nAnswer: c**(13927\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29981516 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*o = 7120 - 2258 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -11) + 2 + -3 + (-13 - (13 - 82)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*c*m**3*t**2 - 2*c*m**3 + 2*c*m**2*t + 10*m**2 + 2*m*t**2 wrt m.\nAnswer: -162*c*t**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 42*a**3 - 10*a**2 - 6*a - 6. Calculate m(-2).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -1, -5*i - 3*n = -0*n + 12. Sort -4, 277, -0.4, i in decreasing order.\nAnswer: 277, -0.4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from krhdhhhhdrdh?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -305, -391, -499, -623, -757, -895?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318212?\nAnswer: 2, 19, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-120)\/(-75))\/((-4)\/(-5)). Suppose 0 = f + 3*a - 165, -4*a = b*f - 6*f + 676. Calculate the greatest common divisor of f and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 1)*2\/(-36). Let m be (0 + 4)\/(4\/(-18)). Let l be (-16)\/m - 4\/6. Which is the third biggest value? (a) p (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Suppose -5*a + 6*a = v. Suppose 7*u - 78 = a*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.847 + -151?\nAnswer: -206.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110000 + -10011010000?\nAnswer: -1111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -32 + 28 + 74 + (9 - 4).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16140 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12 = -2*m. Let f(u) = -2*u**3 + 56*u**2 + 59*u - 31. Let p be f(29). List the prime factors of (-9)\/p*m\/(7 + -6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-3)\/3*(-35)\/((-30)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 929176.1ml to litres.\nAnswer: 929.1761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, -1590, -3 in increasing order.\nAnswer: -1590, -196, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055758 rounded to 7 decimal places?\nAnswer: -0.0000558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 7. Let y(o) be the second derivative of o**3\/6 + 3*o**2\/2 + 19*o. Give -2*f(z) - 5*y(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 11*l + 2. Let r(n) = 3*n**2 + 32*n - 6. Let g(x) = -17*q(x) - 6*r(x). Let s be (-20)\/6 + (-4)\/6. What are the prime factors of g(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*t**3 + 5*t - 57*t**3 - 3*t + 12 - t to o*t**2 + p*t + w*t**3 + q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {r: 2, p: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxdxjqj. Give prob of picking 1 j, 1 q, and 1 x.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**3 - 4*u. Let t(w) = 4*w**3 + w**2 - 3*w. Suppose -8*s - 3 = 21. Give s*n(f) + 4*t(f).\nAnswer: f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 27*p + 23. Let f be b(-1). Let d(r) = r**3 + 3*r**2 - 3*r. What is d(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1. Let a = 2.46 - 0.46. What is the third biggest value in 4, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1) + (-5 - 2). Let j = q - -20. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2984100 - 2984099.6300122. Let p = -0.37 + l. What is p rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 699 + -692. Is (3946\/u)\/((-4)\/(-14)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52, 90, 128, 166, 204, 242?\n\"Answer: 38*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*b = -21, -11*u + 15*u = -b + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1.33.\nAnswer: 5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 463, 928, 1393, 1858, 2323?\n\"Answer: 465*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, b: 3, e: 1, j: 1, x: 1, f: 2}. Give prob of picking 2 v and 1 b.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 12*y**4 + 2*y**3 + 2*y - 4*y - 26*y**4 + 16*y**4 to the form m*y**2 + a*y + q*y**3 + d*y**4 + n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*q*w + 339*c*q - 62*c*w**2 - 6*q*w**2 + 3*q*w wrt w.\nAnswer: -124*c - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -1\/84*l**4 - 1\/30*l**5 - 2\/105*l**6 + 0 + 5*l**2 + 0*l + 16\/735*l**7 + 0*l**3. What is t in a(t) = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182 + -191 + (-1 + -59 - (1 - -4))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 11*t**2 + 45)*(5*t**2 + 12*t**2 - 8*t**2) + 3*t**4 + 0*t**4 - t**4.\nAnswer: -97*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 807463220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6554 * -0.06\nAnswer: -393.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2280)\/(-36))\/((-1)\/(-6)). Suppose 0 = k - 313 - i. List the prime factors of k.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/1 - 4 - 6. Let t = g + 8. Suppose -315 = -5*z + t*h, -2*h - 320 = -5*z + h. Calculate the remainder when z is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 21*t - 43. Let a be x(-22). Let w(g) = -2*g**2 - 42*g + 85. What is the tens digit of w(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**2 + 5*o - 3*o + 3 - 6 + o**3. Suppose 15 = -3*r - 3*n, 5*n - 3 = 4*r + 8. Let a be m(r). Calculate the highest common divisor of 231 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -65995.68677378 and 0.2.\nAnswer: -65995.48677378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4159, 4095, 3967, 3757, 3447?\nAnswer: 3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -8*m + 21. Solve 3 = -5*k + 4*a - 12, m*k + 4*a = 23 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 11:45 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 812275.2 days?\nAnswer: 70180577280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1131452102 to 5 dps.\nAnswer: -0.11315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9733604+32767\nAnswer: 9766371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -312 - -5.7632306762\nAnswer: -306.2367693238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*f + 814 - 823, -5*j + 15 = -2*f. Factor 8\/3*a - 32\/3*a**j + 0 - 4\/3*a**2 - 20\/3*a**4.\nAnswer: -4*a*(a + 1)**2*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 4. Let d = -8 + g. What is the closest to 0 in d, 1, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -10. Let f = u + -7. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)*a)\/(a*a**(-4\/5))*a**(-7)\/a*a**(4\/5)*(a**(-1))**43*(a*a*a*a**(4\/3)*a*a)\/(a\/(a*a\/((a**3*a)\/a))*a) assuming a is positive.\nAnswer: a**(-232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 532 = 2*q, 241 = -q - 3*y. Let j = -172 - q. Suppose 5*m - x = 98, -3*m + 2*x - j = -7*m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 179*z**2 + 1170*z + 1369. Calculate d(52).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-1) + (-3 - 0). Suppose -2*m = -k, -3*m - 51 = -5*z - 2*m. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137851 + 39725 = -7399*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 19894411?\nAnswer: 159155288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*o + 27 = 0, -i + 9 = -o - 0. What is the remainder when 26 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 49*n + 45*n + 7, -18 = -5*p - 3*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 7:01 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 334 - 222. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*q - 40360, 4*q = -68 + 64. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 34*w + 144. Give c(13).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*s = -4*u + 8, -4*s - 6 = 2*u. Let y = 2 + u. Calculate the remainder when (-24)\/(-2)*4\/y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30668 and 374.\nAnswer: 30668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 12*u**3 + 0*u**4 + 0*u**5 + u - 199\/6*u**6 + 0*u**2 + 77. Find the third derivative of f(o) wrt o.\nAnswer: -11940*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*m - 4763 = 15394 - 845. Solve 0 = 273*j - m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 668? (a) 1\/683 (b) 2\/11 (c) -425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 2*b + 356. Let o be j(-17). What is the highest common divisor of 29 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183831 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2207 + 0?\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -776 + 498. Let w = -277.98 - u. Which is the closest to -23? (a) -4 (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 19. Let y(k) be the second derivative of 1\/90*k**6 + k + 1\/18*k**3 - 1\/18*k**4 + 0 + 1\/126*k**m - 1\/30*k**5 + 1\/6*k**2. Factor y(z).\nAnswer: (z - 1)**2*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yggy when four letters picked without replacement from {y: 8, g: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*f**2*r**3*s**3 - 1555*f**2*r**3 + 426*f**2*r**2*s**3 - 3*f**2*r*s**2 - r**2*s**3 wrt r?\nAnswer: -54*f**2*s**3 - 9330*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*x - 5430 = 367*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/8 + b**3 + 11*b**2. Let c be (-5)\/2*(-12)\/10. Let y = c + 4. Let o(x) = 2*x - 4. Give y*o(z) + 5*n(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1000110?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-6 - -4)*1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f**2 + 12*f - 15. Let t(y) = 7*y**2 + 5*y - 8. Let p(c) = -7*t(c) + 4*w(c). Determine p(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -825 by 275.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 17. Let o be (-15)\/(-10) + 6\/4. Suppose -22 = k - o*k. Calculate the greatest common factor of k and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8295023325 to the nearest integer?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(47 + (-76575)\/1625).\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 275220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/30608 and -91\/388?\nAnswer: 2968976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + ((sqrt(108) + 1 + sqrt(108) + sqrt(108))*3*4*2)**2 + -4).\nAnswer: -3362694 - 124416*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:58 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366180.6g to kilograms.\nAnswer: 366.1806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose -2*t + 0*t - j*l = -29, 0 = -3*t + 5*l + 15. Let h = 16 - t. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -436, 14, 214 in increasing order.\nAnswer: -436, -30, 14, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 + 203 = -4*j. Let a(w) = -6*w**2 + 2*w + 2. Determine a(j).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -16. What is the remainder when 54 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 plus -445283?\nAnswer: -445234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 10)*(0 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1287.1?\nAnswer: 514.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240115?\nAnswer: 5, 48023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-6 - 3)) + (-8 - -1 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.097 - -0.097. Let r = -17 - -101\/6. Which is the nearest to -1\/3? (a) 3 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c**2 - 6*c + 146. Is 20 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*v**2 - 11*v**2 - 120*v**2 + (2 - 4*v**2 - 4 + 2*v**2)*(4 + 0 - 3) + (-23*v + 4*v - 15*v)*(3 - v - 3).\nAnswer: -71*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 smaller than 11352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 39, 55, 91, 153, 247, 379, 555?\n\"Answer: p**3 + p**2 - 8*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 7*a - 8. Let w(i) = -699*i - 5. Let f(m) = -1398*m - 10. Let h(j) = 2*f(j) - 5*w(j). Let p be h(a). Round p to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 244, 247 in decreasing order.\nAnswer: 247, 244, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7256.442 grams to micrograms.\nAnswer: 7256442000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*v**3 + v + 2*v**4 + 5*v**2 - 12*v**2 + 0*v**4 + 2*v**2 - 3*v**2 to the form u + q*v**4 + t*v + n*v**2 + j*v**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38104 and 51264169?\nAnswer: 4763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11769100 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**19\/w)\/w)**(18\/11) assuming w is positive.\nAnswer: w**(324\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*v + l + 20, -4*v - 5*l + 16 = 0. Is 1038\/4 - v\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*-1*20\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j - 282. Calculate d(27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2877 - 0.2123. Which is the fifth biggest value? (a) 1 (b) -2\/3 (c) 5\/3 (d) g (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3252015 divided by 9265?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(75)))**2.\nAnswer: -320*sqrt(3) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 7. Let w(x) = -25*x - 360. Let a be w(-14). Give d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.21 - -0.21. Let x = p - -13.9. Let j = -0.1 - x. Which is the nearest to j? (a) 0 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68194291*g**2 - 49821081*g?\nAnswer: -136388582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -10. Let g = p - -5. Suppose 0 = 7*n - g*n - 90. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 30128*j**2 + 15*j - 20. Let p(r) = 15065*r**2 + 8*r - 11. Let v(z) = 6*d(z) - 11*p(z). Is v(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 36.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 463183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(66\/30)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 4:33 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/4)\/(((-18)\/3)\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 14*h**2 - 28)*(h + 12*h - 5*h).\nAnswer: -112*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -6, 3, 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5317.858 to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 6534\nAnswer: -1\/6534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307482703.\nAnswer: 2203, 593501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0962 times -309.1\nAnswer: -29.73542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 732*i + 176722. Give v(-240).\nAnswer: 1042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 590\/40 + 1\/4. Suppose a = 2*s + 9. Find r, given that 2*r**s + 5\/3*r**4 + 1\/3*r**2 + 0*r + 0 = 0.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 8*i**2 + 14*i + 12. Let z be (-2*15\/(-18))\/((-348)\/2088). Give c(z).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.57 - -1.4. Let q = 4.17 + h. Which is the closest to 2\/3? (a) -0.11 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10476493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 2:35 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 36 + 2*i**3 + 18*i**3 + 16*i**3.\nAnswer: 36*i**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 12.8, 5, 2.2, -2, -2\/5, -3.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8170 = -34*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 486, 1327, 2518, 4065, 5974?\nAnswer: 8251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9526 - -57157\/6. Let i(r) be the third derivative of -6*r**2 + 0 + 1\/8*r**4 + 0*r + a*r**3. Determine i(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.9 times -23\nAnswer: -365.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-6)*2\/1. Let l = 2 + k. Which is smaller: l or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.5 + 24. Let x = 15 - 11. Let q = 8.3 + -8. Put l, q, x in decreasing order.\nAnswer: x, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -40.\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/15, -5, -2.8, 0.04468?\nAnswer: 0.04468","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4170948 to the nearest integer?\nAnswer: 2042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, m: 4, w: 2}. Give prob of picking 2 t and 2 w.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -30, 1, 3 in decreasing order.\nAnswer: 3, 1, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) 331 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49373.\nAnswer: 97, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3259, 13134, 29699, 53038, 83235, 120374, 164539?\nAnswer: 215814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-12)*(0 + -2)*2. Suppose 8*d = a*d + 306. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13.6 and 295.\nAnswer: 308.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3065?\nAnswer: 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v + 37. Let f be w(19). Suppose -11*k + 14 = f. Which is the nearest to 2? (a) 1 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -0.40566?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, and 1 u when three letters picked without replacement from {p: 1, c: 1, i: 1, u: 1, y: 2, h: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 10:55 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6238.\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 2*n - 4*n)*(-7 - 23 + 6) + 4*n + n - 3*n - 3*n + 3*n - 2*n + (-5*n + n + 2*n)*(0 + 1 - 3).\nAnswer: 52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -144234?\nAnswer: 144243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 144*u**2 - 16 - 4 to b + y*u + h*u**2 and give h.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -80?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 20 = 8*o, -3*o = -d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-6 - (-507)\/65)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 678 divided by -990\nAnswer: -113\/165","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8567, 17176, 25785, 34394, 43003, 51612?\nAnswer: 60221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 85)\/(1 - (-1 - -1)). Which is bigger: 86 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/14 and (24\/(-240))\/((-4)\/165).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49876 and 3707.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 + 50*c + 57. What is the remainder when 321 is divided by o(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/3 + 2 + 434\/6.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2517 + 5028 + 3*w**2 - 2497)*(3*w**2 + 0*w**2 - w**2) as t*w**2 + b*w**3 + d*w + r*w**4 + p and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171 - -514\/3. Is 36 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -382 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 428827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/(c\/(c**(12\/7)*c)))\/((c\/c**(-5))\/c*c**(-1\/15)*c) assuming c is positive.\nAnswer: c**(-1073\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -3*v - 4, -2*v = -8. Suppose 40 + 40 = 34*j + 12. What is the remainder when m is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 38 = 4*f, -3*q - f + 13 = -0. Suppose 3*m + r - 11 = 0, 0 = -4*m + 5*m - 2*r - q. Solve 3*w + 2*k = 8, 14 - m = 3*w + 4*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.761 - 0.761. What is the second biggest value in -1.1, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17091.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2446 divided by -41315?\nAnswer: 2446\/41315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/5, 1, -2, -4\/3, 4128, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/(-30)*4)\/(2\/12). Solve 3*n = y + 8, y - 6*y = -5*n + v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 10\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -3. Is (t + 3)\/(2\/(-402)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(12\/(-4)) - 4. Suppose 4*i - 21 = -h. Put -1, 0, 4, i in decreasing order.\nAnswer: i, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -125.801274 - -125.8. Round p to five dps.\nAnswer: -0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 149254 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654 divided by 757406.\nAnswer: 327\/378703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7563 + 3832. Let w = 3578 - q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7\/(((-2)\/(-1) - 1)\/17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {w: 5, k: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2.5. Let p = 4.7 - 1.7. Let f = p - 7. Which is the smallest value? (a) f (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/(11\/132). Let f = q + 4. Factor 2\/7*s**4 + 2\/7*s**3 + f - 2\/7*s**2 - 2\/7*s.\nAnswer: 2*s*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 48 = -4*x. Let z(h) = -2*h - 8. Calculate z(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 32 + (-2 - -8) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, w: 4, a: 1, n: 8}. What is prob of picking 2 e and 1 w?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/6 - 5*s\/6 = 0. Calculate s.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -0.14249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000367425154 rounded to seven decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -54\/23*a + 18\/23*a**2 + 54\/23 - 2\/23*a**3 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57273656 by 13.\nAnswer: 57273656\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -38 + 27 - r + 17. Calculate b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 91393, 93550, 95707, 97864, 100021?\n\"Answer: 2157*v + 89236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*x + 20*x - 109 - 131 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -107195024.2679 take away -5?\nAnswer: -107195019.2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l + 144126 = 23*l + 2*k, 5*l = -4*k + 180165. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 + 0*g**5 - 2*g**5 + (-31206*g - 184*g**4 + 31206*g)*(-3*g + 5*g - g).\nAnswer: -182*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402126, -804267, -1206408?\nAnswer: -1608549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340996 is divided by 4871?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 8:04 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36253.\nAnswer: 7, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2 + 21*w + 3. Let r(k) = -6*k**2 - 20*k - 4. Let g(t) = 5*o(t) + 6*r(t). Let l be 7*(1 - (18\/21 - -1)). What are the prime factors of g(l)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 1:16 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2163 and 844291.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m**2 - 4*m**3 + 3*m**2 - 10*m - m - 3*m**3 + 4*m**2 in the form q*m**2 + j*m + x + u*m**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -37*t + 1. Determine g(2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26370386*m**2 + 12658283 with respect to m.\nAnswer: 52740772*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -226881?\nAnswer: -7\/75627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*y - 14 = 0, -b + 2 - 12 = -4*y. What are the prime factors of (136 - b)*7\/14?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + 5*f**2 + 3*f + 3. Determine q(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/34 + 38246\/(-34). Let y be (-4)\/(-30) + 15\/(m\/3460). What is the third smallest value in y, 1\/4, 0.4, 1\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i**3 + 7*i**2 - 17*i - 13. Suppose 28 = -5*v + s, -s + 9 - 11 = 0. Let p(f) = -5*f**3 + 3*f**2 - 8*f - 6. Give v*a(o) + 13*p(o).\nAnswer: o**3 - 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 328904 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -543 (base 7) to base 15.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164 - 50. Let a = l - 111. Solve 4\/9*n**a + 0*n - 2\/9*n**4 - 2\/9*n**2 + 0 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136\/(-426)*(-6)\/(-8)*54\/(-28).\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385540 is divided by 7833.\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13 + 2*n**3 + 4*n**3 - 4*n**3 + n**2 + 10*n**2. Let x(g) = 2*g**3 + 10*g**2 - 12. Let o(w) = -4*t(w) + 5*x(w). Factor o(l).\nAnswer: 2*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -46)*(-12)\/12. Let m = -41 - s. Let k(t) = m*t + 12*t + 10 - 20*t. Give k(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-15))\/(3\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 357.4.\nAnswer: 356.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4310, 16429, 36626, 64901, 101254, 145685?\n\"Answer: 4039*l**2 + 2*l + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.48 + 0.26. Let y = d + 0.2132. Round y to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -28*v - 1. Let n be y(1). Let k be -1 + (0 - n - -2). Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-11 - -5) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a kilometer in meters?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 237 and 516?\nAnswer: 40764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -2, -47, -120, -221?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1136187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lypyl. What is prob of picking 2 y and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*b + 20, 2*b = b. Let g(y) = -y**3 + 13*y**2 - 24*y - 6. Calculate the remainder when g(m) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -206511, -413021, -619527, -826023, -1032503, -1238961?\n\"Answer: z**3 - 4*z**2 - 206505*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 31*i = -175. Suppose -2*v - 3*j = -7*v + 56, j - 3 = 0. What is the remainder when v is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001 - 12?\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 123\/2 (c) -5 (d) 0.4 (e) 5 (f) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(192).\nAnswer: -3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 0.0763.\nAnswer: -0.2237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7240516*u**3 + 4179479.\nAnswer: -21721548*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168261781549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.863 at most 9\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19560 and 690290568.\nAnswer: 690271008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 + 6*x**2 - 68. Let y(n) = 12*n**2 - 73*n + 12. Let p be y(6). Let v(f) = -2*f**3 - 5*f**2 + 69. Give p*v(b) + 5*i(b).\nAnswer: -2*b**3 + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 5352017.\nAnswer: 10704034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2*p - 6 = -8*y, 4*y - 15 = -5*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u - 3. Let j(v) = -v**3 - 8*v**2 + v + 8. Let g be j(-8). Let k = g + -2. Is k bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-1)*g*g**(2\/53)*(g**5)**(-35))**(-50) assuming g is positive.\nAnswer: g**(455700\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 3*y - 33964*y**3 + 0*y + 27442*y**3.\nAnswer: -6522*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 467 in -1, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/576 and 71\/48.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 15.8, 0.1, 0 in descending order.\nAnswer: 15.8, 0.2, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9093? (a) -15 (b) 5 (c) -1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -5*s**4\/12 + s**3\/2 - s**2 + 40*s - 14. Let y(w) = -14*w**2 + 9*w - 5. What is 8*d(v) - 3*y(v)?\nAnswer: 2*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from ppfpf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 14*p + 7*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 85 = -5*f, 4*o - 2*f = 3*f + 70. Calculate the smallest common multiple of 1 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11681018*z**3 + 1232596*z**2 - 19*z wrt z.\nAnswer: -70086108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/343 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2806\/13 + 216. Let j = 1557\/5 + -16541\/40. Let m = j + 102. Which is the third biggest value? (a) o (b) 3\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1094\/465 - -3\/155. Which is the second biggest value? (a) 1\/6 (b) y (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -44062\nAnswer: 19\/22031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31070?\nAnswer: 2, 5, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (900\/135)\/((-22)\/((-1760)\/50))?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**3 - 7455*r**2 - 1046250*r.\nAnswer: -5*r*(r + 558)*(2*r + 375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-33)*((((f**(3\/7)\/f)\/f)\/f*f)\/f)\/f**1)\/(((f*((f**(1\/3)\/f)\/f)\/f)\/(f*f\/(f*f**(2\/3))))\/(f*f**(-1\/5))**(-2\/109)) assuming f is positive.\nAnswer: f**(119844\/3815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (4*15\/(-35))\/((-2)\/105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 1, -0.69?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 381 + -65. Does 62 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 32108.\nAnswer: -1\/32108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -66. Let x = b - -21. Calculate the remainder when 39 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12315 * 1.\nAnswer: -12315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34681231 and 3601.\nAnswer: 3601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/108 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 9 - (-63 - -79).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1039*v + 71719. Determine h(-69).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p - 29. Let o(h) = -3*h + 15. Let t(v) = -4*f(v) - 7*o(v). What are the prime factors of t(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.9 (c) 339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18867816 and 3492.\nAnswer: 1830178152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -150. Let p = g - 58. Suppose p*a - 3*n + 3 = 61, 2*a = -2*n + 68. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46385 - -81586. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 28422*y**3 + 0*y**2 + 2*y**2 - 14466*y**3.\nAnswer: -42888*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -46 - (9 - 3) - (1 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-14)\/b**(-5\/2))**(-50)\/(b\/(b*b*b*b**9)*((b*b\/(b\/((((b*b**(-3))\/b*b)\/b*b)\/b*b))*b*b*b)\/b)\/b*b*b)**(-44) assuming b is positive.\nAnswer: b**179","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9732666 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3)*(11*f**2 - 4*f**2 + 58*f**2)*(4*f**3 - 6*f**3 + f**3 + 0*f**3 + 3*f**3 - 4*f**3 + (f - 1 + 1)*(0*f - 2*f**2 + 0*f) - f**3 + 0 + 0).\nAnswer: -325*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*h = 10, -8*o + 2 = -9*o - 3*h. Is 105\/7*(o*1 - -59) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/32, 1, -3 in ascending order.\nAnswer: -3, -0.1, 3\/32, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 11:19 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4974151, 4974152, 4974153?\n\"Answer: s + 4974150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11995.634 to the nearest one hundred.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 - 4*t + 1. Suppose 12*g + 20 = 16*g. Is w(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -75110 + -46?\nAnswer: -75156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18342342 divided by 27.\nAnswer: -679346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(304) + 1 + 3)**2.\nAnswer: -1280 - 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 7, 51, 159, 355, 663, 1107?\n\"Answer: 4*o**3 - 4*o**2 - 12*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -9 - 0. Suppose a + 7 = z. Let q = 0 + z. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/173855?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 451.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 574, 579, 582, 583?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 43*b**2 + 6*b - 4. Let l be k(-3). Let a = l - 362. Solve -5*z + a = -4*p, 5*p - 11 = 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -2, -4, 169, 0, 3 in decreasing order.\nAnswer: 169, 3, 0, -2, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -0.1, -5, -0.3, 6141?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1557 times 1060\nAnswer: 1650420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 5922.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61522 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 14*x + 86 + 88 = 0, -2*m + 589 = 2*x + 567 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -207817, -207667, -207529, -207409, -207313?\n\"Answer: -f**3 + 157*f - 207973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (18 - 35 - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/((-2)\/(-4)))\/(2\/9). Solve 2*r - 5*r = n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 i when three letters picked without replacement from hhhiihhi.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5625 = -517*v - 504*v + 1576*v - 480*v for v.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 5. Let t be l(-3). Let a = t + 166. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 230\/40 + (-3)\/4. Let y(p) = -26*p**3 - 2*p**2 + 1. Let t be y(-1). Let i be (t\/q)\/(-1 + 2). Solve 6*z - 2*c + 8 = 4*z, 4*c = -i*z - 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9 = 15. Suppose -i + 0*i = 5*r - v, -r - 8 = -3*i. Suppose -5*k = -o - 2 - 6, 3*o + 2 = 4*k. What is the second biggest value in -2\/7, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 + c - 7. Let t be v(0). Let i = t + 11. Suppose -i*u - u + 70 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5724633*z**3 + 3*z**2 - 48257896*z wrt z?\nAnswer: -34347798*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*q + 13 = 2*y, -2*q + 5 = -3*y. Let g = 10 - q. Let c = 3 - 7. What is the third smallest value in c, 0.03, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 19 = -2*v, 0 = -3*n - 7*v - 74 + 91 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697 is divided by 176.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 671 and 554812324.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 8:44 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 8*q**2 + q - 25. Determine d(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*(-1)\/(-6)*392\/294.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 62*k - 110. Let i(q) = -q**2 + 22*q + 36. What is -6*a(d) - 17*i(d)?\nAnswer: -d**2 - 2*d + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -516, 2, -2, 3 in ascending order.\nAnswer: -516, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5937958358 to the nearest integer?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2196387878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 50*o**2 + 333*o - 16. Let s be m(-6). Solve 2*g + 0 + 1\/5*g**5 + 9\/5*g**s - 11\/5*g**3 - 9\/5*g**4 = 0 for g.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 8. Let p be c(-6). Let b be p\/5 - (-21)\/(-15). Put -3, -2, b in descending order.\nAnswer: b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42616 and 722714090?\nAnswer: 10654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435 greater than 4437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**2 + 0 - 5\/24*x**4 - 7\/6*x**3 + 0*x. List the prime factors of z(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 9484973\nAnswer: -37939892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25808, 25807, 25806, 25805, 25804?\n\"Answer: -a + 25809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 10*x + 10. Let p = -17 - -26. Let k be m(p). Let g = k - 13. Calculate the lowest common multiple of g and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 2560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 e when three letters picked without replacement from eeuaaaau?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1289 = 3*p + k, -29*p + 30*p + 5*k = 439. Calculate the remainder when p is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4, 22, 0.4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237050908 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 34*a + 84.\nAnswer: 2*(a + 3)*(a + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4374 + 4373.89. Which is the second smallest value? (a) -5 (b) -19 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -21*l - 142. Give j(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 - 2*s - 3. Let b be n(-1). Solve r + 3*z - 3 = 0, 4*z - b*z = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -j + 4*b, 352*b = -5*j + 348*b - 32 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519672 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 391869352 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1853, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28888 is divided by 9000?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-1113)\/21)\/(-25440).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 256 = 2*w. Let u be w\/(-40)*1\/(-4). Let b(g) = g**2 - 6*g + 5. Let q be b(5). Is q greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7098*g**3 - 172*g**2 + 22*g + 172*g**2 - 22*g.\nAnswer: -7098*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + -13 - (1 - 5). Suppose 5*l - 3*l = v. Sort l, -0.5, 1 in descending order.\nAnswer: l, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) -2 (c) 856 (d) 0.3 (e) -20 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -40324000 to the nearest one hundred thousand.\nAnswer: -40300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from bbpmmpbkbmmxmmmymmbm?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 11*r = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4 + -1 + 4)*21. Let r = 24 + x. Suppose -2*a - 3*z + 11795 = r*a, -9436 = -4*a - 2*z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 q when three letters picked without replacement from {f: 6, q: 7, n: 2}.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27104 divided by 14?\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (282\/(-235))\/(21\/245)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -297.000068 - -297. Round y to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27c (base 13) to base 4.\nAnswer: -12321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42 + 2*f**2 + 2*f**2 + 3*f**4 - 14*f**2 wrt f?\nAnswer: 12*f**3 - 20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1839*u + 2. Let h(v) = -49591*v. What is h(f(o))?\nAnswer: 91197849*o - 99182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 17*f**7\/7 + f**6\/2 + 8*f**5\/5 - 2*f**3 + 397*f + 1193. Find the third derivative of t(l) wrt l.\nAnswer: 2040*l**3 + 180*l**2 + 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 26 - ((-25)\/6 + 8\/48).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + (sqrt(1331) + 0)*6 + (6*(0 + sqrt(1331)) - -4*(1 + sqrt(1331)))))**2.\nAnswer: 9856*sqrt(11) + 1363140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 2*t**2 - 2*t + 37. Let q be d(0). Find the first derivative of -10 + q*z**2 - 15*z**2 + 27 wrt z.\nAnswer: 44*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/4 - 3\/12. Let k be -3 + 34 + c + 1. Let h(d) = d - k + 30. Give h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g**3 + 1 - 11*g**2 - g + 0*g**3 + 11*g**2. Let a be z(2). What is the third derivative of 54*h**6 - h**2 - 5*h**2 - a*h**6 wrt h?\nAnswer: -1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/4 + 2*q**3 - 9*q**2\/2 - 8*q - 2. Calculate the least common multiple of 12 and l(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 7 = -2*m, -m - 3 - 1 = 0. Let s be ((-1)\/q)\/((-3)\/(-9)). Let i = s + 2. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 301 + -301.0978. Let c = 0.0022 - z. Let h = -18 - 34. Are c and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11863*v - 3*j = 11860*v - 7*j + 97, -17*v - 4*j = -83 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36380195624 take away 40?\nAnswer: -36380195664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.4, -3\/2, 53\/6, 3, 2.8, 2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 6*m + 6. Let h be x(7). Let z = h - 3. What is the closest to -1 in z, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26619 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/15695?\nAnswer: -1\/15695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1955755 + 21?\nAnswer: -1955734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 0, 48, 10 in ascending order.\nAnswer: 0, 4, 5, 10, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjjkjzr. What is prob of sequence rz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 10:02 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10 = -10. Let z = 7 + x. Let i be (-20)\/(-32) + 1\/8. Is z at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*c - 12. Let u = 31 + -20. What is the lowest common multiple of u and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/12 - 5*w**3\/3 - 2*w. Factor d(o).\nAnswer: o*(o - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1. Let w(v) be the first derivative of v**4\/4 + 2*v**3\/3 + 6*v + 58. Let t(j) = -j - 1. Let h be t(0). Give h*w(i) - 4*u(i).\nAnswer: -i**3 - 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00380682 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a05 - -11?\nAnswer: 2a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 265.96 to zero dps.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 + 3*q**2 + 0*q**2 + (q + 3*q - 5*q)*(-q - 2*q + 2*q) + 2*q - 2*q - 2*q**2 - 3*q**2 + 8*q**2 + 0*q**2 + (-2*q + 2*q - 6*q)*(-5*q - 31*q + 0*q).\nAnswer: 218*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 + -17)*5\/4. Let z(s) = -3*s**3 - 5*s**2 + 6. Let o(g) = -2*g**3 - 4*g**2 + 5. What is n*o(q) + 4*z(q)?\nAnswer: -2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2768 divided by 7.\nAnswer: -2768\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 - -158. Suppose -63*n - 596 = -b*n. Round n to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -0.064 (c) -1\/79 (d) 30 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - 2 - z + 2)*(-11 - 8 + 12).\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i**2 - 11*i + 29. Let q(t) = 3*t**2 + 3*t - 7. Let k(y) = -2*o(y) - 9*q(y). Let n(r) = r + 1 + 5*r - 2*r - 5. What is -2*k(c) - 3*n(c)?\nAnswer: 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 29, 60, 103, 158, 225, 304?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -142*f. Let o(r) be the first derivative of 2*r**2 + 483. Calculate o(l(b)).\nAnswer: -568*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 115. Let x be 0 + 6 - (-9 + 9 + j). Solve 0 = 3*b + 2 + 4, 0 = -2*c + 4*b + x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92172453 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from bpvpbbphphhyh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 7. Let k be 9\/12 - 188\/16. What is i(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = r + 2*l + 12, -2*r = -2*l - 16. Solve r*p - 4*z = -14 - 6, -8 = 3*p + 2*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, -4\/57 in decreasing order.\nAnswer: 0.2, -4\/57, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - 3.94. Let d = 89.3 - 85. Let b = d + q. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 1\/2*o**4 + 0 + 1\/70*o**7 + 0*o + 2\/5*o**5 - 10*o**2 + 0*o**3 + 1\/8*o**6. Factor t(f).\nAnswer: 3*f*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from auiaobyb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190 - 190 - 5*b + 4*b - 3*b - 3*b + 2*b + 4*b - 5*b + (2 - 3 + 3)*(5*b + 2*b - 5*b) - b + 3*b - b)*(-1 - 1 + 1).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 2. Let s be c(-5). Suppose -7 = -a + 3. Does 4 divide 8\/12 + a\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -q - 2*q - 28, 0 = -3*q. Let c = -8 + m. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*b*m**3*o*v + b*m**3*v - 7*b*m**3 + 2*m**3*o*v - m**3*o + 2*m**2*v - 1 wrt o?\nAnswer: -25*b*m**3*v + 2*m**3*v - m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1746\/7 - 250. Which is the nearest to 0? (a) x (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 884002 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11974453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1425, 2777, 4117, 5445, 6761?\nAnswer: 8065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -254, -2, 513 in decreasing order.\nAnswer: 513, -2, -3, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/((40\/(-5))\/8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) + (-202)\/(-5). Suppose 0 = 5*l - 4*m + 79, -4*m = 7*l - 3*l + 92. Let u = 35 + l. What is the greatest common factor of u and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 37. Suppose 2*l = -6 + k. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2, 282 in decreasing order.\nAnswer: 282, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -44156 (base 10) to base 4\nAnswer: -22301330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 8*w + 6. Let p be h(-8). Suppose 0*n = -n - p. What is the units digit of (-3)\/2*4\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 + 1937730*y\/7 - 5813208\/7.\nAnswer: 2*(y - 3)*(y + 968868)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118\/199 + 3267\/5174. Let o = 1.2 + -0.2. Which is the closest to 0.1? (a) o (b) p (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*x + 5, 307*q - 309*q = 2*x - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 92.804?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2022)\/(-15)*(-36 + 51) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 - (-133 + (-7 - (-7 + 12)) + -1))\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j + 16 - 16)*(2*j**2 + 3*j**3 - 2*j**2).\nAnswer: -21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1. Let j(v) = -v + 5. Let i(c) = -6*g(c) + j(c). Give i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 426786852 + -426786785.0000001. Let l = -67 + c. Round l to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*k - 160 = -276*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 9:13 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39926 is divided by 39592.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a - -1a939?\nAnswer: 1a965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4210, 16921, 38112, 67789, 105958, 152625, 207796?\nAnswer: 271477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**5\/20 + c**4\/3 + c**3\/3 + c**2\/2 - 4*c. Let m be 9\/6*8\/(-3). What is l(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - t - 28 = 3*t, -4*h + 13 = t. Let j(n) = 2*n**3 + 20*n**2 + 10*n. Let b be j(-9). Let l = b + -52. Calculate the greatest common factor of h and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:18 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiui when four letters picked without replacement from uuqsuisiiuiiuiss.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvvvvvvivviv. Give prob of picking 1 i and 3 v.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -694 (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.664521 or -177?\nAnswer: -2.664521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 51. Let x(m) = m**2 - 18*m + 13. Let c be x(q). Suppose -c*i**2 + 11*i**3 + 15*i**4 - 7 - 5*i - 6*i + 5 = 0. What is i?\nAnswer: -1, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w - 3. Suppose -2*i + 3*m + 1 = -0*m, -5*i + 4*m = 8. What is the units digit of b(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 64 = -3*z, -z - 44 = -4*z - 5*w. Suppose 2*j = 21 - 5. What is the remainder when z is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12866?\nAnswer: 2, 7, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*s - 12 = -3, -5*v + 2*s - 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2319248 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7647 + 7646. Which is the biggest value? (a) s (b) -11 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 43. Let i be 4272\/(-20)*(-5)\/(-20)*-10. Calculate the highest common divisor of i and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 3, x: 4, s: 1, r: 2}. What is prob of sequence hrxs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/(-11) - -5 - -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 2*i - 4*i**3 + 1 - 5*i - i**3. Let f be p(-1). Solve 3*w - 8*w + f = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.38 and -1?\nAnswer: -4.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(32) + sqrt(8) + sqrt(8))**2.\nAnswer: 80*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 684*t**3 + 12995*t**2 - 13699*t + 20 = 0. Calculate t.\nAnswer: -20, 1\/684, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 52.315 kilograms?\nAnswer: 0.052315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18176 = 1018*h - 734*h for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 188 = -4*z, -z + 3*k - k = -32. List the prime factors of (-6)\/z - 190\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -0.1 (c) 8\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6243179t to milligrams.\nAnswer: 624317900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*a + 29*a**2 - 739*a + 1461*a.\nAnswer: 29*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662538?\nAnswer: 2, 3, 23, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/6134 and -77\/12268.\nAnswer: 12268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3204 (base 5) in base 8?\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 + 163. Let o(a) = 15*a + 100. Is o(f) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/17))\/(k\/k**3*k)*k**5\/k**(-5) assuming k is positive.\nAnswer: k**(202\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 12) in base 16?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -129*l**4 + 183*l**3 - 295. Find the third derivative of x(k) wrt k.\nAnswer: -3096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 - 2 = 0. Suppose -o - o = u. Is 5 a factor of o\/(-22) + 141\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = x - 5, -2*x + 15 = 3*i + 2. Let h(f) = -4*f - 1. What is the lowest common multiple of x and h(-2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -3. Let u = -14166\/11 + 1284. Let h = 157\/44 + u. Which is the nearest to h? (a) -0.5 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let f(v) = 1269*v**2 - 1172. What is f(a(y))?\nAnswer: 1269*y**2 - 1172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-3) + 6*1. Let d(h) be the second derivative of h**3 - 3*h**2 - 8*h. What is the tens digit of d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 8*y + 31 = -9, u - 4*y + 26 = 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -137132?\nAnswer: -1\/68566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*w - 26257612 = 18740601. What is w rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 7:02 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178 or -224?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, r: 5}. What is prob of picking 2 t and 1 r?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/22488 and -107\/10.\nAnswer: 112440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -314.011158 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*p + 12*p - 17*p)*(-p - 54*p**3 + 65*p**3 + 4*p).\nAnswer: -418*p**4 - 114*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2. Let b(v) = -16*v**2 - 62. Give g(b(y)).\nAnswer: 1280*y**4 + 9920*y**2 + 19220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/118881 and -25\/1698.\nAnswer: 67286646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-34)*-2)\/((-8 + 6)\/(-76)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 160892 and -1.\nAnswer: -160892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 12:26 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 8 = 13*f - 8*f, -12 = 3*f - 3*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a factor of 18132789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(104) + sqrt(104) + (sqrt(104)*2 - sqrt(104))) + sqrt(104) + ((sqrt(104) + -1*sqrt(104))*4 - sqrt(104)))\/(-3*(sqrt(648) + sqrt(648)*-2)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o**2 + 4*o**2 - 13*o**2)*(5*o - 2*o + o)*(-2 + 2 + 1)*((-2 + 1 + 3)*(4 - 2 + 0) + 0 + 1 + 0 + 2 - 4 + 3).\nAnswer: -528*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 - -27?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.32 (b) -2\/57 (c) -1 (d) -1\/3 (e) -5 (f) 16 (g) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 9 - 29 = 0. Solve z = -k - 5 - 1, -z + n = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**4\/2 + 105*s**3 + 670*s**2 - 4020*s + 4480 = 0.\nAnswer: -32, -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - 450. Let h = t + 521. Let u = 1.96 - -0.04. Which is the second smallest value? (a) u (b) -1\/3 (c) h (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21776.6 and 1.\nAnswer: 21776.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64017692?\nAnswer: 2, 157, 101939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2)*w)**(1\/2)*((w**(-1)\/w)\/w)**(-13\/5))\/((w**(-3)*w*w*(w**(1\/5)*w)\/w*w)\/(w**8\/(w*w**7))) assuming w is positive.\nAnswer: w**(167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827809524 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 - 301*z**2\/2 + 90601*z\/2 - 27270901\/6.\nAnswer: (z - 301)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -15. Let w be (-3)\/(j\/(-66)*-3). Suppose -w - 2 = -3*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 6) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 124, 126, 128, 130, 132?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11184, 1 in decreasing order.\nAnswer: 1, -1, -11184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feefffffef. Give prob of picking 1 f and 2 e.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g*k**3*p - 2*g*k**3 + 1511*k**3*p - 85983*k**2 + k + 2 wrt p?\nAnswer: -g*k**3 + 1511*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 239.4 - 234.4. Which is the nearest to 0? (a) n (b) 10\/7 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7218*f**3 + f**2 - 4*f + 3. Let w be r(1). Suppose -13*m + w = -10462. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.05, 0.7, 4\/7, 78?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -114*k - 1. Let h(p) = 114*p + 2. Determine -2*h(f) - 3*n(f).\nAnswer: 114*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -4 - 1\/6*c**4 - 3*c + 3\/2*c**2 + 0*c**3. Let i(p) be the first derivative of a(p). Differentiate i(u) with respect to u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5532.887 times 1.4\nAnswer: 7746.0418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.45 - 0.45. Sort -2, r, -0.2 in ascending order.\nAnswer: -2, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*o - 2*j, -4*o + 25*j = 28*j + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 203114, 406228, 609342, 812456, 1015570, 1218684?\n\"Answer: 203114*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k - 404 + 356. Solve -4*n + 50*w = 46*w + 8, -k*w + 16 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 89 = -2*j - 85 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = -23*t + 2*b - 20, -b - 5 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, b: 8, a: 1}. What is prob of picking 1 b and 1 a?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-339 - 1367*b + 162 + 175)*(b + 3*b - 2*b).\nAnswer: -2734*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54 + 952?\nAnswer: 8ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 699\/7. Let a = 934\/1155 + -2\/231. Put n, 0.5, a in descending order.\nAnswer: a, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 4*j**2 - 4*j - 5. Let z be a(-4). Is -1 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 23*p - 585. Let g(v) = p*v**2 - 4 - v**3 - 9*v - 15*v**2 - 28*v**2. What is g(-7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 8*o**2 + 5*o - 12. Let x be f(-7). Suppose -3*s + 3 = -x*s. Suppose 0 = -3*r - 4*m + 393, 0*r - 626 = -5*r + s*m. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66421c (base 13) to base 14.\nAnswer: -469919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.47574596 to 1 decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 24 = -8*u. Let j be (u\/(-20))\/((-1)\/(-5)). Solve w = 6*w - v - 19, -2*v = -j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 511 and 272.\nAnswer: 138992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgfgf. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 2, z: 1, p: 2, b: 1, u: 1}. What is prob of sequence mg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-5))\/(2\/10). Suppose 3*g - p = -0*g. Suppose 2*c + 3*o + g = c, -3*c - 5*o = 9. Is -2 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v - 5. Let o be d(2). Let t be (-3 + (-7)\/(-2))*-6 + o. Suppose -3*k - 2*r + 307 = t, 470 = 5*k - 3*r. What are the prime factors of k?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17593320 divided by -1355.\nAnswer: -12984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 53*i**2 - 80*i + 4. Is 17 a factor of a(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/80864 and 53\/69312.\nAnswer: 485184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -32721268648.76 and -0.27.\nAnswer: -32721268649.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13076812, -13076811, -13076810, -13076809, -13076808?\n\"Answer: u - 13076813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) -1.81 (c) -0.05 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 450*c**4 - 133*c wrt c?\nAnswer: 5400*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1803, 3458, 5099, 6720, 8315, 9878, 11403?\nAnswer: 12884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/14)\/(54\/(-5040)). Let r = 252 + y. Is r <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -1168 - 345. Let z = 93 + -64. Calculate the remainder when a is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4\/3 + 21680*q**3 - 211575110*q**2\/3 + 140985040*q - 211445045\/3.\nAnswer: -5*(q - 6503)**2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 252.37 = 0.0411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -3, -954, -8 in ascending order.\nAnswer: -954, -8, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -13*k**2. Let r(x) = -370*x**2 - 2. What is r(q(c))?\nAnswer: -62530*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/5 - 432*p\/5 - 86 = 0. What is p?\nAnswer: -215, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10279 - (0 + (-1 - -5)). Let n = 143881\/14 + m. Calculate the common denominator of -47\/28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqkq when four letters picked without replacement from {f: 2, q: 7, z: 3, k: 7, c: 1}.\nAnswer: 49\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = f + 8304. Calculate the common denominator of (-2)\/12 + f\/(-120) and (-159)\/44 - (-1)\/(-4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*i**2 - 2*i + 17*i**2 + 2*i**4 + 2*i**3 - 26*i**2 as r*i**4 + z*i**2 + l*i + a*i**3 + c and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 10. Suppose -d = -3*x - i, i - 3 - 13 = -4*x. Let a = x + -1. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 14 = -2*k, -2*k = 4*b + 31 - 9. Is k less than or equal to 4\/567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214496 - -5\nAnswer: -214491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*6\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (4 - (-3 - (1 - -4))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r**3 - 5*r**2 + 303*r wrt r?\nAnswer: 24*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h + 43049 = -20399. Calculate the greatest common factor of h and 309.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/759 and -137\/138?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 9, 4, -30\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24672205183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -241\/4, 1735, 5 in decreasing order.\nAnswer: 1735, 5, -241\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*q + 26*q + 3082. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**2 + 76*q - 2285. Determine y(-25).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 32. Suppose 3*h = 2*h + m. Calculate the smallest common multiple of 10 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u + 8. Let y be u + (-3 - (-3 - 1)). Suppose y*r = -v - 12 + 49, -4*v = 4*r - 36. Calculate the lowest common multiple of r and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 1\/6*n**3 + n + 1\/6*n**4 + 0*n**2 + 0. Determine g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*o - 460, -113 = -o + 5*g - 13. Calculate the greatest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 + (-10)\/((-30)\/9) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 279 + -267. What is the highest common divisor of w and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1959 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282613*s**2 + 4 - 4 - 282611*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.97 + -21.67. What is the smallest value in 4, -2\/7, -36\/13, z, 2\/7?\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 - 92*y\/3 + 2240\/3.\nAnswer: -(y - 20)*(y + 112)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 2*d**2 + 3*d + 5. Suppose -10*h - 120 = 9*h - 22*h. Calculate the lowest common multiple of g(-4) and h.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73846539 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -403 + 402.9991. Let t = d - 0.002265. Round t to four decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1525, -1724, -1965, -2272, -2669?\nAnswer: -3180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w = 3*r - 20, w - 24 = 4*r. Let k(b) = -3*b + 20. Let j be k(w). Let y = 37 + j. What is the greatest common divisor of y and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 2*f**2 - 3*f + 5. Suppose 0 = -2*n + 4*v - 12, v - 14 = 5*n - 2. Let u(y) = -y**2 - y + 1. Calculate n*u(c) + z(c).\nAnswer: c**3 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.69762ml to litres.\nAnswer: 0.06769762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124062, 124691, 125320?\nAnswer: 125949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/((-936)\/16)*255\/(-10)*1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39957271.\nAnswer: 443, 90197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 368466\/11 + -317250733\/9471. Let a = t - -2\/123. Let d = -2.3 + 2. Put 1, 4, a, d in ascending order.\nAnswer: d, a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -263 - -267. Which is the third biggest value? (a) 7\/4 (b) -6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5269*o - 8428 - 3772 = 5574*o for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 4*b. Let k(l) = -l - 7*l - 1 + 4*l. Calculate the smallest common multiple of k(-1) and i(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 39. Let j = 25 + v. Calculate the lowest common multiple of j and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 12) to base 5\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - k + 2)*(-2*k**3 - k**3 + 0*k**3) + 0*k**4 + 5*k**4 - 4*k**4 + (-2*k**3 - k**3 + k**3)*(0*k + 0*k + k).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -219619691 take away 960691?\nAnswer: -220580382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -129*u - 419, 14*o - 31 = 19*o - 7*o + 5*u for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 53881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 75*u**2 - 154*u**2 + 78*u**2. Let a(b) be the third derivative of -11*b**5\/15 - b**2. What is a(l(s))?\nAnswer: -44*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 6:27 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.9 + -7.002. Let g = a - -4.102. What is the fourth smallest value in g, 1, 2\/5, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2 + 23*w - 2 + 15*w**2 - 14*w**2 - 1. Let j be t(-23). Let l = 17 + -8. Which is the third biggest value? (a) 4\/3 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*0*(-2)\/(-4). Let k(h) = -2*h**3 + 26*h**2 - 43*h - 4. Let y be k(2). Which is greater: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 30*s + 196. Is y(-31) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + 6. Let u(w) = 3 + 0 - 2 + 37*w - f*w. Give u(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 5. Suppose 110 = 6*s + 5*s. What is i(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 2, b: 1, k: 1, w: 10}. Give prob of sequence wwuu.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 7. Suppose 3*i = -4*p - 65, -3 - v = 2*p. Let d be (3\/(-120))\/((-6)\/i). Is -1 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(34) - sqrt(34))\/sqrt(2)*1 - (sqrt(17) + 0 + -1 - 6*(sqrt(68)\/sqrt(4) - sqrt(17)))**2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6781845209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528528 divided by -12?\nAnswer: -44044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Let i be 7\/(126\/(-96)) + 7 + -1. Which is the nearest to i? (a) k (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1142630*m**2*x - 677*m**2 - 167*m + 3 wrt x?\nAnswer: 1142630*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*h - 5*p, -5*p + 99 - 9 = 5*h. Suppose 0 = 9*f - 11*f + h. Suppose 4*n - 14 = -g + 2*n, -4*n - f = -4*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4 + 2*i - 6 + (-3 - 1 + 5)*(5*i - 3*i - i) + 33 + 17*i - 33.\nAnswer: 20*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 - 79*n**2 + 177*n + 248. Give k(37).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**3\/6 + 7*j**2 - 2*j. Let d be x(11). List the prime factors of 5971\/42 - d\/18.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-6)*(-3)\/(-2). What is q in 0*q**2 + 4*q - 3*q**2 + 0*q**f - 27 - 22*q = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s + 5 - 3*s + 4. Let l be d(-4). Sort -2, -5, l in decreasing order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnkkdhnnnnkddd. What is prob of sequence nkdn?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-137 - -115) + 3 + 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n - 3. Let x(l) = 16*l - 4. Let a(h) = -6*w(h) + 5*x(h). Let y be a(-7). Suppose 0 = -6*j + 2*j + y. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - g - 4)*(3*g + 3*g - 5*g) + 44*g**2 - 24*g**2 - 30*g**2)*((2 - 4 + 1)*(8 + 4 - 7) + 8 + 3 + 4).\nAnswer: -110*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65, -147, -255, -401, -597, -855?\n\"Answer: -2*r**3 - r**2 - 65*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16080*q**3 + 461*q**2 - 21930169 wrt q.\nAnswer: -48240*q**2 + 922*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 3:45 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*4\/(-16)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngtw when four letters picked without replacement from {w: 1, g: 3, t: 2, n: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(4\/5)*g**4)**(-46) assuming g is positive.\nAnswer: g**(-1334\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -536*t**2 - 2. Let d(p) = 249242*p**2 + 931. What is -2*d(b) - 931*y(b)?\nAnswer: 532*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -2 (c) -3 (d) 0.4 (e) 5 (f) 52724\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 + 66\/9. Let z(y) = -y**2 + 8*y + 5. Let q be z(a). Suppose -11 - 9 = -q*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, d: 9}. Give prob of picking 4 o.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-4) + -7 + (-2)\/(-8). Suppose i = 30*a - 33*a + 330. Let z = -29 + 51. What is the greatest common factor of a and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 4 - (-16 + 8)) + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164095560 to the nearest integer?\nAnswer: 12810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:31 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2 - 2 + 283526*r - 283525*r. Let m(s) = -3*s - 19. Determine m(h(j)).\nAnswer: -3*j - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23498231*d**3 - 3*d**2 - 178330161?\nAnswer: 70494693*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 1:41 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.993015603 - -0.276\nAnswer: -0.717015603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2269215 and 84045?\nAnswer: 2269215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68612.96 - -67347. Let z = 1241 + l. What is z rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53199970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = 10*j - 54. Solve h - 16 = j*t, -6*t - 24 = -5*t - 5*h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001256743 to 6 dps.\nAnswer: 0.001257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = 3*o, -5*f = 2*o - 0*o - 25. Let i(v) = 1 - f*v - 2*v + 4*v. Is i(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*s - 3*h, 0*s - s - 14 = -4*h. Let b(q) = 276*q - 1. Is b(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13369*g**2*i**4 + 3*g**2*i**2 + 686*g*i**2 + 14 wrt i?\nAnswer: -320856*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 5*w + 10, -29 + 13 = 4*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 132?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27772, 55549, 83326, 111103, 138880, 166657?\n\"Answer: 27777*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4215*h - 6 = 4216*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -532 + 659. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*c**2 - 10*c**5 + 69*c**2 - 14*c**2 wrt c?\nAnswer: -600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -3. Suppose -c - o = -6. Suppose z = -q + c, 0*z - z = -4*q - 17. Solve -4*f + z*n = -19, 2*f + 12 = -4*n + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = g + 3*g. Let j be (-8)\/g + 3 + 1. Let c be (6\/(-5))\/(j\/(-5)). Solve 0 = -x - 4*i - 15, -c*x + 3 = -0*x - 4*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnx when three letters picked without replacement from xnnxnx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 843*o**4 - 169*o**2 wrt o?\nAnswer: 20232*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*t - 1856 - 1525 - 4059 = 7724 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4751 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 21*u + 4. Let r(q) = -22*q - 5. Give 5*o(a) + 4*r(a).\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 - 3*p**3 + 2*p**3 + 16*p**3 with respect to p.\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 - -95. Sort 2, k, 0.05.\nAnswer: 0.05, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(192)*1 - (sqrt(192) + sqrt(192) + 0 + -1 + sqrt(192) - sqrt(192)*2*-6))**2.\nAnswer: -144*sqrt(3) + 15553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*q**3 + 51*q**3 + 59*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30964254 a multiple of 2039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*z, -s + 1 + 2 = -3*z. Let p = 8 - s. Which is the closest to 0? (a) 0 (b) -1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -776 + 803 + -5 + -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16098 - 29455 = -5*x + 25458. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**5\/2 + 1416*v**4 - 148365*v**3 + 5159700*v**2 + 3472875*v\/2.\nAnswer: -3*v*(v - 105)**3*(3*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 9. Suppose -7 = -t + 2*d, 4*d + 0 = -k*t + 1. Solve -t*o + 40 = -5*f, o + 4*f = -0*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.651527 micrograms?\nAnswer: 0.000000000008651527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, b: 1, q: 5, d: 4, l: 1, a: 4}. Give prob of picking 2 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - b**4 + 2*b + 0*b + 2*b**4 + 0*b + (-b**2 - b**3 + b**2)*(4 - 4 - 2*b).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3830 = -474*c + 7453 - 16880 - 34617 for c.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -0.008, -2\/15, -4?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/9 + 15*f**3 - 4045*f**2\/9 - 495*f + 8366\/9 = 0. Calculate f.\nAnswer: -2, 1, 47, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1120 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**6\/3 + 8*a**3 + 4*a - 3. What is the second derivative of i(s) wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399026501.\nAnswer: 3, 155447389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133662 is divided by 2028.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, h: 2}. What is prob of picking 1 a and 1 h?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-40) + 12\/32?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((2 - (-6 - -4))\/4). Let i(m) = m**3 - 3*m**2 - 4*m - 4. Determine i(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 395 + -76. Suppose -517*m + 513*m = 5036. Let v = m + z. Round v to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, b: 3}. What is prob of sequence bii?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 17*k + 3*k)*(k + 0 - 3*k + 2)*(3 - 1 - 4) + (3*k**2 - k**2 - k**2)*(1 + 0 + 0) - 3*k**2 - 3*k + 3*k + k**2 - k + k.\nAnswer: 83*k**2 - 84*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12909.\nAnswer: 3, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/23 + (-4816)\/(-161) + -25. Solve -8*q + f*q = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096495 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence totz when four letters picked without replacement from onzozto?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/9*(20\/(-8) + -2). Suppose u*i = -5*h, i + 2*h + 3*h = 0. Let w be ((-10)\/15)\/(i + (-6)\/9). Solve -3 = -y - w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 35*q**3 - q**2 + 3*q**2 + (-2*q**2 + 0*q**2 + 0*q**2)*(-3*q + 4*q + 0*q) in the form u*q**2 + z*q + b + p*q**3 and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29521, -28986, -27539, -24724, -20085?\n\"Answer: 76*u**3 + 3*u - 29600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5102.\nAnswer: 2, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-2\/39)*i)\/i*(i\/(i*i**20))\/i)\/(i**(2\/3)\/(i*i\/(i\/(i*i**12\/i)))) assuming i is positive.\nAnswer: i**(-262\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f)\/f**(1\/3))\/((f*f**2)\/f**(-6)) assuming f is positive.\nAnswer: f**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3509908 to the power of 1\/2, to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 41*h + 28. Let x(d) = -d + 3. Let l(i) = 5*x(i) - z(i). What is the derivative of l(s) wrt s?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.6 - 4. Let f = 1.1 - n. What is the third smallest value in f, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -17*d - 106. Let m(b) = 6*b + 35. Calculate -11*m(u) - 4*n(u).\nAnswer: 2*u + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 2*s + 38 = 0, 0*k - 2*s = 7*k + 54 - 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 1256?\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 33*r - 102 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 - 2)*(6*d - d - 3*d)*(5 - 5 + 4) to x*d + j and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 49 = 7*g - 11*g, -4*g - 5*c = -53. Suppose -16*n - 60 = -g. Let i(m) = -m + 7. What is i(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 8*y**2 - 5*y + 4*y**2 - 1 + 4. Let t be r(5). Is t > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 1, -3, -1, 85?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*o**2 + 3666*o - 360764 wrt o.\nAnswer: -64*o + 3666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 2794947?\nAnswer: 32\/2794947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 0*r - 1\/10*r**4 - 1\/75*r**5 + 0*r**3 + 5*r**2 + 0. Let c(d) = 0. Calculate d.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-72)\/(-16))\/(2\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -316.2 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) -0.4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/1615930?\nAnswer: -1\/1615930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14512253 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8272 and 961.\nAnswer: -794.9392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -56?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0944 + 0.9056. Let t = -0.1 + 0.24. Let c = 0.36 + t. Sort c, d, 1\/3, -1\/4 in decreasing order.\nAnswer: d, c, 1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/7 + 22626*c\/7 = 0. Calculate c.\nAnswer: -11313, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 310*d + 11709. Calculate x(-35).\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.4032 - -15.3. Let x = 0.4 - 0.3. Let f = a + x. Round f to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3592, 3594, 3596, 3598?\nAnswer: 3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262 divided by 78.\nAnswer: -131\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -15 + 22 + -5 + -26?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/1)\/(12*9\/(-18))*(-18)\/(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.048 (c) 0 (d) -0.2 (e) -8 (f) 10\/7 (g) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38 - a46?\nAnswer: -a0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -245523735073 - -2.7?\nAnswer: -245523735070.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44.2 + 5.2. Let t = -4801 - -4761.78. Let q = h - t. Round q to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31327*d - 35946*d - 4330*d.\nAnswer: -71603*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1806 divided by 903.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133994.\nAnswer: 2, 3, 188999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2231626519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - 123. Suppose -s - 5 = j, 4*g + 3*s - 6*s = 4475. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -22, -16, -8, 2, 14, 28?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3 - 584*x**3 + 590*x**3 + 2 - 5*x**2 + 6*x. Let s = 2 + -1. Let q(r) = -r**3 + r**2 - r. Give s*o(w) + 5*q(w).\nAnswer: w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, e: 4, s: 1, a: 3}. What is prob of sequence ke?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 2*w - 1. Let p be k(-2). Suppose 60 = p*o + o. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4653*g + 18573*g - 4619*g - 4653*g - 4642*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 103409.3 to the nearest one thousand.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005630 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a2 + -c7?\nAnswer: 3ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 215 + 222 + 310 - 747.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.015 and -390860.\nAnswer: -390860.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -8*l + 2. Let h be (3 - 3 - 1) + l. Suppose t - 38 + 3 = h. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182376 divided by -894?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370703662 to the power of 1\/2, to the nearest integer?\nAnswer: 37023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -3. Let u(r) = -r**2 - 8*r - 2. Calculate the least common multiple of u(h) and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*p*u - 22*b**3*p + b**3*u - 53*b**2*p - 14*b*p*u - 2*p wrt b?\nAnswer: -6*p*u - 132*p + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/4*40\/50. What is the first derivative of -8*c + 14 - 11*c + u*c - 8*c wrt c?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/3220)\/(-1)*98\/168*12?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -954, -1900, -2822, -3702, -4522?\n\"Answer: 3*n**3 - 6*n**2 - 949*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 - 120732*f**2 + 1086952*f + 1207680 = 0. What is f?\nAnswer: -30192, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.079052 weeks?\nAnswer: 1021.280736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13832 + 13832.00009965. Round g to 6 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-931)\/38*(-3 + 1). Calculate the greatest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -31*r**2 + 39*r. Let u(s) = 14*s**2 - 18*s. Let l(q) = 13*u(q) + 6*z(q). Let n(g) be the second derivative of 10*g**3\/3 + g. Determine l(n(o)).\nAnswer: -1600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 858250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-26.1.\nAnswer: -313.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 208?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/8*(-33)\/77.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.27 + 0.03. Let v = 19\/30 - 4\/5. What is the nearest to 1\/2 in v, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 55*r + 40. Let k be z(19). Suppose 2*s + c - 2619 + 933 = 0, 0 = -5*s + k*c + 4197. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1438 + 1429. Sort 1, -1, c, 5, -2 in increasing order.\nAnswer: c, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 = b - 4*g + g, 2*g = -b + 458. Let r = -261 + b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 127 (b) 4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 37 = 5*d, -41*d + 11 = -2*m + 17 - 39 - 40 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13403.\nAnswer: 13, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**5\/30 - 4*n**2. Let v(o) = -8*o. Determine j(v(u)).\nAnswer: -128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3*c = -15, -3*h + 4*c = -6*h - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:06 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 103560 divided by 35\nAnswer: 20712\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6688*u - 128920 = 6910*u - 1878*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -298 and 3045.9.\nAnswer: -907678.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377)*2*-6 - (1*sqrt(1377) + sqrt(1377) + 1)) + -3*(2 + sqrt(1377) - sqrt(1377)) + (sqrt(1377) + 1)*-6)*1)**2.\nAnswer: 4680*sqrt(17) + 550969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 797.\nAnswer: -4, -1, 797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*n - 67*n + 13*n.\nAnswer: -116*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 20 = k - 277, -2*k = -5*m + 306. Calculate the smallest common multiple of m and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 0.068 (c) -398 (d) 2\/3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794713 + 794713 + 8512*r.\nAnswer: 8512*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 1 + 1 + -1. What is d in 7*d**2 + 0*d**3 - 10*d - 2*d**3 + 7*d**2 + 4 - g*d**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2646001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 5*q - 3*z, z = 4*q + q - 110. Calculate the remainder when 85\/2 + (-2)\/4 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 6*m**2 - 7*m + 2. What is o(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -419*j**2 - 1. Let b(u) = 171759*u. Calculate l(b(k)).\nAnswer: -12360983559939*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2. Let v(s) = 10*s. Let z(c) = -c. Let j(b) = -v(b) - 3*z(b). Determine j(y(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*v = -20, -5*g + 3*v - 75 + 33 = 0. Is 18 a factor of 189\/(-14)*8\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214025.966707 - -3.7.\nAnswer: 214029.666707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (2 + 8)) + 5 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 227, 612, 1273, 2216, 3447, 4972?\n\"Answer: g**3 + 132*g**2 - 18*g + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28 * -2\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 11*b**2 + 545*b - 4789. Calculate j(9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47879928037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 42e39 (base 15) to base 3\nAnswer: 101210102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -0.5, -44, 22\/7, 5\/2, 1\/4 in increasing order.\nAnswer: -44, -38, -0.5, 1\/4, 5\/2, 22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -12*f - 98. Let o be h(-10). What is the first derivative of 7 - y**3 - 6*y**2 + 8 - o + 2*y**2 - 3*y**3 wrt y?\nAnswer: -12*y**2 - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 - 71. Let k be -25 + y + 0 + 0. What is the lowest common multiple of 15\/k - (-6)\/(-21) - -9 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 133 + 1467b?\nAnswer: 147b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -243 - -100. Let p(n) = -4*n**2 + 90*n + 1. Let h be p(24). Do y and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128 - 21)\/1070 - (-182)\/(-620)?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*o - 5491 + 1459 = 0 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12621703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3139 is divided by 41?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 737577 > 738331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 21201929.\nAnswer: -21201929.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2368420*y**2 - 1370294*y wrt y?\nAnswer: 4736840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331*l - 5433 = -534*l + 1672. What is the remainder when 275 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 23564?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 o when four letters picked without replacement from rcmcmyocomcrmrmc.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 1 = 5*d, -3*n = -n + 2*d - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-60)*-9)\/(6\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bffbbfffbfbfb. What is prob of sequence ffbf?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + 8*c - 10. Let u be v(6). Suppose -4*g + u = -y, y = -4*g + 122 + 20. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*k = 304 + 254 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + 3*w**2 - 3*w**2 - w**2 + 3*w**2 + 0*w**2 + (4*w + 0*w - 2*w)*(-3*w + 4*w + w) + 5 - 6 + w + w**2 - 11.\nAnswer: 8*w**2 + w - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107479100 by -1445.\nAnswer: -74380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 5*r**2 - r + 3. Suppose x = 6*t - 2*t - 22, 0 = t + x - 3. Let f be p(t). Let y be 1\/1*(f - -8). Solve -u = u - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/7 + 314*c**3 + 634785*c**2\/7 + 42337332*c\/7 - 169939188 = 0.\nAnswer: -1871, -174, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-924)\/(-1001)*(-12)\/36.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -10*w + 11*w. Let a be (-9)\/6 + 42\/w. What is the third derivative of 10*u**2 + 3*u**3 - u**2 - 2*u**a wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788080 is divided by 149?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*a - 216 = -47, 0 = -5*t - 2*a - 394. Let n = 84 + t. Solve n*l + 16 + 15 = 5*s, 0 = 3*s + l - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - (1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 51 + 11 = 2*m, 18 = 6*m. What is the remainder when l is divided by (-3)\/(-5) + 276\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(20)\/sqrt(4)*6)**2 - sqrt(30)\/(sqrt(12)\/sqrt(2))).\nAnswer: -1080 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8254*i**3 + 15276*i**2 wrt i?\nAnswer: -49524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*x - 12, 4*x - 26 = 3*x - 5*t. Let w(q) = 4*q**3 - q**2 + 2*q - 1. Let c be w(x). Suppose -c*r = r. Put -2, 4, r in decreasing order.\nAnswer: 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980*l = 15824 + 16516 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14152604 is divided by 3538149?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117\/7 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8742 (base 9) to base 5.\nAnswer: 201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/6*(-1410)\/658. Let v(z) be the first derivative of -1\/8*z**2 - 7 + 1\/16*z**4 + 0*z + 1\/12*z**3 - 1\/20*z**k. Suppose v(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 171961332 take away -607.185?\nAnswer: 171961939.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 12*q**2 - 9*q + 14. Let v be g(2). Sort v, 0.1, -1\/2 in increasing order.\nAnswer: -1\/2, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 36, 23, 0, -33?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - j**2 - 5*j**2 + (-j + j + 2*j)*(2*j - 6*j + 2*j).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 42, 4, 5, -0.5, -2, 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) 84 (b) -0.9 (c) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*h = 8, 4*n + 4*n = 4*h + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/8)*u**(2\/17)*(u*u**(-1)\/u*u)**(-27\/2)*(u*(u*u**6)\/u)\/(u*u**(-1\/3))*u**(-4)*u*u*u**(-6)*u assuming u is positive.\nAnswer: u**(-173\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (720\/32)\/15 + (-10)\/(-4). Let h(g) = -g - 4. Let y be h(-6). Suppose 2*q - 184 = -2*k, -z*k = -3*q - y*k + 256. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 868569*h**4 + 2*h**3 + h**2 - 1451597*h wrt h?\nAnswer: 10422828*h**2 + 12*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -21. Let n = u + -3. What is the nearest to -0.4 in -5, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33.13309 litres?\nAnswer: 33133.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 - 129.99994. Round l to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4086018 is divided by 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/25 (b) 32 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5160 - -13075. Suppose 2238 = -7*f + g. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 2. Let f be 4 + 2 + (-64 - -72). What is the highest common factor of q and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 - 137359741*f - 91573162 = 0. What is f?\nAnswer: -2\/3, 45786581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 1)\/(15\/40). Suppose -2*a - i = -52. Calculate the remainder when a is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 14*b + 77. Let i(y) be the first derivative of -y**4\/4 - 8*y**3\/3 - y**2 - 8*y - 3. Calculate i(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-18)\/(-15) - 1). Let f(u) = -u - 3. Let n be f(z). Let -3*p**4 - 2*p**5 + 2*p**3 + 5*p**4 - n*p**2 + 0*p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**3\/6 - 6*t. Let g(k) = 6*k**2. Give h(g(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 26*n**2. Let c(u) be the third derivative of u**5\/30 + 6*u**2. Give c(t(y)).\nAnswer: 1352*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*g - 5*n + 2, -g + 4*n = 6. Suppose y - g*s - 11 = 0, y = -0*y - 4*s - 13. Solve 5*q + 13 - y = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/9 - (-207 - -5). What is the greatest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((329\/94)\/((-14)\/8))\/((-1)\/(-10)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 35 - 35)*(-o + 2*o + 0*o + (-3 + 3*o + 3)*(-3 - 1 + 3)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/40 - 523*b**4\/4 + 3849*b**2 + b. Solve v(l) = 0 for l.\nAnswer: 0, 2092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*m + 5*m + 24 + 26 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, -5, 3\/5, -346, 72?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9401*l**2 + 23*l + 464?\nAnswer: 18802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-34 + 21 - -19)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**2 - 152*c**2 + 15*c**2 - 90*c**2.\nAnswer: -210*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1688\/17 or -52?\nAnswer: 1688\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -119*p**2 - 981*p - 981. Give u(-1).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 10*i + 26. Let p be a(6). Suppose -2*j + 5*t + 29 = 0, 28 = -p*j + 6*j - 4*t. Factor 4\/5*m - 2\/5*m**j + 0.\nAnswer: -2*m*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -443, 9, -5, -4 in ascending order.\nAnswer: -443, -7, -5, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/81 in -4.8, 0.1, -5, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1157959011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1391 divided by -45725.\nAnswer: 1391\/45725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10091014.78 rounded to the nearest 100?\nAnswer: 10091000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b**2 - 13*b**2 - 3*b**2 + 47*b**2 - 3*b - 12 + 17*b**2. What is r(-2)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 115. Let q be 2\/v*(-558)\/6. Solve 10 = -5*d + 4*a, -3*a + q - 6 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = -4*c, -4*c + 676 - 686 = 2*d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h - 1. Let b be ((-2)\/(-4) + -1)\/1. What is the nearest to b in 1\/4, h, 5\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 17, 20, 19?\n\"Answer: -2*x**2 + 13*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - a**2 + a - 1. Let h(b) be the third derivative of -5\/6*b**3 + 5\/24*b**4 - 9*b**2 + 1\/40*b**6 + 0*b - 1\/12*b**5 + 0. What is h(o) - 5*i(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 347929771 plus 0.5?\nAnswer: 347929771.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5513*b = 5512*b + 3. Solve 9 = -b*t, 6*t = l + 7*t + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25203 + -3?\nAnswer: -25206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**2*g**2*s + b**2*g*s - 13*b**2*g + 13*b**2*s**2 + 2*b*g**2*s**2 + 2*b*g + 55*b*s**2 + g wrt s?\nAnswer: 26*b**2 + 4*b*g**2 + 110*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:05 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363960 = -694*m + 670*m. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l - 4*n - 2, -3*l = -3*n - 51. Let v = l - 11. Suppose v*q = 4*q - 8. Solve -q*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let a(b) be the first derivative of 30 + 15\/2*b**2 + 0*b. Calculate a(i(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 502531, 502423, 502253, 501991, 501607, 501071, 500353, 499423?\n\"Answer: -5*j**3 - j**2 - 70*j + 502607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -8. Suppose -3*g - g = -24. Calculate the remainder when g is divided by y + 2 + (-3)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0359 rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 463*m + 46 - 89 + 43 to the form d*m + t and give d.\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0 + 71\/6*p**3 + 1\/24*p**4 + 12*p + 3*p**2 + 107\/60*p**5. Find the second derivative of b(r) wrt r.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2121?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30 + -19 - (-8 + -43). What is the biggest value in 39, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0 (c) -1 (d) 3\/7 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.07, -4, -2\/5, -2681, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) -3 (c) -5 (d) 19\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -361.85 from -507.\nAnswer: -145.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:52 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -163, -161, -159?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3516909 is divided by 617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 296 times 10.07\nAnswer: 2980.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 69?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 14*y**2 + 10*y + 1. Let r be g(7). Suppose 0 = -66*b + 57*b + r. Calculate the remainder when b is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 430 - 178. Calculate the greatest common divisor of p and 672.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 585259061, 585259066, 585259073, 585259082, 585259093, 585259106?\n\"Answer: z**2 + 2*z + 585259058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 2*i + 6. Let p be l(-5). Let b be 36\/(-24)*2*-1. Let j be 1\/(b*(-1)\/p). What is the highest common divisor of j and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 63384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 143 - 3553?\nAnswer: -3410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5 + 308*x**4 + 8604*x**3 - 43048*x**2 - 110686*x - 59340 = 0.\nAnswer: -115, -43, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42170751 or -42170754?\nAnswer: -42170751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*q**3 + 1157*q**3 + 1476*q**3.\nAnswer: 2561*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 374818882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 + 383 - (4 + -1 + -7 + 16 + 0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 64 = -10. Suppose 0*d - d + 2*w = k, d + 4*w - 21 = 0. Solve -x + 0 = q - d, q - 3 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*t + 1163 - 288 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 158, 143, 120, 89, 50?\n\"Answer: -4*p**2 - 3*p + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 4*f**2 + 0*f**2)*(-10704*f**2 + 29699*f**2 + 7151*f**2 + 27599*f**2 + 14070*f**2 + 13514*f**2).\nAnswer: -81329*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-2)*r)*r)\/r)**16\/(r*r*r\/r**(-3)*r\/(r*r**(-1\/11))) assuming r is positive.\nAnswer: r**(285\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15240*c + 5*r + 6 = -15251*c + 111, -4*c - 3*r + 37 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 4*u + 51 + 27*u.\nAnswer: 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1. Let o(t) = -43*t - 11. Let v(a) = -o(a) + 4*w(a). Let r be v(6). Let i = r - 178. What are the prime factors of i?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/356 and 125\/12?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 7*k - 1. Let q be z(3). Suppose -2*t + q*s + 27 = 0, 4*s + 5 = -t - 1. What is the highest common divisor of 30 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3310\/15)\/(2\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 22 - (1 + 2) - 5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.7361556438 - -0.2638473762. Let f = -29 + k. What is f rounded to 7 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -99. What is the nearest to 2\/5 in -1.3, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/39)\/(1\/(-3)) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135011841 and 867?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 163*l**4 - 2 - l**2 - 84*l**4 - 73*l**4 - 54*l in the form o*l + k*l**3 + w*l**2 + c + u*l**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101101010010001011111101?\nAnswer: 101101010010001011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6087 and 951601?\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 35*l**2 + 14*l**2 + 16 + 19*l**2 to j*l + h + q*l**2 and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.55 - -3.55. What is the second biggest value in h, -2\/9, -7, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 60831 and 60826 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -0*j. Suppose -11 = -d - j. What is the units digit of (-1)\/(-2)*(d + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 + 71 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 82*t**2 + 960*t + 537. What is s(-10)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + 38\/(-6). Let m = 6 - w. Solve -j - 2*j - m = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/31810 and 55\/505779.\nAnswer: 5057790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(36\/96).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-5) - (-1036539)\/315. What are the prime factors of (f\/(-6))\/(14\/105*-5)?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 675, 629, 543, 411, 227, -15, -321, -697?\n\"Answer: -g**3 - 14*g**2 + 3*g + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400529 is divided by 3954.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/20)\/((-4)\/(-430)). Let k = 149 - d. Suppose 0*l + l = x + k, -4*l = 5*x - 279. Is l a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -r + 5*f, 4*r - r + 10 = 2*f. Let l(v) = -v + 4. Let g(x) = 16*x - 4 + 2*x - 9*x - 8*x. Let u(d) = -2*g(d) - 3*l(d). What is u(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 388\/18445 or 0?\nAnswer: 388\/18445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + b7c0?\nAnswer: b7c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298244 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 816401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 38361*q - 38364*q - 92, -2*h + 7*q = 45 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 3*q**2 - 3*q - 8. Is m(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10 = -2*h - 2, 2*w = 4*h - 16. Solve 4*i + 8 = -5*x - 0*x, -x + h*i = -8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 249.43287683 + 4.56709617. Let h = 254 - b. What is h rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 48, 120, 220?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0*q**2 + 1\/48*q**4 - 5\/6*q**3 - 1\/120*q**5 + 1\/720*q**6 - 13*q + 0. Let x(i) be the second derivative of u(i). Factor x(p).\nAnswer: (p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12581383 and 13489?\nAnswer: 1927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151613\/3 - -13645283\/270. Let u = -1\/54 + y. Let w be (1 + -5)*4\/(-80). Which is the nearest to u? (a) -2\/9 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 12. Let m be q(6). Suppose 2*v + 784 - 3718 = -4*s, m = -3*s + v + 2208. Let i = s + -16735. What is i rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Suppose -3*d + 8082 = -12*d. Let u = d - -900. Solve -u*b + w*q + 11 = 0, 4*q = 5*b - 13 + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:40 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 + 101. Let v be (-1)\/(-2) + (-292)\/600. Let n = v + 71\/300. What is the nearest to -1 in n, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28669, 114487, 257519, 457765?\nAnswer: 715225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a day in hours?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:31 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 215 + -219. Which is the nearest to -2? (a) w (b) -7 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11601103, -11601109, -11601119, -11601133, -11601151?\n\"Answer: -2*l**2 - 11601101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251138?\nAnswer: 2, 3, 7, 29789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - w + 19 = 0, -25 = -f + 2*w - 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 163142.6 days in seconds?\nAnswer: 14095520640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17655 - -17655.10271. Let k = f + -0.0598. What is k rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 - -195. Let a = 78 - -5. Calculate the remainder when a is divided by 12\/w + -1 + 18 + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 - -11011111011?\nAnswer: 11100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**28*n**(-28))**12 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 54. Let c(m) = 6*m**3 - 12*m**2 - 3*m. Let j(r) = 5*r**3 - 11*r**2 - 2*r. Let q(a) = z*c(a) - 3*j(a). What is y in q(y) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4553403 - 3?\nAnswer: -4553410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35963071*v**4 + 45983654*v wrt v.\nAnswer: -431556852*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 58*s - 2. Let u be n(4). Suppose -22*z = -20*z - u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or 561.6?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1909*w - 52527 = 98284 for w.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 7 - -19 - 23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 4*i**5 + 3*i**4 + 835*i - 197. Find the first derivative of a(l) wrt l.\nAnswer: 80*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 297709720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 30980132530021?\nAnswer: 30980132530021.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, q: 3, g: 2, b: 2, d: 5}. Give prob of picking 2 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156609 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -5 (b) -7 (c) -33\/19 (d) 1 (e) 0 (f) 0.05 (g) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -31, -5, 1 in ascending order.\nAnswer: -31, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + l. Let h(j) = -122*j**2 - 5*j - 20. Suppose -11*p - 30 = -5*p. Let r(t) = p*k(t) - h(t). What is the derivative of r(s) wrt s?\nAnswer: 234*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 88 = 2*o, 5*o + d = 5*d - 221. Let l be ((-6)\/(-2) - 0) + o. Let p = 69 + l. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413990463 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 716.8423 milligrams in nanograms?\nAnswer: 716842300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 - 9899*w**2\/2 - 9901*w.\nAnswer: w*(w - 9901)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*y - 8 = -2*i, -5*y = 4*i - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*2*(-2 - -1). Suppose 3*r - 14 = 4. What is the greatest common factor of r and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/4 + 5*x**3\/3 + x**2 + 3*x - 15. Suppose -2*s = 3*s. Let q be 0 + -2 + s + -3. Give b(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16233 and 402927?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11429708 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w - 7. Let l be 8\/(-12) - (-25)\/(-3). Is j(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -99 + 21. Suppose -2*s + 311 = 5*x, 2*x + 240 - 62 = s. Let d = q + s. What are the prime factors of d?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 112099317?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 4*c + 7*c**3 - 2*c**3 + c**3 - c**3 + c**3 + (c**2 - 2*c**2 + 0*c**2)*(0 + 0 + 2*c).\nAnswer: 4*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8382701.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2757*h**3 + 12*h**2 + 2*h + 560295 wrt h?\nAnswer: -8271*h**2 + 24*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -13*v**5\/60 + v**4\/6 + 120*v**2. Let d(c) = 299*c**2 - 91*c. Give 4*d(x) + 91*q(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o - 3. Suppose -2*n = -2*s - 16, -n + 8 = -5*s - 20. Give w(n).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -137509, -137508, -137507, -137506, -137505, -137504?\n\"Answer: m - 137510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81551100487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6171\/34)\/(-33))\/((-1)\/(-2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 462*y**3 + 169 wrt y.\nAnswer: 1386*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -11 + (-16 - (0 - 6) - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (24\/(-21))\/(3\/(-105))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:06 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/10)\/((-10)\/(-50)). Let j(b) = -4*b**3 + 3*b**2 - 6*b + 12. Let c(k) = 3*k**3 - 2*k**2 + 4*k - 8. Let v(q) = 7*c(q) + 5*j(q). What is v(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72674*z + 60405.\nAnswer: 72674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/24 + 1\/4. Let f = -0.005 + -0.305. Let r = 2.69 - f. What is the third smallest value in -2\/17, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -60*s**2 - 76*s**2 - 74*s**2 + 207*s**2. Let y(v) = 39*v**2 - 34*v**2 + 56*v**2. Calculate y(x(q)).\nAnswer: 549*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -492222 + 492237.12045. Let h = 28.12131 - o. Let z = -13 + h. Round z to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**4*c**3 - 60*a**2*c**3 - a*c**3 - 4*a*c - 33*a wrt a?\nAnswer: -48*a**2*c**3 - 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1425 and 100?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -4, -2, 115 in ascending order.\nAnswer: -4, -3, -2, 3, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26878*r + 3 = -3*k - 26874*r + 4, -7 = 2*k + 5*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1 = v, 3*a - 3*v + 19 = 5*a. Suppose -10 = -a*p + 8. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1559\/4 + 121583\/312. Calculate the common denominator of 55\/8 and j.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Let p(i) = 3*i - k*i**2 - 3*i. Let j(z) be the second derivative of -3*z**4 - 8056*z. What is j(p(c))?\nAnswer: -144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96.2 - 117. Let t = x + 21. Let u = -0.3 + t. Is u smaller than 0.32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 116, -4, -14 in increasing order.\nAnswer: -14, -4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.155*-1\nAnswer: -0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -4 (c) 15 (d) 1778\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 322079044 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136 in 1\/30, 5, 0.5, 4, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-4) + -1 + -1. Find the second derivative of 2*k**4 - 2*k**5 + 4*k + k**4 - r*k**4 wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8102543?\nAnswer: 41, 83, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 622870, -10 in increasing order.\nAnswer: -10, 1, 622870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from xwnfg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 995864*u - 995868.\nAnswer: 4*(u - 248967)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s + 8. Let h(c) = c**3 + 6*c**2 - 6*c - 6. Let z(n) = n**2 - 6*n - 7. Let k be z(6). Let l be h(k). Let p(v) = 15*v - 17. Give l*u(y) - 6*p(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -154. Which is the third smallest value? (a) -1\/16 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20519108 and 20.\nAnswer: 102595540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 231. Suppose 4*n = 2*b - 290, n + u = -0*b - b. Is n\/(-3)*45\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 281513 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 381 (b) 0.4 (c) 0.3 (d) -569\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-60))\/((-24)\/(-28)*(-476)\/(-408))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 44*g**2 + 2481*g - 108318. Give h(51).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**4 + 832312*h**3 + 6658672*h**2 + 16646816*h + 13317504 = 0.\nAnswer: -4, -2, 208086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2418708*i**4 - 3*i**2 - 4*i + 101103163 with respect to i.\nAnswer: -9674832*i**3 - 6*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1410\/555)\/47 + (-42)\/(-592).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 33 - 9 = 0. Let m be ((-12)\/(-8))\/(q\/8). Solve 3*o = -m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*v**3 + 20*v**3 - 87*v**3 - 128*v**3 - 10*v**3.\nAnswer: -270*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 31*x + 8. Let z be u(-22). Suppose -2*o - 5*v + z = 0, -o + 52 + 45 = v. Differentiate -62*a**4 - 17 + o*a**4 - 6 - 21 wrt a.\nAnswer: 124*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14979 + -9438. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -1, -7\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/30 + (-1036)\/(-105). Solve 0*m = 2*m - g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 + 24976?\nAnswer: 24940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -11. Suppose 3*o = -v*j + 6, -o + 0 - 2 = 0. Suppose j*f - 5 - 15 = 0. Solve 4*z - 15 = q, -4*q + 0*z + 24 = f*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.93 - 0.07. Let d = 1 - h. Which is the biggest value? (a) 0.4 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1300320 (base 4) to base 16\nAnswer: 1c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1 + sqrt(192))*-3*4)**2.\nAnswer: -111168 - 9216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -46. Let x = 25.965 + m. Round x to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/150 - b**4\/30 - b**3\/5 + 3*b**2. Let u(a) = 0. Calculate a.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 - 54 = -9*n. What is the smallest value in n, -0.3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(1\/7))\/x**9)\/(((x*x**2)\/x)\/(x\/x**(-9))) assuming x is positive.\nAnswer: x**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 - -251. Let i = 160 + -150. Solve -s*b + i = -6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/35)\/(46\/(-5))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1 + 22*c**3 - 179*c**2 - c**3 + 3 + 177*c**2. Suppose 5*w + 4*f = 14, -2*w + 0*w + 3*f = -1. What is the units digit of h(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(2 - (-6)\/(-2)). Let p be ((-1)\/g)\/(4\/(-8)). Which is bigger: 8\/7 or p?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 328612647 and 484.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 14*i**2 - 13*i - 1. Let m be a(-13). Is 1 - (m + -1946 + 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.5 - 10. Suppose 2*v - 14 = -2. Let f be (v\/(-5))\/(3\/10). Which is the nearest to f? (a) l (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 + 24*g**2 + 4*g**2 - 55*g**2 + 26*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 9) to base 11\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 90*p**2. Let k(r) = 10*r - 9. Let v(z) = -52*z + 48. Let j(b) = 16*k(b) + 3*v(b). Calculate j(y(i)).\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2. Let m(j) = j**2 + 5022. Determine m(n(p)).\nAnswer: 16*p**4 + 5022","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 545 - 545.0037. What is p rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v - 15. Let u(t) = 27*t - 4. Let h(p) = 44*p - 8. Let g(q) = 5*h(q) - 8*u(q). Determine 4*d(o) - 7*g(o).\nAnswer: 4*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1453782 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 65170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*2)\/(6*sqrt(22)\/sqrt(2) + sqrt(11)) - (4 + sqrt(14)\/(sqrt(49)\/sqrt(7)) + -1))**2.\nAnswer: -6*sqrt(2)\/7 + 443\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 8*d**2 + 8. Calculate the remainder when h(8) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (12 + -1) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 4*g - 13, 5*m + 8*g + 19 = 4*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/28 - (-45)\/21) + 328. Let x = -286 + k. Find the common denominator of -71\/40 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79? (a) 4 (b) -40 (c) 1530\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -271, -1.\nAnswer: -271, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s + 6. Which is the third biggest value? (a) -2 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3, 2, 1311, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344)*-1)\/(sqrt(75)*-4).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 13. Let a be x(9). Suppose 5*y - a = 4*y. Suppose -5*j = -6 - 4, -4*s = -y*j - 60. Calculate the remainder when 32 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/29))\/i)**(-2\/129)*(i\/(i\/(i\/(i*i**2*i))*i))**(10\/3) assuming i is positive.\nAnswer: i**(-16628\/1247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*w**2\/7 - 92*w\/7 + 8\/7.\nAnswer: -4*(w + 1)*(25*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374 = 13*l + 6*l + 15*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 4*g - y - 16, 4*g - 8 = -2*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1 + -3 - -7). Let c = -2 - -5. Suppose c = 3*n - 0. Sort n, i, -2.\nAnswer: -2, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 606187.5t?\nAnswer: 606187500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18909 + 19117. What is the lowest common multiple of p and 1131?\nAnswer: 18096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 v when three letters picked without replacement from {l: 2, w: 2, v: 1, j: 1, b: 1, t: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millennium in centuries?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 64. What is the greatest common factor of m and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12940?\nAnswer: 2, 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-2)\/(-105))\/(2*4\/40).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2112, -1860, -1606, -1350, -1092?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137513 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmcmmccmmc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -11*a**3\/3 - a**2 + 368. Calculate r(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6959 to two dps.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2.07 (b) 4\/7 (c) -4 (d) 0 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l**4 - 40365*l**3 - 15108955*l**2 - 1815582135*l - 517505310 = 0 for l.\nAnswer: -447, -259, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000790511 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15368 - 10539. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/3013 and -107\/1572.\nAnswer: 36156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r + 15 = 5*h, -4*r + 5*h = 12. Let q be (6 + r - 3) + -3. Let k = q - -5. Calculate the least common multiple of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4413617 (base 8) to base 14\nAnswer: 22c155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 - w + 2. Let u be 20\/(5 - (6 + -2)). Let q be u\/25*(-5)\/2. Give n(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243572 divided by 2?\nAnswer: -121786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -8. Let s = -0.11 + 0.082. Let z = -0.172 + s. Which is the closest to 1\/3? (a) z (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47.64064*2.\nAnswer: 95.28128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*x + 34 - 13 - 21 as y + h*x and give h.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**10*o*o*o**(-5)*o\/(o\/o**(2\/7))*o**(-1\/5) assuming o is positive.\nAnswer: o**(283\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 773\nAnswer: 1\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/(-78)*5\/20?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 33\/7 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 1, n: 7}. What is prob of picking 2 p and 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281147910 to the nearest integer?\nAnswer: 16767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - -1 - -1 - ((-101 - 16) + 137)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 11*q + 20, -4*q + 19 = c. Let h be -2 + 2 - (-20 - -1). Suppose -5*x + h + 16 = 0. Solve -4*s = x*w - c*w - 40, -s = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 14*g = -13*g + 9, -3*g - 21 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6)\/(24\/(-64)). Suppose y = -u + 16, -r*y + 5*u - 5 + 60 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 1\/15*c**5 - 1\/3*c**4 + 4 + 2\/3*c**3 + 1\/3*c - 2\/3*c**2. Find a such that k(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 55 + ((4 + -1)*-2 - 0\/(-30)). Solve -13*p + m*p = 72 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781576.\nAnswer: 2, 151, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 3) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 0*q - 2\/3*q**3 - 11 + 1\/2*q**4 - 2\/15*q**5 + 1\/3*q**2. Factor l(v).\nAnswer: -2*v*(v - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2272 and 216?\nAnswer: 61344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuufpuuuuhfffffuuff. What is prob of sequence fh?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041.\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/8 - (-6)\/4. Suppose p*a = -4*l - a + 12, -2*l - 20 = -5*a. Suppose l = -0*b + b - 3. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 11. Let w be g(9). Let z(n) = -2*n - n - 3 + 2*n + 1. List the prime factors of z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*c = -6, -6 = -0*z - z - 2*c. Suppose 6*u + 240 = 2*b + z*u, 5*u = 10. What is the remainder when b is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 817*n + 4938.\nAnswer: -(n - 823)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(72)*-3 - sqrt(72) - sqrt(72))\/sqrt(8)) - (-5 + (sqrt(11) + 1 - sqrt(11)) - (sqrt(1100) + -2*sqrt(1100) + sqrt(1100) - sqrt(11))).\nAnswer: -6*sqrt(11)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 12\/21887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**6 + 6039591*b**3 + 415*b**2 + 21*b + 235 wrt b?\nAnswer: 360*b**3 + 36237546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.244069um in kilometers?\nAnswer: 0.000000009244069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*w + 344 = 4*k - 204*w, 5*k - 3*w = 424. Suppose -h - 11 = -75. What is the greatest common divisor of k and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/13, 0.04, 3, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 762 + -734. What is the remainder when 88 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26338, -26340, -26342, -26344, -26346, -26348?\nAnswer: -26350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -5*x - 72. Suppose -4*r + 5 = 13, 3*r - x = -g. Calculate the remainder when 69 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(405) - (sqrt(35)*2 + sqrt(35))\/sqrt(7)) + -2 + sqrt(60)\/(-2*sqrt(1200)).\nAnswer: -2 + 479*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -98, 8, 2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 412\/7 or 59?\nAnswer: 412\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 4*y + 5. Suppose -3*g + 5*l = 9, -6*g = -8*g - 3*l + 13. Suppose 0*r = 2*r + 4*a + g, -2*r + 4*a - 26 = 0. What is s(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-50.61177\nAnswer: 20.244708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:18 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r**20*r*r**(-23) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2554846, -2554844, -2554842, -2554840, -2554838, -2554836?\nAnswer: -2554834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 4 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -93*l + 1120. Let a be j(12). Suppose 4*y + 84 - 248 = 0. Let z = y - 18. Solve 0 = -a*b - z + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661472111 a multiple of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 17*o + 6. Let z be i(-5). Let q = z - -55. What is the units digit of (q\/18)\/(1\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.514445ml?\nAnswer: 0.001514445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 875714 and 14977?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1152 and 32.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 40 = 11*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/378070 and -17\/200?\nAnswer: 7561400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, x: 1, a: 2}. What is prob of sequence qa?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/14 - (-53)\/44. Let f = 1987\/396 + n. Calculate the common denominator of f and -7\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 602314 and 2318?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -113806 >= 105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2168*c - 513 = 2141*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, b: 1, y: 1, c: 1, z: 2, h: 3}. What is prob of picking 1 z, 1 b, 1 y, and 1 h?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h = -10*h - 564 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2347 * -3.\nAnswer: -7041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 7 - 1 + 1 + 3 - 3 + (-1 + 1 - 2)*(-6 + 2 + 3))*(20*u + u**2 - 20*u)*(u - 7*u + 4*u)*(-1 + 0 - 1).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (7 - 0 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0*a**4 + 0*a + 5\/6*a**3 - 1\/120*a**6 - 11\/60*a**5 + 0 + 7*a**2. Let p be b(-11). Solve -p + 4 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -54, -122, -216, -336?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.057226 rounded to 1 dp?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31997\/3 + 10669. Let l be 4*(-1 - 6\/(-4)). Factor 8\/3 - 8*h + y*h**l.\nAnswer: 2*(h - 2)*(5*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1512 = 6*q. Suppose q = 10*x - 3*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:10 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4\/4 + 504360*w**3 - 3026190*w**2 + 6052400*w - 4034940 = 0 for w.\nAnswer: -403494, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*u = -69*u - 7358. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -4*a - 5*u, -5*a + 5*u - 60599 = -60629 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from xnnxxxnnxn.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 7*g**2\/2 - 5386. Let q(d) = -290*d**2. What is q(p(l))?\nAnswer: -14210*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + (sqrt(275) - (-1*sqrt(275) - sqrt(275) - sqrt(275))*-1))\/((-2*sqrt(25))\/sqrt(5)))\/(-1*sqrt(80)*-5*3).\nAnswer: sqrt(11)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:56 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsmmr. What is prob of sequence mr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1352\/(-832)*((16 - 1) + -7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27704079 and 468?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/18)\/(2 + 6 + -9)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87745100 to the nearest integer?\nAnswer: 9367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101789?\nAnswer: 101789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 2144.\nAnswer: 49\/2144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117.4 * 33.\nAnswer: 3874.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136296 = -5429*r - 151441 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1666 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 800*s - 66549. Let z be k(-118). Find l, given that -4*l**2 + 15\/2 - 13\/4*l - 1\/4*l**z = 0.\nAnswer: -15, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m**(-1)*m)\/m))**12*(m\/m**(-2)*m)\/(m*m**(3\/7)\/m)*((m*m**(-1)*m)\/(m*m\/((m**6*m)\/m)*m*m))**(-14\/13) assuming m is positive.\nAnswer: m**(1123\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, 2, 39, 156, 0 in increasing order.\nAnswer: 0, 2, 3, 18, 39, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (490\/((-70)\/10))\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 1362527?\nAnswer: -1362527.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -15*a**4 - 40*a**3 + 25230*a**2 - 33560*a + 8385 = 0.\nAnswer: -43, 1\/3, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 + 1 = 0. Suppose l*p + 39 = 3*c, -c + 13 = 5*p - 12. Calculate the remainder when ((-176)\/(-264))\/(((-8)\/354)\/(-2)) is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -331, -333, -335?\n\"Answer: -2*r - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**5\/9 + 2*p**4\/3 + 142*p**3\/9 + 118*p**2\/3 + 220*p\/9 = 0.\nAnswer: -5, -2, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438294 - 12.\nAnswer: -438306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u - 6. Let d be z(4). What is the units digit of 2 + d + (3 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48476229 is divided by 6925174?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 37*u - 12. List the prime factors of s(-7).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)\/(s**(-3)*s))\/(s*s**(-1\/9)*s**3) assuming s is positive.\nAnswer: s**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -o + 1, -5*a - 4*o = 56 - 46. Let y be -4*(5\/4 + -2). Suppose -5*k + y*k = a*k. Is 0 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:03 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000041836 to 6 dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/573 and -59\/28.\nAnswer: 16044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 5157.\nAnswer: 5157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u + 3. Suppose l + x = 0, -3*x + 32 = -0*l - 5*l. Let s = u + l. Sort 4, -8, s.\nAnswer: -8, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -605, -1368, -2437, -3812, -5493, -7480?\nAnswer: -9773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/3705 and -29\/55185.\nAnswer: 1048515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1 - 22 + 99044*m - 99053*m. Let a(s) = 12*s + 19. Let c(l) = 4*l + 6. Let h(q) = 4*a(q) - 11*c(q). What is -13*h(b) - 6*u(b)?\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.6687109s in days?\nAnswer: 0.00020449896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -2*m**2 - 6047. Let v(j) = -3*j + 16. Calculate v(y(u)).\nAnswer: 12*u + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 13*p**2 - 3*p - 1. Let c(i) = -i**3 - 2*i**2 + i - 2. Let k be c(-4). Let o = k + -23. What is the remainder when v(o) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-4)\/(-6))\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.8. Let m = 2.6 + -3. Suppose -140*l + 142*l = -2*c, c + 10 = -5*l - 2*c. What is the nearest to l in j, 2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3112 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Let p = h - -0.3. Suppose -i - 3*i - 2*n - 8 = 0, 4*i = -3*n - 8. Which is the third smallest value? (a) i (b) 1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 70. Suppose k*s - 28 = 6*s. Let x(p) = 14*p + 3. Let b(g) = -5*g - 1. Determine s*x(m) + 11*b(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 1, -50, -4.\nAnswer: -50, -7, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2749*z - 35600 = -969*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 5:54 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {d: 2, x: 1, h: 1, e: 2, u: 4, m: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*k**6 + 5591*k**5 - 4*k**4 - 189911*k**2 + 2?\nAnswer: 1680*k**3 + 335460*k**2 - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6776 + 6778. Solve 0 = 4*l - 2*u + 5 + 5, -s*l - 3 = u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2066, -0.1, 3 in increasing order.\nAnswer: -2066, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwp when three letters picked without replacement from kppeewyppp.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 6191 - 14087 = 0. What are the prime factors of r?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -364 - -367. Suppose 5*k = t + 41, 0 = 2*k - t - 2*t - 6. Calculate the lowest common multiple of w and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in 1\/2, -1, -517, -5, -5\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j**3 + 73*j**2 - j + 18. Let b be a(9). Put b, 0.4, 1, 2 in increasing order.\nAnswer: 0.4, 1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4131477, -4131467, -4131447, -4131417, -4131377, -4131327?\nAnswer: -4131267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-27)*-6*10\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-one fifths of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -77. Suppose -3*h - l = -6*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6476148230.\nAnswer: 2, 5, 647614823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40.98 and -0.3.\nAnswer: -12.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -254 - -137. Let p = f + 258. List the prime factors of p.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.5. Suppose -190*b = -133*b - 171. Which is bigger: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10322 (base 4) to base 15.\nAnswer: -15e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2128 divided by -532?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:41 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4240, -4201, -4152, -4087, -4000, -3885, -3736?\n\"Answer: u**3 - u**2 + 35*u - 4275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4954099 - 7?\nAnswer: -7.4954099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 707 = -713 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -233, -232, -231, -230, -229?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -293840 (base 12) to base 2\nAnswer: -10101000100111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 23030313133?\nAnswer: -23030313202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1973.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 15710 and 17772 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 47. Find the common denominator of (-70)\/12*l\/(-11) and 101\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -6*t + 27. Let m = t + 25. Let b(i) = -42*i**3 + 2*i**2 + 7*i + 1. Is b(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, 1491, 3188, 4885, 6582, 8279?\nAnswer: 9976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-334)\/(-36) + -9)\/(10\/6). Let f(o) be the first derivative of -c*o**2 + 1\/9*o**3 - 4 + 0*o. Factor f(b).\nAnswer: b*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Is 154808315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.7 + 40.7000015568. Round q to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115847163?\nAnswer: 3, 17, 757171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 12*q = 13430. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 198\/312031?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/(-207))\/(-2)*9\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 17*r - 2818. What is i(149)?\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*((-681)\/75 - (-10)\/125). What is the greatest common factor of d and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 + 1049. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38573 less than or equal to 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(91) + (sqrt(91) - (sqrt(91) - sqrt(91)*4)))*-5 - sqrt(91))*6)\/(sqrt(847) - (5*sqrt(847) + sqrt(847)) - -2*-2*sqrt(7)))**2.\nAnswer: 5061888\/3481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1214 + -4?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548 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: What is -142 (base 7) in base 10?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48159 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) 2 (c) 0.4 (d) -9041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 88.51983 tonnes?\nAnswer: 88519830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*d, -d = -3*d - 2*j + 8. Let w(q) = 32*q - 5. Let m be w(d). Let s = 206 + m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**3 + 9*r**2 + 9*r + 4. Let j(h) = -h**3 + 2*h**2 + 2*h + 1. Let q(c) = -3*c - 7. Let t be q(-5). Let b = t - 26. Give b*j(n) + 4*v(n).\nAnswer: -2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-9 - -5 - (7 + -17 - -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrfrrrrrrr. Give prob of sequence rf.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976693483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*z = -596*z + 828 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -507 - -504. Which is the second biggest value? (a) -8\/3 (b) 0.03 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 900\/12 + (-4 - -7). Calculate the greatest common divisor of x and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5 + 3*c**4 + 30*c**3 - 30*c**2 - 27*c + 27 = 0. Calculate c.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apwoiwappoparro. Give prob of sequence wo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*11\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*i - 5, -3*n = -2*n + 5*i + 9. Let a = 123 + -86. Let f = a + -26. Calculate the greatest common divisor of n and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**6\/720 + r**5\/360 - 39*r**2 - 3*r + 1. Let n(j) be the first derivative of k(j). Factor n(v).\nAnswer: -v**2*(v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - -9. Let t(g) = g + 6. Let r be t(-5). Let z be 1 - (-1)\/(r\/20). What is the highest common divisor of z and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538335993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-36)\/22)*(1068\/(-84) + 13)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*g = -390*g + 26974 + 30545 for g.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8383864.0000005 + 8383862. Let r = c - -2. Round r to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.29999675 + 7.3. What is g rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.45153884 rounded to two decimal places?\nAnswer: 1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.51 - -0.79. Let o = -6.677 + -1.223. Let p = o + j. Which is the second biggest value? (a) -4\/9 (b) -3\/2 (c) p (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 + 2 + 873 = -76*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v + 3 + v**2 - v + 0*v. Let m be (0 + -2)\/((-6)\/(-18)). Let n(l) = 12*l**2 + 34*l + 34. Let h(p) = m*n(p) + 68*s(p). Let z(t) = 4*t. Give z(h(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-8)*(-5 + 7). Sort y, 0.05, 2\/13, -13.\nAnswer: -13, y, 0.05, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:08 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90*f*p**2 - 24039*f + 52*p**2 + 2*p + 4038 wrt f.\nAnswer: 90*p**2 - 24039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 265? (a) 2\/7 (b) -0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3101 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760172709?\nAnswer: 3, 253390903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35026390 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-135) + (-92)\/(-18). Suppose -1 + 21 = m*u. Let p = -638 + 643. Solve o + u*o = -p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*y = 11*y - 414 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 1145000. Let b be o(0). What is b rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 14 - 3 + 34*l - 46*l - 32 as b*l + x and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*w**3 + 2 + 64*w**2 + 59*w**2 + 56*w**2 - 181*w**2 - w**4 as j*w**2 + c*w**4 + k*w**3 + n*w + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 8. Let r be m(-4). Suppose r*q = 139 + 125. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*o**3*x**2 + 67*b**3*o**3*x - 58913*b**2*o**3*x**2 - 2*b**2*o**3*x + 10388*x wrt x?\nAnswer: 6*b**3*o**3 - 117826*b**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.8091 + -0.1909. Sort -29, 7, x, -2.\nAnswer: -29, x, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*135\/6. Let h be (3 - t\/(-6))*-14*-1. Solve -3*u + h + 5 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Let p = 0.01 - 0.07. Let g = p + 2.06. Which is the nearest to 1? (a) g (b) -1\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 638459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 less than or equal to -1843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.014 + 0.014. Let k = -55 + q. Let b = k + 82.891. Round b to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 66 (b) 4 (c) 1 (d) 10\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 + 330*x**2 - 5760*x + 10240 = 0. What is x?\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*r + 269788 = 4*i - 190*r, -5*r + 67481 = i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 97 - 88. Put a, -2, -4 in increasing order.\nAnswer: -4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29982 - -12?\nAnswer: 29994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, and 1 t when three letters picked without replacement from {b: 3, v: 1, d: 1, w: 5, t: 1, j: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1469 + 1425. Which is the second biggest value? (a) 0 (b) 3\/2 (c) t (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000234 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) -19\/6 (c) -4 (d) -1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79, 199, 385, 667, 1075, 1639, 2389?\n\"Answer: 5*w**3 + 3*w**2 + 76*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(96*k + 119*k - 256*k).\nAnswer: -82*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280633?\nAnswer: 29, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98201 is divided by 5446.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/48*316\/(-4) and 149\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 6. Let z(f) = -f + 5. What is 6*u(n) + 5*z(n)?\nAnswer: n - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 68 - (-12 - (10 + -24 - -2)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 37836 = c, c - 77413 = -2*n - 1746. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-1 - 4) - (-27 - -2). Solve 3*h - x = 11, -3*h = 4*x - x - k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 + 0.11?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54 and -872.\nAnswer: -47088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 10*u**2 - 8*u + 10. Let f be i(-9). Let r be ((-92)\/(-230))\/(f - (-312)\/(-310)). Which is smaller: -61 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - ((5 - 5) + 0)) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - b + b)*(-14*b + 87 + 28 - 107).\nAnswer: 28*b**3 - 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1489*g + 10. Let v be s(-5). Suppose l = 3*n - n - 1491, -5*l - 4*n - v = 0. What is l rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733*z = -8358 - 1904 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 11565411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389.78472*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 4*z**4 + 2 + (-6*z**2 + 24*z**2 - 9*z**2)*(-5*z**2 + z - z) - 2*z**2 + 2*z**2 + 2*z**4.\nAnswer: -47*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14099490 - -14099391.000408. Let n = s + 99. Round n to 5 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -250*z + 4. Let o(y) = -125*y + 2. Let w(h) = 4*k(h) - 7*o(h). Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-3)\/(-9))\/(264\/(-72))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/3 - -1. Which is the smallest value? (a) 5 (b) -5 (c) v (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 70 = -9*t. Is -1563*(t\/(-12))\/(5\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -3, 47\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/281, -0.4, 5, -5 in descending order.\nAnswer: 5, 3\/281, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwewieciweixce. What is prob of sequence xecc?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2416 - 2390. Let r = -426 + 684. Calculate the remainder when r is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -12 = -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*o + 32, -3*a - 18 = -5*o + 6. Is (2\/a)\/(3\/(-30948)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4686 - -4698. Solve i*x - 17*x + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llssslll. What is prob of picking 1 l and 2 s?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 7*u. Let l(m) = -m**2 + 4*m. Let i be l(5). Let r(w) = -w**2 - 8*w + 4. Let v be r(-8). Let y(b) = 2*b**2 + 8*b. Calculate i*f(z) + v*y(z).\nAnswer: -2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-16)\/8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 14) in base 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h - 6. Let d(f) = -1 - 1 - f - f**2 + f**h + 13. Let i = -1361 + 1361. What is d(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875) + sqrt(35))\/sqrt(5) + sqrt(7))*-1 + ((sqrt(84) + (sqrt(84) - sqrt(84)*1))\/sqrt(12) - (-1 + sqrt(28))**2).\nAnswer: -29 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -46*z + 3. Let m be k(-3). Suppose g + 2*g = m. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g + 0*g + 3*g)*(0 + 3 - 1) + g + 2*g + 2*g)*(4 - g - 4).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42055787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecm when three letters picked without replacement from {c: 2, e: 1, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 890*p - 8371 - 82082 - 26137 for p.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i. Let j be b(-2). Solve 0 = -2*p - 2*r - 10, j*r - 6*r = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by 31.\nAnswer: 86\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(567) - sqrt(567)) - (-4*1*sqrt(567) + sqrt(567)))**2 + -5*sqrt(14)\/((sqrt(12)*-1)\/sqrt(6)).\nAnswer: 5*sqrt(7) + 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116 + 118. Solve 2*k = -i*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - 2*(sqrt(88) - -1*sqrt(88)) - sqrt(88))\/(sqrt(32)\/(-2*sqrt(4))) - ((sqrt(132) + sqrt(132)*-1*-4)\/(sqrt(192)*-3))**2.\nAnswer: -275\/144 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11)*2 + sqrt(132)\/(sqrt(36)\/sqrt(3)) + sqrt(55)\/(-6*sqrt(5)*3))**2 + -1.\nAnswer: 30575\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 30. Let h be 17*(-2 - (1 - 4)). Suppose 4*v - 2*k + k = h, -4*k = v. Calculate the remainder when t is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 52*s**4 + 4364*s**3 - 14428*s**2 - 44156*s + 3480 = 0.\nAnswer: -87, -2, 1\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = -3*r + 10, -r = -6. Solve -v*k + z = 6, -4*k = -5*z + 10*z + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.2, -4.74231, 0.3, 0.5, -0.1?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61923371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 9:23 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13475 divided by -7.\nAnswer: -1925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 3:44 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -233020 (base 4) in base 9?\nAnswer: -4121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*i = -82, 2*w + i - 43 = 5. Suppose 5*q - 4*q + 5*y - 27 = 0, q - 5*y = -w. Calculate the greatest common factor of q and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 123968 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 67*i - 147*i + 155*i as a + d*i and give d.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -73 - (-38 + -19) - (6 + -1)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 16*t - 59. What is y(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5646 by 941.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 22 = -24. Let d(v) = -11*v + z*v - 20*v. Let k(x) = 6*x**2. What is d(k(m))?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 10 + 10)*(-7*u + 6*u + 23*u) + u**2 - 2 - 2*u**2 + 1 to p + h*u + x*u**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*l = -7, -j + 5*l = l + 2. Calculate the remainder when 125 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8735288*g**4 + 326378 wrt g.\nAnswer: -34941152*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15057129.\nAnswer: 3, 5019043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101110111101 (base 2) to base 10\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1048427 and 1255.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) 25.947 (b) -2\/5 (c) 1 (d) -1\/6 (e) -0.01 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*j = -4, z = -0*z - 2*j - 10. Let o be 6 + 2\/z + 1. Suppose -3*y - 21 = -o*y. Solve 0 = 3*d - y*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*p = -p - 1, 5*a = -5*p + 25. Suppose 0*b = a*q + 3*b - 30, -4*q - b = -50. Solve i + 3*f = -q, i - f - 4 = -0*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9039*z**2 + 2247*z**2 + 2254*z**2 + 2259*z**2 + 2264*z**2.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i + 11. Let q(y) = -y - 1. Let u(o) = -6*m(o) - 66*q(o). Let n(f) = f**2 + 22*f - 142. Let k be n(-26). Let w = k + 37. Calculate u(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 0 - (-3)\/((-24)\/(-16)). Let s = -17 - -19. Solve -3*o - 17 = -i*j + s*j, o + 15 = 3*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 7*p**2 + 7*p + 3. Calculate w(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, -41, -119, -235, -395?\n\"Answer: -m**3 - 10*m**2 - 9*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**5\/5 - 6214*j**4\/5 - 21702*j**3\/5 - 3086*j**2\/5 + 21706*j\/5 + 1860 = 0.\nAnswer: -1550, -3, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.8 or 1?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 9*t = 15*t - 2523 - 2437 for t.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -236 + 236.5. Which is the nearest to 1? (a) i (b) 5 (c) -1\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {n: 1, r: 3, l: 1, g: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - k**2 - 9*k + 468. Calculate o(0).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 138 = -2*o. Suppose -125 = -4*b + o. What is the greatest common divisor of 333 and b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*l**3 + 8*l**3 + 351*l**3 - 29*l**3.\nAnswer: 42*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 508 - g - 253 - 256. Calculate q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*b + 4*b. Let t = b - -20. Let q be (2\/(-49))\/((-32)\/(-224)). What is the closest to 9 in -2, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24130122173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = u - 13, -2*z - 5 = 4*u + z. Let y = u - -15. Suppose 98*w - 99*w - 65 = -h, -5*w = h - 53. What is the remainder when h is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5990000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 18.07. Let g = -10 + 28. Let z = g - 23. What is the closest to h in -0.3, -1\/3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 9. Let s be (-4)\/3 + 98\/96. Which is bigger: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*o + 43*o - o**3 - 63 + 51*o to the form g*o**3 + k*o + y*o**2 + v and give v.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -647.\nAnswer: -258.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/210)\/((-2)\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 5 - 4) + -15 + 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133210988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5\/2*t**2 + 51\/8*t + 1\/8*t**3.\nAnswer: t*(t + 3)*(t + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96140839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -6 - 2 - 6 - -5) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.022 + 3.978. What is the nearest to -2 in -4, 1, 5, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3679992 is divided by 151?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in -1\/4, -3\/2, 5, 0.35, -16, -0.254?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.12221 months in centuries?\nAnswer: 0.120935175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 7911632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4181 or 6.2535?\nAnswer: 6.2535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4552 (base 8) in base 3?\nAnswer: 10022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 443 - 381. Suppose -4328 = n*p - 66*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 - -101. Let s(u) = -2*u**3 + 3*u**2 - 2*u + 43. List the prime factors of s(i).\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9163220 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3 - 7 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 10*q + 6. Suppose -2*j = -3*b + 18, 3*j + 15 = 8*j. Is t(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/558 and 173\/14875308.\nAnswer: 461134548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzibq. What is prob of picking 1 y and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 7 = 4*x. Is (-2296)\/(-16)*(3 - x) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -34*y**2 + 16. Let w(o) = -7*o**2 + 3. Suppose 3*s + p + 7 = 0, 2*s = -198*p + 203*p - 16. What is s*m(j) + 16*w(j)?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36070 + -3?\nAnswer: 36067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 110*i**2 - 497*i + 3414. Let j be z(7). What is the highest common divisor of j and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -539*d**4\/4 + 2316*d. Let o(m) = -7*m. Calculate o(l(r)).\nAnswer: 11319*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, f: 4, x: 7, d: 1, a: 4, s: 1}. Give prob of sequence iixx.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116835 and 1305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*u - 17, 0*a + 3*u - 19 = -4*a. Let g = -3 + 2. Let n be a*(1 - (2 + g)). Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5472201 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 15*b - 36 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 9. Let y be z(11). Let r(i) = 53 - 53 - 3*i**2 + y*i**2. Let h(o) = 5*o**2. Calculate h(r(d)).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -44417.\nAnswer: -88834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y + 2. Suppose -3*q - x = -8*q - 15, x = 0. What is z(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -7) + 9 - 7. Suppose -4*h = 2*f - 5*h, 3*f + h - q = 0. Which is the fourth smallest value? (a) -5 (b) 2\/3 (c) f (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-36) - 264\/(-27). Suppose -4*s = w - 220, -12*s = -n*s - w - 104. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2) - 2\/(-2). Let u be j + (-4)\/(-3) + -1. Let x = 5.8 - 6. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, -97, -260, -477, -742, -1049, -1392, -1765?\n\"Answer: a**3 - 36*a**2 - 2*a + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195 times -0.2?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -11*v**3 - 706939*v**2 + 23212366*v + 4243800 = 0?\nAnswer: -64300, -2\/11, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(153)*3 + 1 + -3)*-6)**2*2.\nAnswer: 10368*sqrt(17) + 1586592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 743, 1456, 2177, 2906, 3643?\nAnswer: 4388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -156.7 - -156.8. Sort 10, j, 2, -2 in decreasing order.\nAnswer: 10, 2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-2275)\/(-119) - 12)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 2*i**3 + 3*i**2 - 3*i**3 + 0*i**2 - 1 - 1. Let f be q(2). Let p(b) = b + f*b - b - b. Let a(s) = 4*s. Determine p(a(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5082 and 53274144?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 11*b**2 + 59*b + 4. Let k be o(15). Let u(f) = 9*f**2 - 7*f - 19. Let s(a) = -5*a**2 + 4*a + 10. Determine k*s(n) - 6*u(n).\nAnswer: n**2 - 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsmmb. Give prob of picking 1 m and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heeefrxxeevrvre. What is prob of sequence fff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = 125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21751890 divided by -1762?\nAnswer: 12345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 - 2*g**2 - 7*g - 4. Let o(t) = 2*t**3 + t**2 + 6*t + 3. Suppose -4*s - 20 = -2*h, 0 = -33*s + 36*s - 3*h + 18. Give s*o(v) - 3*z(v).\nAnswer: v**3 + 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78690 divided by -6.\nAnswer: 13115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16762400257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(6 - 4) + 8\/2. Let f(b) be the third derivative of 0*b**3 - 1\/150*b**5 + 25*b**2 + z - 1\/15*b**4 + 0*b. Factor f(r).\nAnswer: -2*r*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.00749? (a) -0.2 (b) 1\/5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-48) - (-158)\/(-6). Let s be 2495\/(-495) - 6\/o - -5. What is the closest to s in 1\/7, 0.3, -0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 3*o - 19, -1211*o = -4*c - 1214*o - 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205723131 by 205723131.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**3 + 3*u**3 + 6*u**3 - 42*u - 11*u + 14*u**3.\nAnswer: u**3 - 53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1 = -13. Let a = g - -5. Suppose -9 = 3*t + 6. Sort a, 2, t.\nAnswer: t, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86472.837 microseconds in hours?\nAnswer: 0.0000240202325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 1. Let m(i) = 12*i - 20. Let k(j) = m(j) + 6*x(j). Differentiate k(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.511119*0.2.\nAnswer: 0.5022238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 272 divided by -21\nAnswer: -272\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 197065194*f**2*t**2 + 13546518*t**2 - 6 wrt f?\nAnswer: 394130388*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8040853841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*g - 648*g - 17*g**2 + 1793*g - 560*g.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31256326*l*u - 109149593*u with respect to l.\nAnswer: 31256326*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -184876 divided by 46219?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 8, 0 = 3*f - 2*l - 66 + 67 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4222228.\nAnswer: 2, 71, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.677897 days in seconds?\nAnswer: 576970.3008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 5*p**2 + 5*p**2)*(-6 + 6 - 6*p)*(-3*p - 4 + 4 + (-3*p - 7*p - 15*p)*(-1 + 2 + 0)).\nAnswer: -336*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12018*k**2 - 3. Let o(h) = -883*h. Give m(o(d)).\nAnswer: 9370302402*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 171. Suppose -888 = -43*u - 935 - 4683. Does u = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2016457*z**5 + 17*z**2 - 50779*z?\nAnswer: 120987420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8744156)\/(3 - -1))\/(-1). Suppose 5*g - 11300002 = 2*l, -5*l - m = 3*g - 8966034. Round g to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 + 9*j.\nAnswer: j*(j + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10954, -21900, -32848, -43798?\nAnswer: -54750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -21. Let n = -130 + 132. What is the remainder when (n - 64)*21\/(-6) is divided by y?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 11*n = 230. Let x = -33 + n. What is the highest common factor of 65 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 14) to base 13.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 557 + -543. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16250, -32491, -48732, -64973, -81214, -97455?\nAnswer: -113696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 5:34 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12845798.\nAnswer: 2, 7, 917557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 6 + 1\/3*w**3 + 0*w + 3*w**2. Find the second derivative of h(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 2*z**2 + 31*z + 41*z - 150*z + 52*z - 4*z**4 to v*z**2 + k*z**3 + l*z**4 + r + w*z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.65 and 10154.\nAnswer: -16754.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 415 = -12*a + 17*a, -3*c + 291 = 3*a. What is the highest common divisor of c and 1050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*b = -0*b + 22, 0 = -2*b + 4. Let q(n) = 3*n - 4. Let o be q(4). Suppose -7 = 5*p + 13, u + 3*p + o = 0. Solve -f*a = -12 + u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003875956 to 6 decimal places.\nAnswer: -0.003876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3.372917 + 0.5\nAnswer: 3.872917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, -5, -58 in decreasing order.\nAnswer: 5, -1, -4, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 148 = -678. Let g = -40 + c. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(1\/36)\/(k**(-2)\/(k**(2\/21)*k)) assuming k is positive.\nAnswer: k**(773\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*k - 158*k + 12 = -6*r, 46*k + 10 = 47*k - 5*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 3, d: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4283, 4, -6 in ascending order.\nAnswer: -4283, -6, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.5, -0.4, 2, 0.3 in descending order.\nAnswer: 2, 0.3, 0.2, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(90) - sqrt(10)))\/(sqrt(2)*2*-3).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*z = -43*z. Which is smaller: z or 1\/213?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10226 + 3?\nAnswer: 10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2680 or -2675?\nAnswer: -2675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16776 is divided by 5465.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 4, x: 2, i: 1}. What is prob of sequence mwm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246 + -245. Let i(u) = u**2 + 2*u. Let y(g) = -6*g**2 - 2*g + 4. Let p(d) = w*y(d) + i(d). Let b(c) = c**2 + 5 + 0*c**2 - 6. Determine 4*b(m) + p(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*p**3*t + 14108*p**3 - 4385*p**2*t - 2*p**2 - 505 wrt p?\nAnswer: -564*t + 84648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5561826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 1 - sqrt(19)) + -4 + (0 + sqrt(19))*-5 + (-5 + -1*sqrt(171) - sqrt(171) - sqrt(171)) + 4 + 2*sqrt(171))**2.\nAnswer: 64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**3 + 24*w**3 - 17*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -5*s + 1\/2*s**2 + 6. Calculate z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**4\/3 + 4*k**3\/3 + 216*k**2 - 2512*k\/3 + 2464\/3 = 0.\nAnswer: -14, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3 - 7 - a**2 + 2*a**2 - 5. Let n be t(-3). What is n rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4723*v - 17 = 2*n + 4726*v, 0 = 3*n + 2*v + 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 461*c**3*o**3 - 320*c**3 wrt o?\nAnswer: 1383*c**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 3, j: 1}. Give prob of picking 1 d and 1 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6354 take away -2054?\nAnswer: 8408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2505729 is divided by 269.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 11*j**2 - 27*j - 3. Let k be q(7). Solve 5*y = -20, 5*n - 41 = k*y - 0*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-40)\/18))\/((-21)\/(-35)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-48))\/((-35)\/(-378)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23764)\/6)\/(((-32)\/(-6))\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -205. Suppose 3*a = 6*a - v. What are the prime factors of a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (9 + -12 + 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 - t + 4. Let v(z) = -z**2 + 1. Let b be -3*1\/((-12)\/(-40)). What is b*v(x) + 2*i(x)?\nAnswer: 2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 17. Let g be p(6). Suppose -5*l + 36 = g. Suppose 5*j + 5*b - 25 = 0, -4*j + 3*b - l*b + 24 = 0. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.34 - -412.34. Let d = 95 - h. Let u = 316.99746 + d. What is u rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*1018317\nAnswer: 1731138.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.290308nm to kilometers.\nAnswer: 0.000000000000290308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 1205 + 1205)*(2*n + 21 - 21 - 2*n**2) to b*n + g + l*n**3 + d*n**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10*o = 7*o, -3*u = 3*o. Suppose u = -34*z + 36*z. Let m(k) = -2*k + 4. Let s(p) = -5*p + 8. Let v(a) = -7*m(a) + 3*s(a). What is v(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b + 6. Let v(m) = -80094 + 80094 + m. Give g(n) + 3*v(n).\nAnswer: -n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g - j - 471 = 0, -5*j - 265 = 3*g. Let c = g - -115. What is the greatest common divisor of 50 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 9 = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j - 128. Let h(c) = -7*c + 142. Let r(d) = -9*b(d) - 8*h(d). Suppose -t - 10 = -l, 0 = -t - 2*l - 1. Calculate r(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 6*k**2 + 2*k + 4. Let o(w) = w**3 - 24*w**2 + 43*w + 46. Let m be o(22). Suppose 2*g - h - 18 = -3, -3*g + 2*h = -m. What is u(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3678550552 to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -a + 25 + 14, -5*a + 315 = 4*n. Let k = -58 + a. Sort k, 0, -3.\nAnswer: -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 + w - 2. Let m(x) = 2*x**2 + x - 2. Give 6*m(u) - 5*q(u).\nAnswer: -3*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -1951.\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 1815 - 1835 = 7*z, -4*z = -c + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 121238 divided by -207\nAnswer: -121238\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28950452 is divided by 2895043?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320792000 rounded to the nearest 1000000?\nAnswer: 321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 12, m: 1}. Give prob of picking 1 y and 1 m.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8*m - 70 = 0. What is the nearest to 1 in m, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 10:41 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*p = 80*p + 2553 + 1032 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2*u**2 + 6 + (0 + 0 + 2*u)*(u + u - 3*u) + 3*u**2 - u**2 + 0*u**2)*(-1 + 1 - 2*u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u. Let m be p(-1). Suppose -m*d + 0 + 12 = 0. Does 8 divide (-48)\/(-9)*d\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 7. Let w be d(5). Let r(j) = -j - 11. Let q be r(-14). Solve g = -w*g + q*s + 27, g + 2*s + 7 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67 + 82 - 216)*(7 - 4 - 5 - 6*u) to the form k*u + b and give b.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 12*a - 2618. List the prime factors of a.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4048140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 7655*o**2 + 60395*o + 799575.\nAnswer: 5*(o - 1523)*(o - 15)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1104)\/(-690) + (-13272)\/(-5)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence immm when four letters picked without replacement from {i: 2, m: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117093012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6*(636012\/24)\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 3105 - 1263 = 0. Let m = 1822\/5 - p. Suppose m*j**3 + 0*j + 3\/5*j**2 - 1\/5 = 0. Calculate j.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - 118. Find u such that -6 + 2*u**3 + 5*u + u + 6*u**l - 8*u = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 + 7*w + 7. Let h(c) be the first derivative of -4*c**3\/3 - 3*c**2\/2 - 3*c + 1. Calculate 5*h(o) + 2*t(o).\nAnswer: -2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1201 + 9426. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 3*v**2 + 14*v + 19. Let g(p) = p + 1. Let y(r) = 6*g(r) - q(r). Calculate the remainder when 36 is divided by y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 1 + (73 - 65)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 26*j**2 - 2*j - 1. Let w be p(-1). Let c = w - 6. Suppose -c*v - 116 = -25*v. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1260 and -85\/21.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - 50*w**2 + 152*w + 23. What is c(3)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Let i = -843 - -1119. Let p = 280 - i. Calculate the remainder when a is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280018858 divided by -5594\nAnswer: 50057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 - b**3)*(1563 - 1563 + b + (2*b - 2*b + b)*(0 - 2 + 3)) to the form d*b**3 + m*b + h + x*b**2 + z*b**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12608847 and 303924.\nAnswer: 3999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1602*j - 1610*j - n + 62, 0 = -2*j - 3*n + 98 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017696286 rounded to five decimal places?\nAnswer: 0.00177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q. What is h(5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) - (-18)\/4. Suppose -9 = 3*l + f. Let q be 6 - 12\/4 - (1 + 6). Put 3, 0, q, l in decreasing order.\nAnswer: 3, 0, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 295?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 20*w + 14 + 1\/2*w**2 - 1\/3*w**3. Calculate i(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 340*q + 88065. Determine y(-259).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - g + 1. Let f(q) = 4*q**3 + 398*q**2 + 12157*q + 115203. Let z(a) = -3*b(a) + f(a). Factor z(m).\nAnswer: 4*(m + 18)*(m + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 50754.42 years?\nAnswer: 5075.442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4021354, -16085508, -36192432, -64342126?\n\"Answer: -4021385*c**2 + c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52219 (base 11) in base 4?\nAnswer: -102211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6400 - -6400. Is c greater than or equal to -35\/467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4 + 1302*w + 3 - 2641*w + 1340*w. Let j(t) = t**3 + t**2 - t - 1. Let z be j(0). Let f(q) = 2*q**2 - 1. Calculate z*f(o) + 2*i(o).\nAnswer: -2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 0, 1.9 in decreasing order.\nAnswer: 1.9, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-17)\/102).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 55?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + k**3 + k**3 + (0 + 0 - 2*k)*(-5 - 2*k**2 + 5))*(-6 + 3*k + 6).\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 14*d. Let v(y) = 43*y + 1. Let n(h) = 7*o(h) - 2*v(h). Give n(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(q - q - 2*q**2 + (-28*q + 5*q + 3*q)*(1 - 5 + 14)*(-3*q + 2*q - 3*q)).\nAnswer: -1596*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microsecond in nanoseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 516 - 28. Suppose b*x = 493*x - 5. Which is bigger: -4\/135 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 g when three letters picked without replacement from {r: 3, g: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 5*d + 6. Let l be h(4). Suppose -2*k - l*k = 0. Suppose k = 3*y + y - 80. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**2 + 3. Let l be x(-3). Let p be (8\/14)\/(1 - (-60)\/(-70)). Suppose -p*g + l = g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w + 9. Is j(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1 - 0.1. Let b = -5.015 + q. Let m = b - -0.0150102. Round m to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5 + 12*x**4 + 36*x**3 - 92*x**2 + 48*x = 0.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 - 485*t**2 + 1410*t = 0. What is t?\nAnswer: 0, 3, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 - 136.7. Let q = 1.3 - y. Let x = -10.9896 - q. Round x to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2. Let g(z) be the third derivative of z**8\/10080 + z**5\/10 + 5*z**2. Let h(r) be the third derivative of g(r). Give h(m(f)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2\/3))\/n)**(-49))**(-2\/3)\/((n\/(n\/n**1)*n*n)**(2\/7))**(-24) assuming n is positive.\nAnswer: n**(2668\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.152204927 rounded to five dps?\nAnswer: -0.1522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, -7, 33?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*a + 8 = 0, 0 = -3*r + 4*a - 3*a + 7. Is (0 + (6 - -2))\/r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 q when three letters picked without replacement from nnannnnqnnnnnnnn.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1972208 and 77?\nAnswer: 21694288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*s - 252*s + 5*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + 0 + (10 - (46 + -33))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 29. Suppose -u*m + 33 = -3*m. Does 11 divide (10\/3)\/((-2)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 next in -22, -66, -182, -406, -774?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-2)\/6*(0\/9)\/(-3). Which is the closest to -1? (a) 0.1 (b) m (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 7*y**2 + 6*y + 1. Determine b(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386 = -12*t + 10114. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/146217 and 41\/7173234.\nAnswer: 121944978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*d - 722*d = 1656*d - 175448 for d.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 3*k**2 + 0*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/153 greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/66 + 34032\/396. Solve 3*s + j - 89 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -323 or -325?\nAnswer: -325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 87573 - 175357 + 87608 + d**3.\nAnswer: 2*d**3 - 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, k: 2, s: 5, f: 8, y: 3, e: 1}. What is prob of picking 1 t, 1 e, and 2 y?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11896 * 20.1\nAnswer: 239109.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 97*l + 1168. Give b(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1100366 (base 7) to base 2\nAnswer: 100000110111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*1)\/((-6)\/66). Suppose -10*c = -s - 19. Solve 3 = -c*z + 5*y, 2*z - 4*y + 2*y = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - 2*g**2 - 2*g. Let f(y) = 9*y**3 + 8*y**2 + 11*y + 106. Give f(t) + 4*i(t).\nAnswer: t**3 + 3*t + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 - 2*z**2 + z. Let t be f(1). Does 3 divide ((-5)\/((-5)\/8))\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*2\/2 - -13. Suppose -l = -3*m + 2*m. Let w be (-4 + -10 + 3)*(-41)\/(82\/8). What is the greatest common factor of w and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 1380100.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.7 - 5.3. What is the biggest value in -2\/3, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 9. Let w = -71 + 128. What is the remainder when w is divided by f(10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -11. What is the nearest to -1\/2 in p, -2\/5, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**0)\/(n\/(n\/(n*n**2))))\/(n**(-2\/7)*n*n**(-9)))**(-50))**(-5\/6) assuming n is positive.\nAnswer: n**(5500\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 58. Let g = n - -23. Suppose -g*p + 177 = -59. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -300*m**2. Let z(s) = 5*s**2. What is i(z(v))?\nAnswer: -7500*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzplzzczzzczzlzzcc. Give prob of sequence ll.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.76831 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-7))\/(h\/(h\/(h*h*h\/(h*h*h*h**(5\/2))*h*h))))\/(h**(-7)*h*h**(2\/5)) assuming h is positive.\nAnswer: h**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160017178.\nAnswer: 2, 41, 1951429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/(-4))\/((54\/8)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 664357 (base 9) to base 12\nAnswer: 171807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 26867212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 3*m + 1. Let c(a) = a**2 - 4*a - 1. Let q(z) = 3*z**2 - 11*z - 3. Let b(i) = -c(i) + q(i). Determine 4*b(x) + 10*r(x).\nAnswer: -2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 5*v - 1\/24*v**3 - 1\/120*v**6 + 0*v**2 + 1\/48*v**4 + 0 + 1\/80*v**5. Suppose g(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + r - 1. Let x(z) = z**2 + 6*z + 7. Let m(k) = -k. Let j(a) = -6*m(a) - x(a). Let w(l) = 2*b(l) - j(l). What is w(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q**2 + 4*q - 7. Suppose -20 = -3*g - 2*g. Let c = -14 + 14. Let l(i) = -6 - 7*i**2 + c*i + 3*i + 2*i**2 + 0. Calculate g*j(m) - 5*l(m).\nAnswer: m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1247, 1300, 1353, 1406, 1459, 1512?\n\"Answer: 53*i + 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19845 take away 12?\nAnswer: 19833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(833) + -2)**2.\nAnswer: -84*sqrt(17) + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -4*l**2 - 3*l - 2. Let r(d) = -9*d - 4. Let y = 174 - 290. Let g = y - -109. Determine g*a(i) + 6*r(i).\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -42. Suppose i*g - 967 - 3303 = 0. Suppose 0 = 2*u - f - g, -f + 3*f - 610 = -2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**3 - 57*d**2 - 20*d + 99. Let m(j) = -8*j**3 - 65*j**2 - 21*j + 101. Let a(v) = -9*c(v) + 8*m(v). Find the second derivative of a(f) wrt f.\nAnswer: 48*f - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 7. What is the remainder when ((-36)\/10)\/((-1)\/k) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5728866 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 1:17 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**3 - 8*i**2 - 2*i - 2. Give b(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-2)\/(-15))\/(3\/(-15)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/10*165\/(-66)*(-8)\/(-10).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 440416019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295.73 + -5.27. Let l = j - -300. Put l, 1\/2, -12 in descending order.\nAnswer: 1\/2, l, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -7. Let s = -2.8 - -3. Let n be -2 - 3*1\/(-2). Sort s, n, q in descending order.\nAnswer: q, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113912956 is divided by 205?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/240858 and -7\/1204290?\nAnswer: 1204290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -674, 4, 3.\nAnswer: -674, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*p - 41383 = 0, 5*b - 101*p + 103*p - 68961 = 0. What are the prime factors of b?\nAnswer: 13, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r = -4*r + 104 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*v + 16*v + 1845. What are the prime factors of v?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-12)*(-3)\/22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30331309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11922854?\nAnswer: 2, 5961427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*j - 5 = -13, j = -5*z - 40. Let d(c) = c**3 + 11*c**2 + 9*c + 1. Let r be d(z). Suppose -3*g + 502 = 4*o, o - g = -4*g + r. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 63 + 17 = -4*t, -5*t + 17*d + 167 = 0. Solve 7 = 2*o - p, -5*o + t*p = 11*p - 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = v - 3*t, -2*v - 54 = 320040*t - 320037*t - 13 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -10 + (-4 - 0) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/9 - 1118*i**2\/9 - 6646*i\/9 - 5530\/9 = 0?\nAnswer: -553, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 - 42*p + 108. Let h be x(5). Sort -24, -3, 4, 17, h in decreasing order.\nAnswer: 17, 4, h, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) 1590 (c) 2\/15 (d) 5\/3 (e) 4 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tqtvtxvt.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - c - 9, v + 8 = -v - 2*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4650, 36527, 122808, 290619, 567086, 979335?\nAnswer: 1554492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*o + 37, 3*z + o + 9 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -1 - (7 - 274\/44). Let f = 3\/11 + o. Which is the third smallest value? (a) f (b) 0.5 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 2186\/13 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b)\/(b**(-3\/4)\/b)*(b**(-1)\/b)**(-1\/9) assuming b is positive.\nAnswer: b**(35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**4\/4 + 4*l**3\/3 - 3*l + 2. Let y be j(-4). Let z(k) = -4 + 0*k**3 - k**3 + 6 - 3*k**2. What is z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1533466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 g when three letters picked without replacement from bbgbgggbbgh?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 32. Suppose 4*n = n + w. Calculate the remainder when n is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278987473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*sqrt(7) + -3 - ((-1 + sqrt(7))*-5 - sqrt(7)))**2 + 1)*-2.\nAnswer: -1260 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 23*b**4\/12 - 2*b**3\/3 + 29*b - 30. Let w(n) be the first derivative of c(n). What is the second derivative of w(i) wrt i?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 0*g + 271*g**3 - 222*g**3 - 147*g**3.\nAnswer: -98*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18003 (base 10) to base 2\nAnswer: -100011001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 2, f: 2}. Give prob of sequence af.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/35*(-1650)\/49940*7. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 5. Suppose -4*j = -5*h + 10, 3*j + 0 = -5*h + 10. Suppose 2*z - 59 = c, -2*z - c + 133 = h*z. Calculate the greatest common divisor of y and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.0603 (b) 11 (c) -2 (d) -0.1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227322?\nAnswer: 2, 3, 73, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pps when three letters picked without replacement from pppppppspppppppppp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(1 + -2) - 26860\/(-17380)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167835392 a multiple of 1028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s**2 + s. Let h(l) = -2*l**2 + 3*l**2 - 6*l**2 + l + 0*l. Let t(b) = 2*f(b) - 3*h(b). Find n, given that t(n) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399856 and 2800.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*(-10 - -18). What is the lowest common multiple of y\/((-8)\/14) - -4 and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 7194.6\nAnswer: 35973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 3837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {q: 8, p: 1, b: 4}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*f + 1 - 61, -y = -f + 20. Which is greater: y or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1219 - 8529\/7. What is the closest to 1 in 5, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 556196 and 4220?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-8)\/2 + (-10 - -29). Calculate the greatest common factor of 1125 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 4:49 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*r - 7 - 5, -j + 5*r - 4 = 0. Let k be ((-4)\/(-5))\/(j\/(-10)). What is the second derivative of c + k*c**3 - 5*c**2 + 5*c**2 wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 3*s - 10. Calculate the remainder when x(5) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856660 a multiple of 940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501 = -76*a + 3*x + 258, 34 = -3*a + 5*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 528739079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 128b?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -1585, -4894, -11337, -21958, -37801, -59910?\nAnswer: -89329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 + 7 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*d = -213*d - h + 4, -d - 28 = -2*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2\/21, 155.2355 in increasing order.\nAnswer: -6, 2\/21, 155.2355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1997642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43\/4 of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121220312 + 33313?\nAnswer: -121120333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/9 and 103\/2436.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a01 (base 15) in base 6?\nAnswer: 14231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301468.2 millilitres to litres.\nAnswer: 301.4682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -383, -382, -381, -380?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85830 is divided by 17153?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1466, -1472, -1486, -1514, -1562, -1636?\n\"Answer: -g**3 + 2*g**2 - 5*g - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74899 and -0.01.\nAnswer: -748.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6576275 + 6576275 - 2597*m to x*m + s and give x.\nAnswer: -2597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6485.79 meters to micrometers.\nAnswer: 6485790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 3. Let v be i(2). Let f = 154 + -1539\/10. Do f and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 + 19 = 0. What is the units digit of 57\/r - (-4)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -4\/69 (c) 7 (d) 2\/11 (e) 1.19 (f) -0.1 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 39 - 39)*(-5 + 1 + 2)*(36*l - 28*l - 20*l).\nAnswer: -1488*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r - 3*q + 63, -2*r + q + 29 = 0. Suppose v - 4*h = 31, 4*h - 9*h - r = 0. Calculate the remainder when 56 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.20655 - -0.207. What is a rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*s + 4, -n - 2*s - 8 = -5*s. Suppose 5*y + 0 - 15 = 0, -5*m - 17 = y. Let x be 2\/(-8) - 5\/m. Solve 0 = -a - 0*a + n*k - x, -a = -k + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/387810 and -47\/12510.\nAnswer: 387810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-15)\/(-6))*-2. Suppose -2*u + 3*u - 4 = 0. Solve v = t*s - u*v + 10, s + 3*v = -14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 7*z - 4*z)*(0 + 0 - 2*z)*(4 + 0 - 2).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43052900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 293*h - 29086. What is l(99)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**2 - 34*i + 196. Let p be v(7). Solve -4*b - p = 39*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5857693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*-3*3\/6. Suppose 0 = -7*m + q*m + 20. Suppose m*h + 2*u = 280, 5*h = 2*u - 60 + 360. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/27))\/(s**(-1)*s))**47 assuming s is positive.\nAnswer: s**(1363\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Suppose 36 = x*w - w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 12:06 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x. Let h(k) = 6947*k**2 - 322*k. Calculate h(z(b)).\nAnswer: 62523*b**2 + 966*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 7 - (0 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16720*x + 1 - 1323*x + x**2 - 1903*x.\nAnswer: x**2 + 13494*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 7:23 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*n + 353 = 1703 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 12 = 6*o. Suppose o = -7*t + t. Does 8 divide t + (95\/(-20))\/(1\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3672.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -729, -939, -1147, -1353, -1557, -1759?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3340 = 4*q, -103*d + 99*d - 1648 = -2*q. What is the greatest common divisor of 26 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 44950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9600 - -9625. Calculate the remainder when 1131 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 13. Suppose -c*i - 5*q = -267, -5*q + 0*q = -4*i + 459. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8215284 divided by 97801\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 566, 1133, 1702, 2273?\n\"Answer: l**2 + 564*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/4*(-41)\/((-1271)\/(-124))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 644*n - 291*n + 352*n + (-1 - 4 + 4)*(-2 + n + 2) - n + n - 4*n + n - 2*n - n to v*n + x and give v.\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*s + 3, 4*s - 2*s - 47 = -5*n. Let g = s + -4. Does g = 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/30)\/(9043\/1808 - 5). Let t = -16067\/90 + x. Let j = -434\/5 - -967\/15. What is the common denominator of j and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-3)\/(-1)) + 1. Are t and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s\/s**(1\/6))*s)**(-40)*(s**(-2\/13))**(-2\/63) assuming s is positive.\nAnswer: s**(-38216\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*i = -62, -6*f + 64 = -2*f - 4*i. What is the smallest common multiple of f and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.163 - 2.837. Let i = 0.3 + -0.3. Which is the nearest to g? (a) i (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -88. Is b at most 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 753 + -692. What is the remainder when 243 is divided by v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1578418*b - 3159638*b + 1579614*b.\nAnswer: -1606*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -238 (base 16) to base 6\nAnswer: -2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 4:17 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535944266?\nAnswer: 2, 11, 13, 313, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -486 + 470. Let y(t) = -6*t. Let x(z) = -z. Determine v*x(h) + 3*y(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 1194, -4 in ascending order.\nAnswer: -6, -4, -3, 1194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20924?\nAnswer: 2, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*z + 5*z - 46, -5*z - 5*w + 50 = 0. Solve -m - m = -z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 0 - 1\/5*m**4 + 0*m**3 + 1\/5*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65378803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Suppose 5*j - 2*j - 33 = l, 2*j - 26 = c*l. What are 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 the difference between 373 and 19531979?\nAnswer: 19531606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 l when four letters picked without replacement from {l: 7, j: 2}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -74784.2638 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:52 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 32 + 54. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*h - 288, -h - 64 = 10*d - 11*d. Find the common denominator of (-10)\/15 + 21\/h*-1 and 31\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 3d?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:49 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 9:19 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1) + (-1 - -2). Suppose 348 - 388 = -10*m. Suppose 1050 = m*h + y*h. 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 the remainder when 317 is divided by 72?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -25?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/724 + -136\/181. Let j be -2 - ((-8694)\/(-620))\/(-7). Let c = j - -613\/2170. What is the second biggest value in c, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*0.48.\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**4 + 473670*t**3 + 4262700*t**2 + 7104250*t - 11840625 = 0. Calculate t.\nAnswer: -94725, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 4, -1, 5, -5, -3 in increasing order.\nAnswer: -5, -3, -1, 4, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.67 (b) -4 (c) -3 (d) 161 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {z: 2, l: 1, k: 2, r: 7, d: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 11*y**2 - 8*y + 18. Let j be r(-10). Is j != -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a = 63*a - 468. Let z(n) be the first derivative of -a*n - 2 + 1\/2*n**2. Determine z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/7? (a) -2\/5 (b) -2\/3 (c) 0.2 (d) 6 (e) -215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.8 + 11.8. Which is the smallest value? (a) -11 (b) 2\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120031501 (base 6) to base 2.\nAnswer: 1000100011110010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41\/30 - -47\/30. Let g be -1 + (-1)\/((-14)\/8). Put k, -3, g, 1\/7 in ascending order.\nAnswer: -3, g, 1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.1. Let f = 557 + -559. Is t bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23.29 and -12462294?\nAnswer: 12462317.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 2. Let c(s) = 4*s + 9. Let b(v) = -2*c(v) + 9*o(v). Let m(g) be the third derivative of g**4\/12 + g**2. Calculate m(b(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6*0.41.\nAnswer: -1.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1107, -2212, -3317?\n\"Answer: -1105*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6337, 1.9, -1?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Let m(d) = -5041*d**2 + 2521*d**2 - 72 + 2532*d**2. Calculate m(f(x)).\nAnswer: 12*x**4 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10 = 5*i, 3*n - 1 - 3 = 4*i. Let b = 5 - i. Let g be (-3 + 5 + -2)\/1. Solve b*w + 3 = -g*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*w + 184 = 0, 2*y - 60 = 3*y + w. Let g be y\/(-10) + (-2)\/5. Solve 5*x + 1 - g = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-148)\/36*1\/(-3) and ((-17)\/85)\/(102\/(-545)).\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 159, 160, 161, 162, 163?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.50255ml in litres?\nAnswer: 0.07950255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(112) - sqrt(112)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 12*c**2 + 19*c + 20. Let x(g) = 5*g**2 + 10*g + 8. Let o(y) = 2*s(y) - 5*x(y). Factor o(n).\nAnswer: -n*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 12 - 2. Suppose 0*c + 4*s - 222 = -b*c, -219 = -2*c - 3*s. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1578 - -1589. Solve -5*l = 3*k - 2, 3*l - 6*k + 2 - v = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 444 = 3*o - 2*o, -u - 4*o = -72. Let d(w) = 3*w**2 + w - 2. Let q be d(-2). Calculate the highest common factor of q and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l + 17. Let f be z(-8). Let i = f - -18. Let d = -6 - i. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72030399.\nAnswer: 3, 7, 41, 269, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 7. Let m be g(3). Let o be (-962)\/(-12) - m\/(-12). Suppose 4*r - 20 - o = 0. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 47*s - 53*s. Suppose 8*l - 40 = s*l. Let o be 19\/76*l\/(-17). What is the second smallest value in -9, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -464432.\nAnswer: -1857728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 2)*(4 + 9). Let v = 5 - 1. Suppose -c + p = 3*f, f - 65 = -c - v*c. Calculate the remainder when 38 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*u + 0 = 2, 3*i = 5*u + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 + 5*s**4 + 5*s**4 + (2*s - 4*s + 4*s)*(-s**2 - 2*s**3 + s**2) + 176 - 176 + 49*s**4 to the form y*s**2 + o*s**3 + w*s + z*s**4 + k and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -216\nAnswer: -1\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {f: 3, u: 1, w: 4, i: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 292, 223, 36, -329, -932, -1833, -3092, -4769?\n\"Answer: -10*v**3 + v**2 - 2*v + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -437, -517, -579, -623, -649, -657?\n\"Answer: 9*c**2 - 107*c - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-5)\/(-25) - (-2)\/(-10). Put l, 0, 0.3, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44387670 divided by -6\nAnswer: -7397945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-12)\/t)*t*t**(1\/7)\/t*t**(4\/5)\/t**(-6) assuming t is positive.\nAnswer: t**(733\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24868897181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 48, 58, 88, 144, 232, 358?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/9 and (-6)\/(8820\/(-574))*(-2)\/(-3)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267202*l**3*m**3 + 320*l**3*m - 329627*l**2*m + 732*m**3 wrt l.\nAnswer: 1603212*m**3 + 1920*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9922 + -16150. Let t = 507 + -4682. Let n = t - w. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g + 34 + 1852*g**2 + 865*g**2 + 4 - 36*g + 1244*g**2 wrt g?\nAnswer: 7922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1342 (base 13) to base 3.\nAnswer: 10210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -5. Suppose -4*r + 34 = 2*d, -3*d - 2*d = -5*r - 160. What is the smallest common multiple of -7 + (-76)\/s + 22\/6 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/23, -9, 24?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17 - 10 - 6\/(2 + 1). What is the second derivative of -26*o + 4*o**2 + 8*o**2 + o**2 - f*o**2 wrt o?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 6*x - 6. Let c be p(-4). Let h(q) = q - q**3 - c + 2*q + 0 - q**2. Is h(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.9.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -5*k**3\/6 + 4*k**2 + 128*k. Let z = 19 - 13. Suppose l + 4 = -3. Let m(n) = -6*n + 9. Give l*r(f) + z*m(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 + 863*k**2 - 18521*k + 4966. What is v(-452)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 169*a - 157*a. Suppose 9*v - 7*v + 6 = 0, a = -o - 4*v. Let f(z) = 2*z**2 - z + 3. Determine f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 550 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2482 is divided by 822?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 57861 + 57798 - 115657.\nAnswer: 8*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.4, 0.02, -0.2, -4, 6\/13 in increasing order.\nAnswer: -4, -0.2, 0.02, 6\/13, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1363*n = 1381*n + 5*f - 92, 2*n + 3*f + 3 = 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -1 + -13 + (0 - -6) - 8) + 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 24 = 3*t + 5*i, -12 = 2*t - 5*i. Let h(f) = f**2 + 5*f - 5. Calculate h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34600 and 4498.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 56 + 10*f)*(149 + 90 - 23).\nAnswer: 2160*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134901 + 30.\nAnswer: 134931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p = 160. Suppose 5*w = 4*j - 214 + p, -52 = -j - 3*w. Let v = j - 15. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 1, k: 4, e: 1, c: 2}. Give prob of picking 1 n and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3*1*92\/(-230)*355\/(-1136)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 502315 and -5.31?\nAnswer: 502320.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -11*k. Let q = 2 - k. Let i = q + 1. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01158047518 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5 times -1270?\nAnswer: 9525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**2 + 423*n + 1982. What is g(112)?\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11888432 divided by -4.\nAnswer: -2972108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -105 or -110?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*h**2*x**3 + 9*h**2*x - h**2 + 2*h*x**3 - 7155*h*x**2 - 2*h - 2*x**2 wrt h.\nAnswer: 250*x**3 + 18*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 1\/2 - 1\/3*o - 1\/6*o**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12535724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a - 2*a**3 + 42*a**4 - 5*a + 28*a**4 + 12*a - 457*a**2 wrt a?\nAnswer: 1680*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 36. What is the remainder when 13 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9, -2\/11, 2\/149, 1.2, 4?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-40))\/((-5)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1550 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 8. Let k be x(-11). Let z = 146 - 102. Is (k\/6)\/(2\/z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -558, -4142, -13656, -31998, -62066, -106758?\n\"Answer: -483*g**3 - 67*g**2 - 2*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 5, -3, 1, 21, -2 in increasing order.\nAnswer: -3, -2, 1, 2, 5, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 16. Let q be (-36)\/(-16) + (-2)\/8. Let t be q - 0 - (0 - 2). Solve n - t = -j + 2*j, -j + c = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2318 - 2318 - 2*w**2 + 12*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73\/3 + -24. Which is the nearest to d? (a) 2 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 80 in decreasing order.\nAnswer: 80, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 189\/12 + (-2)\/(-8). Suppose -4*r = 2*d + y, 0 - 4 = 5*d - 2*r. Let i be (1 - 2)\/(d\/10). Solve i*m - m = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**5\/510 + n**3\/51 - 83*n**2. Factor v(s).\nAnswer: -2*(s - 1)*(s + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/10, -2\/5, -4, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2638310, 10553215, 23744722, 42212831?\nAnswer: 65957542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*d**3 + 40*d**2 - 40*d**2.\nAnswer: 353*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1761 = 696. Suppose 4*o - k = -167. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78670204, 157340406, 236010608, 314680810, 393351012, 472021214?\n\"Answer: 78670202*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7302116 divided by 4?\nAnswer: 1825529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56006 + 80806. Suppose 4*p - f = -16*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933472283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.50969 months in decades?\nAnswer: 2.38758075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 724444 to the power of 1\/2, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016110987 rounded to 6 decimal places?\nAnswer: -0.001611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4340805603.\nAnswer: 3, 18433, 78497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 17*c**2 + 4*c + 7. Let i be k(6). Is 643 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q + 44*q + 10 = 0. Solve h + w - 16 = 5*h, -q*h + w = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201016232?\nAnswer: 2, 307, 81847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/((-185)\/74).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 4*m**2 + 15*m + 20. Let p be r(-8). Which is greater: -355 or p?\nAnswer: -355","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*b**3*d*r + 4*b**3*d + 527*b**3 - 3166392*b**2*d*r + b**2*d + 2*b*d + 448*d - 1 wrt r?\nAnswer: 48*b**3*d - 3166392*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -24, -9\/2, -6\/23, -5 in descending order.\nAnswer: -0.1, -6\/23, -9\/2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1964? (a) -2\/7 (b) -504 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -713711*y + 3666*y**2 + 713711*y - y**2 - 2*y**2 + 5*y**2 + y**2 + 1 - 1 + (2 - 2 - 1)*(0*y**2 - y**2 + 3*y**2).\nAnswer: 3667*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44534*p**5 + 4831*p + 2 wrt p.\nAnswer: 890680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -3.6. Let x = 47\/52 - 2\/13. What is the nearest to -1 in y, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 45. Let o be g(27). Suppose -4*f = -i + 31, -2*i + 5*f = -56 + o. What is the remainder when 41 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -529.5 + -13.5. Let f = m - -543.0000339. Round f to six decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 37 - 6)*(-2*h + 2*h + 2*h + 1 - 1 - h + (h + h + 0*h)*(0 + 0 - 2) - 2*h + 5*h - 4*h - h + 1 - 1).\nAnswer: 170*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8 + 37 - 11 + 331*v + 25 + 47. Is q(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 301 + -10?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/58443 and -123\/3388?\nAnswer: 233772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + -24d?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n + 123 - 375 = 100 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**8*d*d*d)\/(d**(-3\/5)*d*d*d)*(d*d\/(d\/((d*d*d**(-7))\/d)*d))\/(d**8\/d) assuming d is positive.\nAnswer: d**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64456830?\nAnswer: 2, 3, 5, 238729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(108) + -5 + 2)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/9*9\/(-6). Suppose 3*i + 13 = 37. Let n = i + -13. Sort n, s, 1 in decreasing order.\nAnswer: 1, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 - 10901796*q - 65410800.\nAnswer: 2*(q - 16352700)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -358*l + 131 wrt l?\nAnswer: -358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**3 - 4*w + 3. Let j(b) be the third derivative of -b**4\/24 + 2*b**2. Let z be j(-3). Let x(y) = -11*y**3 - 9*y + 7. Give z*x(s) - 7*v(s).\nAnswer: 2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319172 and 3759.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*1\/2 + -4. Let p be (-1 - (-1)\/2)*n. Let m be (-9)\/(36\/(-28)) + 5 + -12. Solve 6*g - p*g + 16 = m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045864?\nAnswer: 2, 239, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 - 207. What is the closest to l in -1\/2, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 12. Let r be x(-12). Let v = 13 + -8. Suppose 0 = 5*d - 5*w, -2*w = -3*d + 4*d - 9. Solve d*b + v + 7 = r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*k + 3*k. Suppose 2*i - 437 = b, 3*i - 443 = i - k*b. What is the tens digit of (2 - i\/9)*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 4 - (0 - (2 - -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2378124 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 9, t: 10}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 - 5 + 5)*(5*p + 2*p - 4*p + (-1 - 3 + 6)*(-16*p + 24*p - 12*p)) as m*p + h + r*p**3 + w*p**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -195\/758 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320192 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 + -0.5. Let b(h) = 195*h - 5456. Let o be b(28). Sort o, z, -5, 5 in decreasing order.\nAnswer: 5, o, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106692995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4375?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80138 + 80086.891. Let i = -0.109 - r. Let z = -50.03 + i. What is z rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p - 23*p - 56 - 209 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 21*m - 5. Let k be i(-15). Suppose 2*s - 29 = k. Suppose 7*p = 2*p + t + s, 2*p - 24 = t. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19809200 to the nearest 100000.\nAnswer: -19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**3 - 8*q**3 + 2*q**3)*(q - 4 + 2 - 7) in the form x*q**4 + s + y*q + c*q**2 + w*q**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110033 - 3?\nAnswer: 110030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87275975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 952 + 4*n**3 + 3*n - n**2 - 952 to a*n**3 + d*n**2 + z + s*n and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 205 = f - 2*f, f - 45 = h. Let m = -30 - h. Let r(b) = -12*b - 2. Let c be r(-6). Calculate the greatest common divisor of c and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**3\/3 - b. Suppose 0 = -0*y - 8*y + 16. Let w(v) = 42*v**2 - 8*v**y - 7*v**2. What is w(l(c))?\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.85 - -2.15. Which is the nearest to 2? (a) 1\/3 (b) 6 (c) 2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3.85 (b) -14 (c) -7.91 (d) 1\/4 (e) -4\/3 (f) 3 (g) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76507.\nAnswer: 76507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(6 - 5 - -5). Let z be ((-40)\/l)\/(3\/9). Sort 2, z, -13, 1.\nAnswer: -13, 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 + -82. Solve -3*x - 1 = -c, k*c + 9*x - 4*x = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3 = 7. Suppose 4*b - n - s = 5, -5*b + 2*n + 5 = 0. Suppose -70 + 10 = -b*x. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 70?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*(-12)\/(-4). Let a be u\/(-3) - (-4)\/6. What is the derivative of 2 - b**4 - a + 2*b**4 wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/3 (b) -26 (c) -6 (d) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*o = -256 - 380 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2478\/(-1416))\/((-1)\/(-2))*8\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -15\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 0. Let t(v) = v**3 + v + 4. Let n be t(g). Differentiate -5 - 7*o**4 + 0*o**n + 6*o**4 wrt o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.062 in -354, 0.01, -1, -8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 47*j**3 - 112*j**2 - 169*j + 8. Let a(y) = -12*y**3 + 25*y**2 + 42*y - 2. Calculate -9*a(w) - 2*s(w).\nAnswer: 14*w**3 - w**2 - 40*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 708 + -497. List the prime factors of o.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*o, -3*o - 10 = -2*c - 0*o. Suppose -c*v - 445 + 29 = -x, -2*v - 834 = -2*x. What is the highest common factor of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8931913 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 85 = 4*x. Find the first derivative of -28 + x*y - 7 + 20 wrt y.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) - -3*sqrt(5)*1)*-3 - (((sqrt(405) + 1 - sqrt(405)) + sqrt(405) - sqrt(5)) + (sqrt(5) + sqrt(20)\/sqrt(4))*5 + sqrt(5))) + -3)**2.\nAnswer: 248*sqrt(5) + 4821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*o**4 + 6294*o**2 - 15 - 6300*o**2 + 94*o**4 - 2*o**3 as i*o + s + a*o**2 + x*o**3 + k*o**4 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.7 + 36.6722. What is y rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 4*d - 18, -5*c - 566*d = -570*d + 45 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/27, 58\/9, 1\/423, 0.4 in decreasing order.\nAnswer: 58\/9, 0.4, 1\/423, -5\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2957*r = -117821 - 80298 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(2)*1 + -5)*2)**2 - ((-1*sqrt(50))**2 + -4)*-6.\nAnswer: -40*sqrt(2) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/3)*w)*w*w*w**(-1\/3)*w*w*(w*w\/(w\/w**1))**(-46))**34 assuming w is positive.\nAnswer: w**(-8942\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10148851771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 4*m - 66, 180*h - 363*h + 176*h = 4*m + 261 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/17)\/(m\/((m\/(m**14\/m*m))\/m)) assuming m is positive.\nAnswer: m**(-257\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37623 - -37621. Let z(n) = -5*n - 9. Let l(a) = 9*a + 19. Let h(d) = -4*l(d) - 7*z(d). Let x be h(-8). Sort 10, x, -4, c in decreasing order.\nAnswer: 10, c, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhppphphhhhhhp. What is prob of picking 1 p and 2 h?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 391. What is the fourth biggest value in 3\/7, o, -1, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*p + 106 + 82, 66 = p - 2*l. What is the remainder when 65 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.091 - 22.091. Which is the third biggest value? (a) -5 (b) s (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.076 + 1.076. What is the nearest to -3 in 4, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*l - 5*t, 11 + 4 = -5*l - 2*t. Let w(r) = -r + 2. Calculate w(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 28*r - 7 = -29*r, -8 = 4*v - 3*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 792 and 1220?\nAnswer: 241560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**7*q**13 assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.892857 minus 7?\nAnswer: -36.892857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09026998 and -34.81?\nAnswer: 34.90026998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 23\/22, -34 in decreasing order.\nAnswer: 23\/22, -1\/9, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-130))\/(15\/39)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 3*p + 2. Suppose -2*d = -3*d + v, 4*v = 16. Suppose -d*w - 12 + 0 = 0. What is g(w)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(3\/((231\/(-28))\/11))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -3*f + 42790. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-127 + 4*p + 127)*(2 + 0 + 0) + (-3 + 5 - 4)*(-p - 2*p + 5*p) - p - 3*p + 3*p + 2*p - 2 + 2 as x + c*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 - 4*m**4 + 6*m**4 + (3 + 0 - 4)*(-4*m**4 + 3*m**3 - 3*m**3) + 3*m**4 - 4*m**4 + 4*m**4 + m**4 + m**2 - m**2.\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 403*n - 303*n - 4*n**3 - 260*n - 188*n**2 + 1104 = 0.\nAnswer: -46, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 941.8962 days?\nAnswer: 81379831680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (9 - 2)) + 35 + (-1 - 4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 12:38 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052*p - 1052*p - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6487873842?\nAnswer: 2, 3, 53, 20402119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*((-15)\/10 - -1). What is the lowest common multiple of 17 and g - 10*1\/(-2)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2838, 11065, 24778, 43977, 68662, 98833?\nAnswer: 134490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 4*n**2 - n + 2. Give r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 - -6 - (-1956 + 1895)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**2 + 2*v**2 + 4*v**2)*(-9 + 13 + 0) in the form u + c*v + s*v**2 and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p**2 + 41*p + 960. Give u(-9).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-45) - (-20)\/45?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.81 times 1.6\nAnswer: -2.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + 4 + (2 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.4 rounded to 0 decimal places?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -26816 greater than 463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -20. Suppose -d*h + 28*h = 138. What is the smallest common multiple of h and 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -20, -46, -82, -128?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 5*l**2 + 2*l + 4. What is k(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 + 268*h\/9 + 2480\/9.\nAnswer: 2*(h + 10)*(h + 124)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48, 53, 54, 51?\n\"Answer: -2*t**2 + 11*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13075 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*g*r**4 + 227558*g*r + 2784*r**5 wrt r?\nAnswer: -144*g*r**2 + 55680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*p**4 - 4772*p**3 - 3*p**2 - 46169*p.\nAnswer: 240*p - 28632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5424 and 73224.\nAnswer: 146448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chcn when four letters picked without replacement from hncncccncnh.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 427453212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930068 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2 - 3 + 0 + 7*y**3 + 2*y - y**2. Let j be l(1). Suppose -n - j = -9. Solve 0 = -s - n*q - 0*q - 7, 4*q + 19 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 5096960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1\/2)*i)\/i*(i*i**0)\/i*i**7\/i*i*i**(-1))\/(i**(-2\/31)*i\/i**(-9\/2))**(-16) assuming i is positive.\nAnswer: i**(5857\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*a + 3*a + 2000*a**2 - 2001*a**2 as w*a + f*a**2 + x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.4 + -2.6. Let m be 2\/5 - (-24)\/(-35). Are m and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/4)\/((h**(-1\/31)\/h)\/h))\/(h**(-1\/2))**(-6\/7) assuming h is positive.\nAnswer: h**(2911\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*d + 470 + 240 = 9*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 340?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5940 bigger than 5860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 228 = 3*v. Suppose -3*z = 12, v = -5*x - 2*z + 1045. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665891254?\nAnswer: 2, 7, 73, 491, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -2, -483, -3, -114 in descending order.\nAnswer: 10, 5, -2, -3, -114, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1031466 and 24357?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -13. Let i = j - 13. Let o = -81 + 80. Put 2, o, i in descending order.\nAnswer: i, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 4:53 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 - 305*u**2 - 99*u**2 - 47 - 340*u**2 to p*u**2 + r*u + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 10*c - 20. Determine q(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(2 - 2 - 4*y**4).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 10204373.\nAnswer: 19\/10204373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20713336 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 5123.\nAnswer: -14\/5123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b1640 - 4?\nAnswer: 4b1638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by 36802\nAnswer: -135\/36802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.66 + -3. Let m = t + 0.14. Which is the nearest to -39? (a) -2\/3 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3341 - 3342. What is the fourth biggest value in v, -3, -86, -0.5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-8) + (-1060215)\/(-130)?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1 + 0 + -1. Suppose 1509 = -32*j + 549. What is the units digit of (290\/j)\/(p\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 298 - 277. Let l = 67 - 70. Which is the second smallest value? (a) -4 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 3*m**2 + 4*m - 3. Let k be (4\/(-7))\/((-4)\/14). Let o be q(k). Solve -2*g - 7 = -o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 524168 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3302 + 17202. List the prime factors of r.\nAnswer: 2, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350459*0.41.\nAnswer: -143688.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6) + -240 + 223 + 2\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + k = 36, 40*k + 300 = 69*m + 35*k - 410 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*v = 406 - 12614. Calculate the highest common factor of 14252 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-4*(-4)\/(-64).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiitiiiuuu. What is prob of picking 1 h and 1 t?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45958754 rounded to the nearest 10000?\nAnswer: 45960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -117, -35, 0, -4.\nAnswer: -117, -35, -4, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_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: (-8 - 3) + (-928)\/(-87)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-2)\/12 - 406\/(-21). Suppose 0 = 15*t - c*t + 108. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -858*z + 430*z - 2*z**3 + 5*z**3 + 434*z.\nAnswer: 3*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngtn when four letters picked without replacement from {n: 2, g: 9, t: 5}?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + l + l**2)*(2 + 0 - 1) - 29*l + 29*l + 6*l**2 + 3*l**2 - 2*l**2 - 3*l**2 + (l - 3*l + 3*l)*(-1 + 2*l + 1) to q + b*l + h*l**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -2*l, 4*l - 32 = v - 2*v. Suppose v = 4*u, -4*g + 4*u + 29 = 3*u. Let r be 3\/((-18)\/8 - (-3 - 0)). Solve 0 = -r*i + g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7534845 is divided by 2956.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -318 + 82*p - 327 + 645. Let z(a) = 4*a. Determine z(o(g)).\nAnswer: 328*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 42, 0, 218 in ascending order.\nAnswer: 0, 4, 42, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528052 = d + 4*d - 3521937. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -474 by 1109.\nAnswer: -474\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 13 + 3*o + 15 + (0*o - 4*o + 2*o)*(-3 + 5 - 3) + (3 + 2*o - 3)*(-3 - 1 + 2).\nAnswer: o - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 131? (a) 5 (b) -4\/3 (c) 0.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.48666 millilitres to litres.\nAnswer: 0.04348666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80.95 - -39.4. Let l = 0.55 + b. Let s = l + 40.999973. What is s rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.75 + 38\nAnswer: 32.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s)\/(s\/((s\/s**1*s*s)\/s*s*s))*(s**2)**40*(s**(-1\/5)\/(s*s**(-3\/2)))**(-8\/15) assuming s is positive.\nAnswer: s**(2146\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iississ. What is prob of sequence si?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3198760 = 2904*k + 15410*k + 714*k + 1124708 for k.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2*d = 30, -768*p + 3*d = -770*p + 88 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14787?\nAnswer: 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 14 = -8*n. Let w(g) = -g + 1. Let k(u) = -3*u + 2. Let c(s) = -6*k(s) + 17*w(s). Let f be c(n). Is -1 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - ((-3 - -1) + 5). Let h(a) = -2*a + 1. Let p be h(x). What is the greatest common divisor of 12 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*j, 4*b + 2*j - 14 = 8. Suppose b*f = -3*n - 0 + 14, -n = -5*f + 2. Solve 2*v - n*v = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 213*b + 218*b, 2*b + 2 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 1187 = -2*a + 1171, -9*j + 5*a + 118 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(-2)\/((-3)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**5*x + 1421*f**4*x**3 - f**2*x**2 - 232*f*x**3 - 4*f wrt f?\nAnswer: 300*f**2*x + 34104*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 14*y + 5. Suppose 0 = 4*r + 3*k - 15, -11*k - 18 = -2*r - 9*k. Let w be a(r). Let o be 71\/5 - 6\/30. Is o at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((-1035)\/6)*-10*21\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 17. Let c be v(-7). Solve -5*t = 2*q - 9, c*q - 7 = -t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 39897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*-4*12\/(-112)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11524552 + -642?\nAnswer: 11523610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 12) to base 16.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 73618281?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**3 - 97*c**2 - 4*c + 47. What is k(-14)?\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/10*(-45)\/(-6). Let d = m + -6. Which is bigger: d or 5\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2959472\/21 or 140927?\nAnswer: 140927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*d + 147*d - 356*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 5:47 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 289731 - 83700. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 5635816*z - 1985151374116.\nAnswer: -4*(z - 704477)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0.3, -2\/11, -5, 771\/274 in descending order.\nAnswer: 19, 771\/274, 0.3, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 204*i**3 - 1197*i**2 - 1782*i.\nAnswer: -i*(i + 3)**2*(i + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 878268?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3645) + (sqrt(3645) + (sqrt(3645)*1 + sqrt(3645) - sqrt(3645)) - sqrt(3645)) + sqrt(3645))\/(-1*(sqrt(9)*1 + sqrt(9))).\nAnswer: -27*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*k = 479 - 44 + 982 + 1047 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4 - (-1)\/(-10)*(-21045)\/(-138).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -44 - -150 - (-18 + -7)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/87, 2, -0.076, -0.1 in ascending order.\nAnswer: -0.1, -0.076, 1\/87, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = -0*h. Let g be (h\/(-10))\/((-11)\/(-55)). Do -0.2 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 2 k when four letters picked without replacement from {m: 1, u: 8, k: 2, a: 7}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gguu when four letters picked without replacement from {u: 2, g: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 + 3*r**5 + 4*r**4)*(0 + 0 + 1) + (-17*r**5 - 29*r**2 + 61*r**2 + r - 35*r**2)*(4 - 1 - 1).\nAnswer: -31*r**5 - 6*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8379 = 79*n + 10038 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 3*r**2 - 7*r - 10. Let q be u(-4). Solve 0*w + w + q = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1. Let b(h) = -h + 52. Let v(j) = -2*j**2 + 218*j - 4. Let o be v(0). Determine o*t(x) - b(x).\nAnswer: x - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/42 and -58\/411?\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734325 is divided by 9037.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 29*q**2 + q**3 - 3104*q - 3 - 46*q**2.\nAnswer: 2*q**3 - 75*q**2 - 3104*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 58. Let s be (2 - 3) + f + 0 + -1. Let q(z) = z**3 + 2. Give q(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gggggggggdgg.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 1. Let i(n) = 377*n - 59*n - 123*n - 142*n. Give z(i(d)).\nAnswer: 106*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 plus 8929476?\nAnswer: 8929797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(2*z + 0*z - 3*z) - 6*z - z + 4*z)*(-153 + 75 - 100).\nAnswer: 178*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 - 413860*h\/13 + 1241598\/13.\nAnswer: -2*(h - 3)*(h + 206933)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -9359403.83 to the nearest ten thousand.\nAnswer: -9360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let w(c) = -c**2 - 4*c - 4. Let d(o) = 2*o + 2. Let n(k) = 2*d(k) + w(k). What is n(a(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1271097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 512272\nAnswer: -665953.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0417204um?\nAnswer: 0.00000417204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 + 17 + -18 - -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10562 and 2911.\nAnswer: 30745982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + -3 + -5 + (sqrt(11) + 0 + sqrt(11))**2.\nAnswer: sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + a. Let l be 28\/49 - (-22)\/(-14). Let g(x) = 3*x**3 + 6*x + 2. Give l*g(z) + 4*i(z).\nAnswer: z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w)\/((w**(-2\/27)\/w)\/w)*(w\/w**(2\/3))**(-38\/7) assuming w is positive.\nAnswer: w**(-139\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 + 10823*r**2\/2 - 503735*r\/3 + 162500.\nAnswer: (r - 30)*(r - 1)*(r + 32500)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - 0.11. Let v = 12.07 + -12. Let f = h + v. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/9102251 or -1?\nAnswer: -9\/9102251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(560))\/(sqrt(1000) - sqrt(1000)*2))\/(5*-1*sqrt(968) - (6*-2*sqrt(968) - sqrt(968))).\nAnswer: sqrt(7)\/440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (5 + -6 + 2 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-45)\/900*45\/2. What is the nearest to 3.8 in -2\/19, o, -3\/8, -7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjz when three letters picked without replacement from {z: 1, b: 2, j: 1, w: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6140149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*7\/21 + 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 22. Suppose -2*q + z = -q. Suppose 0 = -4*d + w + q, -4*d + 20 = d + 2*w. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/30 + 34\/10. Suppose 0 = -2*l - a*c - 7, 5*l - 2*l - 3*c - 27 = 0. Factor -1 - 12*t + 6*t**4 + 2*t**2 - 3 + 11*t**3 + t**5 - l.\nAnswer: (t - 1)*(t + 1)*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19809 + -297137\/15. What is the nearest to -6 in 0.09, -1\/3, t, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = 3*z + 7, z + 19 = 3*j. Suppose -24 - 2 = -3*n + 4*u, j*u = 2*n - 29. Does -9 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 220*c + 213. Let h be y(3). Calculate the greatest common factor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*d - 116, -4*d + 0*d = -8. Suppose -2*o + 20 = -s. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1458)*2 - sqrt(1458))*1)\/((sqrt(81)*-1)\/sqrt(9) + (sqrt(9) - -1*sqrt(81))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + (-44)\/12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -368*b**2 - 6. Let p(q) = 88999*q**2. Calculate c(p(k)).\nAnswer: -2914862496368*k**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/12 + 45\/(-180).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248 + -72. Let i = 46 + -24. What is the greatest common factor of i and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 24. Let l be r(-13). Let n be 1\/(l\/(-16)) + -4. Let k be n\/(-14) + (-7)\/((-147)\/69). Solve -10 = j - k*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 28. What is the units digit of b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3334.\nAnswer: 2, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*z + 21*z + 25*z to b + l*z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (25 - 32) + -30\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153590?\nAnswer: 2, 5, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1327, 3\/8, -12\/23, 0, -3 in increasing order.\nAnswer: -3, -12\/23, 0, 0.1327, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 15.26. Let z = -0.26 - l. Let f = 4 - -5. Which is the smallest value? (a) z (b) 3\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 13*g**2 + 3*g - 29. Let w be l(13). Suppose 0 = -4*r - 46 + w. What are the prime factors of 221 - (r\/(-45) + 14\/5)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152 divided by -19\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -21?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(4\/5)\/c*c)**(-6\/7)\/(c\/(c**(-3\/8)\/c*c)*(c*(c**(-2\/9)\/c*c)\/c*c)\/c) assuming c is positive.\nAnswer: c**(-6793\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(207\/(-2)) - (-137588)\/(-506))\/(-2). Let q be (3 + 0 + -2)*17. Calculate the highest common factor of q and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-296 + 212 - 804)*(-4 - 3 + 4)*((-2*i + 5*i - 5*i)*(-5 + 5 - 1) + 2*i - 1 + 1 + 1 + 2*i - 1) in the form p + b*i and give b.\nAnswer: 15984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/12, -1\/4, -4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 620804983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(176) + -2 - (sqrt(176) + (sqrt(176) - (-3 + sqrt(176) - sqrt(176))) - sqrt(176))*-6)**2 - (0 + -6*(sqrt(176) + 1 + sqrt(176))**2)*-3.\nAnswer: -9618 + 224*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23277*j**3 - 8654*j**2 - 36353*j + 1669?\nAnswer: 139662*j - 17308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = k - 63, 2*k + 3*p = 162. What is the highest common factor of 50 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -9760*b + 9803*b + 111 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 24*f - 37 = -r, 2*r - 81 = -5*f. Solve r*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**31\/(o\/o**1)**17 assuming o is positive.\nAnswer: o**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 68 = 4*q. Let u = q - -43. Is (-169)\/(-5) - 5\/u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18656855921.99999741 - 18656855796. Let x = -126 + o. What is x rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1021723 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let u = h - 1.8. Suppose 0 = -4*p + 3*p - 5*i - 6, 0 = p - i. What is the closest to p in u, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12212102222 (base 3) to base 2.\nAnswer: -11100001100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r - 53*r - 3432 = -2431 + 7175 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*81\/(-162))\/((-4)\/(240\/(-9)))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3340 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1912 + 9592 = 240*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2919 - 2916. Sort -108, 4, z, 1, -1 in descending order.\nAnswer: 4, z, 1, -1, -108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = -4*n - 2*j - 351, 0 = -n - j + 6. Solve 2*q + 2 = 2*i + 8, 2*q = 3*i + n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 6:43 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 2*b**2 + 2*b + 2. Let z be i(0). Suppose z*v + 3*v - 65 = 0. What is the lowest common multiple of v and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 326.819163.\nAnswer: -325.819163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + -34*-1*(6 - -76)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33725 is divided by 716.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259990 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-1) + 14)\/((-30)\/18). Put -2\/7, -0.01, y, -99, 0.5 in ascending order.\nAnswer: -99, y, -2\/7, -0.01, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 9*t**2 + 5*t + 1. Let g be c(11). Suppose -w - g = -3*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/72*9\/5.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 95, 297, 599, 995, 1479, 2045?\n\"Answer: -d**3 + 56*d**2 + 41*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4\/81 (b) -2 (c) -2\/7 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10952*h**3 + 438376*h**2 + 11842*h + 80 = 0.\nAnswer: -40, -1\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -7*4\/8*2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 - 23*g + 52 + (-3 - 2 + 4 + (-2 + 0 - 1)*(-4 + 3 - 2))*(-6*g + 3*g + 2*g) + (0 + g + 0)*(0 + 0 + 5) in the form f*g + i and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 29 + 39 = 0. Suppose -18 = p*f - 11*f. Let j = 18.8 - 0.8. What is the nearest to -1 in f, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*t**2 - 139*t + 369*t**2 - 1 - 45*t - 239*t**2.\nAnswer: -6*t**2 - 184*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46504 is divided by 9299.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16596, 16466, 16252, 15954, 15572, 15106?\n\"Answer: -42*j**2 - 4*j + 16642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Suppose -4*l + 2*y + 0*y + 1410 = 0, f = -l + y + 353. Let g be 2\/6 + l\/6. What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 24 + 33 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + r + 153*r**2 - r.\nAnswer: 153*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -151 and -0.3.\nAnswer: 45.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 56, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2775*j**2 + 8 + 13 - 2116*j**4 + 15 - 36 wrt j.\nAnswer: -50784*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18 + 21)\/((-2)\/(-132)). Calculate the greatest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 45*v + 103. Give l(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741084400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/5)\/y*y)\/y)**(17\/2))**5 assuming y is positive.\nAnswer: y**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001001100 - -101?\nAnswer: 10110001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73227376.\nAnswer: 2, 107, 42773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30721565, -61443168, -92164769, -122886368, -153607965, -184329560?\n\"Answer: f**2 - 30721606*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-14))\/(((-1855)\/(-70))\/(-53))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 574, 603, 632, 661?\n\"Answer: 29*p + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-6 - -10)) + 12 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/180 and 79\/1360926.\nAnswer: 13609260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3*7\/35.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*x - 6*x. Let d be x + 1 + 13 - (-12 - -18). Solve 3*l + 5*t = d, l + 4*t - t = 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(14\/19))\/(32\/64).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5270897.6 rounded to the nearest 10000?\nAnswer: -5270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 680 + 2c?\nAnswer: 6ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -380*r**2 + 4*r + 4. Let o be v(-2). Let q be 5 + (o\/150)\/2. Are q and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-15))\/(-2))\/((-72)\/30)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -m - 59, 0*r + 2*m + 70 = 5*r. Let l(p) = -10*p + 165. Let t be l(r). Solve -t*c + 9 = -16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 5. Let h(l) = 4*l**2 + 11. Let b(m) = -6*h(m) - 13*v(m). Does 7 divide b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12924 (base 14) to base 4\nAnswer: 23022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.4, 39, 36, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddv when three letters picked without replacement from dvddvvdvvvdvd?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15733*a**6 + 15274*a**2.\nAnswer: 1887960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -140*d**4 - 102*d**4 - 47269 + 47271 + 3*d as u + b*d + h*d**2 + f*d**4 + q*d**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383195 is divided by 471.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(200) + 1*(1 + sqrt(200)) + (sqrt(200) + 0)*1)**2 + ((sqrt(2) - (sqrt(242) + -4*sqrt(242))) + sqrt(792)\/sqrt(11))**2.\nAnswer: 80*sqrt(2) + 6401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/6 (b) -4 (c) 161 (d) 5 (e) -3 (f) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 0*q + 2*q + q**2 - q + 4. Let r be w(-4). Solve 0 = 2*x + 2*x + r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 2, v: 1, f: 2, i: 1, d: 1}. Give prob of sequence ivf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v + 3*v**2 - 4*v**2 + 4*v**2. Let n be k(2). Solve -n = -z - s, -7 = -2*z - s - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1124 - -1390. What is the greatest common factor of 854 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*x = -10, 4 = -5*j + 3*x - 3. Let z = -5230 + 5316.96. Let p = z - 87. What is the closest to j in p, -1\/3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.90515 - -26347?\nAnswer: 26349.90515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/sqrt(4))\/sqrt(5) - (5 + sqrt(77)\/sqrt(7)))**2*6.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 4*n - 6. Let q be r(6). List the prime factors of (-2)\/12 - (-151)\/q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/495 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2033 by -166.\nAnswer: 2033\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1674*l**2 - 403. Let f(x) = -25*x**2 - 6. Let d(g) = 403*f(g) - 6*y(g). Let z(r) = -r. Give d(z(k)).\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*r = -9, 2*p + p - 2*r - 20 = 0. Calculate the remainder when (-9 - -6)*(-178)\/p is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46987 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/20 + 7*a**3\/3 - 494. Solve c(h) = 0.\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50\/(-15)*3\/(-2). Find the first derivative of 2 - 3 + u**4 - g wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 585 and 62190?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 632673443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 722\/(-11913)*(-3)\/(-6)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g - 2. Find the second derivative of 3*c**2 - 3*c**2 + 2*c**3 + 11*c**g - 5*c wrt c.\nAnswer: 78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26\/3)\/((-28)\/(-42)). Suppose q + 83 = 24*c. Let g = -2 + 3. What is the least common multiple of g and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 12*c**2 - 36*c - 39. What is the units digit of p(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 10:01 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31713881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idddoviicdvd. Give prob of sequence vci.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.027375807.\nAnswer: 0.164254842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 9 = -43. Let o = a + 32. Suppose l + 6*l + 34 = 55. Solve -3*t = 2*t + g, l*g = 4*t - o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037*w - 13442 + 9191 = -18765 - 28003 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 118, -128, -374?\n\"Answer: -246*s + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 5, 409 in increasing order.\nAnswer: -5, 2, 5, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 3*s**2 - s - 495*s**2 + 218*s**2 + 3766*s**2 + (2 - 2 + s)*(0*s + 2*s - s) - 3*s + 3*s - 2*s**2 as l*s**2 + t + b*s and give l.\nAnswer: 3485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*w - 41*w - 44*w + 26*w**2 + (3*w - 4*w + 2*w)*(-w + w + 3*w) to h + b*w**2 + u*w and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19574\/9 + 97843\/45. Let j = 2.23 + -2. Which is the second smallest value? (a) j (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -103*n - 606. Calculate w(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 4:11 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 29*r - 556. What is v(23)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/9 - 36642*u - 1319080\/9 = 0. Calculate u.\nAnswer: -164885, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24945.702 - 24904. Let o = 4.332 + h. Let y = o + -46. Round y to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1343542 - -1343541.8899974. Let m = 0.11 + s. Round m to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g**2 + g. Let o(b) = 132591*b + 1. What is o(v(l))?\nAnswer: -928137*l**2 + 132591*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.102 + 2.159. Let m = -46.113 - -41.17. Let a = m - n. Put 2\/5, -1\/7, -1\/6, a in decreasing order.\nAnswer: 2\/5, -1\/7, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 6*c + 4. Let r be j(6). Suppose r*b = -b + 20. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 49. Let i be v(0). Suppose -5*m + 106 = -i. Let t = m - 21. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 3\/25 (c) 12 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 13*a = 169. Suppose m = -3*v + a, 4*v - 150 = 4*m + 102. Calculate the remainder when v is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/10 + f**4\/12 - f**3\/2 + f**2 - 31*f. Let t be i(1). Solve -17 = -4*b + r, t*b + 10 = 4*b - 2*r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/22050 and -43\/2141055.\nAnswer: 21410550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 978454 and 2192.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -2 - 2) + -12. Let j(i) = 8*i + 12*i**2 + i**3 + 4*i - 7 - 3*i. Let t be j(c). Solve -l = 2*l + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2556 and 198?\nAnswer: 28116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - t = 18*d - 12, -2*d + 3*t - 8 = 0. What is the tens digit of (-1 - (-1283)\/d) + 15\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 115*s**2. Let b(o) = 3*o - 24. What is k(b(l))?\nAnswer: 1035*l**2 - 16560*l + 66240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h. Let x(i) = -701*i + 22. Determine g(x(r)).\nAnswer: 5608*r - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 205 + -13?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, -6344\/7, -81 in ascending order.\nAnswer: -6344\/7, -81, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 30*f = 0. Let h(o) = 3*o**2 - o + 3. Let x be h(f). Suppose 3*y + 6*d - x*d = 21, 17 = 2*y + 3*d. Calculate the highest common factor of y and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x**3\/9 - 805*x**2 - 251776*x\/9 - 230140\/3 = 0. What is x?\nAnswer: -622, -370\/11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*o + 37 = 0, -4 = l - 2*o + 10. Let w(u) = u**2 - 8*u - 10. Does 6 divide w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1006*h - 243*h**2 + 991*h + 240*h**2. Let t(f) = 9*f**2. Determine n(t(p)).\nAnswer: -243*p**4 - 135*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49558 and 218474?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 6*x**2 + 4*x - 5. Give t(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 9, h: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n**2 - n - 1. Let u(j) = -3*j**2. Give 2*i(v) - 11*u(v).\nAnswer: 3*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 94507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -32) + ((-91)\/11 - (-78)\/286)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/12 and 103\/2287428.\nAnswer: 2287428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 8 - 4*m + 6*m. Let l = 35 + -21. Suppose -2*i + 2*g = 20, 6*g - g = -i + l. What is k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0*p**6 + 0*p + 7\/24*p**4 - 10*p**2 + 0*p**7 + 0*p**5 + 0*p**3 + 0 - 5\/112*p**8. What is the second derivative of a(s) wrt s?\nAnswer: -300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9877 is divided by 617.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*y = -48*y + 660 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-154)\/(-28))\/(-11))\/(2\/1808). Is m less than -452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 7:02 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113100102 - 33110?\nAnswer: -113133212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316.753 meters in millimeters?\nAnswer: 3316753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 24*l**3 + 16*l**2 - 16*l. Let z(h) be the third derivative of -h**6\/120 - h**5\/60 + h**4\/24 + 12*h**2 - 4*h. Give -j(k) - 16*z(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/7 + 820*g**2\/7 - 55418*g\/7 + 7800 = 0?\nAnswer: 1, 84, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04678 and -8616.\nAnswer: 403.05648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 40*p + 1. List the prime factors of v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 2*n - 2. Let k be i(4). Let r(y) = k*y + 7*y**2 - 22*y. Let d(c) = 2*c. Calculate r(d(f)).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 995685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007495 to five decimal places.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, -49, -249, -449, -649?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*0.114\nAnswer: -0.00342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/80*-9*96\/68. Let w = -4\/17 + r. Factor 0*l + 0*l**2 + 0 - 2\/5*l**3 + w*l**4.\nAnswer: 2*l**3*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.271*202.\nAnswer: 54.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -289*l**2\/4 + 306*l - 324 = 0.\nAnswer: 36\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2438 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.3700732 - 8.37. What is g rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {r: 12, u: 4, m: 3, n: 1}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 11, 8, 1, -10?\n\"Answer: -2*q**2 + 7*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 21*h - 564. Does 91 divide t(-102)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11164536739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a minute in seconds?\nAnswer: 2430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5076 = -10*h - 2*h. Suppose 0 = 4*r - 5021 - h. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65920000 rounded to the nearest 1000000?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-3)\/(-4))\/((-63891)\/458).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57507 = -57*w - 56253 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04 or 7538108?\nAnswer: 7538108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 119161088 divided by 465473\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 11, -2, -741, 17, -1 in decreasing order.\nAnswer: 17, 11, -1, -2, -6, -741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (-10)\/12*57*-42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 + 111001010?\nAnswer: 111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 3:39 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.96 - 0.04. Let l = -737 - -733. What is the nearest to -1 in l, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 + 5*d**2 - 2*d**2 + d + 2*d**2 - d + (-d**2 - d**2 + 0*d**2)*(5 - 4 - 3))*(-2*d + 2*d + 4*d).\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4 + (2*sqrt(432) - sqrt(432)))*1 + -5)**2 + -1.\nAnswer: -24*sqrt(3) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11f - -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 142022141 (base 6) to base 16\nAnswer: 2c2f8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3, -9, 198, 0, -2 in decreasing order.\nAnswer: 198, 31, 3, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/((3 - 1)\/(-2)). Suppose -u + 170 = m. Suppose 7*p + 34 = 9*p + 2*d, 4*d = 4*p - 100. Calculate the highest common factor of p and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -77*u - 3. Let v(o) = 26*o + 1. Let n(c) = 4*l(c) + 11*v(c). Let b = -2 + -10. Is n(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 10. Let o(u) = u**3 + 5*u**2 - u + 5. List the prime factors of o(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 835 and 260815590?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3144.5 and -1654537.\nAnswer: -1657681.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51.854*1189.\nAnswer: -61654.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 55, -2\/35, 1, 5, -0.2?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -193\nAnswer: 96.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -5858\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715797 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*r + 31 + 298 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11, -0.5, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*m + 34*m = -21242. What is the remainder when 862 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -11 - -4 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -265 + 277. Suppose 3*r - y = 21 - 7, o = 4*r + 2*y. Let i(p) = -p + 1. Let u(h) = -6*h + 5. Determine r*i(m) - u(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 5. Let z(d) be the first derivative of -d**2\/2 + 15*d + 1. Let n be z(u). Calculate the greatest common factor of 64 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107024733407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8491 is divided by 137.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22307775 and -28.\nAnswer: 624617700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 63 - (41 + (16 - 41))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.5529 meters in millimeters?\nAnswer: 53552.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 80*j**5 - 55*j**2 + 3510*j - 55. Let r(h) = -3*h**5 + 2*h**2 - 130*h + 2. Let i(a) = -2*p(a) - 55*r(a). What is the second derivative of i(m) wrt m?\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -114513, -1, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 13. Let j be (-2)\/12 + (-10)\/v. Let z be (-2)\/(-4)*30\/3. Which is the nearest to -2\/3? (a) z (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 17075?\nAnswer: 3415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 6, 1, -42, 0.5, 1\/358?\nAnswer: 1\/358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*m + 380, 144 = 2*i + 2*m + 10. Let p = -76 + i. Sort p, 42, 3 in increasing order.\nAnswer: p, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 29. Let d = 20 + q. Let j be (-6)\/9 - 104\/(-138). Which is greater: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -10 (c) 3\/5 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 - 35655*k = 0. Calculate k.\nAnswer: -11885, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 114*u - 44)*(-4 + 0 + 5)*(2 - 1 - 2) - 4 + 4 + 7*u.\nAnswer: 121*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7664054 and 0.6789.\nAnswer: -7664053.3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.03 and 1731246?\nAnswer: 1731247.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12613*u**2 - 7*u - 1602 wrt u?\nAnswer: -25226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eywiywwzee. Give prob of sequence ww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 5, 15 in descending order.\nAnswer: 15, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 48 in ascending order.\nAnswer: 1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09352 * -0.6.\nAnswer: -0.056112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(29*z + 19*z - 12*z)*(1 + 1 + 0)*(-2 + 2 + 1)*(2 + 0 - 1) to the form u*z + b and give u.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 32154360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861182971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590692?\nAnswer: 2, 147673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfdksto. Give prob of sequence ft.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -37789148+3754\nAnswer: -37785394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1846 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - q + 77, 5*i - q - 185 = -5*q. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(24) + 2*sqrt(384))\/(sqrt(1452)*-2 - sqrt(1452) - sqrt(1452)))**2*4.\nAnswer: -90*sqrt(2)\/11 + 24281\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -866\/24733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 940871859659\/17376 - 54147782. Let z = a - -2\/181. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/28359936 and 155\/4752.\nAnswer: 28359936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -7. Let l be (5 - (2 + 1)) + r. Solve 3*a = a - l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8587468 to the nearest integer?\nAnswer: 2930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t, 4*t + 61 = 3*k + 1. Calculate the greatest common divisor of 170 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 9*z**2 - 28*z + 253. Let t be v(9). Which is the second smallest value? (a) -4\/5 (b) t (c) 0.5 (d) -0.9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {o: 2, p: 2, t: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46233 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 749 - -267. Suppose -4*a - 4124 = -5*z, a - 3*z + c = 2*z. Let n be a\/(-20) - 2\/(-10). What is the greatest common factor of n and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182345*a**6 + 2*a**2 + 4340*a - 6?\nAnswer: -21881400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11342633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -4, -22, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - t + 30 = 404, -2*t - 298 = -4*f. Suppose f = 6*n + 9. What is the lowest common multiple of 4 and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61327262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298864*c - 298860*c - 4*q = 312, -4*q + 227 = 3*c for c.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 709*v**5 + 5*v + 22?\nAnswer: 14180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 3707*k**6\/10 + 3391*k**3\/2 + 30*k - 30. What is the second derivative of o(c) wrt c?\nAnswer: 133452*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 17470*w**2 - 69940*w + 69960.\nAnswer: 5*(w - 2)**2*(w + 3498)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hprsrupqqqr. Give prob of picking 2 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-2*sqrt(125) - sqrt(125))*-5*2*3 + -2)*-1)**2.\nAnswer: -6300*sqrt(5) + 1012549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 - 65. Let k = c + -43. Let q be k\/(-10) - (1665\/(-25) - -1). Calculate the greatest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -4 (b) -77 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.32 and 0.0332804958465?\nAnswer: 4.2867195041535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1989766.91 rounded to the nearest one hundred?\nAnswer: -1989800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 458334*o**3 + 4*o**2 - o - 8. Let l be t(-6). Let x be 3\/(-15) - l\/10. What is x rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) 3 (c) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39610 + 66149. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - (-3)\/((-6)\/(-274)). Solve 2*q - 22 = -4*r, x*q = 127*q + 3*r - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.6 from -20.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5700 = -3*q + 60*r - 63*r, 5700 = 3*q + 4*r. Round q to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29057324?\nAnswer: 2, 1181, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 512 + -364. Let f = 146.2 - d. Is -4 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-14))\/(-42*(-780)\/(-1651104))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 1\/24*d**4 + 0*d + 1\/70*d**7 + 0*d**6 + 0*d**3 - 3*d**2 + 0*d**5 + 0. Find the second derivative of h(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 - 5 + 4*d**2 + 4 + (3*d + 0*d - 2*d)*(-3 - 2 + 3)*(0*d + 0*d - 5*d) - d**2 + 6*d**2 - 6*d**2.\nAnswer: 11*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96080*b - 95815*b = -16165 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 715207771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2024*z + 2069*z + 90 = 0. What is the smallest value in 0.5, 3, z, 411?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m + 18*m + 1274784 = 0. List the prime factors of m.\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 + 14847*m**3*o**3 - 79*m*o**3 - 9*m - 5*o wrt m?\nAnswer: 12*m**2 + 89082*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 31*d + 272. What is t(14)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (-13 + -48 - -82)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -57. Let p = 311\/112 + -19\/7. Do p and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -p. What is the lowest common multiple of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - s)*(3*s**2 - 3*s**2 - 2*s**2)*(-2 - 2 + 2)*(-1 + 5 - 1)*(2 - 3*s - 2).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5. Suppose 2*r - 36 = -w*r. What is the smallest common multiple of r and 19 - (3 + 0) - 0?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-55)\/(-24))\/(-5)*3 and (78\/16)\/(5\/(-12)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 527831 divided by -25.\nAnswer: -527831\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/(-12)*228\/(228\/(-12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3745, -3752, -3777, -3826, -3905, -4020, -4177?\n\"Answer: -f**3 - 3*f**2 + 9*f - 3750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2, 8415, -408?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2662240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 - 155. Calculate the lowest common multiple of k and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 2846 - 2846 - 3*w**3 + 0*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7485062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*1)\/sqrt(3) + ((-1 + sqrt(11) + sqrt(11))*3)**2 + -1)*-5.\nAnswer: -2020 + 175*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 11*b - 2. Let p be j(7). Suppose 35 = 4*i + p. What is the second derivative of -54 + 54 - k - k - 3*k**i wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1444968338 divided by 1.\nAnswer: -1444968338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1100110100001111001010111?\nAnswer: 1100110100001111001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 + 3*r - 2. Let z be g(1). Let p be ((-3)\/z - 0)\/((-4)\/(-96)). Let x(q) = -11*q**2 + 15*q**2 - p*q**2. Let l(o) = 2*o**2. Determine l(x(f)).\nAnswer: 392*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 - 0.8. What is the biggest value in 4, -0.1, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90827220 by -86916.\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103233331 (base 4) to base 10.\nAnswer: -80893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 - k + 7. Let b be 4\/(-16) + (-2)\/(-8). Calculate r(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4582 is divided by 100.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552615?\nAnswer: 5, 23, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 0*p - 2*p)*(3 - 3 - 1) + (6 - 2 - 3)*(-2*p + 2 - 2) + 1 - 1 - 2*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.43 - 2.83. Let p = a + 4.2600011. Round p to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-60)\/(-80))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - (-35 + -4 - (66 + -95)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/27838080 and -85\/7423488.\nAnswer: 111352320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56139*m + 28235*m + 28063*m.\nAnswer: 159*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, l: 2, i: 4, o: 2}. What is prob of picking 2 i and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -43. Let r(v) = -v**2 + 4*v + 4. Let i be r(0). What is the third biggest value in 1\/7, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43148*w**2 + 9*w + 43147*w**2 - 2*w**3 + 70 + 0*w**3 to the form z*w + n*w**3 + p + r*w**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.17 (b) -870 (c) -3 (d) 1\/3 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6127*d*m**2 - 2*d*m + 2814*d wrt m?\nAnswer: -12254*d*m - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(-6)\/(-9)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 93. Let t be d(19). What is the biggest value in t, -2, 1\/6, -2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37\/2 - 17. Factor 0*a**2 + 0 + r*a**4 + 1\/2*a**3 + 0*a.\nAnswer: a**3*(3*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1260*f + 1210*f - 1200 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -76ab08 (base 14) in base 6?\nAnswer: -222133352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:28 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39887 - -68760. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n + 660 = 0. Let p = n - 67. Calculate the greatest common factor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14765 + 36329. What are the prime factors of m?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 16 = 2*p, 0 = 2*j - 2*p - 3 + 23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -27. Let l = 10 + k. Is l at most -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59641467923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + r + 1. Suppose -m + 2 = 1. Let o(v) = v - 1. What is m*o(x) - d(x)?\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -1, 1\/4, -4\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*(x\/(x\/x**(-1\/17)))\/x)*x)\/x)**(-21))**(10\/19) assuming x is positive.\nAnswer: x**(-3780\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 11:14 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2983289, 5966616, 8949941, 11933264, 14916585?\nAnswer: 17899904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 2*s + 7. Let h(z) = -66 - 95 - 90 - 92 + 342. Determine -g(t) - 5*h(t).\nAnswer: -2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/27)\/(1\/3). Solve 3*g = -17 + a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = g - 20, 2*g = -v + 1 + 12. Suppose 3*h = 3*z + 4*h - 17, 2*h - 22 = -v*z. Let d(t) = 10*t + 4. Let p(s) = -1. Determine z*p(n) + d(n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -2*o + 147. Suppose 4*i + i = o. Suppose -3 = 3*l - i. Solve 4*z = z - l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/12 - 5*v**3\/6 + v**2\/2 - 5*v. Let f be s(5). What is the units digit of 6\/(f\/(-4)*-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176 + -184 - (9 - -2)) + 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -963858 divided by -318?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q + q**2 + 0*q**2 + 9*q to the form j*q**2 + k*q + y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -84, 0.2, -318, 0.3?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (4 + (2 - (12 + -2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1651528583, 1651528579, 1651528573, 1651528565, 1651528555?\n\"Answer: -t**2 - t + 1651528585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 7) to base 6.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -3486129 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 - (9 + -23)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/1)\/((-3)\/(-2)). Suppose -2*w + 332*r - 333*r = -31, 0 = 4*w + 5*r - 83. Calculate the highest common divisor of w and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r + 32. Let p(z) = z**2 + 5*z - 33. Let l be p(4). Solve -2*j + r = -4*m, 4*m = -3*j + l*m - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 - -7 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t = 24. Let h(w) = w**2 + w + 11. Is h(t) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 - -44. Let y be 8\/(-18)*r\/(-36). Solve 5*p - y*p = 4*h - 23, 0 = -h - 4*p - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a3727 (base 13) to base 10\nAnswer: -664710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 28 = -2*b, 4*b + 3*n + 22 + 14 = 0. Let w be (b\/(-90))\/(1\/6). Is -20\/9 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 46 - 2 = 0. Suppose -3*h = -22 - 29. What is the remainder when k is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (385\/(-14) - -14) + 4*65\/20\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a. Let o(q) = -2*q. Suppose 0 = 5*n - 15, 3*k = -3*n - 7 + 1. What is k*o(r) + 3*h(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -41 (b) -1 (c) 0.1 (d) -4\/5 (e) -42 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**2 - 53082*o - 159292. Determine v(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -183721.\nAnswer: 1\/183721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 102. Let u(v) = -1426*v. Give n(u(q)).\nAnswer: 1426*q - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 0*n + 1\/5*n**4 + 0*n**2 + 1\/25*n**5 + 4\/15*n**3 + 1. Factor a(u).\nAnswer: u**2*(u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -1 (c) -5 (d) 2232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -2)\/(2\/(-111)). Suppose -5*g + v = 57. Let a = g + -20. Solve 2*c = 5*f - a, 5*c - 5*f + f = -7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 31, 51, 91, 157, 255, 391?\n\"Answer: p**3 + p**2 - 4*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 434364*v + 11293480. Determine l(-26).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*2*-1. Let s = 12.2 + -12. What is the second smallest value in s, -0.3, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/162)\/(4\/6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 - 5 + 9*i**3 - 3*i + 3*i + 2*i**3. Let u(b) = b**2 - 13*b**2 - 12 - 853*b**3 + 880*b**3. Determine -12*k(q) + 5*u(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 369990\/7 - 52752. Let s = y - 6235\/56. Calculate the common denominator of s and 51\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(4342\/156)\/167.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -27*j**6\/2 - 3*j**2\/2 - 10*j + 72. What is the second derivative of r(l) wrt l?\nAnswer: -1620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61857 is divided by 8733.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980.9396 centimeters to micrometers.\nAnswer: 9809396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.6 - 2.6. Let o be 8\/18*(-9)\/(-6). Which is the nearest to o? (a) -0.2 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**24*u)\/u*u)\/u**21*(u*u**(-41)*u)**(-7\/8) assuming u is positive.\nAnswer: u**(313\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23431 or 5667?\nAnswer: 5667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**3 + 4*j**2 - 7*j + 62. Let n(o) = -3*o**3 - 2*o**2 + 4*o - 31. Calculate 4*a(k) + 7*n(k).\nAnswer: 7*k**3 + 2*k**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-956)\/(-14) + (-8)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w + 52. Let r be l(-6). What is the closest to 0 in -0.1, -4\/3, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79906*b - 3 + 4 - 3*b**2 + 8*b**4 - 79903*b to the form q*b**2 + o*b**3 + j + a*b**4 + v*b and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5700541 + -23189459. Round r to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 102 - -1198b?\nAnswer: 11a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(714\/(-36)))\/(-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0508181 rounded to 3 decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -134, -128, -136, -164, -218?\n\"Answer: -i**3 - i**2 + 16*i - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1843 is divided by 107.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 21*a**2 - 6*a + 2. Let h(z) = -21*z**2 + 7*z - 3. Determine 5*h(g) + 6*q(g).\nAnswer: 21*g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8929 + 14625. What is the remainder when y is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-0.035797\nAnswer: -0.435797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 4*r - 44 = 15*a, -2*a - 2*r = 2*a + 22 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -38, -32, -8, 40, 118, 232, 388?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1092 = -2*l + 3434, 3*l = -3*c + 7011. What is the greatest common factor of 44 and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7 = -13. Calculate the highest common divisor of 12 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*-2*sqrt(1377) + sqrt(2057)*2 + sqrt(34)\/sqrt(2)*2 + 4).\nAnswer: -192*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 11:06 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (212 - 244) + 92\/2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5929890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3 + 1132*r**2 - 160151*r - 324822 = 0. What is r?\nAnswer: -1259, -2, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 11:42 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3337256 to the nearest integer?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 + i**3 - 29*i**3.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39722 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 17*k**2 - 5. Let b(n) = n + 14. Let g be b(-6). Let f(w) = -2 + 11*w**2 - 3 + 0 + 2. Let z(q) = g*f(q) - 5*r(q). Differentiate z(v) wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {y: 7, l: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 81, 214, 461, 858?\nAnswer: 1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(49\/(-35)) - -6726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -5 (c) 188 (d) -1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 + 4*o + 4. Let w(a) = 3*a - 42. Let g be w(13). Let c(t) = 6*t**2 - 5*t - 5. Determine g*c(j) - 4*i(j).\nAnswer: 2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 + -22 + 172721 + -9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 55957833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4698772.\nAnswer: 2, 13, 109, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 8. Determine k so that -2*k**2 - k**2 - 2*k**2 + 0*k**x = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-7*56\/280.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220444 (base 5) to base 15.\nAnswer: -23d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 34. Suppose 2*d + 3*s - 31 = 0, 5*s - j*s = 5*d - 64. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 + -100.23. Let k = j + 0.03. Let u = 17989 - 161899\/9. Which is the closest to k? (a) -2 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b + 33. Let n(c) = -17*c + 98. Give -4*n(t) + 11*s(t).\nAnswer: 2*t - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 - 201. Let d be (-118)\/g + 134\/(-1273). Solve 24 = -d*i + 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((270\/(-195))\/18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -25*z**4\/4 + 22*z**3\/3 - 7. Find the third derivative of k(s) wrt s.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/((-216)\/63)*-2*(-30964)\/(-14). What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 10*n + 169. Let b(c) = -2*c**2 + 8*c + 169. Determine 5*b(s) - 4*w(s).\nAnswer: -2*s**2 + 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -307632 (base 10) in base 5?\nAnswer: -34321012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2)*d)\/d**(-1\/4))**(25\/2) assuming d is positive.\nAnswer: d**(125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 306*g + 15. Let d(u) = 206*u + 10. Determine 5*b(x) - 7*d(x).\nAnswer: 88*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -y - 20*p + 25*p, -113 = 4*y - 9*p for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 692 and 63964674.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6) + 1\/(-2). Which is the nearest to p? (a) 0.4 (b) 1\/4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 42*w + 2. Calculate v(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*m = 30 - 11, 17 = a - 3*m. Let u(c) = 3*c + 15. Let q be u(-4). Let s be 1\/(-2) - ((-26)\/4 + q). Solve s*z - 10 = -a*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 697923 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 27*l**2 - 3*l.\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2880) + 1*sqrt(500))\/(sqrt(40)\/(sqrt(30)\/sqrt(3)) + sqrt(4) + 5*(sqrt(16) - sqrt(4) - sqrt(4))).\nAnswer: 29*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 2*b + 10. Suppose -k + 0 = -12. Suppose 0 = -b*o - 0 + k. Solve 5*v + 9 + o = 0, -4*p + v = 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 5*p - 13. Determine y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 2. Let v be d(-4). Let o = v + -19\/2. Let 0 - 31\/4*b**4 + 3\/4*b**2 - 15\/4*b**3 - 15\/4*b**5 + o*b = 0. What is b?\nAnswer: -1, -2\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17258566751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -100*q - 14*q + 157 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 9:56 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 - 1)*((0*d + 0*d - d)*(-3*d**2 + 2*d**2 + 2*d**2) - 57*d**3 + 62*d**3 + 92*d**3) to the form z*d**2 + p*d**3 + v*d + a and give p.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*k**4 - 10*k**5 + k**5 + 13*k**4 + (4*k**4 + 3*k**4 + 0*k**4)*(k - 5*k + 3*k).\nAnswer: -16*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 - -2.2. What is the third biggest value in 2, 1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-22) + 14\/77. Suppose 4*t - 9 + 1 = b. Calculate the smallest common multiple of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 + 7*x + 7. Let t(k) = k**3 - 2*k**2 - 167*k - 20. Let h be t(14). Let v(a) = a**3 - 3*a - 3. Calculate h*w(g) - 14*v(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2989*m**3*q**3 + 2*m**3*q**2 - 129*m**3 + 1239*m**2*q**2 - 8*q**3 - q**2 - 3*q wrt m?\nAnswer: -17934*q**3 + 12*q**2 - 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqw when three letters picked without replacement from {s: 2, w: 3, q: 9, l: 2, t: 1}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -154?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46250, -92603, -138956, -185309, -231662, -278015?\nAnswer: -324368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/56*-5 + (-11)\/44. What is the nearest to 1 in d, -3, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/174? (a) -165 (b) 0.2 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.29 (b) -1\/67 (c) -152 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 717*d - 732*d - 564 - 321 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 173. Let n(w) = -4*w**2. Calculate n(v(q)).\nAnswer: -4*q**4 - 1384*q**2 - 119716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x - 3*x + 3*x)*(1680 - 1653 + 722) to the form n*x + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -12.88. Let h = 1.5482 - -0.0318. Let c = b + h. Round c to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 + 11 + 0 + 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*g - 20*g + 43*g - 3 + (0 + 0 + 2*g)*(-5 + 0 + 6) + 1 - 1 - g - 6*g + 0*g + 3*g - 3*g + 3*g + g.\nAnswer: 4*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 627621681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 210233433 (base 5) in base 13?\nAnswer: 245109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -918 by -2.\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 4, c: 2, d: 5, a: 8}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 13. Let p(f) = f**2 + 2*f - 4. Let g be p(w). Let x(a) be the first derivative of a**4 - a**3\/3 - a**2\/2 - a + 1. What is x(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 11*b - 206 + 572 + 318 + 5*b to the form w*b + x and give x.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, g: 6, c: 4}. Give prob of picking 1 c and 2 g.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 7*o**2 - 6*o + 11. Let l be k(-8). Let d be 0 - (-5)\/15 - l\/3. Suppose -d*c = 36 - 188. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11210 (base 4) in base 6?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1179 + 75. What are the prime factors of t?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142634 (base 10) in base 11?\nAnswer: 98188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1830, -3656, -5480, -7302, -9122, -10940, -12756?\nAnswer: -14570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + u - 10*u**2 - 2*u - 3 + 8*u**2 to d*u**2 + v*u + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.05 (b) 1\/18 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpzo when four letters picked without replacement from {o: 2, z: 2, x: 13, h: 1, p: 2}.\nAnswer: 13\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-1*(-63)\/((-441)\/(-21)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -42, 2.6, 0, -2\/3, 2935?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295554653, 591109306, 886663959, 1182218612?\nAnswer: 1477773265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4965 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -1.5. Let x = 11538 - 11539.6. Which is the third smallest value? (a) x (b) -2 (c) -1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 224?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 15*d + 6*d**2 + 15*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164 is divided by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k - 1. Let g(y) = 16350*y. Determine n(g(s)).\nAnswer: 163500*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -165*l + 337*l - 242*l - 350 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26 + (1 + 2)\/(-3). Let k = a + -6. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 487 (base 13) to base 16\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5*h - 35*h**2 - 2 + 0.\nAnswer: -35*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 13002222?\nAnswer: 13002213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5427 = 779*m - 2121 - 4137 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 76 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.5 (c) 4\/31 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 116, 193, 284?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmg. Give prob of sequence gmm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.683753 to 3 dps.\nAnswer: -6.684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11080, 10369, 9660, 8953, 8248, 7545, 6844?\nAnswer: 6145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*m**2 + 6*m - 4*m**2 + 2*m + 2*m to the form x*m + n + i*m**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(1 + sqrt(5))**2 - (-5 + (sqrt(10)\/sqrt(2) - sqrt(5)))).\nAnswer: -11 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 266 * 3.\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1243253244 and -134.\nAnswer: -1243253378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(8\/13)*q*q**(1\/12)\/q*((q**(-9)\/q)\/q)**(-1\/20) assuming q is positive.\nAnswer: q**(487\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 12*q**2 + q - 12. Let c be n(12). Suppose c*v**2 - v - 1\/2*v**4 + 1\/2 + v**3 = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 8. Let t be j(-18). Suppose -t = -l - 8. Solve p - l = 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 51944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -223584 smaller than -223627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 693 and 33.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -243.\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4 + -7 - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -88107*y**3 - 4*y**2 - 2*y + 7. Let s be i(3). Let o = -5878924 - s. Round o to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 0.4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 - 20*y**2 - 23*y + 42 = 0. Calculate y.\nAnswer: -2, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1942, 2180, 2418?\nAnswer: 2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4 + 12. Let o(p) = 5*p**2 + 2*p - 2. Let h be o(r). Solve -l - h = -6*l + 4*j, -3*l - 4*j = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 10. Let o(z) = -z - 2. Let v(r) = 11*o(r) - 2*p(r). Let x be 15*(-4)\/(-24)*2\/(-1). Calculate v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10*(-6)\/12)\/((-2)\/98). Let k be (-1050)\/j*((1 - 1) + 7). Let a = 62 - k. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 13)*(-1 + 1 - 4)*(4*h - 1 + 1) + (0*h + 0*h - 2*h)*(-1 - 10 - 4) to q*h + i and give q.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*y = -4201 - 503. Calculate the greatest common divisor of y and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -41*a**2 - a. Determine i(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f - f + 3*f + (-4*f + 3*f + 0*f)*(4 - 3 + 1) + (-114 + 115 + 181)*(f - 5*f + 2*f).\nAnswer: -368*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/2*(-603)\/(-2814))\/(6\/(-16))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*u + 25 = -10, -l = -4*u - 7. Let h(g) = g + 1. Let r be h(l). Solve -i - i + r = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -2155, -7367, -17537, -34321, -59375, -94355, -140917?\nAnswer: -200717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*n**5 + 958086*n**3 + 1907*n**2 + 1384*n - 5 wrt n.\nAnswer: 960*n**2 + 5748516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 28*f - 149. Calculate the smallest common multiple of 148 and y(33).\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - 16. Let f(u) = -149*u - 2 + 14 + 1 + 113*u. Let s be f(1). Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-11) + (-65)\/(-55). Let u be (-30 - 1)*1\/x. Let p = u - -32. Solve 4*h - p + 9 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6181*j + 21 = -6174*j. Suppose y - 3 - 5 = -w, -3*w + y = -40. What is the remainder when w is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -8813?\nAnswer: 880a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2\/4 + 285*y\/4 - 3377\/2 = 0.\nAnswer: -307, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -30*g**2 - 194*g - 18. Let d be n(-6). Solve d*c = 79*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101077 (base 8) to base 3.\nAnswer: 1200201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31635 - 24988. Calculate the highest common divisor of 391 and p.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 o when four letters picked without replacement from {j: 3, o: 2, t: 12}.\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 - 151. Suppose -2*h = 3*m - 23, 4*m - 5*h = -10 + 33. Calculate the lowest common multiple of r and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6659435\/2 or 3329717?\nAnswer: 3329717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 25*f - 170 = 0. Suppose 2*d - f = -77. Suppose 7*a - d*a = 6. Solve -a*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 19*y**2 - 49*y - 8. Give c(4).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*o - 2 = 3, 5*o - 3 = -2*z. Which is bigger: z or -3\/37?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203 - 100 - 104)*(i**4 - 4*i**4 + 2*i**4) + ((0*i + 0*i + i)*(2*i**2 - 2 + 2) - 3*i + i**3 + 3*i - 5*i**3 + 5*i**3 + i**3)*(7*i + i + i).\nAnswer: 37*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296\/2*(-2)\/((-26)\/65) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*n**3*t**2 + 6286193*n**3 - 319719374*t**2 with respect to n.\nAnswer: -27*n**2*t**2 + 18858579*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 f, and 1 l when four letters picked without replacement from pppppppplpfppp?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-16)\/(-2) - (-9268)\/(-896) and -41\/80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1331 and 847.\nAnswer: 9317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1382840 and 362.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 36. Is (-2031)\/v*(-2)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6726?\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 6*j**2 - 2*j - 2. List the prime factors of v(-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 + 5*t**3 + 2*t**3 - 2*t**3 + 0*t**3 + 0*t**3 + (0 - 1 + 2)*(3*t**3 + 3*t**3 - 2*t**3) as f*t**2 + b*t**3 + d*t + q and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18867569 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4691 and 9.\nAnswer: 4700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 44*j + 38. Let c be k(38). Let w = c + -263. Solve 14 = -w*i - r, -20 = 3*i - 4*r - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -7*t + 6*t - 22, -2*b + 48 = -4*t. Let q = t + 25. Suppose q*g - 17*g = -12. Solve 6 = s + g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31309 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 447.\nAnswer: 15198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 63 - 28 = -0*u + 25 - 39, -3*g + 4*u - 53 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1832, -670, 4 in descending order.\nAnswer: 1832, 4, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 11*t - 2963 + 3035 = 4*i, -3*t - 38 = -2*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9) + 48\/(-18))*(-144)\/(-216)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x + 2*x. Let k = -675\/19 + 9572\/209. Let n = k + 310\/33. Find the common denominator of n and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i - 14. Let n be t(6). What is the closest to 0.2 in n, 1\/4, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*r + 15, 2 = -4*r - i - 1. Sort -3, 1, r, 5 in increasing order.\nAnswer: -3, r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -427569, 0.3, 1\/3, -4 in increasing order.\nAnswer: -427569, -4, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = -9, -5*q + 27 = -4*y. Suppose 2*d + 2 = 3*n - 0, -12 = -3*d - q*n. Suppose -v = d*v, l - 9 = -5*v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**3 - 7*j**2 + 34*j + 167. Is 2 a factor of c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50054709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 6*r**2 + 2*r**2 + (-23 - 24 + 10)*(-4*r**2 + r**2 + 2*r**2) + 3*r**2 + 4*r**2 - 4*r**2 to g*r**2 + b + m*r and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*g + 3*o, 2*o + 8 + 3 = 5*g. Suppose -5 = -4*h - 1. Suppose -3*v = 2*v. Put v, g, h in descending order.\nAnswer: g, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d - 4. Let f be x(-2). Find the third derivative of 2*g**3 - 2*g**3 + 13*g**f - 6*g**6 - 6*g**2 wrt g.\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/28)\/(5\/(-2))*932\/(-3495).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 16*z - 5. Let s be w(-15). Let g be 44\/s + (-44)\/11. Sort 0.1, g, 2 in increasing order.\nAnswer: 0.1, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/4834512 and -131\/155952?\nAnswer: 4834512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*20\/(-32)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*w + 4 = 0, -13 = 6*f - 4*f + w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -127*y + 1901. What is l(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1\/5, 2\/15, 20, -1\/3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 20. Let a be -2*3\/2 - g. Suppose 5*b + 8 = -0*b + x, -3*x = 2*b - 7. Sort b, 4, a in ascending order.\nAnswer: b, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w + 4*w - 4*w)*(2*w**3 - 4*w**3 + 4*w**3) - 2*w**4 + 3*w**4 + w**4)*(-84 + 458 + 1176).\nAnswer: 6200*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 240, -9, -0.07, 9\/2, 2 in descending order.\nAnswer: 240, 9\/2, 2, -0.07, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 21*o**2 + 94*o + 31. Let k be c(7). Factor 1\/3 - 2*i**k + 2\/3*i - 5\/3*i**2.\nAnswer: -(i + 1)*(2*i - 1)*(3*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, -130, -310, -522, -748, -970, -1170, -1330?\n\"Answer: 3*g**3 - 43*g**2 - 22*g + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 337107 and 33.\nAnswer: 3708177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1217 <= -183507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6923924, 6923923, 6923922, 6923921, 6923920?\nAnswer: 6923919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -3, -3037?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 4*s - 1. Let m(q) = q**2 + 5 - 2*q - 6 - 2*q**2. Let i(g) = -5*m(g) + 2*z(g). What is the lowest common multiple of 8 and i(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*c - 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/15 and -41\/462?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 17. Let i be b(-7). Let r = 2 - i. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 14*x - 9. Let i be n(16). Let k = -19 + i. Suppose 5*u = -k*b + 17, u - 3*u = 4*b - 14. Solve 0 = -0*w - w + b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78263019?\nAnswer: 3, 17, 511523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0 + 2. Let n(z) = 2*z**3 - 2*z**2 + z + 1. List the prime factors of n(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 9. Let r be p(-6). Suppose -51 = 5*y - 8*y. Let s(i) = i**2 + y + 17 + 4*i - 31. What is s(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -122582 = -1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/36*-159*-4. Let k(l) = l**3 + 9*l**2 + l + 11. Let u be k(-8). Let p = q + u. What is the remainder when 54 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 123 = 3*n - 136, -5*n - 1002 = -4*w. What is the second derivative of -15 + 127*m + 0*m**2 + 125*m - 53*m**4 + 2*m**2 + m**2 - w*m wrt m?\nAnswer: -636*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -74, -196, -394, -668, -1018, -1444, -1946?\n\"Answer: -38*y**2 - 8*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8634\/(-23024))\/((-1)\/(-48))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q - 3*p - 8, -5*q - 4*p + 6 = 0. Suppose -q*l + 11 = -c, -3*l + 2*c = -0*l - 15. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*a**2 + 1)*(-a + a - 10*a)*(0 + 3 - 1)*(4 + 13 + 0).\nAnswer: -680*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001010010101011111 (base 2) in base 13?\nAnswer: 2c2713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 35809*t - 35851*t - 2 + 2. Let y(g) be the third derivative of g**5\/60 - g**2. Determine w(y(a)).\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063410 is divided by 1141?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -1\/27194?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d1 + -2?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1)*(-7 - -1). Solve 5*l = 2*l - r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/81)\/(1\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1 + sqrt(3))*-6 - 5*(sqrt(3) + sqrt(9)\/sqrt(3))))**2.\nAnswer: -192*sqrt(3) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 390 + -406.7. Let l = q - -17. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {k: 3, j: 1, s: 2, w: 3, f: 2, o: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + 0.4. What is the third biggest value in q, 2, 2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -3*p - 35. Suppose -4*h + 2 = p*k - 0*k, h - 13 = 5*k. Solve 12\/5*j**h + 0 + 2\/5*j + 8\/5*j**2 + 2\/5*j**5 + 8\/5*j**4 = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 7) to base 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 + 3. Let q = -0.1 + l. Let f = 0.69 + -2.69. What is the closest to q in f, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000060951 rounded to 6 dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513692 (base 11) to base 10.\nAnswer: 824716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58b (base 15) to base 11\nAnswer: -a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let w be (-1 - (-10)\/(-2))\/1. Let k be 6\/(-21) - w\/21. Suppose 3*s - 1 - 2 = k. Give x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 - 3 + 2*s**2 + 3 + 3*s**3 wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from pqo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + p - 5 = 0, 81*p - 15 = -g + 78*p. Suppose -2*j - 3*z - 3 = -0*j, -10 = -5*j - 4*z. Let i be 22\/j - 2\/3. Solve g = -2*o - o + i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/7 + 2152*d + 2025920\/7.\nAnswer: -4*(d - 3896)*(d + 130)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 13*a - 11248 = 0. Suppose 16*v - a = -21*v. Suppose -4*z = -3*j + 58, 5*j - 92 = 5*z - 3*z. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 801602 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 97*p - 7768. Determine l(84).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37 and 238.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*n**4 - 2*n**3 + 4*n**2 + 4*n?\nAnswer: -216*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4043*i**3 + 1766*i**3 - 5*i**2 + 1832*i**3.\nAnswer: -445*i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-77))\/(20\/30).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -43, -8, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52964 - 3601649\/68. What is the common denominator of p and 23\/153?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w + 14*w - 6 - 25*w in the form z + j*w and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2333712867?\nAnswer: 3, 19, 40942331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9425.379 millennia to decades.\nAnswer: 942537.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6\/b**(-2\/29))**(-40))**(-1\/80) assuming b is positive.\nAnswer: b**(88\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (30\/27)\/(198\/2673)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*z - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -297?\nAnswer: -14\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**3 + 23510*b**2 + 27729805*b + 220336360 = 0?\nAnswer: -2347, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18113165 or 18113164?\nAnswer: 18113165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(80) + -2 + -2 + 0.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjhk when four letters picked without replacement from {h: 6, j: 5, k: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**6\/36 - x**5\/30 + 5*x**4\/24 - x**3\/6 + 24. Let j(f) = 0. Calculate f.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91330484*j**2*r + 2*j*r + 217005383*r wrt j?\nAnswer: 182660968*j*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 10 + 1. Let k = -17 - q. Is (-748)\/(-16) + (-2)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 5*x + 8. Let p be b(-6). Suppose -p*t + 22 = -5*c, 36 = 5*t - 2*c - c. Solve -5*v = -2*i + t, -v - 3*i - 2*i = 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102117 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r - 61. Let m be f(-5). Solve 0 = o - 2*o + 2*b + 1, -m*b + 8 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*l - 1006925 = 0, 5*i - 5*l = -413236 + 1420201. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03839 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 59. Let d = p + -17. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20)\/16 - 47400\/(-160) is divided by 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 8*v - 7. Let b be (-26)\/(-6) - 2\/6. Suppose -b*p = -0*y + 3*y - 37, -p + 11 = y. Calculate the smallest common multiple of y and j(5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213003 (base 4) in base 16?\nAnswer: 19c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -3, -9515 in decreasing order.\nAnswer: 5, -2, -3, -9515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*l + 41 - 41 + 4*l**2 + (0 + 0 + 2*l)*(-l + 4*l - l) + 4*l - l**2 - 4*l - 6*l**2 - 3 + 4 + 2*l**2.\nAnswer: 3*l**2 + 13*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/65799 or -2?\nAnswer: 7\/65799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/((-4437)\/18))\/((-1)\/(-1))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 151961, 303920, 455879, 607838?\n\"Answer: 151959*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*u**4 - 12*u**4 + 4064*u + 29*u**2 - 3990*u + 7*u**3 - 31*u**2 to the form y*u**4 + x*u + p*u**3 + w + j*u**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487474 + 4*y - 487474.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/2 - 259990*p**4 + 2079933*p**3\/2 - 779976*p**2 = 0. Calculate p.\nAnswer: -519984, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + 0*k)*(1 - 5 + 3)*(-7 + 2 - 1)*(-2*k + 4*k - 3*k).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r + 4. Let v(w) = -25*w - 9. Give 14*s(p) + 6*v(p).\nAnswer: 32*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*s**3 + 0*s**2 - 2*s**2 + 2*s**2 + 35*s**3 + (-4*s**2 + 5*s**2 + 0*s**2)*(3*s + 0*s + 3*s).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3*m + m)*(1 + m - 1) - 8*m**2 + 26*m**2 + 93*m**2 + 2*m**2 + 3*m**2 - 2*m**2 + (-2 - m + 2)*(4*m - 2 + 2).\nAnswer: 109*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 7*t**2 - 4*t + 15. Let v be q(-7). Suppose 2*n = 0, -3*i + v = 2*n - 11. Let m = i - -28. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/(6 - 1). Let u(c) be the first derivative of -1\/5*c**2 - 2\/15*c**3 + 2\/25*c**5 - 2 + d*c**4 + 0*c. Factor u(k).\nAnswer: 2*k*(k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tydyysv. Give prob of sequence tys.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -350, -537, -740, -965, -1218, -1505, -1832?\nAnswer: -2205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or -14583\/10?\nAnswer: -14583\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -53 + 3. Suppose 2*s = -5*v + u, 0*s = 4*s. Solve -22 = -v*q + 3*p, 3*p = -q - 0*p + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v + 13. Give a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 472134?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*y + 3 + 1 + 14*y)*(-357 + 359 + y**2 + 6*y**2) to the form m*y + o + f*y**2 + z*y**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 0.452?\nAnswer: 4.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/18, 0.4, -3, 8, -0.0145 in increasing order.\nAnswer: -3, -1\/18, -0.0145, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 41, 0, 6\/37, 79, -0.06, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(88) - (sqrt(88) + sqrt(88)*-3*1)) + sqrt(88) + sqrt(88))\/(3*sqrt(128)).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20792 - -20795. Sort j, -6, 0.2, -0.98 in decreasing order.\nAnswer: j, 0.2, -0.98, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2287 * 179\nAnswer: 409373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 120541.\nAnswer: -10\/120541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 100111100010001011100100100?\nAnswer: 100111100010001011100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.272295 millilitres in litres?\nAnswer: 0.001272295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 n when four letters picked without replacement from njjnjjjrnnnnnnjjnn?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -495, -474, -453, -432?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72170515, -72170516, -72170517?\nAnswer: -72170518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96130 and 6650.\nAnswer: 63926450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**3 + 30*x**2 + 2*x + 23. Give g(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23889642, 23889639, 23889636?\nAnswer: 23889633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*v = -478*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13208 divided by -104\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -2*m. Let h be (-252)\/624 + (-6)\/(-39). Put m, 1\/2, h, -4 in increasing order.\nAnswer: -4, h, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/(-306))\/(3\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*o - 2 + 29, 2*m = -5*o + 15. Let z = 375 + -376. Let j = m + z. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -21, 13, -1.\nAnswer: -21, -1, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 3, o: 2, z: 3, k: 1}. Give prob of sequence ovk.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 4*n**2 - 5*n - 5. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1)**(-12\/11)*(k\/(k**(-1\/13)\/k))\/(k\/(k\/(k\/(k*k\/k**(-2))*k))))**(-33))**(-8) assuming k is positive.\nAnswer: k**(10248\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 201?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-450)\/(-3375))\/((-2)\/(-20))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -0.71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z**2 - 3*z + 13. Let y(g) = 5*g**2 + 2*g - 6. Suppose -5 - 7 = 3*l. Let r(v) = l*m(v) - 9*y(v). What is r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 + 2*w + 4. Suppose 5*f = -c + 24, c = -f + 2*c. Suppose n - 2 = 3*n, -3*v - f*n = -5. Is d(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*64.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + l + 2 + 0*l)*(-4*l**3 - 3*l**3 - 4*l**3) in the form x*l**4 + m*l + o*l**3 + v*l**2 + n and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pydcbcaydpdy. Give prob of sequence cdc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 88\/(-12)*(-1015)\/10*12\/28. Calculate the greatest common divisor of 253 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 17*o. Let s(x) = -57*x + 2. Calculate d(s(m)).\nAnswer: -969*m + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -255*v**3 + v**2 + 52*v - 3.\nAnswer: -1530*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -945614, -1891238, -2836862?\nAnswer: -3782486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/158, 0.2, -2 in increasing order.\nAnswer: -2, 3\/158, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73950*f**3 + 71350*f wrt f?\nAnswer: -443700*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 27*x**2 + 114*x + 68. What is s(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*t - 1 - 2, 2*j + 8 = 5*t. Suppose 0*r = -3*r. Let b = r + j. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 852 + -834. Suppose 13*r = g*r - 7105. What are the prime factors of r?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 5*j + 4*d, -3*j + 5*d = -100 - 17. Let z = 4 + 13. Calculate the highest common factor of j and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 96024\/2232 - ((-275)\/40 + 2\/(-16))?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 42, 112, 210, 336, 490?\n\"Answer: 14*p**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 31485294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6)*(-9)\/(-6). Let n be (-3 + 1)*1 - -1. Let f be n\/2 - (-3)\/6. Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 30.9. Which is the fourth smallest value? (a) -4 (b) n (c) 54 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012618 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3713648 and 3713648.\nAnswer: 3713648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/15)\/((-2)\/10). Suppose j - 95 = -g*j. Solve 1 = 4*y - j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -20, -5*u + 20 = 4*d + d. Suppose -n - n + 46 = d. Let h = -6 + n. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1.5 (b) -3\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18613*n - 29814?\nAnswer: -18613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59151303?\nAnswer: 3, 243421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377895280 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/170747500 and -73\/390280?\nAnswer: 341495000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.26, -23, -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-12)*y)\/y*y*y**11*((y*y*y**(-12))\/y)\/y**(1\/5))**(-1\/16) assuming y is positive.\nAnswer: y**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 6*l**2 - 6*l - 2. Calculate d(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 23*q + 113. Let v be a(-5). List the prime factors of (6739\/69)\/(v\/(-6)).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 + 24*f**4 - 1104*f**3 - 4608*f**2 + 110592*f = 0. What is f?\nAnswer: -16, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8720*q**2 - 24*q - 23. What is the units digit of c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5111 + 5110.4. Let t = 2 + -2.1. Is t greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**13*o**30)\/(o*o**29)**(1\/12) assuming o is positive.\nAnswer: o**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1000111010000100001011 (base 2) to base 13\nAnswer: 639a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11356 - -35941. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5 (b) 0.3 (c) 1 (d) 163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 8. Let f(y) = y**3 + 16*y**2 - 18*y + 3. Is 10 a factor of f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vveammvvavvivve. Give prob of sequence emei.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 772*f**5\/5 + 125*f**3 - 842. Find the third derivative of q(u) wrt u.\nAnswer: 18528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7518713753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 5926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -z - 0*z. Let h = 11 - z. Let r = 134 - 94. Solve -14 - 13 = -h*n - 3*y, -r = -4*n - 5*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*c + 14 - 34 - 5*c**2 + 5*c.\nAnswer: -5*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 32 + -26 + (1 - -7 - (2 + -3)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6581 divided by 76852?\nAnswer: 6581\/76852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 63\/8 of a meter?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 7*p**2 + 4*p + 10. What is the remainder when x(-5) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1416346 and 109\/1022.\nAnswer: 9914422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/5 - (-2 - 0 - 2). Let f(q) = -3482 + 3491 + 0*q**2 - q**2 - a*q. Give f(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 220.806621 minutes?\nAnswer: 0.02190541875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4549 = 7*w - 4570. Let l(q) be the first derivative of 1 + 1\/4*q**4 - 3*q - 7\/3*q**w + q**2. What is l(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2) - 7\/(-4)*11200\/(-3920).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/18 + 1)\/((-1)\/3). What is the hundreds digit of (3 - (-28)\/z) + (-307)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**7\/2520 - 2*m**5\/15 + 12*m**2. Let l(x) be the third derivative of i(x). Let y(t) = 9*t. Calculate l(y(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-62)\/(-62) - (0 + (-166)\/(-16)) and ((-97)\/(-16) - 4)\/(2\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 18*m**2 - 51*m - 653. Calculate the least common multiple of h(-13) and 3.\nAnswer: 9156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -609*i**2 - 8275*i + 8276. Give h(1).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3))**(1\/25)\/(b\/b**(1\/4))**(-20))\/(((b\/b**(4\/7))\/b)\/((b*b\/b**(3\/5))\/b*b)*(b\/((b*(b**1\/b)\/b*b)\/b))**46) assuming b is positive.\nAnswer: b**(-15254\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -341362 by -16.\nAnswer: 170681\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddkdkkkkk. Give prob of sequence dd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4136 and 1316?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n = -36. Let f be (28\/(-35))\/(4\/90). What are the prime factors of (n\/f)\/((-1)\/(-24))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 16*f**2 + 23*f + 74. Let r be g(14). Suppose 2*u + 0*p = -p + 2398, -p = r*u - 4798. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7616 and 23936?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -17*p + 361. Suppose 0 = 11*t - p + 9. Solve -r = -b - 3*r + 1, -4*r + 14 = -t*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 5. Calculate the greatest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18597 + 0.01403. What is the closest to -1210 in g, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/34860 and -25\/428.\nAnswer: 3730020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:25 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 7. Let g(v) = 3*v - 4. Let x be g(3). Let y be h(x). Does 11 divide y - 132\/(-6 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - y + 306 = 0, 2*c - 7*c - 5*y = -770. Calculate the least common multiple of 88 and c.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Suppose 2*d = -k*d. Let s = -0.01 + 0.11. Which is the nearest to d? (a) 5 (b) 2\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 22440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 68. Let g = -9 - j. Let n = g - 1. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19621 is divided by 876.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 + 15*t**2 + 6*t + 42. Let u(f) = 2*f**3 - 18*f**2 - 5*f - 45. Let a(g) = 4*u(g) + 3*x(g). What is a(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 19.5. Let i = -415\/2 + 210. Which is the closest to 4.2? (a) 0 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 + -108. Find the third derivative of -13*s**2 + 47 + 20*s**5 - u wrt s.\nAnswer: 1200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5093694?\nAnswer: 2, 3, 43, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 6. Suppose -10*m + 24 = -6*m. Let o be (-21)\/(-9) + 4\/m. Suppose -2*d = 2*i + 12, -o*d - 12 = -2*i + 4*i. Give h(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7271056 to the power of 1\/2, to the nearest integer?\nAnswer: 2696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -38339 rounded to the nearest 100?\nAnswer: -38300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 12:08 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*i**3*m**4 + 7*i**3*m**2 - 7988*i**3 wrt m?\nAnswer: -252*i**3*m**3 + 14*i**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.04 + -7. Let k = x + 6.06. Let r = k - 11.2. What is r 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 -12*q**2 - 6*q**2 - 1 - 14*q**2 + 1 + 38*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 11*c**2 - 5*c - 12. Suppose -4*x = x + 45. Let l be k(x). What is l rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 475*h**3 + 476*h**2.\nAnswer: -h**2*(h - 476)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.6, -0.07, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1245 times -2?\nAnswer: -0.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -72, -250, -600, -1182, -2056, -3282, -4920?\n\"Answer: -10*a**3 + 4*a**2 - 8*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 595002191 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 less than 141.5739398304?\nAnswer: 141.4239398304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1548618*t**3 - 774999*t**3 - 774593*t**3.\nAnswer: -974*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 6*y**2 - 6*y + 5. Let w be x(5). Suppose w = -15*k + 26*k - 22. Let m(v) = -10*v**2 + 2*v + 1. What is m(k)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 16 in ascending order.\nAnswer: -12, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/133 + (-76)\/112.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxlf when four letters picked without replacement from exzxflezflxzexflff.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.4 (c) 3 (d) -0.3 (e) 22.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:14 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9042 = -211*g - 1235 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57851933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (78 - 2) + 3 + 2. Let w = f + -76. Solve k - 4 = n, 4 = -k - w*n + 2*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/78)\/(2*4\/1824*116\/29)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -266 (c) 40\/13 (d) -3\/5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272 + 17486 = -893*i + 1033 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 - 69*d. Let p(s) = 9*s**2 + 134*s. What is -11*k(z) - 6*p(z)?\nAnswer: z**2 - 45*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/18 and -59\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 15 (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4.4 (b) 9 (c) 3\/7 (d) -2\/15 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 11*c - 21. Suppose 3*g - 59 + 20 = 0. Let t be h(g). Let x(s) = 11*s**2 - s - 13. What is the tens digit of x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i - 26 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 18. Calculate s(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186 + 2243?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:26 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116044 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-1566))\/5*63\/((-70)\/(-10))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**3 + 14*i**3 + 11*i**3 - 33*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*z**3 - 368*z**3 + 1403*z**3 - 502*z**3.\nAnswer: 106*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4926+0\nAnswer: -0.4926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3922.7 rounded to the nearest 10?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 5*o**2 + 10*o - 8. Let v be r(6). Let u = -7 + v. Is u at most as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34 and -43?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = d - 4*d + 64, d = 3*v - 152. What is the highest common divisor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u**3 + 4186030 - 4186030 + 20*u**3 - 517*u**3.\nAnswer: -522*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18109\/8 + 2255. Find the common denominator of -127\/6 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3*m + 1. Suppose z - s - 4 = 0, -2*z - s + 4 = -z. Suppose z = u, -u = -5*p - 6*u. Let h be c(p). Solve -h*k = -3*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**4 + n**3 - n**2 + 1. Let c(f) = 124*f**4 - 4*f**3 + 4*f**2 + 93. Let d(r) = -c(r) - 4*k(r). What is the first derivative of d(y) wrt y?\nAnswer: -528*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 36898.\nAnswer: 36902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4997 - 4997 - 58*q)*(q**4 - 2*q**4 + 3*q**4 + q**4 + 0*q**4 - 3*q**4 + (1 + 2*q**3 - 1)*(-6*q + 4*q + 0*q) + 4*q**2 - q**4 - 4*q**2).\nAnswer: 290*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1163580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -21 (b) 2\/5 (c) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**5\/60 - k**4\/4 - k**3 + 14*k**2. Let h be x(-3). Let q(n) = 4*n + 19. List the prime factors of q(h).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/60)\/((-2)\/(-8)*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116815 - 125296 = 5287*d - 122280 + 112797 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 8:00 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4047927 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*h**2 - 4*h + 123?\nAnswer: -40*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 0 - (10 - 7). Suppose -4*s - 13 = -f + 1, -2*f - 4*s - 8 = w. What is the greatest common divisor of 22 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100 (base 2) to base 6.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = -20*c - 378. What is the least common multiple of 441 and c?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 20*y**2 - 2*y + 1. Is q(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27537.6464 + 6.3536. Let z = 27561.433 - c. Let x = 17.3 - z. What is x rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13312 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -z + 4*z + 21, -3*z = -4*c + 30. Solve -3*p + 11 = 8*k - c*k, -p - k - 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/22 and -53\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w + 57*w = -h - 6, -5*w = -5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + (5 - (-8 + 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t + 55*t + 33 = 0. Let d(g) = 0*g - 15 - 3*g - g + 0*g. Let u(h) = -2*h - 8. Suppose 0 = 2*v - 14 + 2. What is t*u(z) + v*d(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k, 4*r - 9202 = k - 3*k. Let s be 3\/(-5) + 2078\/r. Let u = 2\/575 - s. Calculate the common denominator of 89\/4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = -4*x, -2*t + 6 = 4*x - 0*t. Let g be 49\/(-55) + x\/(-10). Which is greater: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 896 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a*h*v**2 + 47001*a*h*v + h**3*v**2 + h**3*v - 2688*v**2 wrt v?\nAnswer: -22*a*h + 2*h**3 - 5376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 3 (c) -1\/6 (d) -0.3 (e) 2\/9 (f) -0.1 (g) 165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let m = -3 + 2. Let t be (m - 0)\/((-2)\/10). Solve -v + t = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*g - 4*y - 15, 0 = 3*g - 5*y - 7. Let z = -100 - -113. Put -3, z, g in ascending order.\nAnswer: -3, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/8 - 987*p**3\/8 - 20901*p**2\/2 - 99387*p\/2 - 39366 = 0. Calculate p.\nAnswer: -162, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + z + 21. Let r be -2 + -3 + 6 + 2. Suppose -r*b + 3*d + 111 = 0, -5*b - d + 120 + 89 = 0. What is the remainder when b is divided by y(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**6\/120 + h**5\/60 - h**4\/24 + 11*h**3\/6 + 2*h**2. Let u be j(0). Let k = 17 - u. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10804600 to the nearest one hundred thousand.\nAnswer: 10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**3\/6 + c + 957. Let x(y) = 2*y**2 - 5. Let u(m) = -m**2 + 2. Let d(v) = 5*u(v) + 2*x(v). What is q(d(p))?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2051 and 13185.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0349 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) + 368\/80. Let r(h) = 10*h - 16. Let l be r(v). Suppose o + o = l. Solve -4*q = -x - o, 3*q - 7 - 3 = -2*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 755*g - 21744. Give d(29).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/27 and 113\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 2, b: 5}. Give prob of sequence lml.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l = -43*l - 33. Let c be ((-5)\/l)\/((-1)\/(-3)). Suppose 0 = 2*t + 3 - 1. Sort c, -4, 9, t.\nAnswer: -4, t, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 504 - 565. Let n = 790 + u. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 124241 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.16 * -1215.6\nAnswer: -1410.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 273\/((-35217)\/(-516)) + ((-531)\/165 - (-6)\/(-10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4369 and -1.2.\nAnswer: 5242.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319644?\nAnswer: 2, 3, 13, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-56)*8\/((-720)\/70).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 123\/12 + 7\/(-28). Let g be 3 + 365\/(-125) - (-1722)\/350. Solve 2*h - p = -5, -g*h - 3 - s = -2*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 + 275664*u - 9498830112 = 0. What is u?\nAnswer: 68916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1764077 to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -222 + -1294?\nAnswer: -14b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349912, -1397641, -3143856, -5588557, -8731744, -12573417, -17113576?\nAnswer: -22352221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 534262 (base 10) to base 3\nAnswer: 1000010212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 216\/21 - (-6)\/(-21). Let d = z - 6. Suppose 2*y - y = -d*k + 5, 1 = -k - y. Solve -13 = -5*b - k*n + 2, -2*n + 10 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223955503?\nAnswer: 251, 892253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/18*12\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 945199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*y - 33*y - 26. Suppose -4*p - y = -3*a + p, 2*p = -4*a. Solve -2*z + z - 17 = -5*j, a*j - 2 = 2*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*f**2\/2 - 833255*f - 151500.\nAnswer: -5*(f + 30300)*(11*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:35 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7925000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185422 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-27)\/i))**(1\/20) assuming i is positive.\nAnswer: i**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 1:41 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441*-3.\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 9. Let j be a(-9). Is 0 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u*y**4 - 8*u*y**2 + 4*u*y - 3*u + 156*y**5 + y - 6 wrt y.\nAnswer: -36*u*y**2 - 16*u + 3120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.23 + 1. Let v = r + 0.13. Which is the second biggest value? (a) 1\/2 (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25990?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.03439.\nAnswer: 0.06878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 16662.\nAnswer: 799776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -87272 divided by -1632\nAnswer: 10909\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3777 - 3777 - 14*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 6 - (0 + -2 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/8? (a) -0.5 (b) 17018 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 92803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 44*a**2 + 417*a + 330. What is b(-15)?\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*q - 1. Let j be 24 - -4*(-3)\/6. Suppose -4*g + 3*o + j = 0, -2*o - o = 5*g - 14. Solve 8 = 3*u - 4*w, -u = g*u - w - q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0 - 1\/3*h**3 - h - 6*h**2. Does 3 divide t(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110001001111000 (base 2) in base 16?\nAnswer: 8e278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 399218.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 5\/21*n**4 - 4\/21*n**3 + 1\/60*n**6 - 23\/210*n**5 - n**2 + 0*n + 0. Factor m(z).\nAnswer: 2*(z - 2)*(z - 1)*(7*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*o - 3. What is the closest to o in -5, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7\/16, 2, 4 in decreasing order.\nAnswer: 4, 2, -7\/16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 0. Let i(t) = -t + 1. Let x be i(o). Let n = 0 + x. Which is the nearest to 0? (a) n (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -4)\/((-26)\/4). Let a = -2798 - -11191\/4. Let x(v) = -v**3 - 5*v**2 - 3*v + 3. Let d be x(-4). Put z, a, d in decreasing order.\nAnswer: z, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 34*b**3 - 5*b**2 - 4*b + 19. Is p(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.408 + -0.1568. What is w rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 3*v. Suppose 4*u + 4*t = 28, -2*t - 20 = -7*t. Calculate k(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 298 (b) -70 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, g: 1, q: 3, k: 1, u: 2}. What is prob of picking 1 k and 2 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 22152?\nAnswer: 420888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303594, 306365, 309136?\nAnswer: 311907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 63 = -2*r. Let x(n) = n**2 - 2*n + 128. Let b be x(0). Let k = b + -67. What is the remainder when k is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(91) - sqrt(91))\/sqrt(7) - sqrt(975)\/sqrt(3))*2.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 + 4\/24. Let b(m) = m**3 + 3*m**2 + m + 3. Let w be b(-3). What is the nearest to 0 in w, v, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -157923 and -157922 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -5, 97, -4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 0.1238.\nAnswer: 5.1238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 22 + 14 + 12. Put 5, 3, k, -1160 in ascending order.\nAnswer: -1160, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -2313003?\nAnswer: 2313020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**3 + 19*x**3 + 3*x**3.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73000*o + 70052?\nAnswer: 73000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 591126761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1*(2 + sqrt(17)) + sqrt(17) + sqrt(17) + sqrt(68) + sqrt(17) + sqrt(17) + -3)*5)**2*-1*-3.\nAnswer: -1050*sqrt(17) + 62554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*w + 36 = 0. Sort 23, w, -5.\nAnswer: -5, w, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1637159*b - 2*r + 4 = -1637161*b, -b = 4*r + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59314 a multiple of 631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*((sqrt(5) - sqrt(40)\/sqrt(8)) + -2) - (sqrt(2880)*-1 + sqrt(2880) - sqrt(2880))*-6.\nAnswer: -144*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 38*f**2 - 464*f + 1120.\nAnswer: 2*(f - 5)*(f - 4)*(f + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2330 and 36814.\nAnswer: 184070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9222 minus -5.2?\nAnswer: -9216.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 11\/(44\/(-8)). Let q(g) = -5*g**3 + 3*g**2 - 2*g + 3. What is q(p)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/120 - 7*z**5\/60 + 11*z**4\/24 - z**3\/3 - 4*z**2 - 3*z. What is the least common multiple of 87 and g(5)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) + (-2)\/(-6). Let u be (j + -2)\/((-1)\/2). Let w be (0 - u\/4)*-8. Is w equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 297459039?\nAnswer: -297459043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 11 + -25 + -12.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.21 - -0.3. Let d = -0.09 + i. Which is the closest to -1? (a) -0.3 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 3*o**2 - 4*o. Let j(p) be the third derivative of p**6\/720 - p**4\/24 + p**2. Let k(q) be the second derivative of j(q). What is v(k(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(44)\/sqrt(4))*4 + 4)**2*5.\nAnswer: 320*sqrt(11) + 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 98, 223, 408, 659, 982?\n\"Answer: c**3 + 21*c**2 + c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-4 - 0) - -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47\/33 + 12\/11. What is the smallest value in 3, t, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/3 - 5271122*t**3\/3 + 1543596537840*t**2 - 452027839204252800*t + 452026295609472000 = 0 for t.\nAnswer: 1, 878520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -55135*u - 203. Let g(r) = -r. Give h(g(c)).\nAnswer: 55135*c - 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67.5 - -5.5. Let p = 59.77 + r. What is p rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2069 and -0.06.\nAnswer: 124.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -490, -1327, -2516, -4051, -5926, -8135?\n\"Answer: u**3 - 182*u**2 - 298*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 143228 divided by 4\nAnswer: 35807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*y = o - 6412, 20 = 5*y. Suppose 2*d - o = 4188. Let z = -694 + d. Round z to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w = -70*w + 31*w - 24 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (-6*-1*sqrt(1584) - (sqrt(1584)*2 + 5)) + 0 + 0)**2*-4.\nAnswer: -101440 + 1536*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77352?\nAnswer: 2, 3, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {u: 2, p: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9437.16128 rounded to the nearest ten?\nAnswer: -9440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51332 is divided by 248?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 25*m. Let d(k) = -24*k + 1. Calculate -2*d(x) - 3*s(x).\nAnswer: -27*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 216*k**6 + 3059*k**5 - 7*k**3 - 310*k**2 + 2157*k + 1 wrt k?\nAnswer: 25920*k**3 + 183540*k**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/330 and -73\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + -0.07017. Round s to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 34*a. Let z(n) be the second derivative of -n**4\/6 - 4*n. What is z(o(s))?\nAnswer: -2312*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 - 63*p + 21. Let d = 13 + -6. Calculate the lowest common multiple of d and n(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21266260?\nAnswer: 2, 5, 23, 83, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1430)\/(-22880)*64\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(63) - (sqrt(63) - 1*(sqrt(4032) + sqrt(63)))) + 2))**2.\nAnswer: 1728*sqrt(7) + 81712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1833136064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2. Let v(n) = n. Let f(j) = j**2 + 3*j. Let b(w) = f(w) - 3*v(w). Determine d(b(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 4*q**2 + q**3)*(-2 + q + 2) + (-2*q + 2*q - 2*q)*(0*q + 0*q + 2*q**3).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1361 + 1361. Suppose -15 - 5 = 5*n. What is the closest to 0 in n, -38, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 2, c: 1, f: 1, v: 2, o: 1}. Give prob of sequence oc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694828 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1404\/(-12))\/39*208\/24?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 13. Suppose -5*y - 56 = -w, -35 = 10*y - 7*y - 2*w. What is v(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 594*q. Let l(c) = 968*c. Calculate l(f(a)).\nAnswer: 574992*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 2, b: 1, q: 1, e: 1}. What is prob of picking 1 b, 1 e, and 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -8 + 3. Let z be y\/(1\/(-2)) - -19. Let p = z - 16. What is the nearest to -1 in -0.5, -2, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198570 and 2290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3181.403999 to 1 dp.\nAnswer: -3181.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 412, 411, 410, 409, 408, 407?\n\"Answer: -a + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80068 and 0.05.\nAnswer: -4003.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 674112.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(8\/5)*((l*l**(-25))\/l)\/l*(l**(1\/24)\/l)\/l**(-12) assuming l is positive.\nAnswer: l**(-1603\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (0 - (4 + 3 + 5 + -9)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3568 - -5336. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19289*g - 48 = -19301*g. Solve g*b = -11*b - 60 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from kckktsssscsskktkkkk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-1657*(-7 + 0 - -6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 27. Suppose -x + 15 = -3*h, 0 = -7*x + 2*x + 3*h + m. What is the second smallest value in x, 0.2, -3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 3*h + h)*(-4 + 3*h**2 + 4).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a - 2*k + 1442, 4*a + k = 1916. Suppose -g - 4*o = -474, g - 10*o - a = -13*o. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 5. Let p be c(-3). Solve -2*s + 0*s - 7 = a, -32 = 4*s - p*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -24*c**3 - 26*c**2 - 30. Is x(-5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 14 + 114*u**2 + 15 to r*u**2 + c*u + i and give r.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -370*k**7\/7 - 2*k**3 - 43*k - 37. What is the third derivative of i(c) wrt c?\nAnswer: -44400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 11 + -19 - (10 + 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 6:05 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 - 1. Let o be i(1). What is the units digit of 10\/o - (-3)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*1193047\nAnswer: -7158282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 r when three letters picked without replacement from {w: 2, q: 2, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5 + 41*r + 49*r - 92*r. Suppose -3*s = 2*o + 6, 2*o - 2*s = s - 18. Determine w(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2845*d + 8737. What is b(3)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1212239 + 1212239 + 3*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 2)*(-2*o - o - 2 + 4*o)*(23107*o - 70848*o + 23411*o) as n + g*o**2 + k*o and give g.\nAnswer: -24330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6 = 34. Suppose x = 4*h - 2. Let m be -2 + 1 + -1 - -3. What is the greatest common divisor of h and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 21 = -3*q, -q - 3*q + 36 = -4*j. Let t be (15\/10)\/(q\/20). What is the second derivative of t*v**5 - 7*v + 233*v**2 + 4*v**5 - 233*v**2 wrt v?\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 627 - 203683*f**2 - 2766 + 203685*f**2 in the form x*f + w*f**2 + q and give q.\nAnswer: -2139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*a - 24530 = -4295*a - 142515 - 21215 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9630380 divided by 2407595?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2833, 12 in descending order.\nAnswer: 2833, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = -5*i + 91, -5*d + 58*i - 53*i = -65 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -5889 + 12676. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/7 greater than -2\/2707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/7*k**3 + 0*k - 2\/7*k**4 + 0 - 2\/7*k**2 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 20 - (-1 + 28 + -22).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 5*n - 6. Calculate the remainder when -2 + 2\/1 + 69 is divided by u(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-3528)*56)\/((-3)\/33).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2330220 - -12?\nAnswer: 2330232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 36, -5, 4, -0.1, -14\/37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218805 is divided by 109370.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-174)\/64)\/(-3). Let f = -235\/1824 + z. Let c = 19\/7 - 81\/35. Which is greater: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (-1*(-1 + sqrt(175)))**2 - (sqrt(175) - 5*sqrt(175)*1))*-3.\nAnswer: -105*sqrt(7) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.32 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 15) to base 3\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 427114, 1708481, 3844090, 6833935, 10678010, 15376309?\n\"Answer: -d**3 + 427127*d**2 - 7*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (700\/(-176))\/(-7) - (7 - 50\/8)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47190 and 30810.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6795 - 5897. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/(-3)*(-5)\/3. Let f = i - 12. Sort f, -2, -0.07 in decreasing order.\nAnswer: f, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 29 = 4*j + 75, 0 - 8 = 4*m for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -38, -87, -190, -365, -630, -1003?\n\"Answer: -3*i**3 + 8*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -3, -5, 1.4, -63, 3 in increasing order.\nAnswer: -63, -5, -3, 3\/5, 1.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 203.94 in 5\/17, 3\/8, -0.05?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1201 - -1219. Solve -22*l - a = -16*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219710844.\nAnswer: 2, 3, 29, 229, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 18*q**2 + 5*q - 27. Let i be k(-19). Suppose 4*z - 259 = -i. Suppose -4*o = -6*o + 90. What is the greatest common factor of o and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c. Let d(n) = -37*n. Calculate z(d(m)).\nAnswer: -74*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74243 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*h - 119*h - 1971 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 226578, 515, -2 in increasing order.\nAnswer: -2, 515, 226578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76702869*a**4 + 16856*a**2 - 1305?\nAnswer: -1840868856*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 j, and 2 k when four letters picked without replacement from kttkjtltjjjljtjkttt?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -89*l**2 + 33*l - 4. Let u be d(-7). Let g = u - -91891\/20. Find the common denominator of (11\/(-8) - 0)\/(-2) and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 3. Let r be n(-5). Let w be (-46)\/r - (-8)\/(-2). Suppose 0 = 21*s - w*s - 78. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 7 = -3*i, 4*t = 5*i - t - 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3580821 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -278, 5 in increasing order.\nAnswer: -278, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/4)\/(4*(-9)\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 30*k**2 - 5. Let z(b) = 60*b**2 - 9. Let c(r) = 9*i(r) - 5*z(r). Let h(g) = 16*g**2. What is c(h(w))?\nAnswer: -7680*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 643, -715 in ascending order.\nAnswer: -715, 3, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 1. Let b(q) = -11*q**2 - 13*q + 24. Let x(s) = b(s) - 6*r(s). Factor x(z).\nAnswer: (z - 10)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4139*d + 491*d + 1074*d + 911*d to the form b*d + a and give b.\nAnswer: -1663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1903 is divided by 393?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4384 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/5 - (-48)\/(-8). What is the closest to 2\/7 in 2, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 13*b**2 - 16*b - 20. Let k be u(-9). What is the highest common factor of 5600 and k?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4437907?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, -1, -0.1, 1\/898 in ascending order.\nAnswer: -4, -1, -0.1, 1\/898, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 625710 and -0.4.\nAnswer: -250284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -6 (c) 2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -13, 2, 0.4, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -10. Let q(a) = -a**2 - 10*a + 3. Let u be q(-9). Let h(t) = -2 - 6*t**2 + u*t**2 + 4 - 7*t - 5*t**2. Give h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8539 > -8539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1404, 11127, 37516, 88905, 173628, 300019?\n\"Answer: 1389*n**3 - n**2 + 3*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 316.\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klkk when four letters picked without replacement from {k: 3, l: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - -186317.\nAnswer: 186271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o + 10 = 0. Suppose 4*a - 19 - 20 = -f, -o*a + 96 = 3*f. Is (-72)\/f*18\/(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/378 and -101\/1836?\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 32\/(-64))\/((-10)\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-3))*k**(3\/5)\/k)\/((k\/((k*k\/(k*k*k**(-1\/2)))\/k))\/k**(-2\/5)))**(-1\/33) assuming k is positive.\nAnswer: k**(-7\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, 1\/10, 2\/33, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -17 - -3 - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*c - 15, 7 = -5*p - 5*c - 8. Let t = -82.4 - -77.4. What is the fourth smallest value in 5, t, 0.4, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/500 and 11\/10.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.215 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -186, -187?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 47087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (-16 - -26 - 39).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.49 - 4.81\nAnswer: 2.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (110\/33 + -4)*-6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -21034\nAnswer: -8\/10517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9628, 9603, 9540, 9421, 9228?\n\"Answer: -3*w**3 - w**2 - w + 9633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 37902339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g - 3. Let y be p(-5). Let i = y + -11. What is the remainder when i is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/18, -1\/8, -0.1, 178, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3 = -3*d. Sort 5, d, 1.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(684) + 5 + 0 + sqrt(684) + sqrt(684) + (sqrt(684) - 2*sqrt(684)*6)))**2 + 3 + -2.\nAnswer: -13824*sqrt(19) + 701713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -907 - 14.4?\nAnswer: -921.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18509.889 months to years.\nAnswer: 1542.49075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-1512)*(-10)\/7)\/(10\/12)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 b, and 1 g when four letters picked without replacement from {z: 1, a: 1, g: 1, b: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d (base 15) in base 5?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 4*d**2 - 8*d + 13. Let a(s) = s**3 + s - 2. Let h(x) = 3*a(x) + r(x). Determine h(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/21 in -8, -0.5, -35, 3, -13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 1\/6 (c) 40 (d) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25\/4 or 11833?\nAnswer: 11833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2. Let k(i) = 16*i**2. Let u(r) = r**2. Let d(z) = -3*k(z) - 3*u(z). Calculate d(x(b)).\nAnswer: -459*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + m + 15 = 0, 0 = -4*w + 4*m - 5 + 25. Suppose w = 3*h - 7. Find the second derivative of h*u - 6*u + u - 2*u**4 wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5 + 6510*p**4 - 3518616*p**3 - 14185338*p**2 + 3518619*p + 14178828 = 0. What is p?\nAnswer: -4, -1, 1, 1087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37060571?\nAnswer: 37060571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50\/9 + 16\/3. Which is greater: y or -99?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -41. Let t = m + 32. Does 25 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7355)\/(-3) + 4\/(-6). Let w = z - 22081\/9. Find the common denominator of 65\/3 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 3*z**2 - 7*z**2 + 2*z**3)*(-z + 7*z - z).\nAnswer: 10*z**4 - 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2892726 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*s + 2*k, 2*k + 5 = 3*s - 7. Suppose s*y - 34 + 4 = -n, -2*n = 0. Factor 0 - 7 + 1 + 20*q**4 + 1 + 25*q**3 - 25*q - y*q**2.\nAnswer: 5*(q - 1)*(q + 1)**2*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400329234, 800658469, 1200987704, 1601316939, 2001646174?\nAnswer: 2401975409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (123\/39 - (-2 + 5))*1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.141 and 760403.\nAnswer: 760403.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41145 and 21645?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 597 or 594?\nAnswer: 594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200629145 to the power of 1\/3, to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/4 - 49*o**2\/2 + 39163*o\/4 + 1021850 = 0. Calculate o.\nAnswer: -191, -107, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3172 - -21682. List the prime factors of u.\nAnswer: 2, 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.687 - 128.373. Let y = k + 131. Let v = 0.06 + y. Which is the smallest value? (a) 1 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -12)*-5*2. Let c(p) = p - 23. Let u be c(24). Let m be (u - 11\/9) + 184\/18. What is the highest common divisor of z and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(2\/87)*(p**1\/p)**(-2\/3) assuming p is positive.\nAnswer: p**(-2\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**2. Let v(d) = -2*d + 1. Let a be v(-1). Let z(c) = c - 1. Let w be z(a). Let f(h) = -2*h**2 + 4*h**2 - 5*h**2 + 4*h**w. Give f(p(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 260159113, 520318227, 780477343, 1040636461, 1300795581, 1560954703?\n\"Answer: w**2 + 260159111*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 7*w**2 + 5. Let n(i) = 5*i - 1. Let l be n(1). Let d be k(l). Is (-4)\/3 + d\/(-3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11634, 11598, 11562, 11526?\nAnswer: 11490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + c = 10, -5*l + c - 19 + 3 = 0. Put -5, l, -57, 5 in descending order.\nAnswer: 5, l, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1075 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71950 - 1799044\/25. Is -13 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*n + 347*n - 1568 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -331?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 390 + -a07?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 - 10*x - 7. Let w(n) = -13*n**2 - 19*n - 14. Let m(f) = 11*v(f) - 6*w(f). Let l be m(0). Solve o + 4*y - 19 = 0, o = 2*y - 3*y + l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -16*f. Let p be ((-9)\/(-12))\/((-3)\/12). Let z be r(p). Suppose 3 = -c, c = -3*d - 4*c + z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 16, p: 4}. What is prob of picking 2 f and 2 p?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 223405 (base 7) to base 5\nAnswer: 2232041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qty when three letters picked without replacement from {x: 1, v: 3, t: 4, q: 5, y: 1, m: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13*p - 34. Let l(s) = s - 8. Let q be l(11). Let d be 2 + 14*q\/6. Let w be f(d). Round w to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735)*-1)\/(sqrt(80)*-1 - sqrt(80)) - (-2 + (sqrt(363) - 6*(sqrt(363) + 1)))**2.\nAnswer: -9139 - 7033*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1)\/g)**(-12)\/(((g**6\/g*g)\/g)\/(g**(1\/4)*g)))**(-19\/4) assuming g is positive.\nAnswer: g**(-627\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(2*z**2 + 2*z**4 - 2*z**2) + 0*z**4 + 0*z**4 + 2*z**4 + (150 - 28 + 21 + 380)*(-z**4 + z**4 + z**4).\nAnswer: 527*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 18*h**2 + 29*h + 26. Let m be c(26). Suppose -8*o + m = 9*o. List the prime factors of o.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -266891\/546 - -6366\/13. Calculate the common denominator of u and 3\/(-13 + (-14697)\/(-1143)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22577 (base 9) to base 15.\nAnswer: -46da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1086, -1324, -1716, -2262, -2962, -3816, -4824?\n\"Answer: -77*k**2 - 7*k - 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = n - 68. Solve n*z = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1036*b + 14710 = -206*b - 50030 for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w + 5*u = -66*w - 25, -2*w = -10*w + 4*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-322)*23*-1.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 117029923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o - 4. Let t(l) = -2*l + 2. Let j(x) = -3*x + 3. Let m(s) = -5*j(s) + 7*t(s). What is -a(k) + 4*m(k)?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*z**3 + 20*z - 73*z**3 + 1 - 137*z**3 + 0.\nAnswer: -167*z**3 + 20*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.87 + -0.13. Let p = -1523 - -1522. Which is the nearest to p? (a) -1\/30 (b) 1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129\/35 - -30\/7. Let o = 3.8 + -0.8. Let w = -0.01689 + 0.31689. Put o, w, -4, u in increasing order.\nAnswer: -4, w, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -5*h + 3*h. Let f = h - 37. Let g = 164 + f. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -0.061392. What is x rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12110 (base 3) in base 12?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 110753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 3*f. Let j(h) = -8*h - 2*h + 2*h - h**3 - h**3. What is -3*j(a) - 8*t(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2 + sqrt(1053) + sqrt(1053) + -1 - sqrt(1053)*-1*4)*-1)**2 + 2*sqrt(1053)*1 + (sqrt(1053) + 2)*3.\nAnswer: -279*sqrt(13) + 37926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10514, 43372, 98576, 176126?\nAnswer: 276022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 4*q - 8. Suppose y = 4 + 7. Let z = 2 - y. Is r(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159232.79 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(297))\/sqrt(9))\/(sqrt(22)\/(sqrt(12)\/sqrt(6))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 134163317 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.14 (b) 1 (c) -5\/486\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 370013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: c3 (base 13) to base 11\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63795\/2861 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38984 and 31896.\nAnswer: 350856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.365845 rounded to one dp?\nAnswer: -59.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -202?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 7. Let k be h(4). Let m(o) = -4*o - 3 + 4*o + o**3 + o + 12*o**2 + k. Let q be m(-12). Solve -g - 1 = -4*x, 5 = -9*g + q*g + 5*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 31. Suppose p - 46 = -5*b + 2*p, y*b - 4*p = 34. What is the least common multiple of 14 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-180)*(-9)\/(-12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.319 * -246.\nAnswer: -78.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25718376 a multiple of 2441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 4*(-9)\/((-9)\/14) + (-53 - -46)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(28)\/sqrt(4)*-4 - (sqrt(112)*-2 + -1 - sqrt(112))))**2.\nAnswer: -160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9357605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 5*k + 170420 - 170460, -1 = -2*g - 5*k for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 + 92*h + 1382. Does 36 divide f(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 5 = 7*n. Let h be ((-2)\/n - 0)\/(-1). Let i be (h\/(-4))\/((-5)\/260). What is the greatest common factor of 65 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**3*u + 5326*f**2 + 2*f*u - 8831*u wrt f?\nAnswer: -42*f*u + 10652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 4:51 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37136 rounded to 2 dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.19 (b) -4\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 2. Let y be g(2). Let f = -127283\/5 - -25350. Let u = 106 + f. Which is greater: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -705.3 and -0.2206?\nAnswer: 155.58918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -340 - -342. Suppose -10 = -2*b, 3*f + 7*b = -y*f + 40. Which is bigger: 170 or f?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200010102 + 120020210?\nAnswer: -1002212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.3834877 rounded to 1 dp?\nAnswer: -18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9927267 and 132.\nAnswer: 436799748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 0.239264?\nAnswer: 0.060736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439927817.\nAnswer: 7, 37, 191, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239096\/78 - 14\/6.\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4709523 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*t + 63*t = 0. Solve 26 = 4*h - 2*w, -4*h + 5*w + 35 = -t*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.19 (b) 17 (c) 3 (d) 0.014\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -514*((-1)\/(-5))\/(6\/(-15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8140183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 + 16*z**2 + 6*z - 6. Let w(m) = -m**3 - m**2 - m + 1. Determine -t(n) - 6*w(n).\nAnswer: 2*n**3 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 2. Let r be a(-2). Let h(z) = z**3 + z**2 - 17*z + 10. Let i be h(-5). Sort r, i, -4 in decreasing order.\nAnswer: r, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 1 p when three letters picked without replacement from {i: 3, w: 4, j: 4, h: 1, p: 5, l: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.9573021 - -0.2\nAnswer: -0.7573021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186050 and 22570?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4141 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {p: 4, w: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.8 and -77260.5?\nAnswer: 77254.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 0.3, -28\/15?\nAnswer: -28\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 - 19*l**2 - 14*l - 4. Give h(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3475545*g*n - 1008007*n + 1 wrt g.\nAnswer: 3475545*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:59 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*((-10)\/15 + -3). Let h(k) = t*k + 3*k**2 - 9 - 11 + 18. Let m(i) = i**2 + 5*i - 1. What is 3*h(x) - 7*m(x)?\nAnswer: 2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 9:21 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 1 = -3*y. Suppose 2*i - 16 = -4*r, -14 = r - 4*i - 0*i. Solve -2*d - d = 4*x - 4, 5*d = r*x + y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**3 - 3*m**2 + 6*m - 2. Let y(b) = 8*b**3 - 3*b**2 + 7*b - 2. Let c(d) = -6*l(d) + 5*y(d). Calculate c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862.5906 years to centuries.\nAnswer: 8.625906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + 0. Let r = 0.0334 - -0.1066. Let j = 13.14 - r. What is the nearest to 0.1 in 5, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**2 + 13*l + 0 + 1\/3*l**3. Does 7 divide r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*n + 7102 - 14392 = 0 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 5*t**2\/2 - 29. Let u(w) = 12*w**2. What is p(u(o))?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 133513262 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 - 2)*(r - 4 + 4) - 4*r + 95 - 95 to f*r + m and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 584 - 569. Let w(o) = -5 - 2 + g*o - 11*o - 3*o. Suppose 0*p - 4*v - 47 = -5*p, 0 = 4*p - 4*v - 36. What is w(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24077 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 99*t - 2079. Calculate p(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -74) + (60 - (65 - 15)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 + 4*p**3 + 2*p**3 + p**3 + p**3 + p**3 + (2*p**2 - 2*p**2 + 3*p**2)*(2*p - 3*p + 0*p) + 4*p**3 - 2*p**3 - p**3 - p**3 - 3*p**3 + 5*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 39 = 5*x, 317*x - 24 = 324*x + d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/((b*b\/b**(-3\/2)*b)\/b)*b**23\/((b\/(b*b\/b**(-9\/10)*b*b*b))\/b))**(-2\/149) assuming b is positive.\nAnswer: b**(-254\/745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (951 - 52 - 392)*(-2*o + 2 - 2).\nAnswer: -1014*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 6*b - 2. Let n = 4 + 11. Let f = n - 13. What is the smallest common multiple of k(-4) and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*q**4 + 9*q**3 - 516*q**2 wrt q?\nAnswer: 696*q + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 59 in increasing order.\nAnswer: -13, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 40\/7 + 1. Let g = s - 59\/14. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - g**3 + 1010*g - g**3 - 623*g + 0*g**3 as s*g**2 + p*g**3 + t + x*g and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -662 and -659 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + q - 3*q = -14, q = 5. Let w(y) = i - 3 - 2 - 2*y. What is the units digit of w(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-3)\/6) - -5. Is (1 - q)\/(4\/(-42)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-6)*9\/(-12 - -3). Sort r, 5, -117, -4 in descending order.\nAnswer: 5, r, -4, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62484520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert -18b9c (base 14) to base 13.\nAnswer: -226a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -392 + 392. Let t(w) be the second derivative of 1\/3*w**4 - 10*w + n*w**2 + 0 + 0*w**3. Let c(b) = 2*b. What is c(t(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-18) - 6)*(-3)\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**2 + 3784*y. Let r(u) = -8*u + 2. Give k(r(v)).\nAnswer: 640*v**2 - 30592*v + 7608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448 by -20.\nAnswer: -112\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = 3*d - 4*b, -2*d - 5*b - 344 = -510. Calculate the remainder when d is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-35)\/(-10) + -2)*2. Let h(i) = 2*i**2 + 4. What is the remainder when 42 is divided by h(c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5\/g**(-5)*(g**(2\/5)*g)**40 assuming g is positive.\nAnswer: g**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(sqrt(128) + -1))**2.\nAnswer: -2304*sqrt(2) + 18576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33\/5 - -6. Let z = 15.16 - 0.16. Let k = z - 19. What is the closest to 1 in l, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-839)\/(-6)) + 6\/(-36). Let m = 221 + p. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*x + 12*x + 211*x - 414 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20009740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193.11 + -193.01. What is the fourth biggest value in -2, 487, v, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 15 = -5. Let d be t*2\/(-5) - 27. What is the smallest common multiple of (-20)\/d*(-10)\/(-4) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 0.23. Let d = 5 + -2. Suppose d = p + 1. What is the nearest to h in -1\/4, p, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -86, 29, 314, 853, 1730, 3029, 4834, 7229?\n\"Answer: 14*k**3 + k**2 + 14*k - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19007.\nAnswer: 83, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - -111) + 21 + -104.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -306 + 209. Let z = 112 - x. What is the greatest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-506)\/77*(-56)\/(-40))\/(2\/(-10))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/9 + 3970\/45 + 11 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*5 - (3 - 3 - 101) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)\/d)\/(d*(d**1*d)\/d))**17*(d*d\/d**1)**(-1\/3)*(d*(d*d**6)\/d)\/d*((d**(-4\/3)*d)\/d)\/d assuming d is positive.\nAnswer: d**(-245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:38 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-5) + (-34)\/70. What is the third biggest value in 3.1, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10641256783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**9\/5292 - q**8\/2940 + q**7\/5880 + 9*q**3 + 29. Let f(c) be the third derivative of s(c). Factor f(y).\nAnswer: y**3*(2*y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11061737, 11061721, 11061679, 11061599, 11061469?\n\"Answer: -2*s**3 - s**2 + s + 11061739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 4*n**2 - 5*n + 7. Let x be 2\/((-6)\/(-9)) + 2. Let z be q(x). Find the second derivative of z*t - 2*t**2 - 4*t**2 + 5*t + 0*t wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*c - 3 = 4*l + 8*c, 15*l + 3*c = -27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = 2*m, -3*u - 30 = 5*m - 2*m. What is the tens digit of 10\/(-3)*171\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.5528203 weeks?\nAnswer: 334345717.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2755416 + -5?\nAnswer: -275541b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 212155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1. Let y(o) = 29*o + 29. Determine -58*l(a) + 2*y(a).\nAnswer: 58*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q + 64. Let i be y(-6). Calculate the remainder when 1\/(-4) + i\/16*573 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8209692 + -0.1.\nAnswer: -8209692.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 2\/3*f**3 + 9 + 8\/5*f**2 + 8\/5*f + 1\/10*f**4. Factor v(h).\nAnswer: 2*(h + 1)*(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 7. Let t be (1 - 2)\/((-12)\/(-108)). Let k be t\/15 - b\/5. Let a(d) = -15*d**2 + 2*d - 1. Give a(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:21 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -27*g - 1. Let w(i) = 13*i. What is 2*h(u) + 5*w(u)?\nAnswer: 11*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 35769.\nAnswer: 321921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2. Let z be c(1). Let o = z + -1. Let w(n) = -7*n**2 + 4*n + 5. Let q(l) = 6*l**2 - 3*l - 4. Determine o*q(u) - 4*w(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17932?\nAnswer: 2, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 71807927759 and 1026.\nAnswer: 71807928785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 5 - (-16 - 0)) + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 228*f - 153. Let w(l) = 912*l - 604. Let m(z) = -9*b(z) + 2*w(z). Differentiate m(s) wrt s.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26335 - 26202. What is the remainder when 963 is divided by v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s + 31. Let p(b) = 12*b - 94. Let x(t) = 10*a(t) + 3*p(t). What are the prime factors of x(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 21 = -4*s + 3*v, -2*s = 2*v - 2. Let o(c) = 2*c**2 + 3*c + 2. Let p be o(s). What is the highest common divisor of p and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**3 + 11*u**2 - 2*u + 13. Let a(p) = -5*p**3 - 6*p**2 + p - 7. Let d(i) = -11*a(i) - 6*x(i). Determine d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64\/(-16) - 331\/(-6). Let v = z + -51. What is the closest to 0.1 in 1\/2, v, 10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.19 + 0.19. What is the third biggest value in h, -6, 3\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853 a factor of 83985372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.948 - -1. What is b rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8988 and 0.1.\nAnswer: -898.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 214\/5. Let v = 3 - 7. Put 4, v, i in decreasing order.\nAnswer: 4, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8876, 8896, 8952, 9062, 9244, 9516?\n\"Answer: 3*u**3 - u + 8874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3 (b) 1\/3 (c) -7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 239977629 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + 0*v**3 + 6*v**3 + 0*v**3 - 4*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*2\/(1*(-5)\/5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 11*s - 2 - 4*s**3 + 0*s**2.\nAnswer: -4*s**3 + 11*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -294, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**0))\/h*h*h**1*h**(-5\/3)\/(h\/h**4))**(4\/19) assuming h is positive.\nAnswer: h**(28\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**4\/6 + h**3 - 6*h**2 + 29*h. Let o be i(-4). Suppose -2*k - 2*k = -4*q - 16, -4 = -5*q - 3*k. Is o != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.25 - 0.45. What is the smallest value in 2\/11, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/3, -5, -7\/40, -1\/5, -3.9 in increasing order.\nAnswer: -5, -3.9, -1\/5, -7\/40, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 plus 32992658?\nAnswer: 32992658.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 11:20 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 2653*v - 1600803. What is c(928)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/293865 and -173\/4290.\nAnswer: 587730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/20 + 5*z**4\/12 + 7*z**3\/6 - z. Let o(v) = -v**2 + 14*v + 21. Let d be o(15). What are the prime factors of y(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1390927316 to the nearest integer?\nAnswer: 37295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-1 + 2*l + 1) + 0*l + l + 0*l + l + 1 - 1 + 2*l + 4*l - 3*l + l + 0*l + 0*l)*(0*l**3 - 4*l**3 - l**3).\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3350485?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 410887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -209*g - 54. Let z(c) = -47*c - 14. Let f(a) = -2*h(a) + 9*z(a). What is f(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**5\/24 - m**4\/8 - m**3\/3 + 4. Let c(x) be the third derivative of s(x). Differentiate c(g) with respect to g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188.3 + 179. Let p = 11 + d. Let s = p + -1.70000044. Round s to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4362 - 4342. Solve -58*b + 53*b - j = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44 + -47?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113003 is divided by 87?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 7*q + 5638 = 5*n, 28050 = 5*q - 3*n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 1. Let i(x) = 330*x + 15. Let n(l) = -119*l - 5. Let t(s) = -9*i(s) - 25*n(s). Calculate t(d(v)).\nAnswer: -10*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (1 - 2 - 5). Let j be 3\/g + (-66)\/(-4). Suppose -3*b - b - j = 0. Put 1, -1, b in ascending order.\nAnswer: b, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 43. Let a be w(14). Sort 53, 3, -5, a.\nAnswer: -5, a, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.58 - 2.51. Let v = s - 36. Sort 0.5, -5, 4, v in decreasing order.\nAnswer: 4, 0.5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-613)\/(-2) + -5. Let q = g + -301. Which is the nearest to 0? (a) q (b) 4 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 359225745+-5822.2\nAnswer: 359219922.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2\/2 - 1893*g\/2 - 1899 = 0.\nAnswer: -2, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -893*a + 881*a = -7224. Which is bigger: 604 or a?\nAnswer: 604","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577467 is divided by 257.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16100408 is divided by 8050188?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t - 5*s, -t = 2*s + 2. Put t, 5, 4 in descending order.\nAnswer: 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + v = -21, 2*b = 4*v - 4 + 18. What is the second derivative of 8*u**5 - 7*u**b - 11*u - 19*u**5 wrt u?\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7130\/(-279))\/(-46)*18\/4)\/(1\/(-22))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*(-1)\/((-3)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5757 is divided by 1905?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460406 is divided by 4095.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 21 = -0*y. Let f = -37 + y. Let s = -20 - f. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 6:28 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-2557792)\/(-737) + 12\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfffm. Give prob of picking 1 m and 1 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 834715494 and 20.\nAnswer: 8347154940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*z + 117*z + 126*z + 10*z as j*z + f and give j.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/2*(-28)\/126.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1459 - -1487 - (-2 + 17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hax when three letters picked without replacement from ahxayy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 4*y + 4*y. Let p(g) = 2*g + 1. Let z be p(-2). Let r(a) = -15*a. Let v(f) = -15*f. Let k(h) = z*v(h) + 2*r(h). Give x(k(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 34. Calculate the remainder when 124 is divided by p(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 1. Let g = -807.1055 + 0.1055. Let q = g + 810. Which is the third smallest value? (a) q (b) -2\/15 (c) y (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -352 - -355. What is the biggest value in c, 5, 10.5?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -221, 9\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*n - 38*n - 13*n.\nAnswer: -131*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 37863\nAnswer: -2\/12621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 4*p**2 - p + 3. Let q(h) = -h**3 - 7*h**2 + 8*h + 11. Let w be q(-8). Let n(s) = 2*s - 18. Let t be n(w). Is y(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*r = 7, -14 = q - 0*q + r. Is q != -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 1. Let x(l) = 3*l**2 - 3*l. Let t = -5198 + 5197. Give t*x(i) + 2*y(i).\nAnswer: -3*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*c + 0*c + 5783 = 0, -3*c = -4*z + 5801. Does 8 divide z\/6 - (9 + (-104)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty ninths of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five sevenths of a week in hours?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 2199*o + 87567. Calculate b(-40).\nAnswer: 1207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 53. Calculate the greatest common factor of 88 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 24 + -1 + 7 + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 712873 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s**2 + 31 - 31.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**5 + 53*h**3 + 3*h - 53*h**3 wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 132580\/31 (b) 1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-160 + 14 + 57)*(-1 + 2*o + 1) as n + l*o and give l.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 35680 to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1948056 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2222542021 and 478.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - o + 0*o)*(-466 + 775 + 882) - 2 - 2*o + 2 + (6 - 3 - 2)*(-2*o - 3 + 3*o - 4*o) to the form d*o + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 14*f**2 - 44*f**2 + 17*f**2 - 13*f**3 + 15*f**2.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -510, -780, -1072, -1392, -1746, -2140, -2580?\nAnswer: -3072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 13 = -f, -5*f + 80 = t + 34 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-8 + 1 + 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 3 in descending order.\nAnswer: 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 + 26 - 13 - 13.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31373912 to the power of 1\/2, to the nearest integer?\nAnswer: 5601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 - 3) - (-1 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 + 227636*y - 155.\nAnswer: 227636*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*23\/((-1863)\/(-891))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 45. Suppose l = -2*l + w. Let f(d) = d - 1. Is f(l) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0*b + 4*f - 21, 0 = 2*b - 5*f + 9. What is the third derivative of -9*d**3 + 7*d**2 + 20*d**b - 11*d**3 - 19*d**5 wrt d?\nAnswer: -1140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 16 = 3*b + 9*u - 4, 4*b - 4*u = 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(5\/8)\/(j\/(j**(1\/5)*j)*j**8\/j) assuming j is positive.\nAnswer: j**(-111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**4\/30 - 2*l**3\/45 + 6*l. Factor y(h).\nAnswer: -2*h*(3*h + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + s**2 - 6*s + 5. Determine z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/28*4\/3. Let x = -1634 - -1660.42. Let u = -1.42 + x. Which is the closest to 1? (a) -0.4 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/10)\/((-1)\/(-30)). Let o = q + -7. Solve -3*v = h - 3, -3*h - 3*v = -o*h - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71874 and 32856.\nAnswer: 393582024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4830*r**2. Let j(x) = 6*x**2. Determine y(j(l)).\nAnswer: 173880*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntn when three letters picked without replacement from {t: 1, n: 16, i: 1}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38.1 in 5, 0.5, -5, -0.2, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 3*q - 5 + 5 - 11*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 110 = 10. Calculate the greatest common factor of n and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72240939?\nAnswer: 3, 17, 472163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2276.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l + 8*l - 4 - 3 - l**2. Suppose -q + 0 + 9 = 0. Let p be h(q). Solve -2 = p*t - 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:35 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d + 11*d + 0*d)*(-2*d - 2 + 2) to the form f + z*d**2 + w*d and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*s + 81*s + 43092. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 9:44 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 4942?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11183745000 rounded to the nearest one million?\nAnswer: 11184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2459*i + 3039. What is the ten thousands digit of w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 4, 3, -4, -5 in increasing order.\nAnswer: -52, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17067 - -23488. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -837516237 to the nearest 1000000.\nAnswer: -838000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219*k - 2006 + 2006)*(-k - 8 + 3*k + 10).\nAnswer: 438*k**2 + 438*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. What is the third derivative of -j**3 + 5*j**b + 19*j**2 - 21*j**2 wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4773, -4752, -4705, -4620, -4485, -4288, -4017?\nAnswer: -3660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166 + -167. Let l(o) = 11*o**2 - o. What is l(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 2 = -10*y. Suppose 0 = y*w - 126186 - 93406. Suppose 3*i - j = -i - 219604, 2*i + j = -w. 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: What is the cube root of 2859958 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s + 3*s)*(-4 + 2*s + 4)*(44 - 134 - 28).\nAnswer: -236*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -85*w + 7. Let g(j) = -24*j + 2. Let p(o) = 7*g(o) - 2*n(o). Let a(h) = 36*h - 1. Give a(p(l)).\nAnswer: 72*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -42138*x**2. Let q(a) = 224*a**2. Give i(q(p)).\nAnswer: -2114316288*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*-8*(-13)\/6*(-6)\/39. Solve 106 = 22*k - g for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {h: 2, l: 8, t: 2, y: 3, w: 4}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(4*s**2 + 2*s**2 - 5*s**2)*(0 + 2 - 3) + (-3*s + 2*s - s)*(5*s - 2*s - 2*s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/20 + (-1)\/4. Let s = 52.3 + -52. Which is the smallest value? (a) s (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-26)\/78)*(-8)\/(-4)*6\/387?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495 is divided by 307.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111168 by -386.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 1. Let u(t) = t**2 + 7*t - 5. Let d(a) = -a**2 - 4*a + 3. Let h(r) = -5*d(r) - 3*u(r). Let z be h(2). Calculate s(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42\/13 - -1903\/585. Let n be (-4)\/2 + (3 - 1). Let a = n + 0. Are m and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k - 25 = 52*k + 3*w, 8*k - 5*w - 47 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzo when three letters picked without replacement from {z: 2, t: 7, o: 11}.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:16 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -390.239 + -10.761. What is the nearest to x in -0.8, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 13 + 19 - 2*t + t. Let z be x(-1). Solve z*n = -b + 14, -2*n - 4 = -4*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 34*c**2 - 4*c - 19. Let s(a) = 34*a**2 - 5*a - 18. Let m(o) = -5*q(o) + 4*s(o). What is the derivative of m(u) wrt u?\nAnswer: -68*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s - 52 = 22 - 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 less than -476108315800?\nAnswer: -476108315799.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4*(3 + (-2275)\/28))\/(3\/24)?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 5*g. Let h be z(-3). Suppose 3*n = -4*r + 1495, -n = h*r - 391 - 114. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349448*b**4\/7 - 4218456*b**3\/7 - 12881538*b**2\/7 - 908280*b\/7 - 16200\/7 = 0. Calculate b.\nAnswer: -6, -15\/418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 4 (c) 3\/4 (d) -3 (e) 2.6 (f) 0.3 (g) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116988.1 + 116988. Let z = -0.37 - -18.37. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - -44. Calculate the remainder when z is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/49, 0.2, -3\/2.\nAnswer: -3\/2, 2\/49, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 698220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7)*a)**(2\/3)*a**(-2\/21)\/(a\/a**11))**(-19) assuming a is positive.\nAnswer: a**(-2356\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/5 - 56*c**2 - 9558*c\/5 = 0. What is c?\nAnswer: -81, -59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22005680.000023 + -22005732. Let s = o - -52. Round s to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -7*v - 4. Solve 3*x = 5*x - v*q - 4, -4*x + 2*q = -6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -14*d - d + 1 + 13*d - 2 + 3*d. Let j(m) = 7*m + 2. What is j(a) - 6*k(a)?\nAnswer: a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/18 + (-204)\/90. Which is the closest to 2\/5? (a) 2\/19 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/15)\/(217\/35 - 5)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 2\/19 (b) 45\/8 (c) -0.4 (d) 22 (e) -0.2 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 3256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9785674.\nAnswer: 2, 4892837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 5, -3, 101711 in decreasing order.\nAnswer: 101711, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 25 = 4*v. Let w(f) = f + 3. Calculate w(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 1:51 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 times -345.579?\nAnswer: -147907.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*1950.5286.\nAnswer: 195.05286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4217*q - 567*q - 18250 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -530 (base 14) to base 2\nAnswer: -1111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123930173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -55, -72, -83, -88, -87, -80?\n\"Answer: 3*s**2 - 32*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (-2 - (-31 - -24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 23*o - 4. Determine f(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011859779 rounded to 7 dps?\nAnswer: -0.0001186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3038 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m - 2*b = 41*m + 25, -4*m - 2*b + 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + 0.46. Let y = 0.3 - f. Let v = 6 - 5. Is v at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.1 - -5.14. Let i = -0.1 + 0.14. Let l = i - p. Which is the third smallest value? (a) l (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3549.661 nanometers?\nAnswer: 0.000000003549661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 206976151 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(50))**2.\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 11 - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/803 - 17656\/4015. Let m(j) = -14*j + 61. Calculate the common denominator of m(5) and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 divided by -5?\nAnswer: -602\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by -38?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 0*j - 5*j - j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438*l + 440*l - 8 = o, -6*l + 40 = 5*o. Factor 4\/5*p + 16\/15 + 2\/15*p**o.\nAnswer: 2*(p + 2)*(p + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d + 440. Give r(39).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = s + 17, 5*x = 9*x - s - 39. Let b(f) = -7 - 7*f - 2*f**2 + 4*f**2 - f**2. Let v be b(9). Calculate the greatest common divisor of v and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10 - -17) + -8 - 2) + 3 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/119)\/(18\/21)*(-2)\/(-8)*-2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234111 (base 5) to base 16.\nAnswer: 21d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by 1046.\nAnswer: 83\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 - 36 = 20*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 6, -2, 29 in ascending order.\nAnswer: -2, 4, 6, 8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.26 or 21\/491?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -32?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121313 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002547698445 rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:41 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*a**2 + 3 - a**2)*(58*a + 62*a - 55*a).\nAnswer: 130*a**3 + 130*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33452, 66899, 100346, 133793, 167240, 200687?\nAnswer: 234134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-42)\/112?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 366 - 365. Which is the nearest to x? (a) 0.2 (b) -10 (c) -2\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 1, 3, 8, -10\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 135*d**2 + 17*d - 14. Calculate j(1).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -520167 + 140*s + 520167. Let f(i) = -4*i**2. Give f(z(o)).\nAnswer: -78400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-12) + (-879)\/(-360) and -73\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1288789.585 rounded to the nearest 100?\nAnswer: -1288800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7119103621 to the nearest integer?\nAnswer: 84375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 137653508 to the power of 1\/3, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5450 - 5434. Let n(q) be the second derivative of -1\/2*q**3 + 0 - v*q - q**2. Let z(g) = 5*g + 4. Give 7*n(h) + 4*z(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbt when three letters picked without replacement from txbzzx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -21*m. Let f(l) = 10*l + 11*l - 15*l. Let k(n) = 18*f(n) + 5*s(n). Let q(i) be the first derivative of 5*i**2 + 1. Determine 14*k(j) - 4*q(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 9*g = -216. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72\/5 of a milligram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4919 + -4918. What is the closest to -5 in -2.3, b, 5?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 531 + -528. What is the greatest common divisor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 + -154. Suppose 0 = -4*r + 16, g = m + r + 1 - 65. Calculate the greatest common divisor of 40 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*b + 7 - 9)*(-276*b**2 + 70*b**2 - 19*b**2).\nAnswer: 675*b**3 + 450*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)\/((-3)\/15). Let u(b) = 5*b**2 - 12*b - 5. Let m(d) = 2*d**2 - 4*d - 2. Let g(c) = -8*m(c) + 3*u(c). Give g(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/1 - (-4 + 4). What is the common denominator of (2 + 10\/(-4))\/((-32)\/304) and ((-6)\/y)\/(-4 + 692\/183)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 3. Let u = 0 - d. Differentiate u*z**4 + 5 - 2 - 1 wrt z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -10147, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24\/7560*-14*10\/(-6)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36932994319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 589979323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2394\/(-76)*(-152)\/114.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 29423236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -41, 1\/133287, -5?\nAnswer: 1\/133287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -12*i - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 521600353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15154.0698*4\nAnswer: -60616.2792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7 - 18 + 2*i - 4*i**2 - i**3 + 32. Let l be h(-4). What are the prime factors of l\/(-3) + ((-1239)\/(-9) - -1)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y + 8. Suppose 2*z = 10, 3*k = -z + 9 - 4. Let c be b(k). Calculate the remainder when 98 is divided by 22 - (-2 + c)\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4. Let o(m) = -17*m + 9. Let w(r) = 42*r - 22. Let h(p) = -12*o(p) - 5*w(p). Is 6 a factor of h(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1\/2 (c) 780\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 20*m + 2*m + 28 = 0. Solve -m*s - 1 = 5*r, 3*s + 2*r = s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s**5 + 4*s**4 + 52*s**3 - 4*s**2 - 4*s = 0. Calculate s.\nAnswer: -1, -1\/4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14778161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4235\/(-726))\/((-720)\/(-15552))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + -769152?\nAnswer: -769139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y - 13. Let l(w) = -3*w - 10. Let s be l(-2). Let n = y - s. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 3, 32, 87, 174?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -106, 749, 0, -3.\nAnswer: -106, -5, -3, 0, 749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*i - 2, r = 2*r - i + 14. Is 30\/r*(-114)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**3\/6 - g**2 + 2*g. Let t be p(7). Suppose f + t = 2*f. Solve -9 = -d - a, d - f*a = 5*d - 41 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(-2))*k)\/(k**(-3\/4)*k)*((k\/(k\/(k*k**2*k)))\/k)\/(k\/(k\/k**(3\/2))) assuming k is positive.\nAnswer: k**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Let r be 0 - 14\/18 - 9\/(-9). Which is greater: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-32) + (-27)\/(-72)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4524, -9043, -13560, -18075?\n\"Answer: r**2 - 4522*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 2)**2 + sqrt(39)\/(-2*sqrt(3)) - (sqrt(117) + 1 + 2)) + -3.\nAnswer: 41*sqrt(13)\/2 + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 3*q - 4*q)*((2 - 1 - 2)*(3*q + 5*q - 12*q) + q + 2*q - 2*q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 - 138. Suppose 2*k + 436 = 2*t - 392, 0 = x*t - 3*k - 2080. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2409 * 2\nAnswer: 4818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 4:55 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_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: Evaluate ((-7)\/4)\/(13293\/(-820368)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 3. Let s be v(-3). Let g be s\/12*8\/(-3). Find the second derivative of 6*b**3 + 3*b - 13*b + 2*b**g - 2*b**2 wrt b.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -145. Suppose -33 = 2*y + 131. Let p = y + v. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 149061*f + 182869 with respect to f.\nAnswer: 149061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-24)\/(-20)))\/(4\/(-12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93189 is divided by 4899?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0551192 - 0.05427. What is y rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.98 + -38.82. Let t = -44 - i. What is the nearest to 1\/5 in 4, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1)))**(-2\/135)\/(n**1)**(-16)*((n**(1\/2))**47)**(-38) assuming n is positive.\nAnswer: n**(-118393\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77506820 by -7750682.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1533 is divided by 854.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = 5*q - 89 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3994*i**2 - 998*i + 1?\nAnswer: 7988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-22))\/(480\/(-1664))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q + 634 - 634 to the form n*q + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59 * 224.03.\nAnswer: 13217.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 258.2.\nAnswer: -5.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 36*f**2 + 258*f - 77. What is the remainder when 1399 is divided by z(42)?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uttuuttttuuuuuutuuu. What is prob of picking 3 t?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746665 is divided by 106661.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11 - 37 + 26 + 4*g + 11 - 9*g**2. Let h(v) = -5*v**2 + 2*v + 6. Give -11*h(f) + 6*r(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4 + 2 + 1 + 8*d - 5 + d**2. Let r(f) = f**3 - f - 2. Let i be r(-2). Let h be b(i). Solve -h*u - 2 = -4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 20*t = 40. Let o = -113 - -114. Let f be 4 + 2*(-2)\/(-4). Put f, o, t in decreasing order.\nAnswer: t, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -50. Let v = p + -15. Solve -4*t + 0*t + 6 = -l, -2*l + v = 5*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5979176 and 29\/122024?\nAnswer: 5979176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27137789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2983*d**3*v**5 + 811*d**3*v**2 + 3*d**3*v + 2*d**3 - 2*d*v + 21*d + 80*v - 17 wrt v.\nAnswer: -59660*d**3*v**3 + 1622*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.84? (a) 3 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**3 + c**3 - 3*c**3)*(14 - 2 + 0) - c**3 - c**2 + c**2 to i*c + w + l*c**3 + s*c**2 and give l.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (246*a - 370*a**3 - 246*a)*(-11*a**2 - 15*a**2 + a**2).\nAnswer: 9250*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 200*s**2 - 7*s - 104. Let k(z) = -z**2. Give m(k(p)).\nAnswer: 200*p**4 + 7*p**2 - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1154036*x**2 + 64*x - 1156667301 with respect to x.\nAnswer: 2308072*x + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*i - 280 - 356, -4*h + 2560 = -4*i. Suppose -3*p + 4*a + 479 = -0*a, -4*p = -5*a - h. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 170*d + 166*d - 112, -58 = 81*p - 4*d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/462 - (-7 + 782*(-1)\/(-84))?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 42. Let u = -2\/7 - -1\/28. Which is the biggest value? (a) z (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/67595 and -52\/7?\nAnswer: 473165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62394 is divided by 27797?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/4 + p**4\/6 + p**3\/3 + p**2\/2 - 68*p. Give t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 330*f**3 + 248.\nAnswer: 990*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y + 18*y + 12 = -s, -2*y = 5*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1216))**2*-3 - 2*-4*sqrt(1216)) + -5 + 1.\nAnswer: -3679 + 208*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/8)\/p*p*p**(1\/6))\/(p**(-2)\/p)**20 assuming p is positive.\nAnswer: p**(1471\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 4*g**3 + 3*g**3 + 1)*(3*g + 2*g - 6*g).\nAnswer: g**4 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2576172 divided by 2?\nAnswer: -1288086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3394\/(-6))\/((-8)\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/5 + 22*c**3\/5 + 16*c**2\/5 - 8*c.\nAnswer: 2*c*(c - 1)*(c + 2)*(c + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - t**2 + 6*t + 4. Let a be l(-3). Solve -2\/5*c**a + 2\/5*c**2 + 0 - 4\/5*c + 4\/5*c**3 = 0 for c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -21 - (-5 + 13 - 20 - -6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 - 673*s**2 + 2016*s.\nAnswer: s*(s - 2016)*(s - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3347\/985 - -2\/985. Let m = y + -16\/5. Solve 1\/5*i**4 - 3\/5*i + m*i**2 + 3\/5*i**3 - 2\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (406\/609)\/(2\/(-33))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4492846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**5 - 2*g**4 - 20*g**3 + 18*g**2 - 6. Let v(a) = -4*a**5 + a**4 + 20*a**3 - 17*a**2 + 5. Let p(o) = 5*l(o) + 6*v(o). Factor p(s).\nAnswer: -4*s**2*(s - 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-532)\/(-8)))\/((-392)\/(-11172)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 2, b: 1, q: 3, m: 1, c: 1}. Give prob of picking 1 q, 1 c, and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Suppose 6 = i*d - 0*d. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 709 = -5*m, -3*p + 6*m + 1011 = 3*m. Round p to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -643*r**6 - 8*r - 188*r**6 + 8*r + 114*r**2 wrt r?\nAnswer: -99720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -35811\/4, 0.2, 3 in ascending order.\nAnswer: -35811\/4, -1.3, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*m = 125*m + 9962. Solve 585*o = m*o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2936079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 4*p - 1. Let y be t(-3). Does 3 divide 105\/y + 2\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**6 - f**3*q*w + 51*f**3*q - 2*f**3 + 178*f**2*q + f*q*w - 4*q*w wrt f.\nAnswer: 120*f**3 - 6*q*w + 306*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/3 + (-2 - -61). Let z = h + -32. What is the remainder when z is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 + 10120?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 24*m - 69. Let b be u(-6). Suppose 5*z = 20, 2*z = y - b - 12. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055 (base 16) in base 13?\nAnswer: -1b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 3*h**2 + h - 9. Let x be f(5). Let g = -51 - x. Sort -3, g, 5, 13 in ascending order.\nAnswer: -3, g, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let u(z) = 5*z + 39620. Calculate u(h(y)).\nAnswer: 5*y + 39620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427537 is divided by 8907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2821 divided by -25.\nAnswer: -2821\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 440957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -0.12, -3\/2, 145, 0.1, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/9 + (-4)\/(-6). Suppose n*t - 179 = -7. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:08 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44596141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 31*p. Let t(m) be the first derivative of -55*m**3\/3 - 66*m**2 - 15. Let l(b) = -b**2 - 2*b. Let j(z) = -66*l(z) + t(z). What is j(x(o))?\nAnswer: 10571*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15335325701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 18*c\/5 - 36\/5.\nAnswer: -2*(c - 6)*(c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**5\/5 - c**4\/6 - c**3\/2 + 3*c**2\/2 - c. List the prime factors of h(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (94 - 0) + (14 - 39 - -9) - 11?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -184*o - 4459. Give w(-27).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y - a + 32 = 0, -5*a = -73*y + 69*y + 48 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 3*b + 3*s - 137, 2*b - 2*s = 220. Suppose -23 - 53 = -19*o. Differentiate -14*f**o + 112*f**2 - b*f**2 + 11 with respect to f.\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 4138\/5 + -837. What is the common denominator of 107\/10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = -3*t, 4*t = y - 4*y - 5. Sort 3, y, -7 in ascending order.\nAnswer: -7, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a + 0*a)*(4 + 2 - 5)*(3*a**3 - 4*a**3 - 10*a**3).\nAnswer: 55*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/21) - 22\/88.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 + 1)*(3 + 4 - 3)*(2 - k - 2) in the form h*k + s and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66145073149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 108762553 at most as big as 108762552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:02 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8)*4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one-hundred-and-one quarters of a meter?\nAnswer: 25250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 712 - 20646\/29. Suppose 0 = -3*r - 0 - 3. Let p be (-1)\/2*(r - -3). Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + cc?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54615 and 2839980?\nAnswer: 2839980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 2*l + l + 0*l. Let n(y) = -y. What is f(n(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwowwbokbbrwowo. Give prob of sequence bw.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138676377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2\/3*p**3 + 8\/3*p - 8 + 14\/3*p**2 = 0?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -10, 57, 0, -15 in descending order.\nAnswer: 57, 10, 0, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 3*u - 3. Let o(h) = -2*h - 2. Let s be o(-2). Let d be g(s). Let j = 15 + -11. Put j, -2, d in decreasing order.\nAnswer: j, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45305191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 520 = 4*z, p - 20 = -4*p. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/9))\/y*y**3*(y**(2\/7))**(-38))\/((y*y**(-9))\/y**(-2\/11))**(5\/8) assuming y is positive.\nAnswer: y**(-8851\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320) + sqrt(320)*1 - sqrt(320))\/sqrt(4).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(4 + (0 + (sqrt(1584) - (sqrt(1584) + 1 + sqrt(1584))) + sqrt(1584) - ((-1 + sqrt(1584) - sqrt(1584)) + 1))) + -4)*3)**2.\nAnswer: 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 15*a**2 - 1. Let j(p) = -194905*p. What is j(h(k))?\nAnswer: -2923575*k**2 + 194905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 2:04 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(sqrt(11) + sqrt(110)\/sqrt(40) - (-1 + sqrt(11))*2)*-2)**2.\nAnswer: -72*sqrt(11) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 34727?\nAnswer: 34727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74243611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 275575197 divided by 3167531\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*w - 142*w = 0. Solve w = -9*s + 3*s + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (5 - (-1 + -5)). Calculate the greatest common divisor of s and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*g - 4 - 1, 0 = 3*s + 3. Solve 3*r + 17 - 5 = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652 = 5*u + l + 649, 4*l - 12 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 11) to base 8\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(12)*-2.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007903873 rounded to five dps?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -6 + -6 + 18?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a + 42. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 97*d**2 + 181*d - 1686. Determine r(-99).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 14*p**2 - 2*p + 23. Let v be 22 + -16 - (-1 - 7). Calculate n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 4270?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 20273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-9)*u**(-8\/7))\/(u**(1\/2))**(-6\/17))**14)**(-2\/61) assuming u is positive.\nAnswer: u**(4744\/1037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 + 46076*r**2\/7 - 37917256*r + 530657296\/7.\nAnswer: -2*(r - 11518)**2*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 110126 (base 7) to base 2\nAnswer: 100101101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1130*f**2 - 21*f + 1. What are the prime factors of r(4)?\nAnswer: 3, 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-9.41\nAnswer: -18.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 12505.\nAnswer: 112545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 131302.996 to the nearest one hundred.\nAnswer: 131300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/19 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let g(t) = 4*t**3 - t**2 + 16*t - 10. Let r(u) = -3*u**3 + u**2 - 11*u + 7. Let n(w) = 5*g(w) + 7*r(w). What are the prime factors of n(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 18. Let m be p(7). Is (-41)\/(4\/m + (-19)\/35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35450 + 5?\nAnswer: -35443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 15*z**2 - 2*z**2)*(-z + z + 3*z) - z**2 + z**2 - 4*z**3 - 7*z**3 + 12*z**3 + 17*z**3.\nAnswer: 42*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1591, 3192, 4793, 6394, 7995, 9596?\nAnswer: 11197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 - a**4 + 5*a**4 + (-2 - 2*a + 2)*(-2*a**3 + 5*a**3 - 2*a**3) - 3*a**4 - 23*a**4 + 4*a**4 - 6*a**4 + 3*a**4 + a**4.\nAnswer: -25*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 143216 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 125 = -n, b + 90 = 4*b - 2*n. What is the remainder when 350 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 11:35 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.086 - -558.3.\nAnswer: 558.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (6*-1*sqrt(684) - (-4 + sqrt(684)*-1)) - ((4 + sqrt(684) + sqrt(684) + 0 - sqrt(684)) + 2 + 2))**2.\nAnswer: 123120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*v - 2*h, -3*h + 10 = 2*v + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -6. Suppose -4*v = -v - n. Suppose v*a + 39 = 3*r, -5*r - 2*a - 10 + 40 = 0. What is the greatest common divisor of r and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 8209*z + 7540*z - 5*z**2 - 15749*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2.83 (b) 3\/20 (c) 10 (d) -2 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 11) in base 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 0.0115939?\nAnswer: -0.2202841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113122521 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - i - 28 = 34, -3*i - 58 = -2*g. Calculate the greatest common factor of g and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5980*d + 1. What is h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*t - 306*t + 6782 = -f, -6 = 3*f. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128725473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 42 = 4*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1687983 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose 12 = 4*c + 4*n, 5*n = 3*c - o*c - 27. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 629 - 607. What is the greatest common factor of 594 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 389*v - 45. Is 17 a factor of z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1164 = 2*j, -2*j + 2*l = -0*j + 1182. Let n be (-4)\/(-6) - j\/36. Suppose 113 - n = 4*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 3*i**2 - 5*i + 4. Let z(d) = d**2 - 3*d. Let t be z(4). What is l(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 2 m when four letters picked without replacement from zumznnnuunzumnnmm.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4833 - -4859. Solve -12*l = -p - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, i: 2, n: 2}. Give prob of picking 1 i and 1 n.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(588)\/sqrt(108))\/sqrt(7).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**6 - 81*q**5 - 705*q**3 - 18729805*q**2.\nAnswer: -360*q**3 - 4860*q**2 - 4230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3832 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4484 and 179.81?\nAnswer: 4663.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-2\/13))\/h)**(-4\/9)*h\/(h*h**(-1))*h**(-4)*h assuming h is positive.\nAnswer: h**(-278\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/11, 4, 2, 0.5, -4, -52.3, 12.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**1*c)\/c))**(-1\/54))**(-2\/13) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 171 = -0*z. Let v = -49 + z. Calculate the lowest common multiple of 52 and v.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1861818 and 95\/1241212.\nAnswer: 3723636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/13 in -3\/2894, 2, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1167497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/26, 2\/11, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, -185, -487, -879, -1349, -1885, -2475, -3107?\n\"Answer: 2*v**3 - 63*v**2 - 25*v + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-99.\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 775 and 25344980?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 172296973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 79. Let i = -210 + 311. What is the remainder when i is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 120984*j**5 - 483368*j**4 + 1444994*j**3\/3 + 6808*j**2\/3 + 8*j\/3 = 0. Calculate j.\nAnswer: -1\/426, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -461*x + 597*x + 1201*x + (-2 + 2 - 2)*(-2*x + 6*x - x) - 4*x + 3*x - x to m + v*x and give v.\nAnswer: 1329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -31*u**3\/18 - u**2\/6 - 435. Factor j(z).\nAnswer: -z*(31*z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 108064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387359 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.75 + 49.85. Let w = 51 - b. Let p = 3 - 6. Is p at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from wppppppepppwptp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 37. Let m = 30 - l. Let x = m + -5. What is the greatest common factor of x and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000607 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 10:26 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9726*p**2 - 9750*p**2 + p - p - 2 + 1.\nAnswer: -24*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7075.6961 minus 1.3?\nAnswer: -7076.9961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -878 - -872. Let z(l) be the third derivative of -l**6\/120 - 7*l**5\/60 - 5*l**4\/24 + 2*l**3\/3 - 32*l**2. Calculate z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 2, -0.1, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -45. Suppose 0 = -3*n - 7 + c. Let z be 2 + (2 - n) + 2. Is -1\/4 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -252077 + -345?\nAnswer: -252411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -124*-9\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h + 4*h = 2070208 + 3246632. Round h to the nearest one thousand.\nAnswer: 197000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 351 + 251. Let h = f - -98. Let s be (-8)\/12 - (h\/9 - -2). Which is the biggest value? (a) s (b) 0.3 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 2*w**2 - 10 - 3*w + 4*w**2 - 2*w + w**3 - 6*w. What is d(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 22. Let p = x - 5.2. Which is the biggest value? (a) 0.2 (b) p (c) 0.19 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - 5 - (0 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiyiiyiiyi. What is prob of picking 4 y?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16393643, -16393643, -16393651, -16393673, -16393715?\n\"Answer: -o**3 + 2*o**2 + o - 16393645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-11 + (24 - 7)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -a - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-4))\/((155\/540)\/(-31)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 18*h + 8. Let c be d(-9). Factor 0 - 6 + f**2 - 5*f**2 + 2*f**4 + c*f + 8*f**2 - 8*f**3.\nAnswer: 2*(f - 3)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-90)\/(-225))\/((-12)\/15))\/(1\/3)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3196604 is divided by 1810?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2119 - -2398. List the prime factors of z.\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 23 = 9*q, -5*y - 16*q = -19*q - 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.01776 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 166*u**3 - u**2 + 3*u. Let c be g(1). Let k = c - 167. Let z = -22 + 13. Sort k, z, 0 in ascending order.\nAnswer: z, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 511\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1449\/46 + -33)*28\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119844715 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*x**4 - 3636*x**3 - 21194*x**2 - 8888*x - 968 = 0 for x.\nAnswer: -11, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 7*y. Suppose -8 = 2*j + 2*m, 0 = j + 2*m - 0 + 2. Determine i(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 19217 - 6154 - 21*n + 10*n.\nAnswer: -4*n + 13063","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 11 + 2)*(-4*l - l + 3*l).\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 193 and 5028229.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/((-2)\/(-20)). Let t = 15.5 - 16. Let w = -2.17 + 2.37. Put t, w, u in descending order.\nAnswer: w, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*v + 3 - 1)*(-41*v - 76*v + 5*v) to o*v + x + a*v**2 and give o.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23*(-1)\/(-3) - (-22)\/3*(-702)\/(-468)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*g - 77*g - 11896 = 0. Suppose 1200 = 4*y - 2*r, -6 - g = -5*y - r. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (97 - (35 + (-48 - -35)))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145.09085*1.8.\nAnswer: 261.16353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32756127 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.1, 5, -10, 144, 0.2 in decreasing order.\nAnswer: 144, 5, 0.2, -3.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**4 + 445*y**2 - 437?\nAnswer: 4*y**3 + 890*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in -1\/3, 0, 1, 2\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**5\/90 + 7*j**4\/18 - 13*j**3\/9 - 3*j**2 - 4. Factor k(q).\nAnswer: -2*(q - 13)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171) + 5)**2.\nAnswer: 60*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4021 and 0.7914?\nAnswer: 3182.2194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**2 + 11*a - 45. Let j(o) = -o**3 + o + 1. Let w(h) = -i(h) - j(h). Calculate the remainder when w(8) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + 4*q. Let k be l(-2). Calculate the greatest common factor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 68315252*z + 1166743413955876.\nAnswer: (z + 34157626)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = 50. Let n = v - 14. Suppose 8*h + 4*f - 25 = 3*h, -15 = -3*f. Sort n, -5, h.\nAnswer: -5, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -570 - -827. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76540191 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100011 (base 2) to base 14\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-6)*(-2448)\/(-510))\/(50\/75)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846148 - 774532 = 1119*u for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9060944 microseconds in minutes?\nAnswer: 0.00000003176824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 j when three letters picked without replacement from oooooojooojojooooj.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = -5*x, k + 4 = 5*x - 14. Solve -o + x*o + 2*r - 10 = 0, 3*r - 13 = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79924, -319720, -719362, -1278838, -1998136, -2877244, -3916150?\nAnswer: -5114842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7763*l - 7846*l + 1459223. List the prime factors of l.\nAnswer: 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -165, -255, -345, -435, -525?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 5*x + 11. Let k be o(-7). What are the prime factors of k\/(62\/(-30) - 8\/(-4))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147461401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3192515 and 11270?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 u when three letters picked without replacement from tfgrtuaf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 - -178. Is 6\/23 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5296153345 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 65. Let d(r) = -10*r**2 - 7*r. Let h(m) = -3*m**2 - 2*m. Give l*d(u) + 14*h(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4721580\/(-1380))\/(-51) + (-8)\/92.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (6 + (4 - (5 - -16)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*sqrt(12)*-1)\/(6*sqrt(16)\/sqrt(4)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = i + 3640, -o + 5*i + 910 = 0. Suppose u - o = -2*a, 3*u + 4*a - 595 = 2129. Let s = u - 417. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 3*z + 4. Let u be 4\/(12\/3) - 4. Give o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360879?\nAnswer: 3, 120293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/6)\/t)*t*t*t**5\/t)\/((t**(3\/4)\/t*t*t)\/t*t*(t*t*t*t*t**5)\/t) assuming t is positive.\nAnswer: t**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 2*m - 1. What is p(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -837802.1.\nAnswer: -1675604.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 66 + 80\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 2*l + 0*l + 4*l. Suppose u + 4*j - 26 = -2*u, -5*u + 22 = -4*j. Let p(t) = u*t**2 + 186 - 186. What is c(p(s))?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -7*z**6\/540 + z**5\/135 + 7*z**4\/108 - 2*z**3\/27 + 5*z**2\/2 + z. Let j(g) be the first derivative of o(g). Factor j(v).\nAnswer: -2*(v - 1)*(v + 1)*(7*v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65908 is divided by 169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 583 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - 3.05. Let i be -2 - (-3 - (-14)\/18). Which is the second biggest value? (a) i (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18998.4 * -0.14\nAnswer: 2659.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*g - 3\/5 - 3\/5*g**3 + 3\/5*g**2 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3692*p + 44 - 3*p**2 - 25 - 18.\nAnswer: -3*p**2 + 3692*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -1. Let i = -0.6 + 0.7. What is the nearest to 1 in -1, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 714 and 1478708?\nAnswer: 75414108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*k - 262*k = -3*v + 23, k + 21 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 672614 less than or equal to 672615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(5*(-14)\/35)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 13*l + 11. Let q be x(5). Let s be -1*(-1 - 4\/(-2)). Is -3*1*(s + q) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, -0.3, -119.804?\nAnswer: -119.804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 14. Suppose -6*i + 2*i = 0. Let q = i + -10. What are the prime factors of o(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 7*u + 2. Let w be (-1 - u) + 18\/27. Put w, 153, 4\/5 in ascending order.\nAnswer: w, 4\/5, 153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 329 + -329. Which is the smallest value? (a) -5 (b) x (c) -1\/3 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54224, 17, 3, -6 in descending order.\nAnswer: 54224, 17, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*u**2 + 19*u**2 + 46*u**2 + 332 - 2*u + 2*u**2 with respect to u.\nAnswer: 158*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + f + 1 = 7, 4*l = -6*f + 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106125313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*((0*a**2 + 3*a**2 - 4*a**2)*(2*a**3 + 9*a**2 - 9*a**2) + 163*a**2 - 163*a**2 + 22*a**5) + a**5 - 2*a**5 + 2*a**5.\nAnswer: -39*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 73 + 190*y - 377*y + 189*y. What are the prime factors of p(20)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4187 is divided by 2089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 78. Calculate the highest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175454960 by 2.\nAnswer: 87727480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 4. Let z(j) = -j**2 - 6*j + 7. Let s be z(-7). Let h be v(s). Let y be (1 - 0)*(34 + h). What is the highest common factor of y and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778929539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, i: 3, s: 4, z: 6, q: 3}. Give prob of picking 1 i and 3 s.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 5*k**5\/12 + k**3\/6 - 23*k**2. Find the first derivative of y(x) wrt x.\nAnswer: 50*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000084449728 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12669 by -4223.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-3\/2))*a\/(a*a**(3\/4)*a))\/(((a**0*a)\/a)\/a*a**3))\/((a**0*a)**(-47)\/(a*(((a*a**1\/a)\/a)\/a*a)\/a*a*a*a\/a**(-1\/3)*a*a)) assuming a is positive.\nAnswer: a**(565\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -7*a**4 - 1110587*a**3 + 10789240*a**2 + 3173300*a = 0?\nAnswer: -158665, -2\/7, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 269, 0.2, 21?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-537 + 49*h**3 + 537)*(-86*h - 45*h + 48*h).\nAnswer: -4067*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -279, -2405, -8169, -19389, -37883, -65469, -103965?\n\"Answer: -303*j**3 - j**2 - 2*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2044140809.\nAnswer: 17, 120243577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2526*w**3 - 358 + 358.\nAnswer: 2526*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -17*y + 16*y - 5*u, 5*y + 4*u - 106 = 0. Calculate the smallest common multiple of 404 and y.\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 25. Let i be (2 - 0)*k\/(-2). Suppose -2*z = -i*j + 94, j + 3*z - 10 = 19. Solve y = 6*y + j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - v + 1 = 0, 5*f - 3*v = -0*v + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 5:44 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 2*l**2 - 17 + 57*l + 11 - 26 in the form w + x*l**2 + b*l and give b.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 3910*a + 764405.\nAnswer: 5*(a - 391)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4\/15 - 2\/15*t**3 + 0*t**2 + 2\/5*t = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, u: 1, w: 2, q: 3, z: 6}. What is prob of picking 2 z and 1 w?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 6*n + 36. Let d = 35 + n. Let m(g) = -5*g**2 - g + 1. Let b(k) = k**2 + k. Determine d*m(s) - 2*b(s).\nAnswer: 3*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z**2 - 70*z + 544. Let g be s(8). What is the highest common factor of 21 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47988 and 92999411.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 10, -1, -4 in descending order.\nAnswer: 10, 6, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(32\/(-24)))\/(1\/(-4)). Factor 0*o - 2\/3*o**2 + 0*o**z + 2\/3*o**4 + 0.\nAnswer: 2*o**2*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 11*r + 7. Let i be 44\/(-6)*(-12)\/8. Let z be d(i). Solve -4*g + 5*s = 16, 5*s + 9 + z = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 18*y**2 + 46*y + 30.\nAnswer: 2*(y + 1)*(y + 3)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n - 240. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20198*y + 403 + 10097*y + 10103*y)*(-2*y + 4*y + 6*y**2 - 4*y**2).\nAnswer: 4*y**3 + 810*y**2 + 806*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5475 - -5478. Solve w*q + 5 = 4*i, -i - i = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1241998 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - g + g - g**3 - 2*g**3 + 2*g**3 + (-2*g + 5*g - 2*g)*(1 - 7*g**2 - 1) + 0 + 3*g**3 + 0.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7821?\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (2 + 5 + -7 + 2) - 5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 28*h**2. Let d be z(-1). Suppose d = 3*s - s. Suppose 0 = -f + 3*j + 80, 5*j + s = 5*f - 396. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = -4*h - 5*t, -4*t = -3*h + 25. Suppose -12 = -h*i + 3. Solve -j + 3*u - 6 = 0, -i*j - 19 = -0*j - 4*u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 53691, 0.382?\nAnswer: 0.382","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -217624, -435257, -652890, -870523?\n\"Answer: -217633*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 7*n**2 - 72*n + 109. Calculate r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -138, -278, -418, -558?\n\"Answer: -140*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724.2661 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - v = 9, 3*l = -2*l - 2*v + 27. Suppose -3*u + 4*u = -2*c + 9, -l*u - 3*c = -66. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose 0*b = 4*b + 5*y - 32, -b = -y + 1. What is the third derivative of -15*o + 15*o - 4*o**b + u*o**2 wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 125 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000663 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (7 - 11 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t**3 + 24 - 24 - 5*t**3.\nAnswer: -42*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 15. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - d - 34. What is the units digit of t(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9285597439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -4 (c) -47\/12 (d) -2\/5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(99) - -1*sqrt(99)) + sqrt(99))\/sqrt(9)*-5.\nAnswer: -65*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 17 - -4) + -17 + (-7 - -34) + 65\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 0)\/((-9)\/90)*-1. Which is smaller: c or -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + s - 22 = 0, 2*s + 35 = 3*n + 4*s. Let c be n + -1 - (-3 + 7). Let q be (-5 - -6)\/((-4)\/c). Is q < 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eie when three letters picked without replacement from eeeeiei.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22958892 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-15)\/12*(-6)\/(-1980)*-4?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - -1.6. Let l = x - 2.8. Let w = l - 0.3. What is the nearest to 0.2 in 3\/5, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - 7 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/2)*k*k)**(-30))**7 assuming k is positive.\nAnswer: k**(-945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, r: 3, g: 3, f: 11}. Give prob of sequence rrlg.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 687135 by 45809.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 18*u + 22. Let f be n(-19). Solve -f = 8*x - 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhesu. Give prob of sequence se.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b + 4*s - 46 = 0, 2*s - 14 = -b. Suppose -2*m + b*m = 48. What is the remainder when 82 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*o = 0, -2*o - 6 = 2*u - o. Let p be u\/(4\/(-6)) + -17 + 17. Solve -p + 5 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*f - 93 = 0, 999*z + 5*f + 130 = 1004*z. Suppose q - 3*x - 11 = 0, -2*x = -0*x - 4. What is the remainder when z is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 462980, 462962, 462934, 462896?\n\"Answer: -5*j**2 - 3*j + 462988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 200.6009ml?\nAnswer: 0.2006009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00973494 to four decimal places.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/55 and (-2)\/(-10)*246\/(-12).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*j + 493 = 218, 5*j - 275 = -5*c. Suppose -3*r - r + 44 = 0. What is the highest common factor of r and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11672 divided by -5836.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - 0.3. Which is the smallest value? (a) 0.2 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007094*h = -1007066*h - 616 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z - 73*z - 9 = t, -8 = -2*t + 3*z. What is the fourth smallest value in t, -5, -131, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 11*m**2 - 11*m - 2. Let n be v(-12). Let q = 20 + n. Let u be 6*((-152)\/72 + 2) - (-85)\/15. Solve -o + 1 = u, -f - o - q = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(5))*-5*4*6.\nAnswer: -600 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -2561 - 7475. What are the prime factors of j?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 5*u**2 + u + 1. Let m(b) = 9*b**3 - 17*b**2 - 121*b - 125. Let j(z) = 5*a(z) + m(z). Suppose j(f) = 0. What is f?\nAnswer: -6, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128414460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/9)\/(w**(-1\/4)*w))\/(w**(-2\/5)\/w)**(-2\/125)*((w**(-1)\/w)\/(w**(-2)*w))\/(w**(-2))**(1\/18) assuming w is positive.\nAnswer: w**(-15793\/7500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 25*i**2 - 2 + 3 + 25*i**2 - 49*i**2. Let m(t) = 6*t**2 + t. Let u be m(-1). Suppose -u*w + 10 = -3*o, 3*o + 0*w + 8 = 4*w. Determine a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(6) - (sqrt(6) + sqrt(6) + sqrt(6) + sqrt(150) + sqrt(6))) + sqrt(6) + sqrt(6)))\/sqrt(2))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123049 divided by -1.\nAnswer: -123049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. Suppose -4*d - 17 = 4*j + 3, x*j + 3*d = -11. Let v = 0.3 + -0.1. Which is the third biggest value? (a) 3 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -45 (b) -3\/2 (c) -1 (d) -3238\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 1 - (574 + -578).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12338524*o - 6256462?\nAnswer: -12338524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i - i**3 + 5*i**3 - i**2 + 3*i**2 - 4 - 3*i**3. Give z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7052676679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171 + -170. List the prime factors of (-770 + v\/1)\/(-1).\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 17 + 13. Let x be (3 + -1)\/q*-5. Let m(d) = -d**3 + d**2 - d. Let u(z) = -2*z**2 + 3*z - 1. Determine x*u(l) + 2*m(l).\nAnswer: -2*l**3 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.9 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 3:50 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205884056 and 14952?\nAnswer: 4984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4612, -9224, -13836, -18448?\n\"Answer: -4612*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3179, -6358, -9543, -12734, -15931, -19134?\n\"Answer: -3*f**2 - 3170*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -12*o - 168. Let t be ((-6)\/7)\/((-9)\/42). Suppose 5*n - t*r - 80 = 0, -4*r + 3*r + 25 = n. Calculate the lowest common multiple of n and o.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775 divided by -5?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*m - 31, -3*d = -470*m + 468*m + 41 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 1. Let s(f) = 9*f - 1. Give 2*k(u) + s(u).\nAnswer: 7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -93. Let c(s) = s**2 - 3*s - 6. Calculate c(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 46. Let u be m(-11). Suppose 5*p + u*h = -0*p + 10, 4*p = 4*h - 20. Solve p = -6*l + 3*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026606 rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -0.01 (b) -3 (c) -1\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-30) + 57\/18. Let v be ((-2)\/g)\/((-10)\/45). Solve b = v*y - 10, 5*y - 2*b - 14 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f. Let z(a) = -a + 127344. What is z(p(v))?\nAnswer: 5*v + 127344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*i - 4*h, -2*i - 4 + 6 = 7*h + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20) + (-48)\/60 + 1\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1911 by -36.\nAnswer: 637\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 72199672.\nAnswer: 14439934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(6\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let s be (-2)\/(-6) - (-15)\/9. Suppose s*a - 6*a + 40 = k. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*i + 4*i. Suppose 0*h - 2*h = i*q - 24, 2*h = -3*q + 19. Let b(t) = -t + 8. What is b(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00180081818 rounded to 6 decimal places?\nAnswer: 0.001801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 186*n**4 + 32*n**4 + 3*n + 749 - 216*n**4 as i*n**3 + w + m*n + h*n**2 + x*n**4 and give w.\nAnswer: 749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-37023620.\nAnswer: -148094480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h - 53 - 18*h + 53 + 30*h. Let w(u) = 18*u - 15. Give a(w(g)).\nAnswer: 18*g - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*k + 119 = -263, 5*f - k - 453 = 0. Solve -c + 2 = f*j - 93*j, -4*c = -20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.33 - 0.23. What is the nearest to 2\/7 in d, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/209761 and 18\/1051?\nAnswer: 220458811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p - 6. Let q be a(-7). Let f = -26 - q. Calculate the remainder when 148 is divided by f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164612 is divided by 54808?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 4*g = 16*s + 29, 2*g = 5*s - 25. Suppose 0 = 4*h - 5*h + 21. What is the least common multiple of s and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 0 - (13 + -18) - -20\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 341487 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -295 + 291. Put -1\/4, -3, 4, v in descending order.\nAnswer: 4, -1\/4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2. Suppose 8 = -6*p + 8*p. Suppose 5*v + 18 = -h + 4, -2*h - p = 2*v. What are the prime factors of w(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/44*-30*(-3)\/((-45)\/(-12))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -14712.7688 to the nearest 10.\nAnswer: -14710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -702*g**3 + 456*g + 421668 wrt g?\nAnswer: -2106*g**2 + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -n - 3*l, -2*n - n + 2 = l. Solve n = -3*d - 0 - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 - 20. Let w(g) = 76*g**2. Give w(m(b)).\nAnswer: 1216*b**4 + 12160*b**2 + 30400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**3 - 2*l**2 + l - 10. Let f be h(4). Let x = 221 - f. Solve t = -x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 3*f + 1. Let o = -10 + 12. Let k be m(o). Is 11 a factor of 35 - 3\/(2 - k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*l = 113*l - 8. Let c be 34\/(-51)*(l - -2). Solve -5*q = -5*w - c - 26, 5*q + 10 = -3*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3576*f + 9108 = 3180*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -10, 537 = -2*l - 3*v + 535 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263 + -120. Let h = v - 275. What is h rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478123, -956244, -1434365, -1912486?\nAnswer: -2390607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194.29 - -19.\nAnswer: -175.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 take away -8.682733?\nAnswer: 7.282733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.99978 + 1. Round c to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -15. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121664.\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9837 - -24.0163. What is the nearest to -0.1 in 0.5, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 320 = 820. What is the remainder when x is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 15*u + 4 = 0. Let j(g) = -6*g - 12. Let p be j(u). Suppose -x - 5*y = -2*x + 73, p = x - 2*y - 76. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1384 and 57\/148.\nAnswer: 51208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 11:54 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 739b (base 16) to base 10\nAnswer: 29595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 1 + -35 + 4941 + -4938?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhrrzuzz. Give prob of picking 1 h, 1 u, and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (47\/2 - -2)*(56 + (-33 - (-1898)\/(-78)))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 660 and 2355.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -401.9503609 and 5.7.\nAnswer: -396.2503609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1245 + -2164075?\nAnswer: -2162630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-21 - 9) - -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1085, 2476, 4181, 6200?\n\"Answer: 157*o**2 + 920*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t + 138. Calculate the remainder when v(16) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = 4*c. Suppose 0 = 5*s + k - 55, 4*s - c*k = s + 33. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -119989, -480004, -1080053, -1920142, -3000277, -4320464?\n\"Answer: -v**3 - 120011*v**2 + 25*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -17*w + 76. Let b be m(5). Let j(a) be the second derivative of a**5\/20 + 5*a**4\/6 + 3*a**3\/2 + 13*a**2\/2 - 55*a. What is j(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n + 44*n = 24. Suppose 6*h - n*v - 6 = 5*h, -9 = 3*v. Let c(j) = j**2 + 11*j + 26. Give c(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3245727 to two decimal places.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 185, 765, 1739, 3107, 4869, 7025?\n\"Answer: 197*m**2 - 11*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**2 + 2880*q + 414720 = 0.\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhttteeph. What is prob of sequence etp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = -10. Suppose 0 = -u + 4, 0 = 4*s - 3*s - 2*u - x. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38417 is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.49, -0.1, -5599?\nAnswer: -5599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*(f\/((f\/(f\/(f**(-2\/7)*f)))\/f)*f)\/f)\/f)**(-32\/7)*f**5\/f**(-1\/9) assuming f is positive.\nAnswer: f**(-2354\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/54127 + -5088883\/17050005. What is the common denominator of -19\/20 and z?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 10 = -25. Suppose h + s*l - 8 = 4*l, -2*h + 3*l + 19 = 0. Let k be ((203250\/(-18))\/h)\/((-2)\/24). Round k to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2034*v - 7026. Let g(a) = -2021*a + 7028. Let d(q) = -3*g(q) - 2*j(q). What is the derivative of d(n) wrt n?\nAnswer: 1995","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6695 and 318.\nAnswer: -2129010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*g**2 + 876*g**2 + 191*g**2 - 2802*g**3 wrt g?\nAnswer: -16812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l - 1. Let t(o) = o**3 + 3*o**2 - 3*o + 3. Let c be t(-4). Let j be k(c). Suppose j = -2*v + 7. Calculate the highest common divisor of 10 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 + 309. Let i be 9316\/374 - 1\/(-11). What is the highest common divisor of i and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -1942418?\nAnswer: -1942416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -61*n - 33. What is the smallest common multiple of i(-1) and 82?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/15 - 38758*u**2\/15 - 1002638*u\/3 - 32530810\/3 = 0.\nAnswer: -19249, -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*18\/(-4)*3\/252*-8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.03 - -4. Let q = o + 3.03. Let y = -9 - -14. What is the second smallest value in y, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**5\/5 + v**3 - 2*v. Find the second derivative of s(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-30) - ((-13)\/1)\/13 - 11456\/82320?\nAnswer: -2\/343","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(931) + -4 + -5 + -2*sqrt(931) - (sqrt(931)*1*5 - (-2 + sqrt(931) + -1))**2.\nAnswer: -14914 - 175*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v = -104*v + 53*v - 5103 for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 1 + 1)*(-3 + 0 + 4)*(-9 + 5*y + 9) to the form x*y**2 + f + g*y + u*y**3 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 33 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 8*l**2 + 6*l + 3. Suppose 4*u - 3*c + 4*c - 22 = 0, 2*u - 14 = c. What is the units digit of d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -43. Suppose -5*z - s*n = -45, -2*z + 33 = -0*z + 5*n. What is the lowest common multiple of 5 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 333 and 448329?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170737 is divided by 42602?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 903 and -243 - -302 - -1*(-1 + 3) - 5.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 n, and 1 o when three letters picked without replacement from {n: 1, o: 5, t: 8, s: 2, g: 3}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 54*d - 47*d - 111 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -6. Let t(p) = p**2 + 2*p - 4. Let l be t(-4). Suppose -l*s - 3 = -7. What is the greatest common factor of b and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23616941211 from -8.\nAnswer: -23616941219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q - 10 - 1\/2*q**2. Let f be i(-4). Solve -f*c + 8 = -b, -4*c = -6*b + b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 9. Suppose m*k - 57 = -9. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61570 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 3}. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 18. Let d(m) = -14278*m**2 + 7142*m**2 + 7135*m**2. Determine p(d(x)).\nAnswer: -2*x**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 13*u**2 + 12*u + 30. Let i = 84 + -98. Is s(i) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/480 + a**5\/240 + a**4\/6 + 5*a**3\/6 + 22*a**2 - 6. Factor f(c).\nAnswer: -(c - 5)*(c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 5*z**3\/6 - z**2\/2 + 94*z. Determine a(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118830*v - 118765*v + 3900 for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 60318310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*z**2 + 319*z**2 + 305*z**2.\nAnswer: 489*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 + 4*h**2 - 4*h - 9. Let w(v) = 4*v**3 - 5*v**2 + 5*v + 10. Determine 5*q(x) + 4*w(x).\nAnswer: x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 52940 to the nearest 100.\nAnswer: 52900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, q: 7, b: 2, k: 2, i: 2}. What is prob of sequence bckq?\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhxhhhxhhhhhhh. What is prob of picking 3 h?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 109440493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003718528 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 9*u - 8. Let q be f(-7). Suppose 3*m - m - q = 0. Is (24\/9)\/(2\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6815 + 6815 - 50*f - f**2 + 6*f.\nAnswer: -f**2 - 44*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 27317.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26002592 is divided by 8714.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 (base 8) in base 15?\nAnswer: e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1699435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-7)\/672*-12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012251 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -283143.1 rounded to the nearest 100?\nAnswer: -283100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 3*a**2 + a + 3. Let c(i) = -i**2 + 1. Suppose -24*o - 2*h - 417 = -23*o, -2*o + h = 859. Let l = o + 430. What is l*c(z) - x(z)?\nAnswer: -2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, 5, 2732, 4 in descending order.\nAnswer: 2732, 5, 4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 62 = -42 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 5*w - 8 - 3, f - 10 = -3*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(51)\/sqrt(3) - sqrt(17)) + sqrt(17))**2 - sqrt(17))*5 + 5 + (sqrt(170)*-2*-5)\/(sqrt(40)\/(sqrt(4)*-2) - sqrt(10)).\nAnswer: -35*sqrt(17)\/3 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -156467*a - 95096.\nAnswer: -156467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let a be r(-1). Suppose -3*o - o - 4 = 0. Suppose -46*z + 50*z + 12 = 0. Sort a, o, z in decreasing order.\nAnswer: a, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = c + 2*h, -2*h = 3*c - 6*h - 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-6) - (-18902)\/195. Let p = g - 96. Which is the fourth biggest value? (a) 39 (b) -0.1 (c) p (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 15*r - 50. Let d be q(-10). Factor -1\/5*h + d - 1\/5*h**2.\nAnswer: -h*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 7*c - 2. Determine u(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3052062900 rounded to the nearest 1000000?\nAnswer: 3052000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and ((-1017)\/(-18) - 1)*4\/6?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*p + 25 = -303*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 3. Let d(g) = g + 1. Determine d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - f + 1 + 0)*(-1045*f + 38*f**2 + 2031*f - 981*f) to u*f**3 + d*f**2 + v + b*f and give u.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + -1 + (0 - 1) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -395180664 by -1431814.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000496095 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -11. Let l(u) = 2*u**2 + u. Let q be l(i). Let m = q - -156. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1562 and 233519?\nAnswer: 467038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1\/4 (c) 0.07 (d) -2.3208 (e) -36 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 3:02 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 4, x: 16}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 0*y**2 - 5*y - 9\/20*y**5 + 0*y**3 + 0 - 1\/14*y**7 - 9\/4*y**4 + 1\/2*y**6. Factor k(g).\nAnswer: -3*g**2*(g - 3)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15828.589504 + 18720?\nAnswer: 2891.410496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 305211.6 seconds?\nAnswer: 305211600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1920)\/5184*6\/10\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -278218, -278197, -278160, -278107, -278038, -277953, -277852?\n\"Answer: 8*p**2 - 3*p - 278223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -51.8 + -10202703\nAnswer: -10202754.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**3 - 3*g**2 + 2*g + 4. Let u be d(4). Let w = u + -93. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6524468734 rounded to four decimal places?\nAnswer: -0.6524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*g**4 - 2*g**2 - 89*g.\nAnswer: 1152*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -4*y**5\/25 + 14*y**4 + 572*y**3\/15 + 144*y**2\/5 + 6518. Factor i(n).\nAnswer: -4*n*(n - 72)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -62. Suppose -3 + 15 = -3*v, -r + 3*v = -h. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from ttztzzxtttzttzztx?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(0*k**3 + 5*k**3 - 2*k**3).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196307 is divided by 14993?\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 72 + (-2 - -2) + -1. Suppose 0 = 3*a + 2*i - n, 2*i - 133 = -5*a + 6*i. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -26335?\nAnswer: -26341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 5. Let o be g(12). Suppose -27*v + o*v = 54. Calculate the highest common divisor of 18 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + -0.1. Let t = -8 - -13. Suppose 0 = t*f - f. What is the nearest to f in -2, g, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 108 - r**3 - 36*r + 7*r**4 - 107 + 34*r in the form c*r**2 + o + v*r**4 + t*r**3 + b*r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 12*h + 103*h = -79*h - 5352 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/7504 and -95\/504.\nAnswer: 67536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7488 and 85524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(60)*6)\/(sqrt(96)\/sqrt(392)).\nAnswer: -126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 17. Solve y = -3*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 164 = -b, -b + 2*b = -5*n + 196. Let p = -23 + n. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Suppose y*s = -k + 21, s = 5*s + k - 16. Solve 11 = s*a - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 327894?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciinqkkniqcqcqqinkc. Give prob of picking 1 n, 1 k, and 2 i.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 51. Suppose 5*u - 22 = -s, -d*u + 5 = -4*s - 3. Suppose 8 = -u*k, -3*k = 3*v - 6*k - 375. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1992 - 1990. Let b(k) be the third derivative of -1\/3*k**3 + 0*k - 7\/24*k**4 + 0 + 3*k**n. What is the derivative of b(o) wrt o?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -1\/3 (b) 0.3 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 28*w - 120. What is p(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byb when three letters picked without replacement from ywmywbzwwwmywwbvy?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/19, -2\/3, 107\/4?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + 0 + sqrt(147))**2 + sqrt(192)*1 + ((-3 + sqrt(75))**2 - sqrt(3)).\nAnswer: 19*sqrt(3) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 6*o - 4. What is i(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -96, -237, -442, -711?\n\"Answer: -32*r**2 + 19*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9799.964955 + 9800. Let y = j + -0.035. What is y rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**3 + p**2 - 3*p - 3. What are the prime factors of j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4357989 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-30))\/((-156)\/90))\/(14\/(-26)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(102) - sqrt(102)))\/(sqrt(6) - (sqrt(6) + sqrt(30)\/(sqrt(5)*-1))) + -4 + 3 + -2 + sqrt(85)\/(sqrt(5) - sqrt(5)*-2) + 1.\nAnswer: -2 + 37*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 11*y + 11*y - 65. Calculate the remainder when 160 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*i = -5*i - 11, 3*i - 25 = -4*s. Let v be s\/(-6) - (-22)\/6. Suppose 2*w = -0*r + v*r + 164, -3*w + 5*r + 247 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 696 and 11664?\nAnswer: 338256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2463169 divided by 43.\nAnswer: -57283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 10 + 26. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 48*c**2. Let k = 11 - 14. Let w(j) = -2*j**2 - 8*j - 8. Let y(n) = -n**2 - 3*n - 3. Let i = 64 + -56. Let q(x) = i*y(x) + k*w(x). What is q(h(t))?\nAnswer: -4608*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0727 + 2.0727. Let x be 3 + 2 + 11793\/126. Let l = 197\/2 - x. Put 0.1, i, l, -2\/7 in decreasing order.\nAnswer: i, 0.1, l, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, d: 1, a: 1, n: 3, i: 5, c: 1}. Give prob of picking 1 n, 1 c, 1 d, and 1 a.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 11*j**2 - 13. Is k(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132107 - 90438. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 2. Suppose 5*p = 7 + 3. Determine a(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4850 and 9086900.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 57, 156, 313, 540, 849, 1252?\nAnswer: 1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3690003, 5, 2 in decreasing order.\nAnswer: 5, 2, -3690003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15128*z**4 - 2233.\nAnswer: -60512*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1034438 + 145?\nAnswer: 1034584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0*d**5 + 0*d**3 - 1\/210*d**7 + 0 + 0*d**6 + 0*d - 5\/24*d**4 - d**2. What is the second derivative of a(s) wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65481497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.4 (b) -16 (c) 0.1459 (d) -3 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3535, -1, 4 in descending order.\nAnswer: 3535, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11 + 2*h**3 + 161*h**5 - 26*h + 11 - 2*h**2 + h**5 wrt h?\nAnswer: 9720*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5656659637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 - (-320 - -175) - (0 + (1 - 26)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 6*z - 3. Suppose 0 = -4*m - 5*f - 31, 12*f + 3 = 3*m + 7*f. Let c be y(m). Let d be (1\/2)\/((-1)\/4). Put d, 3, c in decreasing order.\nAnswer: c, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**3 + r**3 + 56182*r**2 - 242*r - 56234*r**2 - 3*r**3 wrt r.\nAnswer: 6*r - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 33117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {e: 2, z: 1, a: 1, b: 7, h: 1, t: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3253378*4.5.\nAnswer: -14640201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29019 is divided by 8284.\nAnswer: 4167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85\/4 + -173\/8. What is the nearest to 1\/2 in -0.2, w, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30572891, -30572890, -30572889, -30572888, -30572887?\n\"Answer: w - 30572892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -107, 669, -3, 5, 3, 2.\nAnswer: -107, -5, -3, 2, 3, 5, 669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f - 473 = -14*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -150. Let f = -35 + b. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96921)\/847)\/((-504)\/98).\nAnswer: 89\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 11 + 1. Solve -o*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let w = 0 - p. Let j = -1.976 - 0.024. Which is the closest to w? (a) 0.5 (b) 2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**2 - 752463 - 4*n**2 + 752465 - 2*n**2.\nAnswer: 4*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: -78 - 1356\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 11. Let r(m) = m + 22. Let d(w) = -11*p(w) + 6*r(w). Let q(c) = -4*c + 10. Let n(y) = -6*d(y) + 7*q(y). Is n(4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 641 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 474, 492, 510, 528, 546, 564?\n\"Answer: 18*n + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s**2 - 5*s + 9. Let v(u) = u - 1. Let z be v(6). Let q(j) = -j + 1. Let w(n) = z*q(n) - m(n). Differentiate w(k) with respect to k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14807 - -18643. What is the remainder when s is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 divided by 170524?\nAnswer: 70\/42631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926 a factor of 91068824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 6*d**2 + 15*d - 6. Let v be q(-8). Let u(f) = -f. Let m(c) = 3*c - 1. What is v*m(z) + 9*u(z)?\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4858573, -4858612, -4858639, -4858648, -4858633, -4858588?\nAnswer: -4858507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(2))\/sqrt(10))**2 + sqrt(5) + sqrt(500)\/sqrt(4).\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l - l**2 + 10*l + 1 - 19*l. Let t(v) = 12*v**2 - 9. Calculate 18*j(b) + 2*t(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -25, -18, -1, 20, 39, 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 - (39 - 141) - -239.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 c, and 1 x when four letters picked without replacement from {x: 2, c: 3, i: 3, j: 1, k: 2, a: 3}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38209 + -37907. What is the greatest common factor of h and 41374?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlcmprx. What is prob of picking 1 p and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273, -261, -249, -237?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**12\/b)\/(b**6\/b))\/(b**(-8)*b*b**6) assuming b is positive.\nAnswer: b**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/167 in 8, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -141898 - 0.5?\nAnswer: -141898.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*b - 1121, -5*x + 8*x = -5*b + 1907. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*r - 100*r + 376*r.\nAnswer: 646*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**3\/w)\/(w\/(w\/((w*w**(-9))\/w)*w))*(w\/(w\/(w**2\/w)*w*w))**(-4\/5) assuming w is positive.\nAnswer: w**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3 + 48*l**2*t**2 + 84*l**2 + 17881*l - 2*t**2 wrt l?\nAnswer: 12*l + 96*t**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4679139021460061\/18648 - -250919081154. Let a = -7730\/37 + d. Let l = 1\/56 + a. Put l, -1, 2\/13 in decreasing order.\nAnswer: l, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 25. Suppose -35 + 2 = -3*o. Let q = n - o. Calculate the highest common factor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232 + 229. Let i = -2.8 - 13.2. Let w = 12 + i. Which is the smallest value? (a) w (b) z (c) -0.3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.962? (a) -25 (b) 1 (c) -2.365\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -2\/11 (c) -21 (d) -0.2 (e) -26 (f) -0.92\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - q - 2*q**3 + (2*q**3 + 1 - 1)*(-3 + 3 + 2) + q**3 + 3*q**3 - q**3 - q**3 + 4*q**3 - q**3 + 0*q**3 - 4*q**3 + 2*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-78) + 12988\/(-79456)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 + 3 + 2 + -2. Let u be (l\/(-30))\/((-4)\/24). Sort u, 6, 2 in descending order.\nAnswer: 6, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Let l be -2 - (-3 + (5 - n)). Let m be -4 - l - (-6 - -1). Solve 0 = r - m*f - 5, 5*r + 10*f + 50 = 5*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 16240*y + 12549635.\nAnswer: 5*(y - 1981)*(y - 1267)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 5*o + 9. Let w be 1 + 3 + (2 - 3). Suppose -11 - 1 = -w*q. Let g be s(q). Which is smaller: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/4 - 58585*t**2\/2 + 117169*t\/4 = 0. What is t?\nAnswer: 0, 1, 117169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14292 divided by 7146?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011111 + 1000001100?\nAnswer: 1101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*k + 41 + 45 = 0. Let r(y) = -7*y**3 - 3*y**2 + 2*y. Give r(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 - 18*u**2 + 48*u - 27. Let c(p) = -5*p**3 + 29*p**2 - 74*p + 42. Let l(n) = 5*c(n) + 8*h(n). Give l(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/8 + 20199*k**2\/4 + 10098*k.\nAnswer: 3*k*(k + 2)*(k + 13464)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 3603 = -19*n. Suppose -n - 383 = -4*w. Calculate the common denominator of 7\/10 and (-5 - -2) + w\/11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 58724802.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. Suppose 3*a = s*h - a + 85, 4*h = 2*a - 74. Let z be ((-1)\/(-2)*-2)\/(7\/h). Solve 4*p + 0*p = z*v - 6, v = -3*p + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 948788888?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097337896 to the power of 1\/3, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9139 to two dps.\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919190619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015393 rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/6)\/(114\/513))\/(-9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l - 1. Let f = -5 - l. Let c = f + 17. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/19*l - 2\/19*l**3 + 4\/19*l**2.\nAnswer: -2*l*(l - 3)*(l + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x = -301 + 1 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -124*d + 129*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 11. Let r = 1 - 0.6. Let m = 0.6 - r. Which is the closest to s? (a) -1 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 6 = 4. Let l(r) = -r**3 - r**2. Let m be l(i). Suppose -24 = -g - 3*g. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-60)*522\/(-145).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -241*c. Let g(b) = 0 - 2149*b + 0 + 0 + 2144*b. Give z(g(j)).\nAnswer: 1205*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -68, -2\/109 in decreasing order.\nAnswer: -2\/109, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.57 rounded to one dp?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -28968*p. Let j(f) = 10*f**2. Determine m(j(v)).\nAnswer: -289680*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 189*u + 22 + 21 + 29 - 72 in the form v*u + r and give v.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {i: 3, d: 4, z: 13}?\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(17) + -3 + -5 - (4*sqrt(17)*-2 + sqrt(17) + (sqrt(136)\/(sqrt(32)\/sqrt(4)))**2).\nAnswer: -26 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 56359.42 micrograms?\nAnswer: 56.35942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12185 + 12144. What is the second biggest value in -2, y, 3, 0.4, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*u**2 - 3*u - 19*u + 2*u**2 + 7006 - u**2 - 9215 wrt u?\nAnswer: -38*u - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.2991552 and 5?\nAnswer: 3.7008448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*5*sqrt(10)\/sqrt(5)*-2 + (sqrt(256)\/sqrt(8))**2*-1*-2)*1.\nAnswer: 60 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -2\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/((-12)\/(-15) + (-8)\/(-40)). Let a be 1\/f + (-357)\/(-18). Let s = 4 - 2. Solve 3*k = -s*k + a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 21*f**2 - 39*f - 5. Let o be l(-2). Let i(m) = 3*m**3 + 5*m - 5. Let h(c) = -2 + 3 - c + 0. Determine o*h(d) + i(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232250 and 56400?\nAnswer: 261978000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) -0.5 (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3063?\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 + -48.5. Let n = 32 - l. Which is the second biggest value? (a) n (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5327 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-288)\/(-80))*-12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 17*k - 78. Is z(18) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 409809833 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5829*d*h**3 - d*h - 2*d*s**2 + 3*d + 2*h**3*s**2 + 60*h**3 - 2*h**2*s**2 with respect to d.\nAnswer: -5829*h**3 - h - 2*s**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.3, -738, 5?\nAnswer: -738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -205 (base 9) to base 6\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1057 or -1?\nAnswer: -2\/1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2973.\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1856 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 209 + 19*g - 209 as i*g + z and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67)\/2010*(-25)\/15.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {z: 1, p: 4, v: 2, d: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-42)\/28)\/(3\/16). Let c be ((-76)\/(-78) - 1) + 0. Let t = c + -25\/39. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -43431321040?\nAnswer: -43431321012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 290647243 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 q = 0.101 + 4.899. Sort -1, 29, q in increasing order.\nAnswer: -1, q, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3 - 9) + 4 + (7 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120100010100 (base 3) to base 8\nAnswer: 1115510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*6\/8*-20. Suppose -23 = -2*v + t. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10966?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21 and -11258993876.\nAnswer: -11258993897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.02 + -0.02. Let v = 0.06 + 17.94. Let z = v - 22. What is the second biggest value in f, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04645227 to three dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44651*n - 45048*n - 5591 = 20214 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:13 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b + 65. Let h be x(12). Solve -h*a + 4*a - 3*l + 11 = 0, 3*l = -3*a + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2398 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15080*d*g - 1219*d - 4*g - 19148057 with respect to d.\nAnswer: -15080*g - 1219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 7:24 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -1 + (2 - 20 - (69 - 99))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -5*n + 3*o + 1, -2*n + 10 = -4*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -5, 5, -8, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/194616 and -149\/55332?\nAnswer: 5643864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -999.6 + 1000. What is the biggest value in 1\/3, g, 2.65?\nAnswer: 2.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 10:24 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9\/2 (b) -5 (c) 5 (d) -0.10703\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/20)\/((-120)\/(-1400))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 22 + 11 = -4*o + 3, -4 = -2*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 9:22 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 509*d**2 - 13*d - 1. Let c be o(10). Let x = -2233739\/44 + c. What is the common denominator of -43\/14 and x?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 - 336 = u - 41*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4b59 (base 14) to base 10\nAnswer: 13211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 7*b - 8. Let c be j(6). Let m(z) = -z**3 - 1. What is the units digit of m(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/8, -1071, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 11*s**2 - 11*s - 19. Determine w(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(15\/2)*h**(2\/11))\/(h\/(h**25\/h))**(-2\/49) assuming h is positive.\nAnswer: h**(8347\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-110)\/(-495) + (-1091)\/9. Let v = -120 - w. Solve 0 = 6*m - v - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14*x - 169. Is u(23) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -17 + 2. Let c(o) = o**3 - 4*o**2 - 5*o + 2. Let i be c(5). Solve k = 4*p + 3, -i*k = -r*p - 5*k - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3172 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4642 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 + -7 - (16\/4 + -10) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4064813 and 4064819 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.4033 millilitres to litres.\nAnswer: 0.2634033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)\/f*f**(1\/2)\/f)\/((f\/f**2*f)\/f)**(19\/5) assuming f is positive.\nAnswer: f**(-77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:51 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v - 20. Let i be f(0). Let b be ((-3)\/(-2))\/((-6)\/i). Let k = -5 + 35. Solve -5*r + b*a = k, 0 = -r - 4*a - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dodddddo. What is prob of picking 2 d and 2 o?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 5*q. Let w = -72 - -114. Let o = -41 + w. Let i be (18\/15)\/(((-2)\/(-5))\/o). Let n(s) = -2*s**2 + 11*s. Give i*n(p) - 7*g(p).\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-59107753.\nAnswer: -236431012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 24?\nAnswer: 23.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 21*t**5\/40 - 9*t**4\/4 - 19*t**3\/8 + 9*t**2\/4 - 57. What is x in u(x) = 0?\nAnswer: -1, 0, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183199263?\nAnswer: 1183199263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0*(-2)\/4 + 16 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*n - 19269, 0*t = -5*t + 4*n - 19221. Is 0.1 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104334032?\nAnswer: 2, 11, 17, 34871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 13, j: 3, v: 2, h: 1}. Give prob of sequence hrv.\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -158*l**2. Let k(w) = -23*w**2 - 3. Calculate k(z(y)).\nAnswer: -574172*y**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 419290 by 5.\nAnswer: 83858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbbdcbbqcbdbdhfd. What is prob of picking 1 f, 1 h, and 2 b?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {l: 1, y: 4, c: 1, o: 5, e: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 146*l**2 - 20579*l - 985. Calculate q(141).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7061099 is divided by 1176849.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 752 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/1349 and -18\/7.\nAnswer: 9443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 12007 - 29177 = 0. List the prime factors of f.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 1. What is the remainder when o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Let w = 87 + -136. Let u = 47 + w. Which is the third biggest value? (a) u (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**2 - w**2 + 6*w - 4*w)*(-2 + 0 + 3)*(0*w - 3*w - w).\nAnswer: -24*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 20*c**2 - 8*c - 8. Let k(y) = 7*y**2 - 3*y - 3. Let n(t) = -8*k(t) + 3*p(t). Let z(g) = 159 - 56 - 35*g - 48 - 55. Give n(z(i)).\nAnswer: 4900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 39. Give d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41096844?\nAnswer: 2, 3, 349, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, v: 1, f: 3, m: 3}. What is prob of sequence mq?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 3*q = -10. Which is bigger: q or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -23. Suppose -u = 2*x - 51. What is the highest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/3815 - 12534\/3815. Calculate the common denominator of -2\/3 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1050 + -1050.02. Let k = -2 - -7. Sort -2, k, r in ascending order.\nAnswer: -2, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4773*v = -9679 - 118031 - 43549 + 13750 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let n be i(-2). Suppose n*r + 10 = 0, 3*k + 0*r = -r - 14. Sort k, 2, 0 in increasing order.\nAnswer: k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 30*u**2 + 22*u**2 - 5*u**2.\nAnswer: 47*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44 + -14?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1334797 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-5 - (-5 + 7) - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3448128, 3448127, 3448126, 3448125, 3448124?\n\"Answer: -v + 3448129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 14226*d - 796699. Give g(56).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 + 6*l**2 + 10*l**2 + 10*l**2 + 3 - 12*l.\nAnswer: 30*l**2 - 12*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0*((3\/(-6))\/(-1))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 715 or 1.17?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g + g - 23*g + 678718. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 11 = q, 2*q - s - 4 = 4. Suppose 0 = -4*f + 2*l + 118, 2 = -q*l - 13. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 12245*k + 12240.\nAnswer: 5*(k - 2448)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 11*z + 0*z + 12 + 0. Let a be (-1 + (-2)\/((-8)\/14))*4. Let n be i(a). What is the highest common divisor of 4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4236 and 1.08?\nAnswer: 4574.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -362, -5 in descending order.\nAnswer: 3, 0, -5, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 - 7*h + 7. Let v(d) be the third derivative of d**5\/60 + d**4\/24 - d**3\/6 + 1330*d**2 - 2*d + 1. Give 3*n(y) + 21*v(y).\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1498549088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -186, -378, -570, -762?\n\"Answer: -192*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 2690.\nAnswer: 8070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 0.023 (c) 1468 (d) 1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69465\/761 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:04 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12597849 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16861 - 16834. Solve 30*f - r*f - h + 1 = 0, 4*f - 3*h + 8 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 181*j**2 - 5*j - 9. Let r be p(-2). Let a = 1122 - r. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*x + 5033 = 0, -2*x + 18 = 2*z - 1992. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 1. Let h(m) = 8*m - 18. Let i(a) = 4*d(a) + h(a). Let j be (16\/6)\/(34\/51). Is i(j) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 90876 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*b = -30*b - 720 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b + 12. Let m(z) = z**3 - 2*z**2 + z - 7. Let j be m(3). Suppose -2*k + j*k = -4*h + 14, 0 = -h + k. Solve h*c - b = -7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1010002000010?\nAnswer: -1010002000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 6 = -5*z - 2*p, 5*p = 2*z. What is the nearest to 0 in z, 2\/3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.933 - 2?\nAnswer: -86.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -0.16357\nAnswer: -0.0081785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 951114959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 44*h**2 + 90*h + 135. Let g be f(39). Round g to the nearest 100.\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 - 463\/5. Let x(s) = -s**2 - 10*s + 27. Let a be x(-12). Suppose 3 = -a*g - 12. Put 0.3, z, g in decreasing order.\nAnswer: 0.3, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1219*q + 1276*q - 2964 = 0 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23485511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20693 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 0.1, -0.4, 39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 - z - 2. Let y be s(-1). Solve -5*j - 4*a = -a + 24, 2*j - y*a = 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1112884318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 115 = 13. Let w = 69 + t. Find h such that 48*h + 57*h**3 + 12 - 35*h**2 + 0 + 110*h**2 + 3*h**w + 21*h**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -666496*c**2*r + 3032718*c*r wrt c.\nAnswer: -1332992*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3 = -6*y. Suppose 3*p = -p - 5*m - y, -p - 9 = 3*m. Calculate the least common multiple of 2 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(228)*6*-6)\/(((sqrt(108) + (sqrt(108) - 1*sqrt(108)*1) - sqrt(108)) + sqrt(108))\/(-1*sqrt(324))))**2.\nAnswer: 22161600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*d**3 - 386*d wrt d?\nAnswer: -612*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -157 - -4710864?\nAnswer: 4710706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 8*n**2 + n - 12. Let l be p(8). Which is the fourth smallest value? (a) 3 (b) l (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 18 = 19*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9277, -18555, -27831, -37105, -46377, -55647, -64915?\nAnswer: -74181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d**2 - 4*d - 2. Give u(5).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62748 and 3213?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 - 3*n**3 - 2*n**2 + 6*n**2 - 3*n**3.\nAnswer: -6*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122881?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 5, v: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/17 - 20500\/(-4250). Let f = -1 - -1. Suppose o - 2*k - 7 = f, o - 2*o - k = -1. Solve 2 = t*c - o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 592880088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 a when four letters picked without replacement from {h: 5, a: 6, o: 2}?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) + 1 + sqrt(2) - sqrt(2)) + -2 - (4*sqrt(14)\/sqrt(63))**2.\nAnswer: -5\/9 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578303.1cm to millimeters.\nAnswer: 5783031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngbdgvnndggt. What is prob of picking 1 t, 1 g, and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652287?\nAnswer: 11, 241117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309033, -309030, -309025, -309018, -309009, -308998?\nAnswer: -308985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 395*h - 5296*h**4 + 8*h**3 + 119*h + 5299*h**4 + 33*h**3 wrt h?\nAnswer: 36*h**2 + 246*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {c: 4, l: 2, b: 8, e: 4, d: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 2*j - 2. Let l(q) = q**2 - q + 1. Suppose -96 + 0 = -8*x. Suppose 4*z + x = 0, 17 = 5*b - 2*z - 2*z. Give b*l(y) + s(y).\nAnswer: -y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212 and 919784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 15*x - 36. Suppose -35*k + 28 = 2*c - 32*k, -4*c + 4*k + 36 = 0. Give y(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goo when three letters picked without replacement from loelog?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -17*t**7\/105 - 23*t**5\/30 + t**3\/2 + 77*t**2. What is the third derivative of n(r) wrt r?\nAnswer: -816*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16079758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Let s(f) = f**2 - 36*f. Determine s(c(o)).\nAnswer: o**4 - 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-1\/5)*n))\/((n**(-8)*n*n)\/n))\/(n*n\/(n*n*n**(-1)*n))**(-5\/9) assuming n is positive.\nAnswer: n**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6612810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000049548331 to 7 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0.4, 0.335, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5121433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-9) + 10\/15. Let s = 7 - a. Are s and 7\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3\/8, 167 in increasing order.\nAnswer: -17, -3\/8, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 35*q - 3 = 40*q, w + 2*q - 6 = 0. Suppose 18*b - 2*v = 19*b - 195, -w*v - 1003 = -5*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*t - 23*t - 48. Let d(i) = -i**3 + 5*i**2 + 3*i - 3. Let p be d(5). Calculate the greatest common factor of t and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4513 + -2822. Calculate the greatest common divisor of 178 and l.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4343 (base 10) to base 15\nAnswer: -1448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -7 + -1 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(132) + -1*sqrt(132))*-2)\/sqrt(11))\/(sqrt(216)*-4 - sqrt(54)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 2, -37, -96, -181, -298, -453, -652?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44621 + -2617?\nAnswer: -47138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -23*s**3 - 1. Let i be q(-1). Suppose 5*u - t - 24 = 0, 0*u + 2*t - i = -4*u. Is ((-4)\/u)\/(12\/(-510)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1090672723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, m: 3, n: 3, r: 5, w: 1, p: 1}. What is prob of picking 1 r and 2 m?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1058\/8 + 1 - 78\/(-104). Suppose 14 = 3*x - 1. Suppose -2*s + 0*s = x*t - 54, p = 4*s - 3*t. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147682, 148445, 149208, 149971?\nAnswer: 150734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u. Let i(b) = -5 - 12 + 17 - 3*b. Determine i(t(f)).\nAnswer: 39*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440382425 divided by 5.\nAnswer: -88076485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 8 = 19*x. Suppose -y = -x*y + 6. Suppose -4*m - 158 = -3*o - y*o, -4 = 2*m. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**(-5\/4)\/t)\/t)\/((t\/(t*t**(1\/5)*t*t)*t*t)\/t*t))\/((t*t**(3\/2))\/t**(2\/19))*t**(3\/5)*t*t**(-3\/8)\/t*(t\/((t\/t**4)\/t))\/t**(-3) assuming t is positive.\nAnswer: t**(2873\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3082.42 rounded to the nearest 10?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1932 is divided by 599?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 - (-3)\/(-2). Let v = -38 + 74. Suppose -v = -19*c - 17. Let m(u) = -u**2. Let n(i) = -i**2 + 2*i - 1. Give c*n(o) + x*m(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 5 (b) 3\/19 (c) 6\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -22. Let u(d) be the first derivative of -d**3\/3 + 5*d**2\/2 - 2. Determine u(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1 - 5 + 2195*q - 2201*q. Suppose 12 = -2*v + 4*w, 3*w + 0*w - 15 = 3*v. Is l(v) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -16*y**3 - 12*y - 5. Let n(d) = 15*d**3 + 11*d + 4. Let m(x) = -4*i(x) - 5*n(x). Find the second derivative of m(s) wrt s.\nAnswer: -66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103484034 by -17247339.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbaebgl. What is prob of sequence bblb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*q + 363 = 0, -2*p - 3*p - 5*q - 615 = 0. What is the remainder when (6\/4)\/(6\/104) is divided by (0 + 1)\/((-9)\/p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 2:11 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 8 = -16. Sort q, 12, 1\/4 in decreasing order.\nAnswer: 12, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:19 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 17*p - 13. Let b(j) be the third derivative of -3*j**4\/8 + 7*j**3\/6 + 2*j**2. Let u(l) = 11*b(l) + 6*k(l). What is the tens digit of u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 - 6)\/(2\/((-184)\/6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1918 + -1921. Sort 4, o, 3, 10 in decreasing order.\nAnswer: 10, 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -9)*(-5286)\/(-45). Let x = 10473\/10 - r. Find the common denominator of x and -25\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-10))\/v)\/(v\/((v**7*v)\/v)) assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067 less than -0.8?\nAnswer: -0.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -118. Suppose 57 + u = 2*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7940 and 159594.\nAnswer: 1595940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(13) + -2 + -1) - (sqrt(208)*-3 + 0 + sqrt(325))) + -5)*-4.\nAnswer: -48*sqrt(13) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 3:25 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76120 and 167464?\nAnswer: 837320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*a = -583*a - 80 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 441.2 and 77.\nAnswer: 33972.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 + 9 + 2 - (3\/(-3) + -42). Suppose 0*i + 2*i + 5*o - 62 = 0, -37 = -i - o. Suppose -279 = i*a - d*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*q**2 - 22*q**2 + 2*q**3 + 30 + 13*q**2 wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3623.7 - 3624. What is the nearest to -1\/4 in 4\/7, 2, -13, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*h - 14 + 3, 0 = 2*h - 3*j - 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 7770727.7?\nAnswer: 7770727.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 1 - 22847*n**3 - 80*n**2 + 22851*n**3 + 336*n.\nAnswer: 4*n*(n - 14)*(n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2208562308345.5 + -0.63?\nAnswer: -2208562308346.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12502640 and 7860.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 9*b + 1. Calculate w(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 12*y - 4. Let s(g) = 2*g - 2. Let f(l) = l - 1. Let u(p) = y*s(p) + 5*f(p). Suppose w - 25 = 6*w. Calculate u(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) - (sqrt(1872) + sqrt(1872)*1)**2 - (sqrt(832) + 2*sqrt(832)).\nAnswer: -7488 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 102291094049559?\nAnswer: -102291094049558.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.9767 millilitres to litres.\nAnswer: 0.2179767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 17*m + 34. Suppose -2*i = -v + 34, 4*i - 2*v = -v - 62. What is s(i)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6801*a + 156 wrt a?\nAnswer: 6801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.5 + 83.5. Let s = m + -100.7. What is the third smallest value in 0.02, -3\/7, -5\/2, s?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12354, 0, 2, 46, -5 in ascending order.\nAnswer: -5, 0, 2, 46, 12354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, x: 2, d: 4, f: 1}. What is prob of sequence wa?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4749 + -4761.8175. Let x = -0.0325 + p. What is x rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 25 - 33 = 4*y, 0 = 2*y + 3*c + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -122. What is the highest common factor of 60 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996246 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1043*h**3 + 172*h?\nAnswer: 6258*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*m - 32448 = -384*m + 183*m for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71717, 143443, 215169?\nAnswer: 286895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2568 + -1791. Let z = p - 515. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/9)\/((-1)\/(-3)). Suppose 8 + s = 2*f. Suppose m - 52 = -3*x, f*x - 284 = -5*m + 3*x. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.028290404*0.1.\nAnswer: 0.0028290404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -16. Let u = h - 7. List the prime factors of u\/2*12\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.3. Let f = -65\/7 + 9. Which is the nearest to 1? (a) f (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 69 - 35 = -5*t, -3*t = 12*n + 258 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33 and 403.6564.\nAnswer: 370.6564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**3 - 166*s**2 + 3*s - 6. Let r(z) = 13*z**3 - 333*z**2 + 7*z - 14. Determine -7*j(q) + 3*r(q).\nAnswer: -3*q**3 + 163*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**4\/4 + 5193*w**3\/4 - 2249865*w**2\/4 + 2244675*w\/4 = 0.\nAnswer: 0, 1, 865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -81027 (base 16) in base 9?\nAnswer: -884766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65635 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/4715 and 49\/45.\nAnswer: 42435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11053412137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.8 (b) -0.007 (c) 0.5 (d) -4 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(1088) + 1 + -5) + (1*sqrt(102)\/sqrt(2))\/(sqrt(30)\/(sqrt(60)\/sqrt(6))))**2.\nAnswer: -450*sqrt(17) + 10706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68.44 + 1.56. Let t = 73 - g. What is the third biggest value in 4, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 3*i - 278. Suppose 4*m - r = i, 5*m = 4*r + 113 - 29. Solve -5*a + 5 + m = 0, 3*u - 35 = -4*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.1129, -1\/2, 2\/3 in increasing order.\nAnswer: -1\/2, -0.1129, 2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3*(10 - 1). Let n(w) = 15*w - 11 + 41 + 2*w**3 - 13*w**3 - 8*w**2 + 25. Is n(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 2 - 5*c**2 + 12 - 6.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341998 is divided by 339855?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) - sqrt(315)*1)*-3)\/(2*sqrt(5)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*z + 31150 = -444*z. Let l = -2 + -1. Which is greater: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-13))\/(770\/(-4095)*9).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2983*c + 74. Is g(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 - (0 - 12\/(-4)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43012671 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6101299?\nAnswer: 19, 317, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h. Let k be a(-1). Let m(c) = 2*c**2 + 2*c. Let d be m(k). Suppose -12 = -2*q + 4. Calculate the greatest common divisor of q and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580 a factor of 6097139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114731693 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2646 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1066*z**3 - z**2 + z. Let d be n(1). Is (-11)\/(-11) + (-5)\/((-5)\/d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-18)*f**13 assuming f is positive.\nAnswer: f**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - f + 1 - 1)*(-29 + 34*f**4 - 525660*f**2 + 525660*f**2).\nAnswer: -34*f**5 + 68*f**4 + 29*f - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16119621 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17192?\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42346205.3099 - 1.\nAnswer: -42346206.3099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69.8 + 66.8. Let g = -16 + 174\/11. Let u = 30\/11 - 221\/77. Which is the biggest value? (a) -5 (b) u (c) y (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.9 + 4.1. Let d = a - 17.9983. Round d to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i + 4. Let f(a) be the second derivative of -a**4\/6 + 549*a. Give q(f(p)).\nAnswer: -14*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**1\/((n\/n**(-2\/43)*n)\/(n\/(n**(8\/3)\/n))))**(-7\/4) assuming n is positive.\nAnswer: n**(161\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(0 - (-6)\/(-9)). Let z(r) = c*r + r - r + 1. Let v be z(1). What is the highest common factor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -0.098?\nAnswer: 0.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 57 - (123 + -67).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 7 - 11) + -10 + 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.1. Let g = 0.3 + 0.1. Let v = g + 4.6. What is the third biggest value in -0.1, d, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**3\/3 + d**2\/2 - d. Let s be g(-2). Suppose -144 = -4*q + s*h, -3*q + 5*h + 97 = 4*h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441 and 2016?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20274379555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -37*t - 363. Let k be j(-10). Solve 0 = 4*q - g + 6 + k, -3*g - 12 = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + -664?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3 - 3888*i**2 - 1259712*i - 136048896 = 0. What is i?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645649 is divided by 353?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 2*r**3 + 3*r**3)*(0 + 3 - 5 + 15*r).\nAnswer: 30*r**4 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = 0, 15 + 18 = 3*t + 3*z. Let j = t - 6. Let x = 21 + j. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.08.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120 = 166*x - 54*x. Let w(p) = -3*p**2 - 2*p + 2. Let n(t) = 5*t**2 + 5*t - 5. Calculate x*w(o) - 4*n(o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, c: 1, v: 1, o: 2}. Give prob of sequence bb.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(2\/59)*q\/(q**(-12)*q) assuming q is positive.\nAnswer: q**(769\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1830894 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 2404.7731?\nAnswer: -1202.38655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35299\/32 + -1103. Let l = f - 97\/352. Suppose 13 - 17 = 2*i. What is the closest to 1 in i, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59584 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 - 312 + 27*m**3 + 153.\nAnswer: 27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**2 - 12*f + 8. Let d(i) = -7*i**2 - 25*i + 16. Let y(o) = 3*d(o) - 5*r(o). Is 11 a factor of y(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 11*l - 4*l. Suppose 2*j - l = -0*j. Suppose -5*i - 20 = -i, -j*i + 432 = 2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*y + 4 = 5*y, 5*p - 2*y = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 smaller than 1056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8451836?\nAnswer: 2, 37, 57107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y**2 - 16*y**2 + 44 - 53 - 3*y**3)*(4 + 0 - 6).\nAnswer: 6*y**3 + 2*y**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30051982.9 - -30052028.9000146. Let h = -55.9 - -9.9. Let r = l + h. Round r to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**5\/20 - 13*r**4\/12 - 13*r**3\/3 + 4*r**2 - 2786*r. Determine k(-11).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**3\/k)\/(k**(-2)*k))\/((k\/k**1)\/k)**(2\/145))**(-43\/5) assuming k is positive.\nAnswer: k**(-18791\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -13. Let v(w) = j*w - 11*w + 8*w. Let n(p) = -6*p**2. What is n(v(f))?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 + 493*x**2\/3 + 5312*x\/3 + 4820\/3.\nAnswer: (x + 1)*(x + 10)*(x + 482)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 3054407.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 750886706?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 11566 = 11554. Which is the closest to 0.03? (a) 40 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-15) + (-5122)\/(-6)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9e39 - -148?\nAnswer: a082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/((q**4*q*q)\/q))\/q)\/q)\/(q**(-5\/3)*q))\/(q**3\/((q**(-1)*q)\/q)) assuming q is positive.\nAnswer: q**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-279)\/124*36\/27*(-80)\/510\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -90, -0.3, 159, -2\/303?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + 14*r**2 + 181*r + 1021. Let s be g(-6). Solve 21 = s*j + 63 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 93.5, -2\/7, 5, -2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {t: 5, y: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2311 (base 7) to base 15\nAnswer: 3b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1369 * -8527\nAnswer: -11673463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1398593, -1398594, -1398595, -1398596, -1398597?\n\"Answer: -l - 1398592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -126, -57?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + 2 + sqrt(343) + 2 + ((3*sqrt(343))**2 + 5 + sqrt(343) - sqrt(343)) + ((-4*sqrt(343)*-1 + sqrt(343))*-4)**2*6.\nAnswer: 14*sqrt(7) + 826296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.015, 49850?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/27077 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1733578 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 36 + 10 + 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1, -2540465.\nAnswer: -2540465, -24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 1. Let x be y(2). Let z(t) = -x*t + 2*t**3 + t**2 + 3 - t**3 + 3*t**2 + 5*t**2. Is 22 a factor of z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4, -5\/2, -11?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3 = -2*f - 4 + 25, -3*g + 25 = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7089923, 7089924, 7089925, 7089926, 7089927?\n\"Answer: c + 7089922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 4. Let v(f) = 11*f + 30. Let h(t) = 52*t + 156. Let j(s) = 5*h(s) - 26*v(s). What is j(y(d))?\nAnswer: -78*d + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -11*d**4\/12 - d**3\/2 + 11*d**2\/2 - 24*d. Let p(q) = q - 3 - 3 + 5*q**2 + 1. Let g(l) = 6*a(l) + 13*p(l). What is g(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a37a5 (base 11) to base 7.\nAnswer: 1200204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 0.4, 0.5, 3\/4, -0.12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038 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: Simplify (sqrt(912)*-5)\/(sqrt(30)\/(sqrt(10)*-2)).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duddddduuuduuu. Give prob of sequence duu.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*j + 9416 = -13992 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Let t = l - 0. What is the closest to t in 1\/9, 1, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/7828?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 - -229. Suppose -5*m = -73 + 3. What is the highest common divisor of p and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34951?\nAnswer: 7, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 6, c: 2, e: 1}. What is prob of sequence jjjq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 5 - 6*n + n**2 + 1\/3*n**3. Is w(-9) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 16 = -2*u - 9, 3*p = 3*u + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3002\/141 - 2\/47. Calculate the common denominator of -56\/9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-3\/20)*(b**0)**23*((b**4\/b)\/(b**3\/b*b))**(-12\/7) assuming b is positive.\nAnswer: b**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5444, 5455, 5474, 5501, 5536?\n\"Answer: 4*h**2 - h + 5441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -48, 35, 5 in descending order.\nAnswer: 35, 5, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.956032 centuries in millennia?\nAnswer: 0.5956032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/10 + (-9905)\/75)*-3?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/10 of a centimeter?\nAnswer: 17000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26277183 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -43) + 0 + 0 - ((-9 - -7) + 14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833739 a multiple of 1489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**10*z*z\/z**(-5)*(z**(2\/15)\/z)\/(z\/(z*z**4)) assuming z is positive.\nAnswer: z**(317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 11\/12*z**4 - 49 - 3*z**2 - 4\/3*z**3 - 1\/20*z**5 + 2*z. Give c(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -535719, 2, 4\/5, -0.2 in increasing order.\nAnswer: -535719, -0.2, 4\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 + 271 + 2638*h - 81 - 93 - 1 + 1 - 2*h + (-1 - 4 + 3)*(-4*h + 0*h + 2*h) + 0 + 0 + 2*h to d*h + b and give d.\nAnswer: 2642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11515764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6657690.9999937 - -6657684. Let o = r - -7. Round o to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55312 (base 6) to base 2\nAnswer: 1110111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eoeeceeeeeeeec.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 + 927*g - 40887. Determine c(38).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.099, -1\/3, -5\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63533 is divided by 3344?\nAnswer: 3341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by -3044190.\nAnswer: -53\/1522095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184036 + -7792.\nAnswer: 176244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9990 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-40)\/((-50)\/(-10)))\/(-2)*19?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2119767176 and 0.1?\nAnswer: 2119767176.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + -6*(sqrt(95) - (sqrt(95) + sqrt(95)*2)))\/(-2*2*sqrt(5) + sqrt(5) - sqrt(5)))**2.\nAnswer: 3211\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 6*q**2 - 6*q. Let a be i(-6). Let b = -33 + a. Solve 0*f - b*f = -2*g + 17, 25 = -5*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 7872.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-132 - -177) + -130.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.4 (c) 280\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, g: 1, x: 10}. Give prob of sequence gm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1034299200?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1546 + 2192. Calculate the greatest common divisor of 76 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/10243212 and -73\/258.\nAnswer: 440458116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (469\/(-35644))\/((1\/8)\/((-1)\/5)).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.00833336 rounded to four dps?\nAnswer: -2.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = -4*z + 3, -4*x + 3*z + 15 = 0. Let n(r) = -12*r + 2. Determine n(x).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k - 3. Let j(v) be the third derivative of v**4\/6 - 2*v**3\/3 + 2*v**2 + 2*v. Give 6*g(t) - 5*j(t).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26606573, 26606575, 26606577, 26606579, 26606581?\n\"Answer: 2*j + 26606571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -315112.\nAnswer: -31511.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10499, 10043, 8833, 6491, 2639, -3101, -11107?\n\"Answer: -63*v**3 + v**2 - 18*v + 10579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971416211 is divided by 1556.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + -5 + (((-2 + sqrt(612) + -2)**2 - sqrt(612)) + sqrt(612) - ((sqrt(612) - sqrt(612)*-1)*5)**2))*-6.\nAnswer: -726972 - 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*q - 1580 = 0, 1175 = v + 2*v + 2*q. List the prime factors of v.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 55 - 56*c - 28 in the form s*c + n and give s.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 14 - -16 - 1 - (-4 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -398, -3, -1, 4 in descending order.\nAnswer: 4, -1, -3, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 70*c**2 + 23*c.\nAnswer: c*(c + 23)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 667073 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.3 + 14. Which is the third biggest value? (a) 4 (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzvvevvevevvv. Give prob of picking 2 e and 1 v.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61447740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -29.00000044. What is g rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -388, -958, -1934, -3418, -5512, -8318, -11938?\nAnswer: -16474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2. Let b(j) be the third derivative of 0*j + 0*j**3 - 1\/10*j**5 - j**2 + 0*j**4 + 0. Determine y(b(z)).\nAnswer: -108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*p = -27, -2*p + p = 2*t - 9. Suppose -c - n = 1, -4*c + t*n - 3*n - 18 = 0. What is the remainder when 22 is divided by 16 + c - (-1 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392825509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 524 + -61?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 - (-3)\/(-9). Suppose 0*b + 3*b - 15 = v. Suppose -2*q = m - 28 - 31, 164 = b*q - 3*m. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {g: 3, u: 1, x: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59434 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 12*t**2 + t + 3. Determine o(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {n: 7, b: 1, h: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phrsi. Give prob of picking 1 i, 1 h, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1 + (-5 + 2 + 1)*(-1 + 0 + 2))*(-b - 2 + 2).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*c + 363 + 219 = 0, 0 = 3*j - 4*c - 1651. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*l + 4 + 8 = 0, 3*n - 3*l + 9 = 0. Suppose 2*j = -3*k + 8, k = 2*j - n*j - 8. Solve k = -2*i + 3*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in -537, 14, 2\/5, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 211 - 3167\/15. Let b = 4\/5 + k. Is 8 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from eeeheeeehee.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17562510 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.3. Let u = 0.3 + m. Let n(t) = 12*t + 63. Let q be n(-5). Which is the biggest value? (a) q (b) 1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-5 - (-1 - 3)). Which is the closest to -2\/5? (a) 1 (b) -2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -151\/10069 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 85, 176, 273, 376, 485, 600, 721?\n\"Answer: 3*y**2 + 82*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 137 - 7 = 0. Suppose 51 = -29*p + 28*p. Find the common denominator of 2\/10*(p - -10) and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(352)\/((sqrt(88) - (sqrt(88) + sqrt(88)*-1))\/sqrt(11)) + (-1*(-4 + -1*sqrt(275)))**2*-2 + 0.\nAnswer: -582 - 82*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g - 4. Let s = 10 + -14. Let h be f(s). Suppose -4*z - h = -4*r, -z = -2*r + 4*r - 13. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4506 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 48*k + 55. Let h(w) = -w**2 + 12*w + 185. Let t be h(20). Determine i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 5:38 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -208, -449, -834, -1363, -2036, -2853?\n\"Answer: -72*y**2 - 25*y - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1347*1*4\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 7*u**2 - 7*u - 7. Let p be m(-6). Let f = -9 - -2. Let y = f - -11. Sort y, 0, p in descending order.\nAnswer: y, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 1, -3957, 3\/4?\nAnswer: -3957","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 361 * -0.0303703.\nAnswer: -10.9636783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 8*p + 7*p**4 + 18*p - 9*p**4 as d*p**2 + i*p**3 + g*p + s*p**4 + a and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 7. Let h(x) = -17*x + 0 - 3 + 6*x - 16*x. What is the units digit of h(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330546 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1860993.1154 - 3\nAnswer: -1860996.1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - 2*t + 4*t + 8 - 4*t + 0*t + t + 2*t - 4*t + 5*t + (-4 + 0 + 6)*(1 - 1 + 2*t).\nAnswer: 6*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 167521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1623 + -1626. Let v = -14\/17 - -149\/119. Sort 2, v, 1, s in ascending order.\nAnswer: s, v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-110)\/8) + 580\/2320?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/(1*sqrt(11)))\/(sqrt(18)*1))\/((sqrt(3) - (sqrt(3) + (sqrt(432) - (sqrt(432) + sqrt(432)*-4)))) + (sqrt(243)*-2 - sqrt(3))).\nAnswer: -sqrt(5)\/201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, q: 2}. What is prob of picking 2 d and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4100 divided by -820.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfw when three letters picked without replacement from {q: 2, f: 2, w: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5076936 or -5076935?\nAnswer: -5076936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -9 - (1 + 3 - (-5 - -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - 1015345022?\nAnswer: -1015345045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d + 11. Let u(z) = -4*z - 6. Let f(o) = 6*q(o) + 11*u(o). Let a be (22\/(-4) - -4)*2\/(-3). Let i be f(a). Let x(j) = j**3 + 3*j**2 - 2. Give x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10*j + 3. List the prime factors of p(-3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-69)*(-5)\/(-18)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26006*f - f**2 - 26006*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07170922 + 0.1017094. Let y = 0.03 - f. Round y to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*j**2\/5 - 1748*j - 57200.\nAnswer: 4*(j + 25)*(27*j - 2860)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + (-6)\/21. Solve -4*p - 4 - 16 = x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44023 or 748370\/17?\nAnswer: 748370\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 4675*x - 12. What is j(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7149?\nAnswer: 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61949\/123 or -505?\nAnswer: -61949\/123","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 16) to base 8.\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6303255 and -53\/7203720.\nAnswer: 50426040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1228 - 34813?\nAnswer: -33585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(28)\/sqrt(4).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 824 - 885.85. Let q = -64 - t. Let y = 0.15 + q. Put 2\/9, -7, y in decreasing order.\nAnswer: 2\/9, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.31 + 4.31. What is the nearest to -0.1 in z, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h - 53*h - 6 = 5*i, 4*h + 2*i - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*p - 7848 = 463*p - 903*p for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.141 - -57.859. Let j = h + -58.0047. What is j rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.125193 + 0.053672. Round n to 3 dps.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) -2 (c) 26\/9 (d) 5 (e) 253\/162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 346*h - 29171. Give l(146).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.5, 2, 60?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, q: 6, n: 3, i: 2, f: 1}. What is prob of sequence zf?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42067 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a892 (base 12) to base 9.\nAnswer: -58782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0006 and 173.\nAnswer: 0.1038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxxvvvvvvv. Give prob of picking 2 x.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1215 - 1207. Which is the third biggest value? (a) -0.5 (b) r (c) -6\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 2462527.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 1\/280*b**7 + 1\/240*b**6 + 0*b**4 + 0 + 0*b**3 - 2*b**2 - 5\/1344*b**8 + 0*b + 0*b**5. Factor x(v).\nAnswer: -v**3*(v - 1)*(5*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42362\/(-767) + (32 - -2) - -18.\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3182.705 and -21.\nAnswer: -3203.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2460.1 + 2460.2. Let w = 0.07 - -0.23. Which is the closest to v? (a) -1 (b) w (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.31 + 0.24. Which is the second biggest value? (a) -0.5 (b) 0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(6) - sqrt(300)\/sqrt(2)))**2 + -1 + 0 + sqrt(684).\nAnswer: 3\/16 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 774274157?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**4 + s**4 - 20*s**4 + (-1 - 1 + 1)*(-5293*s**4 + 3037*s**4 + 2860*s**4) to m*s + z*s**4 + b*s**3 + k + n*s**2 and give z.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 1175*n**6\/4 + n**5\/30 - 5*n**4\/24 + n**3\/3 + 11*n**2. Let b be w(2). What is b rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -133*k + 769. Give n(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + d + 3. Let c(i) = 444*i**2 - 185*i - 555. Determine -2*c(p) - 370*m(p).\nAnswer: -518*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3022, -6155, -9278, -12391, -15494?\nAnswer: -18587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 7 = -3*u + 18, u = -4*l + 13 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**2 - 2*o**4 + 5*o**2 + (3*o**3 - o**3 + 0*o**3)*(-3*o + 5*o + 0 + 2) + 1 - 1 + 2*o**4.\nAnswer: 4*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6509.908 millilitres?\nAnswer: 6.509908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44884 or 44890?\nAnswer: 44884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**5\/20 + 19*b**4\/12 + 14*b**2 + 6*b. Differentiate u(h) with respect to h.\nAnswer: 3*h**2 + 38*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1871, -7570, -17061, -30338, -47395, -68226, -92825, -121186?\n\"Answer: a**3 - 1902*a**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0 + 84. Calculate the common denominator of 1 - (-1 + (-267)\/v) and -9\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 340757, 681538, 1022319, 1363100, 1703881?\n\"Answer: 340781*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 569, 12, -4, -12, 1, -5 in descending order.\nAnswer: 569, 12, 1, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-4) + (-268411)\/(-37540)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1142625\/2422 - -19\/346. Let h = m + 473. Calculate the common denominator of h and 47\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**4\/6 + p**3\/6 + 8*p**2. Determine s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 1. Let b(w) = -8*w**2 + 6. Let m(r) = -b(r) + 6*d(r). Let f(s) = 7*s. Determine m(f(l)).\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(190)\/(sqrt(10) + sqrt(490)) + -4 - -3*-5*sqrt(1900)*-4)**2.\nAnswer: -4801*sqrt(19) + 437943635\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1573) + sqrt(1573) - sqrt(1573) - sqrt(1573))*2 + 0)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5873\/2 + 3099. Let r = -560\/3 + j. What is the common denominator of r and -95\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.279609 rounded to 3 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 855486.6kg?\nAnswer: 855486600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + -78. Let y be -4*(0\/(-9) + l\/4). Let o(q) = 4*q + 5. Suppose -m - 3 = -5. Let a(n) = -5*n - 6. What is m*a(p) + y*o(p)?\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10952 + 25184. List the prime factors of s.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 0. Suppose 2*o + o - 12 = j. Suppose -o*c + 3*c = -5. Let p(a) = a**2 - 4*a - 6. Calculate p(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orosssskoksrkgooog. Give prob of sequence rks.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 14 = d, -4*t = 3*d - 3*t - 16. Suppose d*j = 29 + 43. Find the second derivative of 4*u**2 + 21*u - j*u - 20*u wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 2:32 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -136660.87912 rounded to 0 decimal places?\nAnswer: -136661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 118 - -3?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + (-1*sqrt(243) + -5)**2 + (sqrt(243)*-2*2 - sqrt(243))**2.\nAnswer: 99*sqrt(3) + 6343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10297 - -10315. Let q(r) be the second derivative of -5\/6*r**4 - 1\/10*r**5 - m*r + 1\/3*r**3 + 0 + 5*r**2. Factor q(k).\nAnswer: -2*(k - 1)*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3035*i - 23691. Determine t(-8).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -753540.0011 + 753493. Let t = -47 - z. Round t to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((5 + sqrt(3) + -2)**2*2 + 4 + 5).\nAnswer: 12*sqrt(3) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2138 + 315000*h**3 - 2505*h**4 + 1075 - 312500*h**2 + 5*h**5 + 1063 = 0. Calculate h.\nAnswer: 0, 1, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -8, -1, 30, 97, 212, 387?\n\"Answer: 2*o**3 - 6*o**2 - o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let l(w) = -27877908*w**2 - 2*w. Determine i(l(t)).\nAnswer: 27877908*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -10378894.\nAnswer: -10378895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 = -11. Suppose h + 8 = -h + b*z, 0 = -2*h - z + 16. What is the remainder when 31 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 less than -23202\/403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(100\/(-85)) + -3. Which is the closest to 1\/3? (a) d (b) -3\/2 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/4 + 14872*y**4 + 221072245*y**3 - 6195645711*y**2\/2 + 6200495163*y\/4 + 34519758039\/2 = 0.\nAnswer: -29751, -2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**3\/3 + u**2 + 4*u - 14. What is f(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 4. Suppose 0*v - 4*v - 3 = -s, -21 = 5*s - 2*v. Let z be m(s). Let a be z\/(-2) - (3 + 0). Solve 3*t - 4*t = a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -18*q + 44*q - 15*q. Let g(w) = w**2. Give y(g(o)).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2980317?\nAnswer: 3, 23, 47, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17918?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, 1, 18, -16, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 108, -22143\/7, -34?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 23. Suppose -10 = -2*s - k, 0 = -5*s + 2*k - t*k + 16. List the prime factors of (-43 + 0\/s)\/(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3512 and 2.8?\nAnswer: 12.18336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 9:23 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -18. Let w(u) = -5*u**3 + 3*u**2 - 8*u + 5. Let j(o) = 5*o**3 - 3*o**2 + 7*o - 4. Let x(g) = l*j(g) + 5*w(g). What are the prime factors of x(2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - -11. Let j = 139 + y. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 4. Suppose m - 7 = -a, -17 = -5*a - 2*m + 24. Let j be (-64)\/12 - (-3)\/a. Determine n(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 17 (c) 5 (d) 0.2 (e) -746 (f) 147\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 4 (c) 0.07 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 1)*(932 - 32*k - 932).\nAnswer: -160*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 9:21 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -18. Suppose 2 = 5*d - a. Solve d*q + 4 = -6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 46216623?\nAnswer: -46216616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 13*s**3\/6 + 104*s**2 + 2*s - 15. Does 25 divide l(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 6565*t**3 - 2*t - 6524*t**3.\nAnswer: 41*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 + -0.98. Let w = 1.4 + y. Let h = 174 - 174.3. Which is the second biggest value? (a) h (b) 0.05 (c) w (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(7) + 1.\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62379, 252229, 568641, 1011609, 1581127, 2277189, 3099789, 4048921?\n\"Answer: -f**3 + 63287*f**2 - 4*f - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.274730674 rounded to 5 dps?\nAnswer: -0.27473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/79)*i*i**43*i*i*(i**(2\/187))**(-2\/41) assuming i is positive.\nAnswer: i**(28451921\/605693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140*n**4 + 130*n**2?\nAnswer: 3360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280132.\nAnswer: 2, 7, 131, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 - 2*p**3 + 0*p**3 + ((224 - 119 + 184)*(-p + 0*p + 2*p) - 1 + 1 - 2*p)*(-3*p**2 + 6 - 6) to m*p + q*p**3 + l + r*p**2 and give q.\nAnswer: -859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.1 - -11. Let s = f - -2.1. Which is bigger: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5))**(-22))**(-31\/3) assuming l is positive.\nAnswer: l**(-682\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329228, -329230, -329234, -329240, -329248, -329258, -329270?\nAnswer: -329284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-6)*4*-3. Suppose -5*o - 11 = m, h*m - 54 = 5*o - 16. Calculate the remainder when 25 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -2a624a?\nAnswer: 2a6257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 66 = 2*a - 5*b, 4*a - b - 188 = 0. What is the second derivative of a*q + 18*q**3 + 13*q - 33*q wrt q?\nAnswer: 108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78.5 + 78. What is the nearest to 1 in -4, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2 + (-33)\/(-15)). Suppose -9*r + 303 = -507. Suppose 0 = -4*y + 10 + r. What is the highest common divisor of y and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 1657233575.15?\nAnswer: 1657233571.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and 53213.11.\nAnswer: 53200.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 9*k - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 308*h**2 + 308*h**2 + 2649*h - 3*h**4 - 616*h**2 - 170*h**3 - 1 + 444*h**3 wrt h?\nAnswer: -36*h**2 + 1644*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 23. Let v(r) = -2*r**3. Let a(x) = x**3. Let j be (-1)\/(-4) + (-38)\/16*-2. Calculate j*v(m) + s*a(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -4, -75, 11 in descending order.\nAnswer: 11, 9, 0, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.82 and 497479?\nAnswer: 497478.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 4*g**2 + g - 4. Let p be m(4). Let s be 7\/(1 - p\/2). Factor -s - 2*u**2 + 3 + 0*u + 6*u.\nAnswer: -2*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16, -14, -10, -4?\n\"Answer: y**2 - y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 42280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15203 (base 6) to base 13\nAnswer: -1167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12929 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**10*t\/(t**11*t))**(18\/5) assuming t is positive.\nAnswer: t**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5421402 and 126378?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1129125 and 600.\nAnswer: 9033000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/9)\/(30\/171459). Let t = l + 1911. Find the common denominator of 15\/14 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c - 3*c)*(-479*c - 40445*c + 3931 - 3931).\nAnswer: -40924*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose 15*j - 47 = -2. Solve 5*x - 5*v = 40, j*x + v - 8 - k = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 9:44 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 2*t + 2*t + 5*t - 8*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 - 42. Let m = 211 + b. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(12\/(-3)))\/((-29)\/((-290)\/(-40)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i**3 - 54*i**2 + 1\/12*i**4 - 1\/60*i**5 - 1\/120*i**6 + 0 + 0*i. Factor y(r).\nAnswer: -r*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (-2*(sqrt(275) - 1*sqrt(275)) - (1 + sqrt(275) + -2*sqrt(275)))**2 + -2.\nAnswer: -10*sqrt(11) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 1 = 2*x, -2*x - 3*s = s - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 + t**2. Let m be v(1). Let p = m - -5. What is the third derivative of 0*c**6 + 4*c**2 - 9*c**6 - c**p wrt c?\nAnswer: -1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 4, -1\/7, 1, 0, 2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 27*b**2 + 2*b - 11. Let p be r(-27). Is -61 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*(-1462)\/(-129). Let z(i) = i**2 + 3*i - 44. Is z(h) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n + 20*n**2 - 2*n**2 - 5*n. Suppose -y - 3*y + 4 = 0. Calculate h(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 - -1.2. Which is the closest to -0.2? (a) -0.1 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 419 + 197. Calculate the remainder when w is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396437.705708 take away 1025?\nAnswer: 395412.705708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 569, 4, -5 in descending order.\nAnswer: 569, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(4\/11)\/x)*(x\/(x*x*x*x*x**(-2\/3)\/x))\/x*x assuming x is positive.\nAnswer: x**(10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 22 = -2*t, -786*z + 784*z + 17*t + 263 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -52. Let v = s + -35. Which is smaller: 7\/3 or v?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76*n**4 - 384.\nAnswer: 304*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*8\/(-20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 97, 98, 99, 100, 101?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14238 and 0.1.\nAnswer: -1423.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.51 - -8.51. Sort 0.9, 4\/5, 0.07, j.\nAnswer: j, 0.07, 4\/5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbvb when four letters picked without replacement from {v: 2, b: 10, d: 2}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -24*k**3 + 151220*k**2 - 579392*k + 428196 = 0.\nAnswer: 1, 17\/6, 6297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 39*i - 37. Calculate x(-5).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 16, 0 in descending order.\nAnswer: 16, 10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t - 20. Let v be n(-4). Solve -3*z + 22 = -5*a, 2*a + v*z + 5*z - 16 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 2, c: 2, t: 5, z: 7}. What is prob of picking 1 u and 1 t?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587728?\nAnswer: 2, 109, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000059179 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5559151067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s = -55*s - 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914 is divided by 47?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119.2 + -119. Let g = -0.3 - -1.3. Put u, g, 2 in increasing order.\nAnswer: u, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1037884*x**3 + 7*x**2 - 7*x**2.\nAnswer: 1037884*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 4. Let n(r) = r**2 + 3*r - 6. Calculate the remainder when n(v) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*i - 314*i - 108 = 0. Solve 12*m - i = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, 19 in decreasing order.\nAnswer: 19, 16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 60?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*-1*8 - (-148 + 150). Let v(s) = s**2 - 8*s + 20. Determine v(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/5)*z*z*z\/(z*z**(1\/2)))**(-15)*(z**6\/(z**(-3\/4)*z))\/(z*z**(-2)\/z*z**(-2)) assuming z is positive.\nAnswer: z**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -249, -4, -3, -289 in decreasing order.\nAnswer: -3, -4, -249, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 473820426 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3 - 23. Suppose -4*o = -2*r - 112, -140 = -b*o - r - 4*r. Calculate the remainder when 54 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -64?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26199 and 40585162.\nAnswer: 365266458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91.5 and -47.\nAnswer: -4300.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6 - 16 + 9. Let d(g) = -5*g**2 - 35*g - 28. Let w(r) = d(r) + 2*z(r). Let w(k) = 0. What is k?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/47 (b) 3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 5:40 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -1\/2, -231?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -463\/53?\nAnswer: -463\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -21328*r**2. Let k(n) = 32*n**2. Determine w(k(l)).\nAnswer: -21839872*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-14) + (-2)\/7. Let k(a) = -a**3 + 8*a**2 - 7*a + 3. Let y be k(7). Solve f = y*p - p + 1, -o*f - 20 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3528 divided by -8.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241507805 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.7473 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -14*b. Let f be p(-1). Let a = f - 12. Solve a*y = -5 + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2448\/(-561))\/((-22)\/(3872\/(-24))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/(271\/(-1626)*1*2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 33*f - 2. Let m(c) = -5*c**2 - 165*c + 11. Calculate -11*a(n) - 2*m(n).\nAnswer: -n**2 - 33*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s - 35*s + 13 + 3*s + 9*s + 17*s.\nAnswer: 11*s + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/120 - (3 - (-2 - -2))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 10, r: 4}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhuuhhhhhhhhhuhhhh. What is prob of sequence huhh?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(8) + (sqrt(56)\/sqrt(7))**2).\nAnswer: 12*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 318*r**2 - 919*r + 9389. Determine z(-315).\nAnswer: 1199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z - 5. Let u(p) = p**2 + 21*p + 55. Let c(f) = 4*f + 11. Let b(k) = -11*c(k) + 2*u(k). Determine 2*b(q) - 5*i(q).\nAnswer: -q**2 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 78 = 10*t, 1031 = 3*q - 6*q + 40*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 2, o: 4}. What is prob of picking 2 o and 1 c?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/3, -1\/7, 3351?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g**3 - 12*g - 57. Does 12 divide j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l + 2. Give p(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.5. Let k = 39.896 - 40.2. Let u = 4.696 - k. Which is the second smallest value? (a) u (b) q (c) 7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1753 - 1750. Solve -4*n = 2*v + 8, -r*v = 2*v + 2*n + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -78, -2\/1105, -3, 1\/3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 22944 - 22917. Calculate the remainder when 100 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 83831, 166663, 249495, 332327?\n\"Answer: 82832*v + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*i + 28, -10*i + 6*i + 4 = 3*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + m + 1846 - 379*m**3 - 1845.\nAnswer: -379*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 6, w: 1, r: 1}. What is prob of picking 1 w, 1 r, and 1 s?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 + 143906*x + 143908 = 0. Calculate x.\nAnswer: -1, 71954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 816 and 1326?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -80290 to the nearest one thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**5 + 52*h**4 - 184*h**3 + 48*h**2 + 288*h = 0. What is h?\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 168968 or 26527882\/157?\nAnswer: 168968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-197)\/(2*4\/(-8)). Suppose 5*y + 2*x = 74 + c, 2*x = 5*y - 259. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 1. Let s be l(1). Suppose -s*r + 3*o + 1 = -6, r - 5*o - 6 = 0. Let n be 20\/(-126) + (-2)\/7. Put n, r, 4\/3 in ascending order.\nAnswer: n, r, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13760, -13748, -13732, -13712?\nAnswer: -13688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 20 = 2*x, x = 4*l + 1705 - 1686 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26 + -1 + -13 + 16. Suppose -17*c + o = -6. Solve 10 + c = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1417 + 2*v - 2828 + 3*v + 1409 - 4*v.\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519584 + 518362 + 5*n + 7*n - 5*n.\nAnswer: 7*n - 1222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.11 - 1. Let a = 250774 - 250774.1. What is the smallest value in -5, a, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0*x - 1\/20*x**5 + 0 - 2*x**2 + 1\/24*x**4 + 0*x**3. What is the second derivative of s(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:31 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7113 - -7148. Calculate the least common multiple of x and 1449.\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/4, 374?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -4.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287457 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/2)\/(-5)*-198*77\/(-823284).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33370 + 49223. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4437 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4802 and -0.2.\nAnswer: 0.2802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32231 - -32287. What is the greatest common factor of 868 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 0*y**2 - 3*y - 2 + 2 - y**2 + 2. Let i be n(-2). Let l be i*-80*(-1 - 499). Round l to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0, -36, -0.1 in ascending order.\nAnswer: -36, -1\/8, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(2\/7))\/(s*s**(-7)*s))**(-12))**(1\/14) assuming s is positive.\nAnswer: s**(-240\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0*n**3 + 0*n + 1\/8*n**4 + 0 - 6*n**2. Let u(d) be the second derivative of d**3\/3 - 3*d. Give g(u(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 493 = -5*a, -2*a + 196 = g - 0*g. Suppose -2*i + 3*i = a. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1136 + 1138. Let r = 2.05 + -0.05. Let q = -2 + r. Which is the nearest to q? (a) 3 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**9\/7560 - k**5\/30 - k**4\/3 + 3*k. Let b(c) be the third derivative of t(c). Differentiate b(m) wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.4 times 1079?\nAnswer: 34959.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and (420\/(-175))\/((-2)\/10)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**5 - 64*s**4\/3 - 12*s**3 + 128*s**2\/3 + 16*s - 64\/3 = 0.\nAnswer: -4, -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 1 s when three letters picked without replacement from {s: 3, z: 1, u: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 611\/52 + -11 + 7\/(-12). Which is the nearest to g? (a) -0.5 (b) -16 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8743*y - 146. Is c(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 2*v - 3*v - 2*v**2 - 16 - 22 - 2*v**3 + 64 as i + c*v**2 + j*v + s*v**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 22 - 34. Let i = j - -25. Find the second derivative of 8*f**3 - i*f - 5*f + 22*f wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-84)*(3\/(-15) - (-150)\/27000). Suppose 0 = 2*f - 10. Suppose -4*b = -f*x, -b + x = -0*b. Which is greater: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/9 - (-10)\/15. Let l = j - 2. Let p = 0.8 + -0.85. Is l > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2974921 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-9)\/(-10)) + (-8)\/6. Let u(f) = -4*f**2 + 7*f - 2. Let w be u(d). Sort 1, 4, -3, w.\nAnswer: w, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 14*m. Let w = -82 + 87. Let j be ((-84)\/16 + w)*4. Calculate x(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 57. Solve 2 = k + o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125032.\nAnswer: 2, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/6 + 1127*f\/6 - 565.\nAnswer: (f - 3)*(f + 1130)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.195606 seconds in days?\nAnswer: 0.001981430625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137*i + 187?\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/54)\/(960\/(-10368)*-306)?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(-1)\/y)))**22\/(y**(-1\/5)\/((y**10\/y)\/y)) assuming y is positive.\nAnswer: y**(-179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*y**2 + 24*y**2 + 21*y**2 + 4*y**2 - 3*y**2 + 3*y**2 + (y**2 + 2*y - 2*y)*(3 + 1 - 2) to n + s*y + b*y**2 and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/174 + 89\/348. Which is the second biggest value? (a) x (b) -5 (c) 0.7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31\/84 - -1\/12. Let s(u) = -u. Let z(j) = 2*j + 12. Let o(p) = 3*s(p) + z(p). Let h be o(12). Which is the closest to h? (a) x (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*x + 2, 4*x - 5*x = 5*m + 1. Let v be 6*((-3)\/9 - x). Suppose -2048 = -4*r - v*t, t = 2*r - 2*t - 1049. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34500 - 537*d**4 + 34500)*(1 + 0 - 3) + (3*d**2 - 3*d**2 - d**3)*(-d + 0*d - d) - d**4 + 0*d**2 + 0*d**2 - 2*d + 2*d - 2*d**4 - d**4 - 1 + 1.\nAnswer: 1072*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21453.558 months?\nAnswer: 178.77965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 917*a + 107125. Determine g(138).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 6 - y + 2*y. Let t be c(1). What is the greatest common factor of 152 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -629 or -626?\nAnswer: -629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 6621851.\nAnswer: 2648740.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768*b**2 - 169*b**3 + 350*b**3 - 63*b**2 - 178*b**3.\nAnswer: 3*b**3 + 705*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59676580 divided by 59676580.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*v - 18 = 0, -5*v + 6*v = 2. Let q = 8 - a. Find the third derivative of -2*i**q - 2*i**3 + 0*i**3 + 3*i**2 wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 5*h + 1. Let w be y(6). Let n = w - 2. Let b = 11 + -9. Sort b, 0, n in descending order.\nAnswer: n, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 1050 = 19*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/328196 and 75\/343114.\nAnswer: 7548508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 99. Let k(s) = 4*s - 196. Give 13*a(j) + 6*k(j).\nAnswer: -2*j + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*d - 5*r, -4*d - 3*r = -2784 + 2807 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = -3*j + 154. Let a(o) be the first derivative of 2*o**2 - 6*o - 2. Calculate a(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 14) to base 2\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8052656*-5.\nAnswer: 40263280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 7 = -25. Let d be 32\/5 + (-4)\/10. Sort d, 4, z.\nAnswer: z, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - (-120600)\/84 - 2. Let o(h) = -h + 13. Let b be o(6). Is (b\/21)\/(2\/w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635622083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/3890 and 117\/5920580?\nAnswer: 5920580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + f + 52. Let r = 43 - f. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*h = 106*h - 3*y + 4, 4*h + 2*y = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/272 and -71\/748.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*a + 2*z, -z + 2 = -a + z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1667, 1686, 1707, 1730?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/8 (b) 0.5 (c) 0.051 (d) -1\/9 (e) 1804\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**6\/15 - 49*n**5\/10 - n**4\/6 + 134*n**2 - 405*n. Find the third derivative of y(o) wrt o.\nAnswer: 48*o - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128.9998 + 129. What is i rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*h - 522*h + 3*o = -17, 2*h - 7*o - 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17099 divided by 234\nAnswer: 17099\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.175 times -47?\nAnswer: -3956.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(117)*-3*-2 + ((3 + sqrt(13))*-2*-1)**2)*6.\nAnswer: 558 + 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from yiyyiyyy?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {o: 9, k: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*r = 4, -4*d = -0*d + 3*r - 7. Let h = 4 - d. Sort h, 2, -4 in decreasing order.\nAnswer: 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/16 of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - d - 1. Let q(a) = -2*a**2 + 5*a + 6. Suppose -5*p - 25 = -4*w, 2*w = -46*p + 44*p + 8. Determine p*q(b) - 6*m(b).\nAnswer: -4*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fezfefzzzzzfe. Give prob of picking 3 z.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3832 divided by 186\nAnswer: 1916\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*f**2 + 25*f**3 - 95*f**2 + 39*f**2.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 17*m - 3. Let i = -65 + 79. List the prime factors of l(i).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*y**4 + 693*y**3 + 143065*y**2?\nAnswer: 1272*y + 4158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 23360*b**3 + 2*b**2 - 24*b + 104. Let a be j(14). Round a to the nearest 1000000.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and -243590?\nAnswer: 10474370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*v = 85, 4*v = -5*y - 176 + 13. Let g be (y\/2)\/(1\/(-2)). Let c = g - 26. What is the remainder when c is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 22 - 79 = -h, -305 = -5*h + 5*a. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q = -k - 65, -13 = -2*q + 16*k - 15*k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29337, 28644, 27951, 27258, 26565?\n\"Answer: -693*r + 30030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -436*s - 16566. What is l(-38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let j(b) be the second derivative of -1\/2*b**2 - b**3 + 0 - 5*b. Calculate -j(p) + 5*w(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5826 * -10.474\nAnswer: -61021.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1329987.6 to the nearest 10000.\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-1))\/(1\/(-6)). Let s = -3 + p. Let u(h) = -h**2 + 10*h - 16. Calculate the remainder when s is divided by u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apa when three letters picked without replacement from {q: 1, p: 2, a: 2, h: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.002.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2171166075.\nAnswer: 3, 5, 13, 23, 59, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 6*t - 5. Let m be f(7). Let w be 1\/m*0 - -2. Suppose -5*l + 38 = -0*l - w*o, l - 13 = -5*o. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/17 + 24*s**3\/17 - 38*s**2\/17 - 24*s\/17 + 40\/17 = 0 for s.\nAnswer: -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s + 101. Let r be a(9). Suppose r*z + q = 10, 6*z + 5*q - 26 = 2*z. Solve -5*v - 3*b = 24, -v + 2*b - 1 + z = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvxlvxvxxvxxxvxvxvxv. Give prob of picking 1 x and 1 l.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65655*d**3*f**3*q**2 - 2*d**3*f**3 + 263*d**3*f**2*q + 5*d**3*q**2 + d**2*q + f**2*q - 3*f**2 wrt f.\nAnswer: -393930*d**3*q**2 - 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 116*q + 166. What is w(-61)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 212*z**2. Let j(n) = -5841*n**2 - 17*n. What is j(q(w))?\nAnswer: -262517904*w**4 - 3604*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 - 3)*(4*z**5 - 6*z**5 + z**5).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -10. Let g = -957.5 - -957. Suppose -5*h + 25 = -3*u + 7, -3*u = -4*h + 15. Which is the nearest to 2\/9? (a) h (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 22. Suppose 0 = 9*f - 0*f + 4*f. Calculate v(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -127*d + 4. Let j(c) = 25*c - 1. What is -33*j(i) - 6*z(i)?\nAnswer: -63*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/3 + 2*z**2 - 7*z\/3 - 20 = 0 for z.\nAnswer: -5, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -71*v. Let d be c(1). Let b be (-40 + 39)*201\/(6\/2). Let k = b - d. Solve -2*g + 5*u = -6*g + 14, k*g + 4*u = 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3397 is divided by 77.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 - 1.75. Let s = 8.1 - h. Let o = -12 + s. Which is the biggest value? (a) o (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14517 by -9.\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -74?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-64)\/(-24))\/((-4)\/(-6)). Suppose k*g + 7 = -5. Let i(o) = -2*o + 1. Determine i(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385274 by -358.\nAnswer: -192637\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83307727\/5 <= 16661545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419184?\nAnswer: 2, 3, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 190571 + 319?\nAnswer: 190890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 189142777913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3044879 hours to seconds.\nAnswer: 1096.15644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -12. Suppose s - 6*s + 2*a = -l, -2 = -a. Let b = 3 + s. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 11\/3)\/((-4)\/(-624)). Suppose -132 = -8*a - z. What is the derivative of -a + 5*u**2 - 12 + 2 - 6*u**2 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -554, -534, -492, -416, -294, -114, 136?\n\"Answer: 2*g**3 - g**2 + 9*g - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*q + 157*q = -4*z + 4050, 4*z - 4*q = 4068. Let v be -3 - -6 - -42 - 3. What is the highest common factor of v and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 71. Solve -3*h = -4*a + g, 0 = 4*a - 4*h + 9 - 37 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -74*j - 4. Let y be i(-6). Suppose -3*q - 69 = -m, -3*q - q + y = 5*m. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (-3 + -1 + sqrt(1872)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3725 + 3724.9. Which is the third smallest value? (a) t (b) 0.0294 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kok when three letters picked without replacement from kkpokkppkopnko?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4*1\/(-39)*((-1442)\/(-824))\/((-56)\/288)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -36, -37, -20, 21, 92, 199, 348?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 - -115. Let r be 12\/3 + -1 + 6. Let f(u) = -u**3 + 9*u**2 + u - 6. Let q be f(r). Put b, q, -5 in ascending order.\nAnswer: -5, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - (-1)\/(-3)*0)\/(-1)*(-2742)\/(-2742)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0314247 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.45 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 2720 = -2756 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (243\/1485)\/((1\/(-15))\/((-7)\/63)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-7308)*7*300\/(-30)\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 5, 2\/15, 4.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**3 + 280*p**2 - 2560*p - 40960 = 0. Calculate p.\nAnswer: -8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-4 - (-2274)\/174)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 662 = -5*p - 137, 2*p - 213 = x. What is the second derivative of -4*l + p*l**2 - 2*l**3 - 109*l**2 wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48.6, 1\/57, -0.21 in decreasing order.\nAnswer: 1\/57, -0.21, -48.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 9:26 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5773 and 446529?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -154. Let t = -336 - q. What is t rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*m - 1. Suppose 3 = 4*u + 3*z, 4*u = m*u - z. What is the second smallest value in -1\/3, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*a, 0 = 2*y - 0*y - 8. Sort -4, a, -2 in increasing order.\nAnswer: a, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 151*t - 3293535 = 0. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22349447.7 to the nearest 10000.\nAnswer: -22350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = -6. Suppose -3*l - 26 = -x*f, 111 = 5*f + l + 3*l. Find the common denominator of 16\/7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -7, -13\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 17*r - 43. Calculate i(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2 (b) -0.19 (c) -0.5 (d) -7.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**18\/(g\/(g*g\/g**(-25))))\/(g*(g*(g\/(g**10*g))\/g)\/g*g*g)**11)**(1\/12) assuming g is positive.\nAnswer: g**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 18758.\nAnswer: 206338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -575 (c) 0 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 5 - (-8)\/(-8). Let q = 0.65 + 0.05. Let j = q + -0.4. What is the closest to -0.1 in 0.2, t, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = 0. Suppose -2*h + g - 6*g = 10, -h + g + 9 = t. Suppose -14*d + 4*d = -4*d. Solve -h = -x - d*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v + 8*v - 7*v)*(38 + 196*v + 11 - 186*v) to the form f*v**2 + k*v + m and give f.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, g: 1, s: 1, w: 5}. Give prob of sequence wsz.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*w + 321*w + 3 - 3 + 320*w + 2*w**3.\nAnswer: 2*w**3 + 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6759284 and 1249964.\nAnswer: 5924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - 36. Suppose -4*r + n = 2. Let y be 5\/(-4)*12\/(-30). What is the second biggest value in -3, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) 2\/13 (b) 0.2 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4174*w**4*y**3 - 401*w*y**3 - 6*y**3 - 12049*y**2 + 2*y - 2 wrt w?\nAnswer: -16696*w**3*y**3 - 401*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 2*r**2 - 2*r - 3. Let j(q) = -q**2 + q + 1. What is 2*j(d) + x(d)?\nAnswer: 2*d**3 - 4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0858 not equal to -5\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 7100 + 19658 = 0. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/4, -10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -43597.8512 to the nearest 10.\nAnswer: -43600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 5, 0.5, -2, -11 in ascending order.\nAnswer: -11, -2, -0.06, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -31, -1, -9\/5, 4 in descending order.\nAnswer: 4, 2, -1, -9\/5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:41 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -2 - 1*4. What is the units digit of 2*r\/32*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 divided by -37.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 114, 1.\nAnswer: 1, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-4))\/s)**(1\/72) assuming s is positive.\nAnswer: s**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (-13 + (-23 + 31 - (-20 + 5)))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/8729 and 2\/7?\nAnswer: 8729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 36 = 38. Let h(c) = -c**3 + 2*c**2 + 5*c - 5. Let j(r) = -r**3 + r - 1. What is o*h(q) - 5*j(q)?\nAnswer: 4*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5806930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/690)\/(((-33)\/582)\/11) and -38\/1035?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = 3*n + 427, -4*n - 2*g = 560. Let j be (-3)\/21 - n\/7. What is the greatest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 76. Which is the smallest value? (a) -2\/13 (b) -0.1 (c) q (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2064 = -2*p - 4*t, -p - 2*t + 1036 = 2*t. What is the smallest common multiple of 8 and p?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*f + 5 - 49. Suppose -5*q - 5 = 0, k - f*q = 41 - 8. Calculate the remainder when 76 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182 + -65. Let q = n - 117.0000114. What is q rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 1\/3*c**3 + 0 + 0*c**2 + 2\/5*c**6 + 204*c + 199\/12*c**4 + 0*c**5. What is the third derivative of a(i) wrt i?\nAnswer: 288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by 1026?\nAnswer: 37\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-84) - 89\/(-7). Suppose 0*k + k - n = 0. Suppose -5*p + k = -47. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/(1\/(-24)). Suppose -165*n - 2*q + 16 = -159*n, -5*n + 2*q + 17 = 0. What is the greatest common divisor of n and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950656131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2)*(-2*l + 3 - 3) + (-5*l + 5*l + l)*(2 + 0 - 1))*(3*l - 3*l - 4*l)*(4 - 10 - 3).\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63467.\nAnswer: 63467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-319) - (-58)\/(-841).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320, -385, -494, -647, -844?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9665085?\nAnswer: 3, 5, 59, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 4:13 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 + 0)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 less than or equal to -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/2 - -3 - 1. Let m = d - -4. Suppose m*f + f = 12. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171323 is divided by 15509?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from iplolvjv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 409043\/2? (a) 1\/12 (b) -0.5 (c) 2 (d) -5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -822908, -822330, -821366, -820016, -818280?\n\"Answer: 193*p**2 - p - 823100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 44408.\nAnswer: 5\/22204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 2*p**2 + 2*p. Let h be a(2). Let v = h + -9. Find c, given that -7*c**4 + c**4 + 9*c**5 + 6*c**2 - 5*c**v - 4*c**3 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3891 divided by -1427.\nAnswer: -3891\/1427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 13*d + 2. Let x be g(1). Suppose -2*m + 5*m - 3*r = x, -2 = -4*m - 2*r. Solve -2*o + 4 = -4*a + 22, -2*a + 6 = m*o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7246.397 tonnes to kilograms.\nAnswer: 7246397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpo when three letters picked without replacement from uoeolplpolpeorre?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 0 + 0*s**2 - 20*s + 1\/3*s**3. Let g(p) = 37*p. Give h(g(l)).\nAnswer: 74*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-12))\/(7\/333340*25). Is l at most as big as -475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12821867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbnmnbmnamm. Give prob of sequence pab.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1382)\/15 - 186979\/215745.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 4*m**2 - 6*m. Let y be j(-5). Suppose 5*h = -y*z + 45, 0*h - 6 = h - 2*z. What is the lowest common multiple of 8 and h*(-1 + (-7)\/(-2))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + sqrt(468) - (sqrt(13) + -2 + -3)) + ((sqrt(52)*1 + sqrt(52) - sqrt(52))*3 - sqrt(52))\/((-2*sqrt(324) - sqrt(324)) + sqrt(4)).\nAnswer: 5 + 64*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 1978869289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2 + 21*d - 424. Is 111 a factor of u(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26\/13 - 3\/(3\/(-10)) and 16\/20*(6 + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 462 and 1147617?\nAnswer: 176733018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -392a71c?\nAnswer: 392a718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73.8 - -66. Round z to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35245.48 times -0.9?\nAnswer: -31720.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/3 (b) 13 (c) 0.13 (d) -4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 23*v**7\/42 + 13*v**3\/6 + 28*v. What is the second derivative of w(q) wrt q?\nAnswer: 460*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -10\/3*b**2 - 8*b + 0 + 4\/9*b**3 + 2\/9*b**4 = 0.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 256 - 253. Suppose 0 = -w - 2*p + 5, -5*w + 2*p + 4 = -y*w. What is the highest common factor of 30 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.25 + 3.85. Let x = -3.62 + p. Is x less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b + 4*o - 36 = 0, -3*b - 54 = -2*o. Let g = b + 25. Suppose 3*r - 7 = -2*k, g*k - 24 = 2*k - r. Solve -x = 3*t + 1, t = -2*x + 3 - k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 20*q**2 - 31*q - 18. Calculate the remainder when 202 is divided by v(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223174697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003993528 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1140444 + 2021?\nAnswer: -1133423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i*j**3 + i + j**3 + 109*j**2 + 2*j wrt j.\nAnswer: -24*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) + (-43)\/(-204). Does -1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 78 = -9*b. Suppose 4*q - 3*m + m = 18, 5*q = -m + b. Suppose 23 = -4*o - n, -o - o - 25 = q*n. Let f(g) = g**2 + 5*g - 3. Calculate f(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52057629.\nAnswer: 3, 13, 444937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - -0.09. Let g be (-1)\/2 + 5\/70. What is the closest to u in -2, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/(36\/6*(-25)\/((-2700)\/(-1206))).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -396, -4 in decreasing order.\nAnswer: -1, -4, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + 0.5325157?\nAnswer: 0.4725157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**6\/280 + 5*v**2\/2 - 25. Let x(k) be the second derivative of i(k). Suppose x(c) = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*h = -2, -2*a + 313*h - 311*h = -2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33276\/(-19411)*49\/6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.175*-190506\nAnswer: -33338.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**4 - 3785325*m**3 + 1791090401102*m**2 - 4477706129820*m + 1791080937800 = 0.\nAnswer: 1\/2, 2, 946330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8515 and 110.\nAnswer: 187330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -741617 + 0?\nAnswer: -741617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -198*f - 2 + 15 - 199*f + 405*f. Give v(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21570.\nAnswer: 2, 3, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 12 - 13 = 0. Let a(x) = x**3 + 7*x**2 - x - 2. Let s be a(-7). Find f such that -3*f**4 - 4*f**s + 3*f**d + 3*f**5 + f**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111110010212220 - 201?\nAnswer: 111110010212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179193042 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133\/69 + 6\/23. What is the closest to -0.2 in -0.1, 2\/9, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 534. What is the remainder when y is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 11 = 3*l, 0 = 22*u - 19*u - l - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-7)*(39\/390)\/((-3)\/(-36)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17102.\nAnswer: 2, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53474787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/3)\/y*y*y\/y**(-1))\/(y**(1\/3)*y)**(2\/83))**(-33))**(2\/119) assuming y is positive.\nAnswer: y**(-12606\/9877)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/12 - 26071\/(-186) - 5. Calculate the highest common divisor of 20 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*j = 20, -5*q - 13*j = -8*j + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r + 6. Let c be h(-5). Let a = c + -21. Calculate the greatest common divisor of a and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 0.4, -2, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.003, -42, -2\/21?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1 + 0 + 1 - 2 + (1 + 3 - 3)*(0 + 0 + 1) + 3 - 6 + 2 + (-55 + 120 - 58)*(-22 - 44 + 24))*((-4 + 2 + 0)*(-h + h**2 + h) - 5 - h**2 + 5).\nAnswer: 882*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 110*c**3 - 9*c**2 - 823*c**3 + 715*c**3 + 380*c**2 to the form v*c**3 + s*c**2 + g*c + j and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1 - 1) + -1. Let d = 2\/401 + -2009\/802. Which is greater: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9522*x + 2510*x - 19321*x - 559*x.\nAnswer: -26892*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13562 + 18722. What is the highest common divisor of 420 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + (-1561)\/(-669)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 8*i - 6*i - 16, 0 = 4*s - 2*i + 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2 - 2*m - 4*m - 15 + 7*m. Let s be y(18). Let l be 40\/(-35)*(-14)\/4*s. Solve -5*t - 12 = -l*w - 4, 3*t - 8 = -4*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 3 = -8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 - -680. List the prime factors of g.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**4 + 2*a**3 - 328589*a + 5185959 with respect to a.\nAnswer: -12*a**3 + 6*a**2 - 328589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1466*t + 1452*t = -42 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -166975 + 2?\nAnswer: -166973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1423*d + 1179*d + 682*d**2 - 519*d**2 - 2696*d**2 wrt d?\nAnswer: -5066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 783 from 8616280578.\nAnswer: 8616279795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-91) + 2\/(-7). Suppose -3*c + 5 + 4 = -2*o, -4*o - 16 = -4*c. Is c less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20320?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 3*d**2 + 4*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 3:25 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 18*i + 65. Determine z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*t**2 + 3048613*d**3*t - 9*d**3 - 13*d**2*t**2 - 1256*d**2*t + 542*t**2 - t wrt d.\nAnswer: -12*t**2 + 18291678*t - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 11:16 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = o + o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247012\/7 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21877428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1917*r - 37201. Calculate w(20).\nAnswer: 1139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 14. Let r be 2\/p - (-435)\/12. Let o = r - 20. Calculate the least common multiple of o and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -2. Solve 0 = 5*c - 8 + a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/7 + 1896*j**2\/7 + 5674*j\/7 + 540 = 0. Calculate j.\nAnswer: -945, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 + 313. Let o = t - 119. Let k = o + 262. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181*n*z + 2*z + 449 wrt n.\nAnswer: 181*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140220 and 2622?\nAnswer: 3225060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1245*b - 271*b**2 - 1245*b - 172*b**2 to the form n + z*b**2 + v*b and give z.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.525025t to nanograms.\nAnswer: 5525025000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*h + 3*h + 6*h + 41*h + 5*h - 3*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.322 - 283288325314.\nAnswer: -283288325314.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*m = 2*m - 7, 38 = 4*o - 2*m. Solve 0 = 5*n - 2*z - o, 14 - 6 = 5*n - 3*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3\/2))**(3\/10)*(z*z**(-21))\/(z*z**10) assuming z is positive.\nAnswer: z**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-45) + 4\/(-18). Let r = -0.326 - 37.274. Let t = r + 38. What is the biggest value in -2\/3, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13022388.\nAnswer: 2, 3, 67, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620.3914 millilitres to litres.\nAnswer: 0.6203914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 116\/3*k**2 + 64\/3 - 160\/3*k + k**4 - 32\/3*k**3 = 0.\nAnswer: 2\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*9\/(-1440)*-8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3\/7 - 36*p**2 + 1008*p - 9408 = 0. What is p?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 380 = -5*i. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 2*r.\nAnswer: 2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2710*n - 119341 = -5159*n + 33647 + 59475 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2. Let h(t) be the second derivative of -1463*t**4\/6 - 2199*t. Give u(h(x)).\nAnswer: 17122952*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 1544*c - 63417. Give z(-40).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/3*-2 + -3 + 4. What is the second derivative of 38*j**w - 13*j**4 - 38*j**3 + 2*j wrt j?\nAnswer: -156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f + 39*f - 18 = 0. Let p be 9\/24*(-3 - (-3)\/f). Let w = 5.8 - 1.8. What is the closest to p in w, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/18)\/(12\/36)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2585, 5164, 7711, 10226?\n\"Answer: -16*q**2 + 2627*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 7*a**2 - 9*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -9*o - 171. Let b = 88 + o. Calculate the highest common factor of 155 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0290631 rounded to four dps?\nAnswer: -0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -3) + (10 - 7). Suppose -t*n + 6 = -0*n. Solve 2*m + 5 + n = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62930\/(-5684) - 1\/(-14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f = -16*f - 185 + 661 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*k + 4*h - h, -h = -5*k - 27. Let t(p) = -2*p**2 - 21*p - 9. Let y(z) = 3*z**2 + 31*z + 14. Let f(r) = 7*t(r) + 5*y(r). Determine f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 112. Suppose -95 = -5*g + 4*p, -4*g - 3*p = g - y. Let k = -14 + g. Which is greater: 10 or k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142.5 - -148. Let d = i - 5.500001225. What is d rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {l: 3, i: 5, o: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + -4 + sqrt(68)*-1 + 4)**2*-6 + -3.\nAnswer: -435 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) 1\/13 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 34 + 29*w + 49*w.\nAnswer: 78*w - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 40. Let b(l) = -6*l**2 - 210. Let n(r) = 4*b(r) + 21*g(r). Let x(q) be the first derivative of 1 - 1\/2*q**2 + 0*q. Determine n(x(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, -9, 1, -1 in descending order.\nAnswer: 18, 1, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + 10*w**2 + 4*w - 5. Let v(r) = -3*r**3 - 14*r**2 - 3*r + 5. Let y(x) = -3*v(x) - 4*z(x). Give y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -939, -1883, -2827, -3771, -4715?\n\"Answer: -944*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 9:58 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23973691, -23973688, -23973685, -23973682?\n\"Answer: 3*f - 23973694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -8 (c) 1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 + 4*f**2 - 7*f**2. Let n(y) = -23 + 8*y**2 + 23. Calculate i(n(s)).\nAnswer: 64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335, -2597, -8731, -20675, -40367?\nAnswer: -69745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7402512 and 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 231*l**2 - 2 - 12*l**4 + 52*l**4 + 2 + 100*l**3 - 151*l**2 + 5*l**5 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 151 and 0.07.\nAnswer: 151.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -166, 3\/2, -11.9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -2*(-5)\/(-5). Sort w, -3, 3 in descending order.\nAnswer: 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 10, 0*x - 5*z = 4*x + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 6*y - 2. Let b be p(-4). Let q be b + (-1 - 0 - -3). What is the common denominator of 2\/q*(-92)\/14 and -91\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 + 4 = 0. Let x = 25.5 + -26. Let t = 61\/5 + -12. Which is the nearest to 0? (a) s (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 4*d - 10. Let z be q(-6). Suppose -z*r = -g + 6, g + 10 = 2*g + 2*r. Solve -2*u - g = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2\/5 - 148*k\/5 + 292\/5 = 0?\nAnswer: 2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3, 4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69209434 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 6 = -4*b, -1163*b + 33 = -1166*b + 3*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p. Let t(a) = a - 4. Let k(o) = 85*o - 272. Let n(c) = k(c) - 68*t(c). Give n(j(h)).\nAnswer: -170*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44945055 by -9.\nAnswer: -4993895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.026, -6, -1?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -21802*r - 130829. Calculate s(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 0 + 10 + 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 80531, 164504, 248477, 332450, 416423, 500396?\n\"Answer: 83973*s - 3442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -18*h**2. Let t(b) = 2*b**2 - 3*b - 3. Let y(c) = 6*c**2 - 10*c - 10. Let q(a) = 10*t(a) - 3*y(a). What is -6*g(o) - 52*q(o)?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 4\/6 - (-13024)\/48?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -395\/2298 + 2\/383. Let p = -4.3 + 4. What is the second biggest value in m, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*z - 5*z = 330, -5*t + 314 = -z. Let p be t - (4 + -1*8). Calculate the greatest common factor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2817 - -2819. Which is the closest to i? (a) 0 (b) -0.4 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*f*o*u**2 - 43*f*u**2 + 421699*f*u - 186*o*u**2 + 5*o*u wrt u?\nAnswer: 160*f*o - 86*f - 372*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s. Suppose -7*p - 44 = -3*p. Let h(x) = x**3 + 11*x**2 + x + 14. Let z be h(p). Solve 2*k - z*k - 2 = s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 6*i**2 + 7*i - 9. Let m be s(-6). Let c = -47 - m. What is the derivative of c - 35*z**2 + 24*z**2 - 2 wrt z?\nAnswer: -22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 443 and 37067139?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -1. Round n to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 22, 22, 20, 16, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*c = -0*x - 118, 4*c - 36 = -2*x. Suppose 16*w - 15 = w. Calculate the remainder when (w\/(-2 - -3))\/(3\/387) is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1257194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - 3 + 2444*l**2 + 4*l**3 + 6*l**4 - 4889*l**2 + 2455*l**2 + 3*l in the form q*l**2 + m*l**4 + o*l + r + t*l**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-105) + (-1 - (-12)\/20).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 39 - 15 = 2*p - 4*p, 9 = 14*p + 135 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276770, 553522, 830322, 1107164, 1384042, 1660950, 1937882?\nAnswer: 2214832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083936674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.09 (b) -16.5 (c) -0.07 (d) 1\/3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2924 = -5*g + 4*x - 315, 2*g - 1041 = -x. Suppose 515 = d - g. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 4)\/(-1 - (-5 + 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 1070, 1828, 2928, 4484, 6610, 9420, 13028?\nAnswer: 17548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2540361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/4 (b) 0.1 (c) -0.3 (d) 0.045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/8 - 2286\/(-36). Let j = q - 336\/5. Suppose 0*y - 3*y = 9. Is y smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6429 and 175891?\nAnswer: 1130803239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -370.2, -1\/5, 0.07, -4, 0?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0.4, 1\/4, -24, -1\/5 in ascending order.\nAnswer: -24, -1\/5, 0.02, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - 210. Which is the second smallest value? (a) -0.2 (b) 3 (c) 0.2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dccb2 (base 14) to base 7.\nAnswer: -12055212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**2 - 73*v + 33. What are the prime factors of f(12)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14210 (base 7) to base 12\nAnswer: -22b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-one halves of a century?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.001 at most as big as 14.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 3, n: 3}. What is prob of sequence onjn?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*f + 4*j, 3*j = -2*j + 5. Sort -5, f, 5 in ascending order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -169*h**2. Let w(r) = r**2. Calculate w(z(n)).\nAnswer: 28561*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.9, 3, 1 in decreasing order.\nAnswer: 5.9, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -6. Suppose -5*a = s + 1, a + 2*s = -0*s - o. Let w(c) = a*c**2 + 0*c**2 + 2*c**2. Let z(k) = 2*k**2. Give z(w(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = l, -m - 4*l - l = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11269151 is divided by 18474?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + 1*sqrt(300))*1)\/(5*sqrt(144)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 14. Suppose -l*t + 5 = 12. Put -2, 1, -6, t in descending order.\nAnswer: 1, t, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3469, 2304, 1139, -26, -1191?\nAnswer: -2356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = 2*r, 6 = -r + 5*m - 2. Suppose r*a - a - 12690 = 0. Let b = 3125 - a. Round b to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 7:46 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(16\/24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13513 (base 8) to base 9.\nAnswer: -8155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -7*c + 4*c**2 + 1 - 7\/3*c**3 + 1\/4*c**4. Let a be r(6). Solve 10 = 3*j - a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32201 or 32322?\nAnswer: 32322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 - 5*b**2 + 3*b + 2. Suppose 0 = 3*v - 5*v - 8. Let c be h(v). Let u be 12\/c - (-132)\/34. Solve -5*y = -u - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 1, -4, 0.4, -2, 949 in decreasing order.\nAnswer: 949, 1, 0.4, 0.05, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.08 - -6. Let q = 153.92 - 154. Let p = t - q. Put -4\/7, 1\/4, p, 3 in ascending order.\nAnswer: -4\/7, p, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -5.03. Let u = -461\/9 - -51. Let s = -0.34 - -0.04. Which is the closest to 0? (a) u (b) s (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 plus -24552?\nAnswer: -24525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x - 5. Let d(f) = -13*f - 4. Let n(w) = -2*w**3 + 24*w**2 - 3. Let a be n(12). Let q(z) = a*t(z) + 4*d(z). What is q(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 386*k**3 + 2*k**2 - 2*k. Let q = -31 + 35. Suppose -5*y = 3*i + 2*i + 15, 3*i + 8 = -q*y. Is p(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*g + 124*g - 52*g = o + 2, 4*o - 5*o = -2*g + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 16 = 3*n. Suppose -3*c + 15 = -n*m - 5, 0 = 4*m + 2*c. Let g(i) = -35*i - 3. Let s be g(m). Round s to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 3, l: 13}. Give prob of sequence llf.\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8839465 decades to months.\nAnswer: 106.07358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + s = -1, -3*l - 2*s + 4*s = 0. Suppose -3*k - 7 = i, 4 = i - l*k - 4. Solve i = -u + x, u - 3*x + 8 = -4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 5) to base 6.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472537?\nAnswer: 13, 163, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 101*d + 1994. Give z(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 839 = -525. Let b = 1349 + z. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -15, -45, -93, -165, -267, -405?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/30 + 42*q**2. Let x(c) = -c + c - c - c + 0. Give x(r(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -3. Let r be (3\/b)\/((-2)\/4). Suppose 5*h - r*h = 162. Calculate the greatest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 187*s**2 + 2127*s. Let o(v) = -3*v**3 + 563*v**2 + 6381*v. Let t(u) = 17*k(u) - 6*o(u). Find the second derivative of t(f) wrt f.\nAnswer: 6*f - 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4025 (base 10) to base 15.\nAnswer: -12d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-81))\/((-156)\/(-117))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 12:38 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131140 is divided by 2474?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -214*h - 1101 + 4739 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6147909 is divided by 1639?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3790757 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 247\/4, -4, 11, 0.5?\nAnswer: 247\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + g - 1. Let i be o(-3). Let b = -8 - i. Suppose -b*d = -5*f + 85, -2*d = 3*f - 19 - 7. Calculate the remainder when 23 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {c: 3, i: 9}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171922591*m**2*o - 12546201*m*o + 4*m wrt m?\nAnswer: -343845182*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001094442662 rounded to seven dps?\nAnswer: 0.0001094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 11*x**2 + 7*x + 1. Let r be y(-10). Solve -r = -6*c - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3510 by -2.\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3065, 3065, 3059, 3041, 3005, 2945?\n\"Answer: -a**3 + 3*a**2 - 2*a + 3065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((8 + -22 - -9) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 1:05 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4378 and 3518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 21*n - 22*n + q, -5*n = -3*q - 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w - 54 = -62*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -38. Calculate the greatest common factor of b and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 241.9648 tonnes?\nAnswer: 241964800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from gnjjiiijbbpnnnj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -78118, -156233, -234394, -312625, -390950?\n\"Answer: -4*b**3 + b**2 - 78090*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-32)*(-6)\/(-14)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - -211?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*i + 50 = 207*i. What is the greatest common factor of i and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 7*i**2 - 7*i + 3. Let o be (-3)\/12 + (-66)\/(-8). Let p be y(o). Suppose 16*d - 30 = p*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.19.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 12 = -6. Let z(l) be the second derivative of 0 - 1\/48*l**4 - 1\/8*l**2 + 1\/12*l**j - 2*l. Factor z(g).\nAnswer: -(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7816754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:22 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = -0*y. Factor 6*w**3 - y*w + w**3 - 4*w**3 + 0*w.\nAnswer: 3*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/7 - 712*q**3\/7 + 2822*q**2\/7 - 2112*q\/7 = 0. Calculate q.\nAnswer: 0, 1, 3, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 7 (c) -37 (d) -1 (e) 0.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/8 + 33*x**2\/8 + 93*x\/8 + 63\/8.\nAnswer: 3*(x + 1)*(x + 3)*(x + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -104651 (base 7) in base 16?\nAnswer: -484d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -103*i - 5076. Let v = 60 + -33. Calculate the remainder when f(-50) is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -716 - -715. What is the nearest to 3 in -0.1, t, 1\/7, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 7. Suppose 3 = h + o. Let w = 6 + -8. Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -6)\/(2\/1). Suppose y*x = -5*x. Put -5, x, 5 in decreasing order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5, 4, -357, -3, -0.2?\nAnswer: -357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + o - 9 + 0 = 0, -5*o = -4*b + 9. Is 213 - (b\/2 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*7\/84*(-2)\/12.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:06 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + -1 - (-23 + 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1025 - -1046. Let x be 4\/6 + 122\/6. Does l = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*m**3 - 2)*(4 - 1 - 6) + 2*m - m**3 - 2*m + m**3 - 2*m**3 + 0*m**3 + (3*m**2 + 0*m**2 - 2*m**2)*(4*m + 0*m - 5*m).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 130.7*-0.4\nAnswer: -52.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2969326, -5938655, -8907984, -11877313, -14846642?\n\"Answer: -2969329*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 27*l - 79. Let f be o(3). Let m = -58 - -41. Let r = f - m. Calculate the least common multiple of r and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 8*m**2 + 11*m + 21. Let d be -1 + (3 + 1)\/(2\/(-4)). Let y be c(d). Suppose l = -y*l + 176. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 16*p - 16. Let a be w(-15). Let u be 23 + (0 - 0) + a\/(-1). Differentiate u*k**3 + 18 - 13*k**3 + 6*k**3 wrt k.\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.3. Sort -0.7, s, 4 in increasing order.\nAnswer: -0.7, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10577701.\nAnswer: 151, 70051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - sqrt(78)*3)*-2)\/(sqrt(6) - 4*sqrt(294)) - ((6*(sqrt(104) + -1*sqrt(104)))\/sqrt(512))**2.\nAnswer: -4*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(297)\/(sqrt(9)*1) + 2*sqrt(3993) + sqrt(33))\/(((sqrt(110) - 2*sqrt(110))*3 + sqrt(110))\/(-1*sqrt(10)*-3)).\nAnswer: -75*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21797, -20658, -19525, -18398, -17277, -16162?\nAnswer: -15053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - -27) + 19 + 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 3:21 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 7:32 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1325 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2323431 (base 10) in base 7?\nAnswer: -25514565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 2. Suppose -7*a = -5*a - 10. Let f = t + a. Put f, -5, 4 in ascending order.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 2.3. Let v = -199 - -193.83. Let p = -0.17 - v. Sort -0.5, q, p.\nAnswer: -0.5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.0382 rounded to 0 decimal places?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 3*g - 4*g)*(g - 3*g + g) + g**2 + 3*g**2 - 5*g**2 + 4*g + 4*g + 3*g + g**2 - 2*g**2 - 5*g**2 + g**2.\nAnswer: -4*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a milligram in micrograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 78130\nAnswer: -39065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**5*s + i**5 + 2*i**2 + 2807*s wrt i?\nAnswer: 180*i**2*s + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-792)\/(-1155)*45\/36?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + l - 1. Let v(c) = 7*c**2 + 7*c - 8. Let i(u) = v(u) - 6*x(u). Let z(k) = -k**3 - 11*k**2 - k - 9. Let p be z(-11). What is i(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -754, -1502, -2236, -2950, -3638?\nAnswer: -4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 0.2640557?\nAnswer: 4.2640557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3138921 is divided by 1826.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let f(r) = 0*r - 3 + 3 - q*r. Let h(a) = -a**2 - 3*a. Let d(t) = -t**2 - 4*t. Let u(p) = -3*d(p) + 4*h(p). Give u(f(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 6, f: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2\/5, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51215 - 530553?\nAnswer: -1022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:40 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*2\/(-10))\/(27\/135). Let q be (1\/l)\/(1 - 5\/6). What is the nearest to -0.1 in 0.3, 23, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 265530982 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y = -30094874 - 18309046 - 27814721. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 352.063 - 352. Let t = q - 27.063. Which is smaller: t or -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1148 and 133373.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1 - 2*w**2 + 4*w**2 - 3*w**2 + 6 + 8*w. Is f(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12212 - 0?\nAnswer: -12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -75*n + 711. Calculate the highest common divisor of n and 105.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(96) + sqrt(6)))\/(2*sqrt(9)\/sqrt(3)) + -3.\nAnswer: -5*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1806721840?\nAnswer: 2, 5, 7, 11, 37, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -62*t + 83*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s - 3. Let v(t) = 3*t - 1. Let n be v(1). Let x(o) = n*o + 2*o + 1 - 3. Let u(w) = 5*k(w) - 7*x(w). Give u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61, 0.5, -5\/2, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - q. Let g be c(1). What is the third derivative of 4*t**4 - 8*t**2 + 0*t**g + t**4 wrt t?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d - 1a43e7?\nAnswer: -1a4455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)*t)**(-1\/45) assuming t is positive.\nAnswer: t**(8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 + 118127*y.\nAnswer: -y*(y - 236254)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 4*b + 2*x - 26, -51 = b + 4*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*u - 194 = -68, -53*u = 2*o - 57*u - 28 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -72.636, 0.17 in decreasing order.\nAnswer: 0.17, -5, -72.636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 647 - 639. Solve 0 = -32*x + y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004202 (base 5) in base 3?\nAnswer: 1121121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (596 - 602) + (0 - (-5 - -48))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 417 = 5*b - 404, -25 = -4*j + 9*b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 16 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 6*o - 79, 367*o + 366*o = 734*o + 1. Suppose 4*t + 7 - 23 = 0. Solve 4*a + v + t*v + u = 0, 12 = -3*a - 3*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*n = 110*n - 6402 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 2362*m**3 + 26068*m**2 + 83030*m + 59325.\nAnswer: -(m - 2373)*(m + 1)*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -32. What is the remainder when 87 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.126 and -5.0167?\nAnswer: 5.1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxys. What is prob of sequence sx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -466 less than -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 1:46 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29089 divided by 19.\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*i + 3203 = 1092, 4*i = o - 2103. Suppose 20*p - 10159 = -o. List the prime factors of p.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*g - 0*g. Let t(r) = r**3 - 5*r**2 + 3*r + 5. Let n(v) = v**2 - v - 1. What is g*t(h) - 5*n(h)?\nAnswer: -h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s. Let l(y) be the first derivative of -2*y**3\/3 + 652*y + 8081. What is l(n(q))?\nAnswer: -18*q**2 + 652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (-1 + sqrt(7) + -5 - -2*sqrt(343))**2.\nAnswer: -180*sqrt(7) + 1610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(135)\/sqrt(500) - (sqrt(2700) + (sqrt(2700) - sqrt(2700)*4)))\/(4*sqrt(90)\/(sqrt(10) + (sqrt(20) + sqrt(40)\/sqrt(2))\/sqrt(2))).\nAnswer: 633*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 26 = -4*j, -j - 27 = -4*y + 2*j. Suppose 0 = 3*v - 65 + 71. Sort -6, v, y in decreasing order.\nAnswer: y, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2934650663+-0.2\nAnswer: 2934650662.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 19 = -39. Calculate the common denominator of (-4)\/(-2) - (w + (-744)\/304) and -91\/8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25930 = 5*i, -2*p - 3206 + 13576 = i. Does 96 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f = 28. Let n = f - 29. Let w be (n + (-22)\/(-10))\/(1\/30). What is the highest common factor of w and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c + 7786 = -14*c. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, p: 1, c: 1, f: 1, l: 2, j: 4}. What is prob of picking 1 j, 1 l, and 1 e?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + 9 + (-3 - (-4 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -69981, -139969, -209965, -279969, -349981?\n\"Answer: -4*p**2 - 69976*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 38. Put v, 2, 4 in ascending order.\nAnswer: v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 4*z**2 + 4*z + 7. Let j be d(5). Let w(m) = m + 2. Let v(o) = -6*o - 11. Let s(f) = j*v(f) + 11*w(f). Give s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - l - 15 = 0, 0 = 4*s - 5*s - 3*l - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2230309 - 0.3\nAnswer: 2230308.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-130 - 0) - (3297 - 3265).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjje when four letters picked without replacement from {j: 3, b: 3, e: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 73 + 47 = 0. Calculate the remainder when 90 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 396, 3, 1\/4, 5\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2365\/(-30))\/(-11))\/((8\/4)\/12)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*j**3 + 175*d*j**2 + d*j - 2666*d wrt j?\nAnswer: -18*d*j + 350*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43600?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * 6.77\nAnswer: 1.6925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1837704.\nAnswer: 1\/459426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 6}. Give prob of picking 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 37 = 3*r, -5*h + 2*r + 42 + 23 = 0. Put 3, -3, -1, h in descending order.\nAnswer: h, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5423 (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Factor s*w**2 - 4*w + 5*w - 4*w + w.\nAnswer: 2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4659*-4096\nAnswer: -19083264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(245)*-2*6 + (5*(-1 + sqrt(245)) - sqrt(245)) + ((sqrt(245) + 0)*5 - sqrt(245)))**2*-3 + -5.\nAnswer: 4032*sqrt(5) + 70843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*w - 1028, -3*w + 317 = -4*p - 1211. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*d - 14. Solve d*j - v = 2*v - 27, 23 = -j + 5*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-35)*-13*224\/64\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 188. Let b(x) = x - 191. What is -4*b(i) + 5*u(i)?\nAnswer: i - 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1450 and 154350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 16, k: 2}. What is prob of sequence vk?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 2*i + 6. Let j be (-1)\/2 - 15\/6. Let u be r(j). Suppose 4*o + u = 7*o. Calculate the lowest common multiple of 2 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 2*h**3 + h**3 + (3*h**3 - h**3 - 3*h**3)*(-2 + 2 - 2) + (2*h + 2*h**3 - 2*h)*(-1 + 4 - 1) - 4*h**3 + 4*h**3 + h**3 + h**3 - h + h.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.01 * 0.5.\nAnswer: 6.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -6. Let v be (-268)\/n + 4\/12. Suppose 0 = 7*w - 2*w - v. Solve -w = 3*q - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 + -118. Find the second derivative of s*f**2 - 36*f**2 - 16*f**2 - 45*f wrt f.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.4 - 3. Let i be 1\/(-2) + (-114)\/(-204). Let g = i + 65\/51. What is the second biggest value in 2\/23, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-3))\/(5425\/(-117180))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-74\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 0*p + 3*q = 0, 10 = -3*p - 2*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30, -4, 38, 96, 170, 260?\n\"Answer: 8*u**2 + 2*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 24. Let b(v) = -v**2 - 7*v + 19. Is b(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*j = -0*j - 34, 0 = 2*j + 4. Suppose 3*s + 13 = o. Calculate the remainder when 10 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n = -2977 - 3548. Suppose -44 = l - 2*l. What is the remainder when n is divided by l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 + 2 - 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.2858 - -136.3692. Let p = -0.345 - y. Let x = 141.00192 + p. Round x to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1417*z = -1457*z - 640 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + 231163*w - 231163*w - 41 + (3 - 2 + 1)*(w**4 + 3*w**3 - 3*w**3) + w**4 + 0*w**4 - 2*w**4 + 3 + w**4 - 3.\nAnswer: 4*w**4 - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17026 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 35 = -6*k + 11*k, 0 = -2*x - k + 15. Let d be ((-170)\/68)\/(x\/(-12)). Let s(n) = n + 1. Let u(l) = l + 4. What is d*s(z) - u(z)?\nAnswer: 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -956 at most as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 1, 108, 27, -2 in ascending order.\nAnswer: -8, -2, 1, 2, 27, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 7*g**2\/2 - 2*g + 2. Does 7 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 + (7 - 4 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 11. Let z be t(-7). Let m(k) = -2 - 64*k**2 + 129*k**2 - 63*k**2 - k - 4*k. Let b(v) = -v**2 + 4*v + 2. Give z*b(o) - 3*m(o).\nAnswer: -2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2125, -3, 1, 0 in descending order.\nAnswer: 2125, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-9)*-141 - -3. Let x = c - 73. Let y = 26 + x. Solve -5*q + 4*k = -2*q - 2, 0 = -y*k - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -118609, -237226, -355843, -474460?\n\"Answer: -118617*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.25 - -5.55. Which is the closest to -0.16? (a) i (b) 1 (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/((-45)\/(-36))*35?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 441\/122 + -129\/61. Sort 7.3, -0.18, j in decreasing order.\nAnswer: 7.3, j, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*v**2 + 25*v**2 - 260*v**2 - 31*v**2 - 145*v**2.\nAnswer: -576*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 93*h**4 + 1038*h**3 - 2253*h**2 - 390*h = 0.\nAnswer: -13, -5\/31, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.7951 millilitres in litres?\nAnswer: 0.2787951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 736\/4287 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -1\/9*o**3 + 1 - 1\/3*o**2 + o + 1\/30*o**5 + 1\/18*o**4. Let j(w) be the first derivative of f(w). Factor j(t).\nAnswer: 2*(t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 9 - 7 - -16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/3600 and -8\/2475.\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*f + 127*f - 58*f = -3086 + 116 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150224 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -267, -587, -1035?\nAnswer: -1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5615*w - 4652*w + 8627*w = -565810 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 50*t**2 + 125*t.\nAnswer: 5*t*(t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 2 - 4 + 2. Let b(k) be the first derivative of 0*k + 3 + 2\/3*k**3 + 0*k**2. Determine w(b(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y + 20*y - 21*y**3 + 3*y**2 - 7*y + 4*y - 8*y + 6. What is the smallest common multiple of 5 and a(-2)?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.107 - 13.\nAnswer: -12.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 7aca558?\nAnswer: 7aca554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - z**2 + 3*z - 1. Let o = -6 + 8. Let y be g(o). Suppose 5*t - 4*s + 4 = t, y = 3*s. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/8, -3 in decreasing order.\nAnswer: 3, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 14. Suppose -2*x = 5*j - g*x - 35, 35 = 5*j + 3*x. Calculate the remainder when 12 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 + -73. Let v = -1 + -1. Let g = v - -1.5. Put b, g, 2 in descending order.\nAnswer: 2, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2768*r**2 - r - 2. Is z(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 9*w**2 + 11*w + 11. Let b be 19\/114 - (-2666)\/(-12). Let o = b + 212. Determine y(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**5\/60 + 11*t**4\/24 - 7*t**3\/6 + 2*t**2 + 11*t. Calculate b(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 8 in ascending order.\nAnswer: 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-16)*2)\/(42\/(-168))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 48118 = -3*y - z, y + 5*z = -16032. What is the units digit of 6\/(-33) + y\/(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 922 - w - 8*w**2 - 922 as o*w + n*w**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 3:10 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f3d9 + -f1?\nAnswer: -f4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3\/((-6)\/(-2)) - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2256*c**2 - 53. Let x(n) = 4513*n**2 - 89. What is -5*m(q) + 3*x(q)?\nAnswer: 2259*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 10 - (-14)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**7\/630 + 13*j**6\/180 - 169*j**5\/180 - 4*j**2 + 18*j. Factor a(c).\nAnswer: -c**2*(c - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.2. Let a = 0.4 - 1.6. Let w = n + a. What is the closest to w in 0.2, 2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c - -24?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17.5? (a) -3 (b) -2 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101251877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.046 + 0.354. Sort -0.5, j, -32 in descending order.\nAnswer: j, -0.5, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10db + 420?\nAnswer: -abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176\/2289 - -2\/109. What is the second biggest value in -6, i, -3\/7, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 124 - 135 - (-44 - -1). Solve -30*u + q*u + 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 11 - 4)*(10*f + 7*f - f) - 1 - f + 1 + (1 - 2 + 3)*(3*f - f - 4*f) to o*f + v and give o.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 5, -4, -19 in descending order.\nAnswer: 5, 4, 3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69384*-0.2.\nAnswer: -13876.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + q**2 + 2*q - 7. Determine g(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 3*s**2 - 14. Let p be k(0). List the prime factors of (2 + p)*(-23)\/2 + 3.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4233, 4198, 4145, 4074, 3985, 3878?\n\"Answer: -9*f**2 - 8*f + 4250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591963 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 2*n. Suppose 3*z - 5*r - 4 = 0, 7 = -5*z - 2*r - 7. Let o(p) = -11*p - 1 - 16*p**2 + 1. Give z*o(y) - 11*d(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7399067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((6\/(-10))\/((-1)\/5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 3:55 AM?\nAnswer: 368","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 5863 - 2931 - 22*n**2 - 2932.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25\/36 + -4\/9. Let z = -863 + 1636. Let w = z + -769. Which is the third biggest value? (a) m (b) 3 (c) w (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 62, -4 in increasing order.\nAnswer: -4, -3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53689315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5 + 804*l**4 - 39996*l**3 - 40804*l**2.\nAnswer: -4*l**2*(l - 101)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17d72 (base 15) in base 4?\nAnswer: -102313202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 109.558 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6959, -27678, -62209, -110558, -172731, -248734, -338573, -442254?\n\"Answer: -r**3 - 6900*r**2 - 12*r - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173*j**3 + j**2 + 2013 wrt j.\nAnswer: -519*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 - 69963*v**2 - 139917*v - 69957 = 0. What is v?\nAnswer: -23319, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.15 and 3645729.\nAnswer: 3645728.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 42 = -15. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/11337105 and 51\/1511614.\nAnswer: 22674210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44302317 to the nearest integer?\nAnswer: 6656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965 a factor of 311727600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 275\/12 - 89\/4. Is -246 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -119*l**2 - 4*l - 4. Let j(v) = -178*v**2 - 135*v + 402*v - 141*v - 132*v - 6. What is 5*j(n) - 7*m(n)?\nAnswer: -57*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21234 times 0.09\nAnswer: 1911.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((6 - 5) + -1)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {w: 6, r: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 370193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -181*x + 1970. What is the tens digit of z(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -343082, -343083, -343084, -343085, -343086?\n\"Answer: -i - 343081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43.6 and 9.87?\nAnswer: -430.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 3*t**3 - 9*t + 8*t)*(0 - 2 + 0).\nAnswer: -12*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2003102220 (base 4) in base 9?\nAnswer: -1008610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -1, -3, 4905?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*t + 60 = 0, -2*f + 4*t + 40 = -t. Suppose 0*w - f = -w. 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: What is 398 minutes before 7:19 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2278.96742 + -0.03258. Let r = -2279.01039 - v. What is r rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 34 = 20*x - 351. Let v(h) = h**3 - 2*h**2 - 2*h - 3. Let c be v(3). Solve c = 7*y - x*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6327668671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1645 = q, 13*o = -q + 14*o + 1636. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 760 and 3204?\nAnswer: 608760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -2) + 1 + -3 + -1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -17, -29?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-9))\/((-4)\/(-6)). Let l(b) = 3*b**2 + 2*b + 9. What is the units digit of l(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/187632 and -17\/218904?\nAnswer: 1313424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85\/372 + -2\/93. Let p = -0.6 + 1.1. Let k = p + 0.5. Which is the closest to k? (a) h (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -4*w**3\/3 - 5*w**2\/2 - 4*w. Let f(b) = 7*b + 4. Determine 6*f(l) + 5*q(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 924 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2765 * -0.34689.\nAnswer: 959.15085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 50\/3*w**3 + 50*w - 2*w**4 - 12 - 142\/3*w**2 = 0. Calculate w.\nAnswer: 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 + 137 + 19*r in the form a + c*r and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3300340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 5:44 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87480 divided by 43740.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12591 is divided by 106.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25233 by 6.\nAnswer: -8411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8.8 + -105504\nAnswer: -105512.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 800?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 53 (b) -5 (c) 0.108 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*o + 12 = 2*r, -4 = -o. Suppose -r*x + 3*x = -3*l + 3, -5*x + 4*l = 4. Suppose 4*n - i - 937 = x, -5*i - 21 = 4. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241\/9 - 27. Let x = 0.054 - 0.054. Which is the nearest to l? (a) -0.4 (b) x (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100 (base 2) in base 6?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (605797\/138)\/(4\/24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4150 divided by 83?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**6\/15 - 2*u**2 - 6*u. What is the derivative of q(d) wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 12*m**2 + 15*m - 14. Calculate w(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11*q - 42. Let j(d) = -9*d - 35. Let v(x) = 6*j(x) - 5*t(x). Let i(g) = 18*g**2 - 22*g**2 - 271*g**2. Determine i(v(p)).\nAnswer: -275*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -5726 in increasing order.\nAnswer: -5726, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 5965.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/5, 27, -159641 in descending order.\nAnswer: 27, 2, 1\/5, -159641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/303329 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -672247 (base 12) to base 13.\nAnswer: -456484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*g + 0*g = -475, 2*z - 206 = 4*g. Let x = -61 + z. Calculate the greatest common factor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-75)*25\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 227925*k. Let p(s) = 28*s. Calculate p(l(m)).\nAnswer: 6381900*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1646.3.\nAnswer: 329.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 - 54. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 + 2*j + 1. Let g be p(-1). Suppose -5*c + 603 = g*c. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 41*f**2 + 14*f + 21. Let a(g) = 15*g**2 + 5*g + 8. Let w(n) = -8*a(n) + 3*x(n). Determine w(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3099029715 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/214650 and 11\/405.\nAnswer: 214650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 459620 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from vzvivivvvlvvivhvvvvz?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**7\/1050 - s**6\/120 + 3*s**5\/100 - 7*s**4\/120 + s**3\/15 - 20*s**2 - 2. Find f, given that m(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/27 and -55\/6997653.\nAnswer: 20992959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/9, -3\/59, -3\/4, -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aii when three letters picked without replacement from {u: 4, a: 1, q: 1, i: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 15 - (-4 - -12 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) -0.5 (c) -87\/46 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and 0.17.\nAnswer: 5.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -15*z - 25. Let o be g(-7). Suppose -11*x + o = -3*x. What is the third derivative of x*c**2 - 75 + 38 + 24*c**3 + 37 wrt c?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6541248 by 545104.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -9974759890.79.\nAnswer: -9974759890.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671197027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -72*l + 1359. Determine g(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25ac - -45?\nAnswer: -2567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372 - 141 - 116 - 115 + 186*p**2 - 173*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617889 + 7*j + 617889.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8326*d*n - 3*d + 240 wrt n.\nAnswer: -8326*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10001 (base 6) to base 3\nAnswer: 1210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23838 + -428417.\nAnswer: -452255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 14\/4915?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 263.1116 milligrams?\nAnswer: 0.0002631116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241036286 - 2.\nAnswer: -241036288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7*d**3 - 12*d - 45\/7 + 3\/7*d**4 - 30\/7*d**2.\nAnswer: 3*(d - 3)*(d + 1)**2*(d + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 + -59. Suppose 3*v - 4*k - y = -6*k, 0 = -3*v + 2*k + 79. Suppose -d + 48 = -37. What is the remainder when d is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (327\/(-981))\/((-1)\/(9*-2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47, -203, -463, -827, -1295?\n\"Answer: -52*u**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/10*(-25)\/10. Suppose -k + 5*k = i. What is the remainder when 2 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3728597 = -212*f + 4435311. Is f a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.41 + 0.41011. Round g to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 54 + 54. Let i(m) be the first derivative of -m**5\/30 - 2*m**2 + 1. Let z(g) be the second derivative of i(g). Give o(z(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -10.66. What is t rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f = -22*f + 3*q - 29, -5*f - 26 = -2*q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y + 27*y = 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*i + 50 = 52*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 88240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23601 or -23850?\nAnswer: -23601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**3 + g**2 + 77*g + 473. What is r(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {z: 1, l: 3, c: 4, d: 1, e: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -3 - (146 + -152) - 50\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 188376 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(85) - sqrt(85))*-6 - (sqrt(85) + (sqrt(85) - -5*(sqrt(85)*-2 + sqrt(85)))))\/(sqrt(5)*1*-2 - (sqrt(500) + 1*sqrt(500) - sqrt(5))).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -507726, -1015455, -1523184?\nAnswer: -2030913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -624199\/42 + 14861. Calculate the common denominator of y and 155\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from lllllllllfffllllll?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2356 - -124?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71791826?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47540 - 20518. Is 116\/(-522) + p\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 2*j - 2*j**3 + j**2 + 4*j**3 - 1. Let p be 4 + (-1*1)\/((-17)\/(-34)). Calculate d(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208 divided by 52\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*z + 110*z - 430*z + 219*z.\nAnswer: -611*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191590?\nAnswer: 2, 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:45 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**3\/3 - 37*u. Let m(o) = -o**2 + 19. Calculate n(m(q)).\nAnswer: -2*q**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 1, 0.2, -7, -2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2720904299.\nAnswer: 2720904299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*i**3 - 6*i**3 + 7*i**3)*(4*i - 14*i + i) as w*i + c*i**3 + q*i**2 + g*i**4 + b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 32 = -r, 2*f = -4*r + 16 + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64138 and 22?\nAnswer: 705518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 + 3*d**2 + 2*d + 2. List the prime factors of q(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616431428 to the power of 1\/2, to the nearest integer?\nAnswer: 40205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23296 + 23294. Which is the nearest to -331\/2? (a) 2\/11 (b) f (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 21. What are the prime factors of (15\/k)\/(2\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42064 - -42063.962862. What is n rounded to three decimal places?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2 - g + 2. Let l(m) be the second derivative of m**4\/6 - 16*m**2 + 6237*m - 2. Calculate r(l(p)).\nAnswer: -2*p**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 6 = 11*v - 3*i, -2*v - i = 8. Is 26 a factor of 3115\/20 + v\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(363)*-1)**2.\nAnswer: 88*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*f**6 - f**4*v**3 - f**2*v - 2*f*v**3 wrt f.\nAnswer: 12600*f**3 - 24*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (36\/15)\/((112\/35)\/8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 82 (c) -131 (d) -0.5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11036*b**2*r**3 + 19*b**2*r + b**2 - 5*b*r - 83*b - 2380*r**4 + 59*r wrt r.\nAnswer: 66216*b**2*r - 28560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(76)\/(sqrt(44)\/sqrt(176)) - sqrt(228)\/(-2*sqrt(1452))).\nAnswer: -2 + 89*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -435.\nAnswer: -217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -143. Let z = -142 + u. Let f = 0 + -2. What is the closest to f in -1\/5, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10308511 (base 9) to base 8.\nAnswer: 22743733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 16 = -2*c. Calculate the greatest common divisor of c and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 200 = 140. What is the tens digit of (252\/j)\/(20\/(-50))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194000807 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose t + 0*t = g. Solve t*s - 8 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 2\/9 (c) -0.055 (d) 1\/42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + w = 6*w + 33, 0 = -g - 3*w - 13. Suppose -5*y = 5*p - 30, 3*y - 30 = -5*p - g. List the prime factors of -1*-1*11*y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 483221888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -5\/46, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(858\/(-195))*(-168)\/((-28)\/(-7)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2 + 1. Let z(n) = 21*n**2 + 5*n + 10. Let f(m) = -6*l(m) + z(m). Suppose 7*j + 4 = 3*j. List the prime factors of f(j).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -937\/547 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8*w - 12. Suppose -4*t + 8 = 5*p - 17, 10 = t + 5*p. Solve -2*j + 32 = t*b + 4, -12 = -w*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8178)\/3)\/47*2\/(-4)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(171) + 2*sqrt(171) - sqrt(171))*2 + sqrt(171))**2 + sqrt(171) + (-1 + sqrt(171))*1 - (3 + ((1*sqrt(171)*5)**2 - sqrt(171)))) + -5.\nAnswer: -12 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1514683 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 8. Let b be y(-9). Let l = 12 + b. Suppose -4*o + 30 = 3*r, 31 = l*r - 2*o + 11. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i - 55. Give k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2709 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 6 = -q + 8, 5*s = -3*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1170399, -2340797, -3511195, -4681593, -5851991, -7022389?\nAnswer: -8192787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8537449058?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 6*f - 11700. Let d = f + -468. Solve d*c = -3*j - 4*c - 14, -10 = 4*j + c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:48 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 - 4339139*j - 2169569 = 0. What is j?\nAnswer: -2169569, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 9*m**2 - 5*m + 15. Let n be 2\/2 + -8 + 17. What is the units digit of z(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 44, 159, 374, 713, 1200?\n\"Answer: 4*m**3 + 14*m**2 - 31*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 5. Let v = -206 - -206. What is k(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501597967 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2. Let s(h) = -38*h**2. Calculate p(s(m)).\nAnswer: -8664*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554213?\nAnswer: 11, 50383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -767566*i**5 + 251*i**4 + 44317*i - 128.\nAnswer: -15351320*i**3 + 3012*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -72*b**3 - 3*b**2 - 2*b - 1. Does 11 divide l(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 463053706 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26000 * -568.\nAnswer: 14768000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-39)*12\/196*8\/((-120)\/21)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 32*g - 44. Give b(9).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 847194.56 * 0.05.\nAnswer: 42359.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*x = 5, -z - 2*z + 5 = 2*x. Suppose 0 = 2*r - z*u - 411, r + 2*u - 152 - 76 = 0. Let l = 128 - r. What is l rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97631*b**5 + 76*b**2 - 599?\nAnswer: 5857860*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -128*s + 6020. Let b be a(47). Find t, given that 12\/11*t**3 - 28\/11*t**2 + 2\/11*t**b - 6\/11 + 2*t - 2\/11*t**5 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s - 6. Let y(r) = -11*r - 5. Let m(c) = -5*t(c) + 6*y(c). Let j(q) = -1 - q + 1 + 2 - 2. Calculate m(j(u)).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98900238?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*n + 2022*n - 61037 + 9292 = 212370 for n.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 1. Let q = -7773 + 7767. Let g(a) = -25*a**2 - 6. What is q*o(y) + g(y)?\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 58*f**2 - 1095*f + 4370. Give z(4).\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -37*d**4\/24 + 205*d**3\/6 - d**2 + 5. Let u be s(5). What is the greatest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4*v - 22748, 102*c - 97*c + 4*v - 28453 = 0. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -140419, -139416, -138413, -137410, -136407, -135404?\n\"Answer: 1003*z - 141422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*y = 16, -2*s + 4 - 12 = 4*y. Let v(g) be the second derivative of -g**3 + 2*g**2 - 7*g. Calculate the remainder when v(s) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s**3 - 481 + 244 + 27*s**2 + 238.\nAnswer: 40*s**3 + 27*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19455735 by 17607.\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2093?\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 3131?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h**5 + 10*h**4 - 17*h**3 + 639*h - 571 wrt h.\nAnswer: 180*h**3 + 120*h**2 - 102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4298608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -279*m + 274*m. Suppose 2*v + 10 = -6. Let g = v + 12. Solve -m = g*o - 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4\/9 - 32*w**3\/9 + 46*w**2\/9 + 680*w\/9 + 200\/3 = 0.\nAnswer: -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - -2?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -159280*n + 1114959. What is t(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/10)\/(5\/925) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 903, 907, 913, 921, 931, 943?\n\"Answer: b**2 + b + 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23951439 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -93647, 3, 5, -120 in ascending order.\nAnswer: -93647, -120, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 - 3*k + 3. Let g(q) = -3 + 2*q + q**2 - 6*q**2 - 5 + 6. Let a be (-2)\/3 - 16\/(-6). Give a*l(w) + 3*g(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-3\/5)))**(-2\/107)\/(k*k**(3\/4)\/k*k)**33 assuming k is positive.\nAnswer: k**(-123561\/2140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:24 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 20. Let a = w + -27. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + 0*u + 4*u)*(33*u + 6 - 6)*(0*u - u + 0*u).\nAnswer: 99*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from qmqmmmqmmqmmmqmm.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -0.5 (c) -0.37 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(-73 + 52 + 34)*(-2 - l**3 + 2) + l**3 + 0*l**3 + 0*l**3 in the form t*l**2 + u + p*l**3 + y*l and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87*256\/3712*(-5)\/(-6))\/((-34)\/(-6)).\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 902179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r)**(-12)*(r**(-5\/3)\/r)\/(r\/r**(-6)) assuming r is positive.\nAnswer: r**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0487 + 2.0487. Which is the closest to -1? (a) -5 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 greater than 46191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/14*(-7)\/2. Let t = -185 + 188. Factor 3\/2*p**t + d + 12*p + 15\/2*p**2.\nAnswer: 3*(p + 1)*(p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -1\/3 (b) 1 (c) -332 (d) -4\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -150?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:13 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -589693, -1179389, -1769085, -2358781, -2948477?\n\"Answer: -589696*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5*x = -2*x - 5, -5*n + 5*x = -5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43970.54 - -50017.159. Let y = 6068.618964 - q. Let f = y + -22. What is f rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*v - 10*v - 18*v - 18*v - 7*v - 17*v.\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/15, 0.19, 24, -0.3 in ascending order.\nAnswer: -0.3, -2\/15, 0.19, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128874146 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-30)\/6))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52, -52, -64, -94, -148, -232?\n\"Answer: -j**3 + 7*j - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720*r + 692*r = -140. Which is the biggest value? (a) 2\/17 (b) 1\/6 (c) 1061 (d) r (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (13 + (-10 - -7) - -1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**49\/(k**(-2\/11)*k**(-1\/4)) assuming k is positive.\nAnswer: k**(-597\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27729 and 71227.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) - 164\/14. Let g be o\/5*35\/(-14). Solve 3*a = -9, 4*a + g = 2*u - 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/126582 and -127\/6682836.\nAnswer: 487847028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11200?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2942883265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14420488 (base 9) to base 6\nAnswer: 413232555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040) + -2*sqrt(5040))\/((sqrt(7)*1 + sqrt(7))*-4).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 492, 627, 800, 1011, 1260?\n\"Answer: 19*w**2 + 78*w + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-27)\/(w\/w**(11\/5)))**(11\/3) assuming w is positive.\nAnswer: w**(-473\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027069 rounded to 6 decimal places?\nAnswer: -0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3754*m - 11114. Calculate v(3).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/(6*27\/24). What is the smallest value in -608, 2\/3, j?\nAnswer: -608","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 190, 372, 568, 784, 1026, 1300?\n\"Answer: j**3 + j**2 + 172*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14587 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - 11 - (1231 - 1259).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 24. Let l be (-4)\/(b\/(105\/(-14))). Solve -4*h + 2*v = l, 11 - 26 = 3*h - 4*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 1, i: 1}. Give prob of sequence qki.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(40\/15)*(-4)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 436800913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32238 + -161187\/5. What is v in -r*v**4 + 3\/5*v**5 + 0 + 3\/5*v**2 + 0*v - 3\/5*v**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*h**2 + 128\/3*h - 44 = 0 for h.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48206 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10381 + -10063. What is the remainder when y is divided by 175?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -744692*g**2*w**3 + 18*g**2*w - 3*g*w**2 + 3677 wrt w.\nAnswer: -4468152*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d + n - 9, -3*n = 5*d - 26. Let j = 13 + 171. Calculate the greatest common factor of d and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 15*w**2 - 3*w + 48. Let a = -405 - -420. Let v be t(a). Solve -9 = 4*u + q, -2*u - 2*u + v*q - 21 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.22 or 32?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1128?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33022 by -869.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13244 - -313?\nAnswer: -12531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bog when three letters picked without replacement from {o: 1, b: 1, h: 1, g: 1, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 6, x: 4, d: 7}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 23*j**2 + 8*j**2 + 0*j**2 + 1. Let p = 24 + -22. What is the tens digit of i(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61 + 22640420?\nAnswer: 22640511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(11)*1 - -4*(sqrt(11) + -1).\nAnswer: -4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 281 - 273. Solve 2*j = 2*w - t + 20, -3*j = -9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7076 + -626?\nAnswer: 6250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 191 + -185. Solve w = 5*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.80891 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118364611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142 by 250.\nAnswer: 71\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-22) + 46992\/23232.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v - 2. Let x be z(1). Let y(q) = 2*q + 7*q + x*q**2 - 3*q**2 - q. What is the tens digit of y(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {w: 1, n: 1, l: 5, f: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.4 (c) -5 (d) 446 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -362 - (-4 + 9 + -7) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117 + 8*i**2 - 66*i**2 + 18*i**2 + 31*i**2 - i**3 + 3*i**3 to n*i**2 + u + c*i**3 + b*i and give u.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 17*c + 93. What is the remainder when k(19) is divided by 87?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = 6*i + 471. Let v be (-18)\/1*i\/105. What is the highest common factor of 60 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j\/(j*j**8\/j))\/j))\/j)\/j**(-2\/11))\/(((j*j**(-1\/5)*j)\/j*j)\/j**(1\/2)) assuming j is positive.\nAnswer: j**(757\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18 - (-8)\/((-768)\/40)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 11:06 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -122495 less than -122475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**4 - 6*f**4 - 19*f**4)*(10 - 10 - 6*f).\nAnswer: 198*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-80)\/(-75))\/((-7)\/(-10)). Let r be ((-24)\/28)\/(6\/(-14)). Factor -v*q**r - 50\/21 + 80\/21*q.\nAnswer: -2*(4*q - 5)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 2*l + 0*l)*(-234 + 234 - 80*l)*(-1 + 2 + 2 + 1 + 3 - 3 + (2 - 1 - 3)*(4 - 5 - 1) - 2 + 2 - 2 + 1 - 4 + 2).\nAnswer: 1200*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + 194?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:25 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-390)\/650)\/(3\/(-2) - (-12 + (-41019)\/(-3905)))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from ddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1557*u - 5014 + 81307 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + o**2 - o - 23. Let j(c) = c**3 - c - 11. Let i(g) = 9*j(g) - 4*w(g). Let m = 11 + -1. Let s be (2\/3)\/(m\/75). Give i(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9382411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56297570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 4*l + 2*l)*(-305*l + 53*l - 519*l)*(-31*l**2 + 31*l**2 - 5*l**3).\nAnswer: 3855*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3*(0\/2 + -15). Suppose 4*o + 3*v = -2*v + 17, -p*v + 25 = 5*o. What is the first derivative of -3*n + 5 - 5*n + 41*n**3 + o*n wrt n?\nAnswer: 123*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 776 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -4 + 2 + (4 + -2 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 426 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2207 + 2207.68. Which is the closest to -1? (a) x (b) 0.4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (10 + (-32 - -43))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 759 and 4968?\nAnswer: 54648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -18*i + 70. Let w be v(4). Which is the closest to 1? (a) 2 (b) w (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6770 - 6770 - 5*p**2)*(1 - 1 + p) - p**2 + p**2 - 4*p**3 in the form r*p**2 + k*p**3 + b*p + c and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300 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: What is 27564139 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, i: 3, m: 1, u: 2, a: 5}. What is prob of sequence mia?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 11 = -5*z + 7, 9 = 2*z + 3*x. Let r = 13 + z. Suppose 0 = -3*y + r + 11. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 58 + 185 = 0. Sort 1, -7, 0, g.\nAnswer: -7, 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5704*l*m*u**2 + 9*l*m*u - 21647*l*m + 103*l - 74*m*u**2 + 2 with respect to u.\nAnswer: -11408*l*m*u + 9*l*m - 148*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (17 - 7) - 16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a + 132. Let j be k(18). Let z be 6 + (j\/(-4))\/(54\/72). Let g(n) = n**2 - 5*n + 6. Determine g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 312*k + 343*k**5 - 9017*k**4 - 4933*k**4 + 1295*k**4 - 2708*k**4 + 11550*k**3 + 1692*k**4 - 3284*k**2.\nAnswer: k*(k - 39)*(7*k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2928 * -0.5.\nAnswer: 0.1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(300) - (sqrt(300) + -3 + sqrt(300)))*3)**2.\nAnswer: -8640*sqrt(3) + 44496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 2, -0.1, 0.2, 18 in decreasing order.\nAnswer: 18, 2, 0.2, -0.08, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2*z - 2120 = 0. Let g = z + 395. Let d = 16 + g. What are the prime factors of d?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 5*v**2 - 9*v + 2. Let b = -3 + 9. Let r be y(b). Let s = 34 + r. 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: Round -0.0000024281 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b - b - 2*b + 5*b + 0*b - 3*b + (-1 + 3 - 5)*(b + 0*b - 6*b).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -39*q - 154. Let i be h(-4). Solve 8*a - i = 9*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:54 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 - (-11 + 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (2 + -1)*-22)*58002\/16572\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26564 is divided by 6454.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5900 + -23601\/4. Which is the nearest to 54\/11? (a) 0.1 (b) 3\/7 (c) v (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*((sqrt(120)\/sqrt(4))\/sqrt(3))\/(sqrt(200) - sqrt(200)*1 - sqrt(2)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/37872 and -149\/1551600.\nAnswer: 408070800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 45 = -8*q. Calculate the remainder when 14 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.6 - 22. Let n = 0 - 1. Suppose -5*m = -4*m - 1. What is the nearest to m in 3\/8, j, n?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f + 5*f**3 - 7*f + (1 - 2*f - 1)*(0 - f**2 + 0) + (4 + 0 - 2)*(f**3 + 3*f**3 - 2*f**3) + (6*f**3 - 3*f**3 - f**3)*(-1 + 3 + 0).\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(2) + (sqrt(32) - sqrt(2)))*-3 + 0)*5)**2.\nAnswer: -360*sqrt(2) + 7209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 25 = 3*p - 7*n, 4*p - 10 = 2*n. Let y = p - 0. Suppose 5*o + 5*i + 1875 = y, -3*i + 395 = 3*o - 4*o. Round o to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 54 + 54. Let b be 63\/12 + 2\/(-8). Let z(n) = 2*n + 4*n - b*n. What is z(h(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 + 3*c - 87. Let b(p) = 2*p**2 - 2*p + 45. Determine 7*b(r) + 4*h(r).\nAnswer: -2*r**2 - 2*r - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-14)\/p**(-7) assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 216.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9869 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 - 11 = -f, -24 = -3*o - 5*f. Let i(c) = -c**2 - 3*c + 94. What is the lowest common multiple of o and i(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-1800) + 127\/25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.646298 minutes in seconds?\nAnswer: 458.77788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -640*n**5*y + 7*n**4 - 2*n - 11*y + 41 wrt n.\nAnswer: -12800*n**3*y + 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 7*a + 4. Let f be i(-7). Suppose 5*q - 16 + 2 = 3*g, -q + f = 0. What is the lowest common multiple of g and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -1689, 1, -4, 2\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1507 and -13\/1233?\nAnswer: 13563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -2, 0, 10\/31, 649?\nAnswer: 10\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(-3)))\/(z\/(z*z**(-5))) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-14))\/((-2620)\/9170)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3901*t. Let d(c) = c. Calculate b(d(g)).\nAnswer: 3901*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 4. Let x be h(6). Let j be 2*x\/60*15\/(-4). Solve -4 = -2*l - t - 0, 4 = j*l + 4*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1302 divided by -6.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33299 is divided by 16647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -764*j**3 + 1126*j**4 - 12*j - 383*j**4 + 125*j**2 - 365*j**4 - 374*j**4 wrt j?\nAnswer: 96*j - 4584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 4. Let n be x(4). Suppose j - 188 = -n*z, -j - 2*j + 550 = 5*z. Suppose 0 = 4*m - m - j. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 444 = -3*f + 19*w, -5*f = -4*w + 740. Let p(x) = -3*x**3 + x**2 + x + 4. Let d be p(3). Let u = d - f. Is u a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20\/723 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*i*p**2*z - 71*a*i*z**3 + a*i*z - 73*a*p**3*z + 3*a*p*z**3 + 13*i*p**3*z**3 + i*p**3 - 4*p*z**2 wrt z?\nAnswer: -426*a*i + 18*a*p + 78*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 49 + 114*b)*(1 + 5 + 3).\nAnswer: 1026*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(10\/3)))\/o**(-2\/29)*o*o\/o**34*o*o*(o**17*o)\/o assuming o is positive.\nAnswer: o**(-1415\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56162 and 0.5.\nAnswer: 28081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 26*b + 23. What is the hundreds digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59*d**2\/2 - 9*d.\nAnswer: -d*(59*d + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*((-6)\/(-6) - -1). Let t be ((c\/(-8))\/1)\/((-16)\/(-128)). Solve 0 = -x - o + 3 - 1, -t*x + 5*o = 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 322.3 + -322.6. Which is the nearest to -1? (a) q (b) -2 (c) 2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2 + 11 = b, z + 2 = -4*b. Let h be (b + 2)*(9 - -38). Suppose -q - 3*t + 15 = 1, 3*q + 4*t - h = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -10*n**2 + n - 1. Give h(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -14*g**6\/3 - g**3\/3 + 16. Find the third derivative of t(c) wrt c.\nAnswer: -1680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 2*o**2 - 2*o**2)*(2*o + 2 - 2) - 582*o**2 + 582*o**2 + 738*o**4.\nAnswer: 734*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 59 + 33 - r + 2*r.\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712*p**2 + 34 + 506*p - 506*p.\nAnswer: 712*p**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 80.043. Suppose 2*g + g = 68 - 71. Which is the second biggest value? (a) g (b) 3\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15240880 - 2460*k**2 - 15240880.\nAnswer: -2460*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21205591 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y - 1. Calculate d(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 58 (b) 5 (c) -2446\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.2 in -4\/5, -0.5, -0.02?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 0*t**2 - 38*t**2 + 20*t**2. Let o(c) = -34*c + 1. Determine i(o(r)).\nAnswer: -20808*r**2 + 1224*r - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 101. Let q = -349\/9 + o. Which is the nearest to -2\/7? (a) 2\/5 (b) q (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 4\/(-4)*1. Solve v = m - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u + 116. Let r be c(0). Suppose 3*d = 5*d - r. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834982872 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -20, -21*i + 20*i = -2*d - 7. Suppose -2 + 4 = 2*o, 2*o + 3 = -r. Let h be 4\/(-1) + i - r. Sort h, -0.4, -1\/2, 1\/2 in descending order.\nAnswer: 1\/2, h, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of (7 + -22 - -48144 - 5*1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-15)\/((-510)\/34))\/(3*1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189089?\nAnswer: 173, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**17)**(-3\/47) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39275?\nAnswer: 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(7\/4) - (-143)\/7 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12791 - 12736. Solve 49 = -6*d + k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9628 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3543 - -6142. Calculate the greatest common divisor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222 (base 6) to base 13\nAnswer: 1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*3\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/20)\/((-21)\/105).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o. Let i(s) = -s. Let x(n) = -3*i(n) - m(n). Let r(y) = -y. Let p(j) = -18*j + 2. Let d(a) = p(a) + 5*r(a). Calculate d(x(k)).\nAnswer: -23*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53366473?\nAnswer: 53366473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 2, h: 1, l: 1, i: 2, t: 1}. Give prob of sequence rihl.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -f77b4?\nAnswer: f77b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-6))\/(40\/(-30))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 25503*s + 18. Let y be k(-6). What is y rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10 at most as big as 12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*b - 6. Suppose 10 = -5*x + b*q, 5*q = -10 - 0. Let s(w) be the third derivative of -w**4\/8 - 2*w**3\/3 + w**2. What is s(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696, -695, -692, -687, -680, -671?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (336\/(-40))\/((-29)\/30 + 1). Calculate the common denominator of -3 - (4\/(-14) - (-2056)\/a) and -14\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 4*u + 0*u)*(6 - 8 - 8)*(13 + 6 + 6) to the form w + n*u and give n.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 7*c + 8. Let a = -8 - -11. Let r = 398 - 394. Suppose -p = -x - a - 9, -r*p = 4*x - 8. Calculate y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783299867.\nAnswer: 7, 111899981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = -10, h - 6 = -2*l. Solve 0 = l*w + 20 - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1107674, 1107666, 1107654, 1107638, 1107618, 1107594, 1107566?\nAnswer: 1107534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkmhkhmkmmhkkmmkm. Give prob of picking 3 k and 1 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0417 + 4.8183. Let v = -4.56 + h. Which is the nearest to v? (a) 3\/2 (b) 5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*n**2*s**3 + d**3*n**2*s**2 - 2*d**3*n*s**2 + 16*d**3*s**2 + 2*d**2*n**2 - 10*d*n**2*s**3 wrt s.\nAnswer: 6*d**3*n**2 - 60*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 1098177?\nAnswer: -1098178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40473)\/36 - (-2)\/8. Let c = b + 2659. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**4 + 3*c - 3*c - 3*c**2 + 2*c**4 + 1 as p + s*c**4 + v*c + j*c**2 + l*c**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281a91 (base 11) to base 10.\nAnswer: 441871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -5. Let r = -82 - -86. Which is the closest to 1\/4? (a) i (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r - 8. Suppose -2*w + 0*b + 100 = -4*b, -3*w - r*b + 170 = 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 3 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*32\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518373177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7269858962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -7*p**4\/12 - 7*p. Let f(v) = -2*v - 2. Let a(u) = -1. Let w(n) = 2*a(n) - f(n). Determine w(b(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15457217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 23 + 22. Solve w = -2*w - b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68097564*c**3*f**2 - 6*c**2*f**2 - c**2*f + 9*c**2 - 2*c*f**2 - 6*f**2 + 206*f wrt c.\nAnswer: 408585384*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {r: 5, b: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.421*0.03.\nAnswer: 0.10263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-176)\/(-528)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1519*f**2 - 506*f**2 - 511*f**2 - 504*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/62)\/(3\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*i = 142, -5*o + 288*i = 289*i + 168. Which is the biggest value? (a) -5 (b) o (c) -0.2 (d) -2 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88194336 by -372128.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 118 = -2*n. Is (-2)\/10 + (-5346)\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (97 - 99) + (-10 - -6) + -27?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*f - 3*c, 3*f - 5*f = 5*c + 3. Suppose 3*w + 2*o = f, -2*w = 2*o - 6 - 0. Solve 5*m = -w*m - 4*s, -2*m - 18 = -2*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.83 + 7.24. Which is the third biggest value? (a) -0.3 (b) -2\/5 (c) -0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 52.99149369 and -1.6.\nAnswer: 51.39149369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 2*z - 5. Let b(x) = -1. Determine 4*b(j) - v(j).\nAnswer: -j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 4 + 2 - 4)*(6*d**3 - 7 + 7).\nAnswer: 24*d**4 + 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 27 = -3*x, -4*t + 32 = 415*x - 411*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458210, -458212, -458216, -458222, -458230, -458240, -458252?\nAnswer: -458266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -583888 divided by -4\nAnswer: 145972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2. Let c(x) be the first derivative of -3*x + 0*x**2 - 1\/3*x**3 - 7. Let n(v) be the first derivative of c(v). Determine h(n(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15.1 and 1.346?\nAnswer: 13.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/3745 - 11219\/29960. Which is the second biggest value? (a) k (b) 0.6 (c) -1\/70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 + 2*l**2 - 2*l**2)*(-4*l - 2*l + 5*l) + 2 - 16*l - 317*l**4 + 317*l**4 - 3*l**5.\nAnswer: -5*l**5 - 16*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-7 + 1 + 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 7*m = 3*n - 7*m - 18, n = m - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 11111120211?\nAnswer: -11111120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*o, 4*j - 133 + 132 = -5*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - 2*p + 2*p + (-2*p - 3 + 3)*(-p**3 - 2*p**2 + 2*p**2) + (-p - 7*p + 15*p)*(-p**3 + 6*p**3 - 4*p**3).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 60\/43 (b) 3 (c) 15 (d) -0.3 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3214011 is divided by 1306.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -0.4, -11, 6\/29?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 7*k**2 - 12*k - 49. Does 17 divide a(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 15*u + 5*m + 344 - 299 = 0, 2*u - 26*m = 146 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -319*w + 151. What are the prime factors of l(-24)?\nAnswer: 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/15)\/(4\/(-42)). Let y(h) = -4*h**2 + 9. Let c be y(2). Let z = c + j. Solve -2*u - 4 = -z*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 4. Let b(i) = 19 + 15 + 14 - 43. Calculate 2*b(h) + 3*p(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1 = 2*k - m, 0 = -5*m - 5. Let f(b) be the first derivative of 1\/2*b**4 + 1\/5*b**5 + k*b**3 + 2 - b - b**2. Suppose f(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*i**4 - 86*i**4 - 2*i**3 - 3*i + 24 + i in the form x*i**2 + t*i**3 + p + a*i + h*i**4 and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 384\/(-1392)*(27\/(-9))\/(6*-4)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 156 + 3 + 8\/(-2). Suppose m = -x - 13 + q, 20 = 5*m. Suppose 0 = i - 3*i + x. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 12. Suppose -4*x = -r*j - 2*x + 9, -2*x = -2*j. What is the highest common factor of j and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.5 + -15.8. Which is the second smallest value? (a) -4 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 24*m**3 - 14*m**2 + 34*m - 14. Let h = 40 + -26. Let d(o) = -5*o**3 + 3*o**2 - 7*o + 3. Give h*d(k) + 3*x(k).\nAnswer: 2*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4969981 is divided by 1665.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/3)\/i)\/(i*((i\/(i*i**(-1\/6)*i)*i)\/i)\/i*i*i)*i**5*i**(-7)*(i**(-1\/3)\/(i*i**(-2\/3)))\/(i\/(i**(-1\/3)\/i))**(-2\/35) assuming i is positive.\nAnswer: i**(-101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*f**4 - 10*f**2.\nAnswer: 2664*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 7\/2, 299, -5?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + sqrt(1900).\nAnswer: -1 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, 37, 220, 581, 1180, 2077, 3332, 5005?\n\"Answer: 10*q**3 - q**2 - 2*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 18*v**2 + 17*v - 21. What is r(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l + 35 = 31*l. Suppose -g + 4*t - 136 = -5*g, -3*t - 138 = -l*g. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8587582, -8587581, -8587580, -8587579, -8587578, -8587577?\nAnswer: -8587576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -14. Let d be -2*(p\/(-1) + -4). Which is smaller: d or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i - 29. Let a be p(0). Let j = a + 86\/3. Let w(y) = -y**3 - y**2 + y + 3. Let o be w(0). What is the closest to j in 4, o, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2 - 5740. Let n(o) = -23985*o. Calculate y(n(q)).\nAnswer: -47970*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5310\/3245 - 1174\/(-22).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0*p + 7*p - 2*p + p. Let o(d) = -13*d - 11. Let l(k) = 18*k + 14. Let g(y) = 4*l(y) + 5*o(y). What is -4*g(b) + 5*n(b)?\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 240857.42318 and -0.0273.\nAnswer: 240857.39588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750216.213 rounded to the nearest 100?\nAnswer: 2750200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -16fd?\nAnswer: 16fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 13555*t + 365899. What is g(-27)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 10*u**2 + 2*u + 11. Let c be y(-10). Let i(o) = -o - 7. What is the units digit of i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11430 - 10?\nAnswer: 11420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*6\/(-36)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*c**2 - 23*c**2 - 8 + 9*c - 2*c**3 + 10*c + 10*c**3 + 7 + c**4 to the form w*c**3 + z*c**4 + p*c + h*c**2 + f and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1818.\nAnswer: -1\/1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10400042314 - -230?\nAnswer: -10400042034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 11*v - 14. Let f be b(10). Let i = -0.1092 + -0.2908. What is the nearest to 3 in f, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {s: 1, g: 4, w: 2, m: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 300. Let v be ((-4)\/(-6))\/(10\/g). Solve 4*o = 3*t + v, 9*t - 2*o = 4*t - 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 515\/(-35) + 2\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257009?\nAnswer: 157, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 2*k**2 + 9 - 1 - 11*k + 4*k. Let n be a(-6). What is the second derivative of 9*d**5 - n*d - d**5 + 5*d**5 - 6*d**5 wrt d?\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340445934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + (-1 + sqrt(20))**2 - (5 + sqrt(5) + sqrt(45)\/sqrt(9))**2.\nAnswer: -22*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 186 = 2*n, -n = -2*n - 2*x + 96. Let d = 116 + -174. Let r(u) = 7*u + 438. Calculate the remainder when n is divided by r(d).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -881017\/2 - -440444. Let v be 26\/(2*2\/(-10)). Which is greater: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x**3 - 26*x**2 - 11*x - 8. Let f(z) = -4*z**3 - 9*z**2 - 4*z - 3. Suppose 7 - 79 = 9*s. Let v(w) = s*f(w) + 3*n(w). Give v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7502396 and 7502395 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.536 rounded to 0 decimal places?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(11 + -6) + ((-110)\/(-5) - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 51 + 26*v)*(2 - 2 - v)*(1 + 5 - 4) + 0*v**2 + 3*v**2 - 5*v**2.\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ummu when four letters picked without replacement from mtmuutumttt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 34. Let r be ((-144)\/(-10))\/(x\/(-40)). Let c = r + -46. Solve -c*y = -y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/66327649 or 1?\nAnswer: -1\/66327649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11465 = 26*x - 13547. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-1 - (-6 + -2 + 7 + 11))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -13 + 37. Suppose 36 + k = 3*y. Solve 20 = 4*o - 2*o + 3*c, 5*c = y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 r when three letters picked without replacement from {g: 5, k: 1, r: 2, h: 1, p: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 6, r: 4, x: 6}. Give prob of sequence cf.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924 and 207312?\nAnswer: 2280432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1510 - 2253. Let r = -742.999998652 - a. What is r rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 68d0 - 7?\nAnswer: 68c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.48 + 192.52. Let y = p + -193. Which is the closest to -1\/3? (a) 3 (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121*-1.3.\nAnswer: -157.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 0 + 0 + (662*f - 662*f + 18*f**2)*(-f**3 - 2*f + 2*f).\nAnswer: -19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from tsusu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 710141 <= 710141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 6*h + 2*h + 1544 = 0, -h = -3*q + 1162. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.8248 * -8\nAnswer: -38.5984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 8. Let q be 207\/45 - (-2)\/m. Let y(a) = -6*a + 3. Let l(k) = -7*k + 4. Suppose 0 = -7*b + 2*b - 30. Determine b*y(r) + q*l(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -1943?\nAnswer: -1938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290294677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 73904 - 18404. What is s rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 3. What is the remainder when 3 is divided by i(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 + 401. Suppose 4*o = 2*u + 2*u - 180, 4*u + 4*o - x = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 226603*a*t*x - 21*a*t - 21*t*x + 110853*t wrt a?\nAnswer: 226603*t*x - 21*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4*a + 4*v - 36, 2*a + 791 = 2*v + 767 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8282 (base 9) to base 4\nAnswer: -1132310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrcr when four letters picked without replacement from rczpppccrr.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 145, 294, 443, 592, 741?\n\"Answer: 149*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, -0.8, -4, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.44 + -0.4. Let o = 0.14 - s. What is the nearest to -0.1 in 0, -6\/7, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76 + 68 - (-2 - (-3 - -5))) + 7 - 38?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.982 - 0.018. Put 3, 1\/3, 0.5, o in increasing order.\nAnswer: o, 1\/3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14305\/46 or 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-14))\/((-6)\/42). Let s(y) = 0 - 2*y + 5*y - 6. Let b(n) = -n - 1. Let q(c) = 6*c - 1. Let g(i) = -4*b(i) - q(i). Give p*g(u) - 5*s(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98.6 - 99. Put h, -4, -1\/67 in descending order.\nAnswer: -1\/67, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 359172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151 by 6.\nAnswer: 151\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.934964 to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 18 = u, 8 + 49 = 2*f - 5*u. Let i(o) = o**3 - 23*o**2 + 48*o + 23. What is the tens digit of i(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21851830 divided by 962\nAnswer: -22715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*y = -76*y - 87*y - 253 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-426)\/(-204))\/((-888)\/30192)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6954653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 7 = 3. Suppose 3*v = h*w - 158, -6*v = 3*w - v - 133. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Let w(k) = -9 - 4*k**2 + 9 + 0. Determine w(o(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 19*q - 55. Let v be f(16). Let u(r) = -2*r**3 - r**2 - r + 4. What is the hundreds digit of u(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3352 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 284*u**2 - 4*u + 284.\nAnswer: 4*(u - 71)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112 + 1937*r - 7 - 1813*r wrt r.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 10*v + 4500000. Round v to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2943.86 - 2979. Round j to zero decimal places.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -244?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43683*b**3 + 63*b*k + 91750*k - 128 wrt b.\nAnswer: 131049*b**2 + 63*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2225 is divided by 317.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656484 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 10*u + 11. Let v be w(10). Suppose -12*l + 153 = -v*l. Find the second derivative of 9*t**5 - l*t**4 + 153*t**4 - 12*t wrt t.\nAnswer: 180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.245 times -595077\nAnswer: -145793.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 35*g**5 + 730*g**4 + 980*g**3 - 45800*g**2 - 142720*g + 448000 = 0.\nAnswer: -14, -8, 2, 50\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 22 - 17)*(-11 - 7*a + 11).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 5*r + 5. Let s be l(0). Suppose 22*v - 26*v + 48 = -s*g, 4*v - 48 = 4*g. Solve 9*d - 3*d - v = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 858\/1225 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -4, -58, -2\/13, -0.2, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.484997 millennia to centuries.\nAnswer: 64.84997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6668 is divided by 145.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(((g\/((g\/(g\/(g\/((g\/g**2*g*g)\/g))))\/g))\/g)\/g)\/g)**(-47)\/(g**1*g)**(-28) assuming g is positive.\nAnswer: g**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 8*v + 9. Let i be 6 + (0\/4)\/11. Give a(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.75157 nanometers in millimeters?\nAnswer: 0.00009775157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + (-1 - -4) - -174 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/(273\/(-52))*-1. What is the third smallest value in -0.1, -4\/5, x, -19\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -50?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d + 32*d + 9*d + 3*d + 34*d.\nAnswer: 64*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28a56 + -60?\nAnswer: 289a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 49 = -209. Suppose -d*r + 4 = -36*r. Let u = -5 + 15. Calculate the least common multiple of r and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - h - 18 = 0, 2*h = -4*k + 6*h + 8. Suppose 43*a - 64*a = -84. Solve -k*o = 2*x + 18, -5*x - 12 = -a*o - x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let w = -0.41 + 0.71. Let p be 22\/(-10) - 1*-2. Which is the closest to 2\/9? (a) h (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.060707244 and -0.3.\nAnswer: -0.360707244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2*(-8)\/(-18))\/((-11)\/(-198)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 4, t: 2, v: 2}. What is prob of picking 1 w and 1 b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*c + 24*c + 13*c)*(2*c - 2*c - 2*c)*(2*c + 4*c - 3*c).\nAnswer: -396*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 - 1 + 6 - 5.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -1047745?\nAnswer: -39\/1047745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 1. Suppose -2*x + 8 = -5*p, x + 9 = -5*p - 2. Let u be s(p). What is the tens digit of (-2 - -1) + u - -81?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3280 = -5*k. Is (-1)\/(4\/k) + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 1:53 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1555 + 36*a**2 - 22*a**2 + 633 + 775 to n + w*a + y*a**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*k**4 + 3*k**2 - 265 + 261*k**4 - 2*k**2 + 261 + 0*k**2 wrt k?\nAnswer: 5208*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1036 (base 13) to base 3.\nAnswer: -10002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315*t - 442 - 163*t + 1021*t**2 - 150*t wrt t.\nAnswer: 2042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a + 1 - 4*a - 2*a + a + 2*a - 4*a + (4 - 4 + 2)*(-2 + 2 + 3*a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqhttaqqtttqtqh. What is prob of picking 1 t and 1 h?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*o - 168, 32 = 3*o + 3*q - 229. Calculate the remainder when 486 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 8\/7, -0.4, 3\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/2)\/(10\/40). Suppose -n + 3*n = p. Solve 0*x = -5*x + n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(4 + (-27)\/6). Let m(z) = 0*z**2 - z**2 - h*z**2 + 2*z**2 - 6*z. Determine m(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -651*f - 10468. What is t(-16)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543102*n**2 - 543100*n**2 - 543107*n**2 + 1629287*n**2.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 14545153.\nAnswer: -1\/14545153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*d + 8487573 - 8488608 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3)**50)**(-36) assuming h is positive.\nAnswer: h**(-5400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 999 = -70*l - 22*l. Let k = 10 + -15. Put k, -3, 1, l in descending order.\nAnswer: l, 1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**4\/6 + 11*c**3\/6 + c**2 - c - 501. Let l(a) = 40*a**2. What is l(r(t))?\nAnswer: 640*t**2 - 3520*t + 4840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = -20*r - 160. Suppose -52 + r = -8*y. Suppose -8 + 12*i + i**3 + 15\/2*i**y = 0. What is i?\nAnswer: -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (68\/(-36) - -2). What is the nearest to 0.1 in -4, 2\/15, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -v, 18*d + 2*v = 16*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**6\/360 + v**5\/5 + 11*v**4\/6 - 104*v**3\/3 + 131. Let p(u) be the third derivative of n(u). Differentiate p(j) wrt j.\nAnswer: 2*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/36110 and 87\/314?\nAnswer: 36110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + -1 - sqrt(34)\/(sqrt(2)*1).\nAnswer: -1 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c\/((c*c**(-1\/8))\/c))\/c))\/(c**(-15\/2)\/c))\/(c**(-1\/23)*c*c\/c**29))**(12\/13) assuming c is positive.\nAnswer: c**(20103\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 678*c**2 - 24946*c - 16015. Determine h(-639).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 m when three letters picked without replacement from bmmqm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*t, 5*n + t - 43 = -t. Let m be ((-7)\/((-2254)\/(-92)))\/((-1)\/14*2). What is the highest common divisor of m and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1010418\/77 + 13122. Calculate the common denominator of y and 43\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*s - 20, 7*w = 4*w - 4*s + 10. Let z = 0.67 - -1.33. Do z and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -12 - (-5 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2915.54046 to the nearest integer.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*j - 11, -5 = -2*j - 3*j - 5*b. Suppose 2*a + m = -7, -a - 16 = j*m - 5*m. What is the smallest value in -1\/6, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 11*h**2 - 2*h - 1. Calculate the remainder when 62 is divided by q(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/30)\/(1800\/(-252)*(-42)\/(-90)).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -701 - -701.000234. What is r rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4099397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 293*g**2 - 101*g - 36. Let y be j(-6). Does 11118 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 - 5*i + 1. Let s(a) = -4*a**2 + 4*a - 1. Let b(f) = -5*c(f) - 6*s(f). What is b(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-52)\/65 - (-6096)\/(-480).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223648 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9731802 divided by -1?\nAnswer: 9731802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2\/11 (c) -3 (d) -15 (e) 1623 (f) 2 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*j - 2 - 5*j)*(3 + 0 - 16) as h*j + t and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*o + 10*o + 10*o)*(-7*o + 5 - 5) - 2*o**2 - 3*o**2 + o**2)*(-o + 4*o - o) to b*o**3 + s*o**2 + m + h*o and give b.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*r**2 - 62*r**2 + 18*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*x + 4 = 97*x + 9, -x = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-15)*21 - -4)*1. Let f = 4.02 - 0.02. Let q(x) = -2*x**2 + 49*x - 27. Let z be q(24). Which is the nearest to -5? (a) z (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*x + 122 + 2*x - 122 in the form i*x + v and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1225 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 70490458 divided by -1\nAnswer: -70490458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*a**2 - 28419 + 2*a + 28429 - 118*a**2 - 2 + 2 + a**2 + (-6*a + 2*a + 3*a)*(a - 5*a + 2*a) as p*a**2 + z*a + o and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {s: 2, i: 2, z: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 less than 213.8869?\nAnswer: -101.1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11310212 (base 4) to base 6\nAnswer: 302222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + y**2 + y - 31. Calculate z(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/139 (b) -1\/4 (c) 0.4 (d) -0.07 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001010 - 10?\nAnswer: 11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*l + 5, -112 = -5*l - 5*t - 97. Solve -l*a = -3*j - 13, 10 - 16 = 4*j + 3*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 + 3*a**5 - 6*a**5 + (10*a - 3 - 10*a + 8*a**3)*(0*a**2 - 2*a**2 + 0*a**2).\nAnswer: -17*a**5 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*12\/(-4)*95\/15)\/(-1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, v: 5}. What is prob of picking 1 v and 1 w?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30309?\nAnswer: 3, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**8\/5880 + v**7\/980 - v**5\/105 + 41*v**3\/6 + v**2 + 43. Let y(o) be the first derivative of d(o). Factor y(u).\nAnswer: -2*u*(u - 2)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260787193 a multiple of 2543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 77 = -5*u, 56*f - 57*f = u - 17. Let s be 1\/2 - 202\/(-4). Let y = s + 69. What is the highest common divisor of y and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123569 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-101)\/((-1818)\/360))\/(2\/(-1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 433429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:26 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3188 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) -5\/4 (c) 2.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -221048 or -221001?\nAnswer: -221001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -17 + -9 - (23 - -3)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqkvy. What is prob of picking 1 v, 1 k, and 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6. Suppose -s = 2*i - 11. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 475*j**3 + 2*j**2 - 1. Let g be x(1). Let r be (7\/(g\/(-8872)))\/104. Let n = r - -1\/221. Sort 4, n, 0.2 in decreasing order.\nAnswer: 4, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*k - 829 - 419 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = 169*b - 1372. Solve 16 = -k + 4*w, 5*w - 20 = b*k - 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1984 and 55\/1984.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 64, -3.2, -2, -1\/9, 0 in ascending order.\nAnswer: -3.2, -2, -1\/9, 0, 2\/11, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*j*p*u*z**3 - 28*j*p*u*z**2 - j*u*z**2 - j*z - 4*j - 26*u*z**3 wrt p?\nAnswer: -10*j*u*z**3 - 28*j*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-564)\/(-3) - (4 + -1). Let n = -180 + m. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppqpqptpqpqlptppp. Give prob of sequence qptp.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -156*f - 1399. Let k be v(-9). Solve 9*t - 22 = r + 4*t, 0 = -r - k*t + 28 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 33 = 3*b - 761, 1069 = 4*b + 5*l. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106 - 105.7. Let g = 0.2 + 0.8. Which is the nearest to g? (a) 1\/2 (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -32*f**3 - f**2 + f + 1. Calculate the remainder when w(-1) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 1 - 1)*(n**2 + n**2 - 3*n**2)*(-70 + 22 - 16) in the form t*n + g + a*n**2 + p*n**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2416159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8653 is divided by 164.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -52*m. Let w(f) = -69*f**2 + 14*f + 3. Let u(r) = 208*r**2 - 47*r - 10. Let x(k) = -3*u(k) - 10*w(k). What is y(x(z))?\nAnswer: -3432*z**2 - 52*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1. Let y(q) = -2*q - 14. Let o(w) be the third derivative of w**4\/24 + 3*w**3\/2 - 14*w**2. Let m be o(-7). What is m*y(x) - 28*g(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 4. Let n be t(2). Let a(d) = -182*d**2 + 9*d + 6. Let p be a(n). What is p rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 8 = -7*m - 0*u, -26*m + 4*u + 40 = -21*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 78. Let u be q*12\/15 - 3. Factor -1\/5*a**2 + 2\/5*a - u*a**3 + 0.\nAnswer: -a*(a - 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524552612 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.8. Let t = -14.61 + -0.39. Let g = 18 + t. Which is the nearest to -1\/2? (a) g (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.0033 (b) 1 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/30 and -29\/662850711.\nAnswer: 6628507110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1834 + 1838. Do x and 44\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.2 + 5.6. Put y, 2, -1, -10 in decreasing order.\nAnswer: 2, y, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 - 3 = -l, 2*y = -10. Let t(m) be the third derivative of -1\/70*m**7 + 0 - m**3 + 1\/8*m**4 - 1\/40*m**6 + 2*m**l + 0*m + 3\/20*m**5. Factor t(b).\nAnswer: -3*(b - 1)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 at most as big as -342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11573 - 31259 = -1127*w + 11870 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1710, 4, 35 in ascending order.\nAnswer: 4, 35, 1710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-16 + 24 + -11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*f - 43200 + 40875 = 0 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 7*v - 4. Let q be g(-6). Suppose 2*a + q*a - 2*z - 218 = 0, -4*z = 2*a - 84. Suppose 54*j - 100 = a*j. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7 + 59 = y, d = 5*y - 278. Suppose 4*q - 803 = -107. Suppose 62 = -4*p + q. Calculate the remainder when y is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.5 - 0.5. Let i = -10.9 + 11. Let n = -0.4 + 0.3. Which is the closest to n? (a) l (b) -1\/6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61781858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11242 (base 5) to base 8.\nAnswer: -1466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:59 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20754 + -84954. What is q rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 14 - 15 - 3*z**2 + z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40235302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/(-4) + 0)*(-3 - 3). Let b(f) = 5*f**2 + 6*f - 2. Let x be 3 + ((-12)\/10 - 4\/(-20)). Let i be b(x). What is the greatest common factor of i and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68046063 and 294866273?\nAnswer: 884598819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869?\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 449*a**5\/5 + 3*a**4\/4 - 2036*a**3\/3 + 3*a**2\/2 + a + 2771. Find the third derivative of l(h) wrt h.\nAnswer: 10776*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o + 6*z - 2*z, -3*o - 30 = -3*z. Is (o\/(-4))\/(12\/2256) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 149, 170, 207, 260?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18483541 to the nearest integer?\nAnswer: 4299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3150 and 504?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 257 + 299. Let c = j + 683. Is c a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - 1. Let l = j + 30. Let i = -18 + l. What is the nearest to -1 in i, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -22.4. Let l = t + -4.4. Let q = l + 4.4. What is q rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53679 + -a?\nAnswer: -53685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013006248 rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 1370*h - 684.\nAnswer: -2*(h - 342)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*q - 85, 0 = -13*p + 9*p - q - 80 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148761 and 82645.\nAnswer: 743805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 3*v + 220 - 116 - 124. Let u be q(-24). Is u > -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1002 + 222224340?\nAnswer: 222230342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 + 3.201. Let f = 0.00011 - v. Round f to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s - 136 = 2*s. Let z = -0.18 + -1.72. Let q = z - -0.9. Which is the closest to q? (a) -2\/5 (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 3:45 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29989663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 3*s - 4. Let v(g) = -2*g**2 - 15*g - 5. Let z be v(-7). Let m(p) = 2*p**2 - 2*p - 2. Calculate the least common multiple of h(z) and m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2871 is divided by 2446?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -3)\/((-3)\/330). Find the common denominator of 41\/11 and 655\/w - (-1)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -407*b + 58. Is m(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 41.\nAnswer: -11\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - w - 4. Let n be z(0). Let a be (-592)\/(-72) + n\/18. Calculate the greatest common divisor of 72 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) -3\/8 (c) -3054 (d) 2\/17 (e) 2 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5191 - -9337. List the prime factors of q.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 94836.9 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*j + 12 = 2*o, 16 = 5*o + 2*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 3*k + 12, 5392*c - 5391*c = -4*k + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 770 - -314. Suppose 5*d - d = -2*i - g, 0 = -4*i - 2*d - 2192. Round i to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - (-1)\/(1\/(-3)). Let y be (-3 - -1780003)*-30*(-6)\/f. Round y to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*j = -56, -370*j + 367*j = 2*q + 2. What is the remainder when 1701\/28 - 2\/(-8) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177 a factor of 86435349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u + 57*u = 152*u - 1950. Sort 11, 5, -1, u, -2 in descending order.\nAnswer: u, 11, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a + 0*a)*(-13*a**2 + 6*a**2 - 9*a**2).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 9*f - 4 - 1 + 3*f - 5*f. What are the prime factors of r(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 + 4*d**5 - 2*d**5 + (2*d**4 + 0*d**4 - d**4)*(-d + 4 - 4) + 2*d**5 + 0*d**5 + 0*d**5 + (-4*d**4 + 2*d**4 + d**4)*(d + 2*d + 5*d).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -506 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (2 - 4) + (-915 - -952) - (9 - -2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j + 4*p - 63, 0 = -j + 5*p + 1. Let g be (60\/150)\/((-2)\/(-10)*2). What is the lowest common multiple of j and 22\/14 + g - 36\/(-84)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1260) + sqrt(245)\/(-2*sqrt(7) - sqrt(7)))\/(sqrt(189)\/sqrt(3) + (3*sqrt(448) - sqrt(448))).\nAnswer: -37*sqrt(5)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.6 + 17. Let v = -5 - y. What is the nearest to 0.1 in -5, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 320831 and 14.\nAnswer: 641662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/36730 and -109\/9072310?\nAnswer: 9072310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667988 >= 4667988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14*5\/12*(-198)\/11?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1036911?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -27 - (41 + (-29 - -2) + (1 - 17))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (-3 + 1 + -2*sqrt(19) - (sqrt(1216) - (6*5*sqrt(1216) + sqrt(1216))))**2).\nAnswer: -2856*sqrt(19) + 3228735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 454149 - 467406.843. Let g = -13264 - z. Round g to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 70, 79, 98, 133, 190, 275, 394?\n\"Answer: d**3 - d**2 + 5*d + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*j - 275100012, 0 = -25*b + 30*b - j + 458499996. What is b rounded to the nearest 1000000?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 652 - 9776\/15. Let r(c) be the second derivative of -1\/5*c**4 - 1\/5*c**2 + 0 - 2\/25*c**5 + 2*c - 1\/75*c**6 - y*c**3. Factor r(a).\nAnswer: -2*(a + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 m when three letters picked without replacement from mnmnnmnmnnnnnn?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**3\/3 - 21*s**2\/2 - 18*s + 3. Let t be n(19). Let k = 64 + t. Solve a = -a + k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 7*f**2 - 6*f + 7. Let c be j(-6). Let z(p) = 3*p + 1. Let k(q) = -4*q - 1. Calculate c*z(i) + 5*k(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 124700 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-4 - 39\/(-13)). Let v(f) = 2*f**2 + 3*f - 3. Let p(w) = -w**2 - w - 1. Calculate i*p(h) - v(h).\nAnswer: h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98851430 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 443754217*u**2 + 647615459 wrt u.\nAnswer: 887508434*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4118309112 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506.997t in nanograms?\nAnswer: 1506997000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/127 - -159\/2032. Let f = -398711\/4 + 100454. Let j = -9581\/12 + f. Calculate the common denominator of j and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120512 divided by -64\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -11 + 1 - -27 - (31 - -2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9)*-2*(-15)\/(-20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124145 is divided by 211.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-13)*k**(10\/3) assuming k is positive.\nAnswer: k**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -115*l - 110*l + 334*l - 112*l. Determine x(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 600\/(-18)*(-832)\/1536?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**3*p - 116*g**3 - 43*p**3 + 9*p wrt p.\nAnswer: -g**3 - 129*p**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -312, -469, -626, -783, -940?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 77 (c) 2862\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -16*x + 20. Suppose 5*q = 3*q + 4. Differentiate -2*i**4 - q*i + 1 + x*i with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 + 87 - (-8 - (-5 + -64 + 1)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-1716)\/104)*69*(-2)\/(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*x + 13, 3*g + 9*x = 11*x + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 214*d**2 - 81*d + 55. Is x(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y = 83*y + 64. Sort 5, -1, 0, y, -4.\nAnswer: -4, y, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6040718447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45578232 to two dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 13*c + 30. Let t be y(8). Let g be (45\/t + 5)*0. Put 5, g, -6 in increasing order.\nAnswer: -6, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, -35, -17, 19, 79, 169?\n\"Answer: z**3 - z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71035248 - -3515248. What is y rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 47. Calculate the remainder when p is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1 = 2*p - 19, 4*p = 5*s + 6. Solve -s*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2*-20*3\/(-24) - -870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a + 25*a - 7*a + a - 4*a - 5*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16101 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -1\/4*s**4 - 4\/3*s**3 + 0*s + 0*s**2 + 84 + 1\/10*s**5. Find v such that z(v) = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 8*l**2 + 7*l + 1. Suppose -5*n + v = -6, v = 1 + 3. Let f be 1\/(n + (-15)\/7). Let w be d(f). Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37984?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 8*g**4 - 29914*g**3 + 67248*g**2 + 67266*g = 0?\nAnswer: -3\/4, 0, 3, 3737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g = 38. Find the second derivative of -27 - 30 + 57 + 3*h - g*h**2 wrt h.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1093, 1\/2, 14828?\nAnswer: 14828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.19 - -3.19. Which is the closest to m? (a) -8 (b) -1 (c) -5 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 155 = 0. Let n = g - 31. Suppose -c - 3*c = -4*d + 220, -4*d + 5*c + 216 = n. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116*n**4 + 46*n**3 - 82553*n**2 wrt n?\nAnswer: 2784*n + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 343 - 309, -4*m = m + 5*n - 100 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(189) + (sqrt(189) - (sqrt(189) - sqrt(189)*2*-4)))\/(sqrt(147)*2).\nAnswer: -3*sqrt(7)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.32054 or 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + l + 5, -2*l + 0 + 8 = -5*p. Let x be 3 - 2 - 1*p. Factor -3*c + 3*c**x - 2 + c**2 + 4*c + c**4 - 4*c.\nAnswer: (c - 1)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4072*s + 77 = 4065*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/59784 and 83\/204.\nAnswer: 1016328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/9*x**2 + 2\/3*x**3 + 2\/9*x**4 + 0*x.\nAnswer: 2*x**2*(x + 1)*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (6 + -4) - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Let n(u) = -u**3 + 11*u**2 + 13*u - 16. Let s be n(12). What is the units digit of c(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-6 - -5) + 6 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3395562.85 - 274787828.15. Let g = x - -278183377.0000017. Let s = g + 14. Round s to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - y**3 + 0*y**3)*(-5 + 2 + 1) - 8*y**3 + 11*y**3 + 5*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -463450369*u**2 + 140747640*u.\nAnswer: -926900738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002319801 rounded to five dps?\nAnswer: -0.00232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2\/3 - 244*h\/3 - 168 = 0. Calculate h.\nAnswer: -2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b = -0*b - 27*b - 693 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 245*n**2 - n + 237*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-22))\/(248\/682))\/((-2)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*l - 21 + 21)*(4*l + 0*l + 0*l) to k*l + d + q*l**2 and give q.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 1. Let k be 5*((2 - 1) + 0). Let l(w) = -5 - 3 + 1 + 2*w + 0. Let r(x) = -x + 4. Let i(u) = 4*l(u) + 7*r(u). Determine k*i(d) + a(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**3 - 3*a**3 - 4*a + 9 - 10 + 2*a to t*a + f*a**2 + j*a**3 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 190, 204, 218, 232?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223729 is divided by 55702.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**4 - 2*f**4 - f**4 + (-f + f - f**3)*(-f - 3*f + 2 + 3*f).\nAnswer: 4*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -195 (b) -17 (c) -0.4 (d) 40 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*f - 8*f, 2*v = 3*f - 111. Let h = v + 77. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 333, 1203, 2653, 4683, 7293, 10483, 14253?\n\"Answer: 290*u**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 195*v + 81. List the prime factors of r(3).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g - 226*g**2 + 38*g + 30*g + 235*g**2.\nAnswer: 9*g**2 + 112*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -419.5\nAnswer: -2097.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(324) + -3*sqrt(324)) + -5 + sqrt(57)\/(sqrt(3)*-2).\nAnswer: -5 - 7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 254267*j**2 - 254269*j**2 + 0*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2124555 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*o = -11, -2*t + 2*o = 6*o + 2. Suppose -3 = v, -2*v - v = -4*q - 3. Sort 5, q, t in decreasing order.\nAnswer: 5, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43188\/(-25193) + 2253\/1302.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.42444 take away 112075.53?\nAnswer: -112078.95444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431 - 29*d + 413 - 844 - 57*d.\nAnswer: -86*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*r = -5, 10 = 3*w - r - r. Calculate the smallest common multiple of w and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1.1, 3\/37.\nAnswer: 3\/37, 1\/3, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*v + 28 = 0, -51*z + 4*v + 4 = -54*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/(-45))\/(0 + (-3)\/(-15)). Let m be (-12)\/(-4)*7*(l - -8). Calculate the greatest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53775970 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2205\/39346 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:07 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/6*12\/(-9). Let k be (-170)\/a - 4\/12. What is the second derivative of 33*g**4 - k*g**3 + 28*g**3 + 6*g wrt g?\nAnswer: 396*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 4*y - 6*y. Let j(t) be the second derivative of -t**4\/6 + 49*t**3\/6 - 33*t - 8. What is j(z(o))?\nAnswer: -18*o**2 - 147*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23747368053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (138\/(-12) - -9 - -3) + 487050\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -494.4671 rounded to 1 decimal place?\nAnswer: -494.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let y(n) = -19*n + 62*n + 52*n + 92*n - 11*n. Give y(a(v)).\nAnswer: -352*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v**2 - 4*v + 67. Give h(0).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcvc when four letters picked without replacement from {v: 5, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -2*h**3\/3 + h**2 - 2*h + 395. Calculate w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265288*h**3 - 66*h + 105 - 265295*h**3 - 105 + 62*h.\nAnswer: -7*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t\/(t\/((t\/(t*t**(-6))*t)\/t)))\/((t\/t**5*t)\/(t\/(t**(-1\/5)\/t*t))) assuming t is positive.\nAnswer: t**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3045698 is divided by 2157?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:07 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.31 + 0.31. What is the closest to 7 in i, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92245 rounded to three dps?\nAnswer: 0.922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 65*z - 3. Is r(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 15381, 3, 1, -5, 0, -4 in decreasing order.\nAnswer: 15381, 3, 1, 0, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 5 (c) 2222\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 4. Let y(j) = -j - 3. Suppose 4*n - 7 - 9 = 0. Calculate n*y(v) + 3*p(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3083 in 1\/10, 8, 4\/9, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2 - 54*c**2 + 80*c**2 - 25*c**2 + 6*c. Let j(u) = -u**3 - 23*u**2 + 24*u - 7. Let q be j(-24). Determine w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.5774 to one decimal place.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00079891324 rounded to seven dps?\nAnswer: -0.0007989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152 by -38.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 - 2*y**2 - 5*y**2 - 12*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 316*x - 909608.\nAnswer: 4*(x - 439)*(x + 518)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 19 = s + o, 84 = 4*s + 4*o. Let q = s - 17. Let a(c) = -c**2 - c + 10. Let g(n) = -n**2 - 2*n + 9. Let v(f) = q*a(f) - 7*g(f). Give v(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(405) + 1)**2 + 4 - -2*sqrt(405)*5) - (sqrt(15)\/(sqrt(192)*-1) + (sqrt(245)\/sqrt(63))\/sqrt(7)).\nAnswer: 7771*sqrt(5)\/24 + 1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 252096667 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 10*k**2 + 16*k - 16. Let g(c) = -3*c - 7. Let p be g(-6). What are the prime factors of w(p)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Let g(b) = b**3 - 2*b**2. Let d(f) = f**3 - 3*f**2. Determine p*g(r) - 2*d(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**2 + 11*j + 861?\nAnswer: 2*j + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (460\/(-10))\/((-1)\/2) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4539792*d**2 - 3831978*d wrt d?\nAnswer: 9079584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + a - 2 + (-4 + 2 + 4)*(3*a + 0*a - 6*a)*(-1 + 5 - 2) as d + v*a and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 10. Let n be (-3)\/(-1)*2 - g. Find the third derivative of y**2 - 3*y**n + 0*y**2 + 3*y**4 - 3*y**4 wrt y.\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89813760898\/2937 + -30580102. Let o = u - -1\/267. Let w = o - 4\/33. What is the nearest to 1\/2 in -0.4, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfr when three letters picked without replacement from hrfjjtrtjjr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/7? (a) 0.5 (b) -5 (c) 2\/31 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 91152*o - 455871. What is q(5)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 3*s + 3. Let y be b(-5). Let p = y - -12. What is the third derivative of 0*o**3 - p*o**2 + 4*o**2 - o**3 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1085998*u + 1085998*u + 153*u**3.\nAnswer: 153*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)**(1\/5)\/(v*v**(-4)*v**(1\/8)) assuming v is positive.\nAnswer: v**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49402 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312988 - 80387 = -4124*o - 225163 for o.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -28853340?\nAnswer: -28853332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53733 times 201.48?\nAnswer: -108.2612484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wll when three letters picked without replacement from {l: 5, w: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/32 (b) -32 (c) 2\/11 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j, 9*j - 4*j = 2*s - 124. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*2\/4 + 7. Let p = 83 - 80. Calculate the highest common factor of p and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 727*b**4 + 31712*b - 1116*b**2 - 15855*b - 15857*b wrt b?\nAnswer: 17448*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/1288*8 - (-978)\/3423.\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 0.02, -47\/3, -3\/4 in descending order.\nAnswer: 4, 0.02, -3\/4, -3, -47\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s. Let i(n) be the second derivative of 5*n**4\/12 - 10*n. Calculate i(q(v)).\nAnswer: 80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 6*w + 10. Let d be y(7). Let m(p) = -p**2 + 12*p - 25. Let h be m(9). Let k be ((-184)\/60)\/(h\/d). Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 16*i - 54. Solve 0 = -3*f + i*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 235*j + 2899. Calculate n(-222).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 602947, 2411733, 5426361, 9646831, 15073143, 21705297?\n\"Answer: 602921*w**2 + 23*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -231?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + 0 + sqrt(432) - (sqrt(432) + 0 + -4)) + (3 + sqrt(432) + 5 - (sqrt(432) + 3 + 3*sqrt(432) + sqrt(432))))**2.\nAnswer: 672*sqrt(3) + 6961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d587 - 4eb?\nAnswer: -5da83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9580, 9579, 9578?\n\"Answer: -d + 9581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**3 + 8*i**2 + 398*i - 820. Determine u(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484297630.\nAnswer: 2, 5, 2713, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0666448 millennia?\nAnswer: 0.666448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5 - 70*o**4 - 262*o**3 + 144*o**2 + 783*o - 594 = 0.\nAnswer: -66, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56635\/88 + 5125\/8. What is the common denominator of 1\/18 and m?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 14*u - 12. Let s be x(-12). Let k = 344 + s. What is the highest common factor of 540 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2. Let n(c) = 929*c - 5. Give 3*h(j) - n(j).\nAnswer: -929*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201618403?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -64139, -0.2, 3, 4 in decreasing order.\nAnswer: 4, 3, -0.2, -64139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.3 (b) 0.06 (c) 985 (d) -2\/9 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 24 = p, 3*p + u + 2*u - 66 = 0. Suppose -a + 25 = -n, 0*a - n + p = a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/17 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -27. Are 1\/2 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.796714 micrometers?\nAnswer: 0.0009796714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 241, 483, 725, 967?\n\"Answer: 242*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47908.2255 + -47896. Let j = -12.2 + q. Round j to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 18 = -3*s, 2*k + 0*s - 2 = 2*s. Suppose -15 = k*w - 0. Is -4 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3242.379 decades to centuries.\nAnswer: 324.2379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d + 124. Let t be y(29). Let n = 916 - t. What are the prime factors of n?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1))**(-5\/6)\/(l*l**1)**(-9) assuming l is positive.\nAnswer: l**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-12) + 411\/4. Let q = r - 160. Is 19 a factor of q\/5*(-15)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*h + 26 = 2*h, -157*h + 158*h + 30 = 4*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 6:13 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224455 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(10)*2 + sqrt(20)\/sqrt(18))\/(-2*sqrt(242)*3*-4).\nAnswer: -17*sqrt(5)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 + 41*o - 54. Determine c(23).\nAnswer: -1227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 greater than or equal to 3\/3371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 35\/4 and 31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**1*z))**(-27\/2)*z**2\/z*z**(-2\/5) assuming z is positive.\nAnswer: z**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 5*o**2 - 7*o - 4. Let y be g(-6). Suppose 6*r - y*r + 40 = 0. What is the common denominator of r and -89\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/((-184)\/20)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 + 88. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85046 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62 + 62 - i**2 + 7*i**5 wrt i.\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2146 divided by -2146\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*((-5)\/(-2) - 51\/17). Let g(v) = -v**2 + 5*v - 3. Calculate g(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*n - 9 + 32*n - 1 - 12 to c + o*n and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 21. Let v(g) = g + 7. Let u(y) = -4*j(y) - 11*v(y). What are the prime factors of u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.099749735 rounded to 4 decimal places?\nAnswer: -0.0997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80566 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33453769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - p - 23 = 0, 5*p = -4*f - 31 + 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 74*r - 3. Let x(j) = 110*j - 4. What is 7*o(v) - 5*x(v)?\nAnswer: -32*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 19. Let x = -4 + 6. Solve 4 = r*n - h, x*n - 3*h = h + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 = -0*o, o - 3 = -4*u. Suppose 4*p + p = u. Suppose p = j - 5*j + 12. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/m)**(-1\/55)\/(m\/m**(-2\/3)*m)**(-3\/8))\/(m**(-3\/5)\/((m\/(m**5*m))\/m))**(-6\/13) assuming m is positive.\nAnswer: m**(2523\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 14972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -6. Suppose -51975 = 2*b + 7*d - 2*d, -t*b - 103980 = 4*d. What is b rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/8 - -3)*-14. Suppose 0*g = 5*g - 40. Suppose -g = -5*w + x. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 6*x**2 - 6*x + 2. Let l be z(-7). Let a = l + 9. Solve a*q - 1 + 13 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 96694 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*l - 4 - 20 = 0, -21 = -2*h - l. Let d = -51 + 61. What is the derivative of h - d*q + 5 + 4*q - 8*q wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46986.416 rounded to the nearest one hundred?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5206?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j + 5*u + 13, -4*j = -3*u + 5. Let m be j + 1 - 0 - -6. Let w be (11\/(-7) - 1)*(-602)\/129. Solve m*l + w = -13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13 + 1 - (-7 + 9). Is 2036\/24 + 0 - (-2)\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89208000 rounded to the nearest 100000?\nAnswer: -89200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22611973 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: Let t be (-3)\/(-6)*1*-4. Let s(d) = -d. Let k(z) = -2*z. Suppose 5*w + 3 = -c + 1, -2*c + w + 7 = 0. Give c*s(l) + t*k(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4496, -10323, -16110, -21857, -27564, -33231?\nAnswer: -38858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011126 to four decimal places.\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 13 = 11. What is the highest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 96*i - 93*i. Which is smaller: i or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 4054 + 6557. Calculate the remainder when w is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4236 is divided by 1898.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 5220?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*q - 175. Solve 2*g = -3*g + q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 11*y**2 + 16*y - 6. Let j(m) = -2*m**3 - m**2 + 1. Let f(g) = 2*j(g) - s(g). Let q be ((-3)\/(-12) + 2)*-4. Is f(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036\/(-8653) - (-89)\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 954, 3817, 8588, 15267, 23854, 34349?\n\"Answer: 954*i**2 + i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.34 + -18.34. Let u = -13 - f. Let w = -16.87 + 17.07. Which is the third biggest value? (a) u (b) -0.7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12\/k**26*k**(3\/4)*k*k**27)**(1\/14) assuming k is positive.\nAnswer: k**(59\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 88*y**2 - 4881*y. Let o(a) = -6*a. Determine o(z(f)).\nAnswer: -528*f**2 + 29286*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f - 2*f**2 + 5*f + ((-11*f**2 + 23*f**2 - 7*f**2)*(-119 - 3 - 10) + 2*f**2 + 2*f**2 - 2*f**2)*(1 - 1 - 3).\nAnswer: 1972*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/9 (c) 29\/8409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 42*l + 47. Sort 4\/9, l, -1, -250 in descending order.\nAnswer: 4\/9, -1, l, -250","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + q - q)*((-1 - 3 + 1)*(q - 4*q + q) + 2 - 2 + q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmg. What is prob of picking 1 g and 2 m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3451513 and 1898.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 3. Calculate s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143791199 is divided by 900?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18124, -16198, -12988, -8488, -2692?\n\"Answer: w**3 + 636*w**2 + 11*w - 18772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 16*s**2 + 15*s. Give p(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -424378\/27 != -15718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 8072?\nAnswer: -8071.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -504, -1717, -4092, -8019, -13888, -22089?\nAnswer: -33012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1791473 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/11 - 14752612*f\/11 + 59010480\/11.\nAnswer: -2*(f - 4)*(f + 7376310)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**3 - 2*k**2 - 4*k + 1. Let f be a(3). Suppose -57*j + 100 = -812. Let b be (15*f)\/((-12)\/j). What is b rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3151879 is divided by 717?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -16. Suppose -w = 30 - t. Let o be -2*(w - 0)*-5. Calculate the greatest common factor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) - sqrt(154)*-3)\/sqrt(11))\/sqrt(7)*5.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 + h + 7. Let u be f(-6). Suppose 2*l - 17 = 3. Calculate the lowest common multiple of l and (2 - 3)*-18*u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, 12, 23, 34, 45?\n\"Answer: 11*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -34, -72, -122, -184?\n\"Answer: -6*u**2 - 8*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 34*t**2. Let k(x) = -2*x - 794. What is k(i(l))?\nAnswer: -68*l**2 - 794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 628 + -340. Let h = -288.5 + p. Let x = 0 - -0.1. Which is the closest to x? (a) h (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 21687289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajaj when four letters picked without replacement from {a: 5, j: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, v: 2, q: 1}. What is prob of sequence ssvq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 87164 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3 = d, 2*d + 2*v - 2 + 16 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l + 4. Let z be -12 - (0 + 0)\/(-2). Let w = -6 - z. Is v(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*t = 60*t + 270. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 614?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 2. Let t(j) = -3*j - 2. Let z(n) = 3*t(n) + 4*w(n). Differentiate z(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36691 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/(((-18)\/(-48))\/((-3)\/20))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -89. Let b(l) = g - l**2 + 4*l**2 - 39 + l**3. Let m be b(-2). Solve -2 = m*t + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2.1. Suppose 1549 = 15*p + 49. Let n = p - 104. Sort n, 2, v, 2\/7 in descending order.\nAnswer: 2, 2\/7, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245.6842 rounded to zero dps?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-14)\/(-4)) - 2. Suppose -b - 7*b + 16 = j. Solve -m = b*y + 5, 2*m + 5*y = -1 - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 4*v + 20. Let j be k(6). Let p(n) = 5*n + 14. Suppose -5*m + b - 24 = 0, 2*b + 17 = -m - 2*m. Let d(u) = 3*u + 9. What is j*d(l) + m*p(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(57)\/(-1*sqrt(3)) - sqrt(19) - (sqrt(19) + 0 + 4))**2.\nAnswer: 120*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -180*l**3 - 4*l**2 + 69*l + 4. Let s(z) = -181*z**3 - 5*z**2 + 77*z + 5. Let d(t) = 5*j(t) - 4*s(t). What is the second derivative of d(n) wrt n?\nAnswer: -1056*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/120*-3)\/(4\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from {x: 5, v: 7}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -392 - 250. What are the prime factors of (a\/8)\/(((-75)\/(-80))\/(-5))?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (207\/(-12))\/(-18*15\/2970*33).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 7*o**3\/3 + 4934. Let x(z) = -194*z. Calculate x(c(a)).\nAnswer: -1358*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + t + 9 - 12)*(t + 6 - 6) to the form b*t**2 + a*t + n and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 1, l: 1, s: 1, h: 1, b: 2}. What is prob of sequence bdbl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -18 + 18)*((-12)\/(-324) + 0).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1487, 5948, 13385, 23798, 37187, 53552?\n\"Answer: 1488*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -248.91 + 247. Let o = 0.09 - s. Let i = -0.8 + -0.2. Which is greater: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7 + 0 - 4 + 35*o - 4.\nAnswer: 35*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 26 - (1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 82*v - 1. Let x be o(1). Suppose z = 4*z - x. Let g be z\/2 - (-1)\/(-2). What is the highest common factor of 26 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/3*(-4473)\/2485 - 15?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 2104\/21*w**3 + 252*w + 264*w**2 + 44\/7*w**4 + 4\/35*w**5 + 105. Suppose p(m) = 0. What is m?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42374777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/12 and 67\/426438.\nAnswer: 852876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(4\/5)*y*y\/((y\/(y\/y**(-2\/21)))\/y)*((y*y**(1\/6)*y*y)\/y*y)**1)**(-6\/25) assuming y is positive.\nAnswer: y**(-1357\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(117) + sqrt(117) + (sqrt(117) + sqrt(117)*-3)*4 + sqrt(117))\/sqrt(9) + 2)*3.\nAnswer: -15*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*c = 2*c - 90, -y + c = 25. Let k be -3 - y\/5 - 2. Is k < 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 41897032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**3 + 5*w**2 - 5*w. Let x(u) = -8*u**3 + u**2 + 3*u + 2. Let f be x(-1). Let s(y) = 7*y**3 + 8*y**2 - 8*y. What is f*z(l) - 5*s(l)?\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 1:31 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyby when four letters picked without replacement from {p: 6, i: 3, y: 1, b: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)\/(z**(1\/6)\/z)*(z**1)**(31\/2)*(z*z**(-3)*z*z*z*z\/(z\/(z*z\/(z*((z\/(z*z**(-4)))\/z)\/z))))\/((z\/z**(-1\/2)*z*z)\/z*z)**(-32) assuming z is positive.\nAnswer: z**(379\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let h(g) be the second derivative of -g**3\/6 + 8*g. Determine s(h(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2400*j + 595*j + 596*j + 596*j - 34 + 601*j as n*j + l and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6272805219828 from -0.4.\nAnswer: 6272805219827.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 7.\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*b - 35*b. Suppose 7*t + 5 = 2*t. Suppose 4*u = n + 21, -5*u - 2*n + 19 = -17. Put u, t, 4, b in decreasing order.\nAnswer: u, 4, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2064403434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:29 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 630*z**3 + 6145*z - 150. Let p(w) = 17*w**3 + 166*w - 4. Give 2*a(n) - 75*p(n).\nAnswer: -15*n**3 - 160*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 137. Let i = x + -145.279. Let u = 0.067 + i. What is u rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.65 + 13. Let d = m - -0.15. Which is the nearest to 1\/10? (a) d (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2623*c + 3505*c - 276*c - 1165*c as j*c + t and give j.\nAnswer: 4687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1604, -2, 3 in increasing order.\nAnswer: -2, 3, 1604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13241131\/24 or -551715?\nAnswer: -13241131\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14806963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 339870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40330135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p + 2. Let l(w) = 7*w - 3. Let o(b) = 5*l(b) + 6*m(b). What is the units digit of o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = 4*i - 14*h + 12, 2*h - 9 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 5*v**2 + 3*v**2. Suppose -12*o = -34*o + 44. Let m(z) = -o*z - 2288 - 2286 + 4574. What is m(w(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.59. Let f = n - -5.09. Let z(h) = -h**3 - 16*h**2 - 16*h - 19. Let y be z(-15). What is the biggest value in y, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 7)*(-34 + 151 + 459)*(1 - 1 + 2)*(-2*g**4 + g**4 + 0*g**4) as r*g**2 + d + j*g + i*g**4 + v*g**3 and give i.\nAnswer: 10368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 844 or 846?\nAnswer: 846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 835307 divided by 11\nAnswer: 75937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 8. Suppose -3*f = -5*d + f + 6, 0 = 4*d + 5*f - 13. Suppose d*v = -3*v - u + 110, 2*v - 4*u = 22. What is the highest common factor of v and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 19*u + 27. Let a be m(-10). Suppose -4*f - 4 = -2*f. Let i = f + 5. Solve 3*x = 5*x + z + 8, a = -i*x - 4*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/4 + (-2)\/(-4). What is the tens digit of (-5)\/(5\/r + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g\/((g**(-1\/3)*g)\/g*g*g))*g**7)**(3\/8)*(g**(-2\/3))**(1\/12)\/(g*g**(1\/4))**7 assuming g is positive.\nAnswer: g**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 10011000100?\nAnswer: -10011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912494?\nAnswer: 2, 11, 19, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 - 3 = 0. Let n = x - 3. Solve -48\/7*k**2 - 2\/7*k**4 + 16\/7*k**n - 32\/7 + 64\/7*k = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 687923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 1. Suppose 0 = -4*g - 0*g. Let a be (2 - 1) + 0 + 0. Let f be (a + 3\/(-2))*g. Determine w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (2 - (-4 + 4)) - 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 + -1.66. Let i = -6.86 - v. Let s = -6.9 - i. Which is the third biggest value? (a) -4 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2 - (1 + 0)) + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 e when three letters picked without replacement from {e: 3, h: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppbb when four letters picked without replacement from ppbrblbbll.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 5*z**3 + 1303*z - 1303*z.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -15*a + 1. Let m be f(-1). What is the highest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 - 21346*x**4 - 10588*x**3 + 448346*x**2 + 651032*x + 213440 = 0.\nAnswer: -5336, -4, -1, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 23970?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40\/7 (b) 2\/2881 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 40, 0.5 in ascending order.\nAnswer: 0.01, 0.5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.63521547 rounded to 1 decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 8. Let k(a) = 7. Let n(i) = 4*g(i) - 5*k(i). Give n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*t + 16 = -6, -3*w = 3*t - 15. Solve w*c + 61 = 49 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 662985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2109*f - 14492. What is the remainder when 751 is divided by b(-7)?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*v + 16 = 0. Let r be (10\/v)\/(3\/12). Solve -2*b = 3*b + r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) 0.6 (c) 1\/4 (d) 0.5 (e) -0.2 (f) -78\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 54 - (13 + -1 + -1 + 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 256474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33616*r**3*y**2 + r**2*y**3 - 2642*r*y**2 + y**3 wrt r?\nAnswer: -201696*r*y**2 + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -4*o - 16. Differentiate -o*v**2 + 2 + 1 + 2*v**2 with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 12*r**3 + 14*r**2 + 30. Let i(u) = -5*u**3 - 7*u**2 - 12. Let d(t) = 5*i(t) + 2*n(t). Factor d(g).\nAnswer: -g**2*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3332203330 (base 4) in base 15?\nAnswer: 158e24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 7) in base 2?\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*g - 4 - 7, -3*q + 17 = 2*g. Calculate the smallest common multiple of g and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(-4*((4*(-1 + sqrt(1900)) - sqrt(1900))**2 - sqrt(1900)) + 0).\nAnswer: -136928 + 2000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 20, -4, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 24*p**2 - 51*p + 5. Let r = 8307 + -8281. What is x(r)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -96 (b) 0.0035 (c) 0.2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1831836*u**6 + 6595*u**2 + 35*u - 2.\nAnswer: -219820320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*a + 2*a + 2 - 2 + (-1 + 1 - a)*(1 - 1 - 2) - 2*a + 4 - 4 + (-1 + a + 1)*(4 + 0 - 5) to the form f*a + q and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.404 * 0.3\nAnswer: -0.7212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 878*s - 1609*s + 354*s + 608*s to the form z*s + q and give z.\nAnswer: -1525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19632 by -3.\nAnswer: 6544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 17 - (0 + 34)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -2*(2 + sqrt(162)))**2 - (-2 + sqrt(162) + 1)) + -2 + -4.\nAnswer: 63*sqrt(2) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 + (-5 - 29) + (20 - (5 + 6))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41680729271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -48, -5, 0.06, -0.206, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1919 and 11362.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*l - 177*l - 2*q + 25416 = 0, -l + 5051 = 5*q. What are the prime factors of l?\nAnswer: 2, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0, 3, -4, 14162, -12 in increasing order.\nAnswer: -12, -4, 0, 2, 3, 4, 14162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 137. Determine r(-34).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -60.12. Let s = c + 0.87977. What is s rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11458 - 11458. Solve h = 15*s - 21 + 141 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 115?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/2, -512, 4, -4\/21, -0.2 in decreasing order.\nAnswer: 4, 3, 1\/2, -4\/21, -0.2, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (448\/48)\/((-48)\/72) + 5\/(-10)*196?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 48*m**3 + 2*m**2 - m. List the prime factors of i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 - 2*t. Let f(b) = -15*b**2. Give f(m(q)).\nAnswer: -375*q**4 + 300*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ree when three letters picked without replacement from {e: 5, r: 8}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g + 31*g - 42*g = 70. Solve -h + 2*m = g, -5*h = 59*m - 56*m - 30 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/(1\/3057). Let d = 1685 + h. Suppose -8*o + d = 146. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8607785 is divided by 782524.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 994.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5*d**2 + 7*d + 1. Let q = 10 - 4. Is j(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -18. Let k = 41134351\/25 + -1645680. Let g = k + 306. Which is bigger: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/1*31\/(-124). Suppose 42 = -49*b + 50*b. Put 2, i, b, 3 in descending order.\nAnswer: b, 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -10 + 13. Let c(a) be the first derivative of -a**3\/3 - 7*a**2\/2 - 3*a + 8. Calculate c(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1454819? (a) 0 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292 by -4.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6154 and 19\/9050.\nAnswer: 153850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20963?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1211 (base 4) to base 14\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w - 850 = -5*w + 31*w for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*n**2 - 14*n**2 - 19*n**2 + 84*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -6.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31502 times 1\nAnswer: 31502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16679*t**4 + 29778?\nAnswer: 66716*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15061617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2\/3 - 17\/3*o - 7\/3*o**3 - 22\/3*o**2 = 0.\nAnswer: -2, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8 minus 14154.21?\nAnswer: -14145.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 23 - 745 = 0. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11618749 is divided by 1581.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -0*t + 5*c, 4 = 3*t - 4*c. Let r be -1 + (2\/4 - 11\/(-10)). Sort 4, 2, t, r.\nAnswer: t, r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.3 (b) 2\/3 (c) -1\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 49*a + 43 + 2*a - 12*a. Does 12 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*w = 111*w - 2150 + 9710 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 1\/143025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 3)*(2 + 4 - 4)*(45*x - 45*x - 27*x**3)*(-4*x**2 - 4*x**2 - 4*x**2).\nAnswer: 1944*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*a - 11*a - 20*a - 10*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5503906351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -7. Suppose -4*g + g = 2*w - 23, 3*w = p*g - 13. Solve 0 = 3*o - 4*o + w*l + 20, 2*o - 5*l - 28 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 1. Let h(i) = -2*i**2 + i**2 - 2 + 21*i - 22*i. Let w = 13 - 10. What is w*r(t) - h(t)?\nAnswer: t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/23)\/(m\/(m\/m**(5\/4)*m))*(m**(1\/33))**35 assuming m is positive.\nAnswer: m**(1933\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2768 and 604116?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 5*t - 40. What is the remainder when 121 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -0.5, 2\/193, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5397879 greater than or equal to -5397879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1263*k**4 + 12*k**3 + 1999. Let m(c) = -1265*c**4 + 9*c**3 + 2002. Let w(j) = -4*m(j) + 3*p(j). Differentiate w(n) wrt n.\nAnswer: 5084*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646294 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38737, 77477, 116217, 154957?\n\"Answer: 38740*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxds. What is prob of picking 1 x and 1 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from eblbgglbbgg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2. Let l(o) = 3*o - 1436. Give l(k(n)).\nAnswer: -6*n**2 - 1436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401887\/166 + 2421. Is 1 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {h: 2, n: 1, r: 1, w: 1, y: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 + 58565*u**3 + 233843850*u**2 + 204062380480*u + 203828595200 = 0.\nAnswer: -1648, -1, 15010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 43762322?\nAnswer: -43762321.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/102*((-4212)\/(-520))\/((-9)\/12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7825 and 4452425.\nAnswer: 4452425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 13 + 501 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose -4*j = -299 + 147. Suppose -j*g + 176 = -27*g. Solve -4*v = -d*v + g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (16 - ((-13258)\/(-490) + -11))\/(1 - 2)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7 - 23. Is 4\/(s\/(-5))*26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23238011 to the nearest integer?\nAnswer: 4821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 2\/5 (c) -2\/15 (d) -4 (e) -199\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146849012 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -506 + 1a?\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 + (-7)\/(-5). Let k(d) = 3 - i + 1 + 0 - d. Calculate k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*m - 2*x, 3*m + 4*x = 7*m - 36. Suppose 0 = -3*p + 2*p + 2, 2*v = -4*p + 40. Suppose 2*f = -2*f + v. Solve -2*s + 1 = -3*i - m, s = f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24999*6.94.\nAnswer: 1.7349306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*u = -0*u + 10, f - 5*u = 12. Let l = 13 - 6. Which is the second biggest value? (a) l (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32019682*v + 64039417*v - 32019735*v - v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, 3\/8, 2\/11, -105 in decreasing order.\nAnswer: 1, 3\/8, 0.2, 2\/11, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -21. Let o(f) = -2 - 24*f - 6*f + 9 - g. Is 9 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Suppose -5*i + 34 + 291 = 0. Let u(t) = -195*t + 70*t + i*t + 70*t. What is p(u(s))?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k + 11*k**2 - 6*k**2 + 2*k.\nAnswer: 5*k**2 + 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 + -60. Let q = -42 + g. Solve q*t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = -5*p. What is the smallest common multiple of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 32, 48, 70?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2586041552 or -2586041553?\nAnswer: -2586041552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*r**2 - 15*r + 18*r + 8 + 1 - 2 wrt r?\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 + 14)*(-2)\/(-2). Let a(x) = -2*x**2 + x. Let o(n) = 1 + 3*n - 2*n + 0*n**2 + n**3 - n**2. Let k = 23 - 25. Determine k*o(h) + t*a(h).\nAnswer: -2*h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099 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: Let a = -16 + 12. Let v(c) = c + 5. Let m be v(a). Does m = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*x - 114*x - 55*x.\nAnswer: -129*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 140167.72 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 40*o**3 + 7*o - 6. Let l be b(1). Suppose -g + l = 5*j + 21, -10 = 2*j + 4*g. Solve -3*i = y - 12, 5*i + j*y - 4*y = 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**3 - 13*g**2 - 32*g - 33. What is the remainder when q(-4) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06014475 + -0.0601. Round c to six dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 8:59 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094030.\nAnswer: 2, 5, 7, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m**2 + 2*m - 1. Is b(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*j**2*r*s + 4*j**2*s - 74257*j*r*s - 606874*r*s + 75*s wrt j.\nAnswer: 78*j*r*s + 8*j*s - 74257*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o = 41*o - 12. Suppose 0 = o*s - 20, 3*l + 25 = 3*s - 4*s. Sort -1, l, 3 in decreasing order.\nAnswer: 3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 3863 - 3239 = 0 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.62 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 5. Let d(i) = 3*i + 8. Let c be -2 - -12 - (-3)\/(-3). Suppose -3*k = -c - 15. Let b(w) = k*g(w) + 5*d(w). Let v(p) = -p**2. Give v(b(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/60 + 5*n**4\/24 + n**3\/6 + 16*n**2 - 3. Give i(9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38587941.\nAnswer: 3, 7, 29167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + -21.7. Let l = 0.4882788 - -22.5116762. Let y = l + o. What is y rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 - 363*g\/7 + 1468\/7.\nAnswer: -(g - 4)*(g + 367)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12140 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*(x**(-6)\/x*x)\/x*x)*(x*x\/(x*x\/(x*x*x\/x**(-6)))*x)\/x*(x**0\/x)**(1\/50) assuming x is positive.\nAnswer: x**(749\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.352925t in milligrams?\nAnswer: 6352925000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -242.99 times 7\nAnswer: -1700.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2. Let p(t) = 5*t**2 - t - 5. What is -3*j(w) + p(w)?\nAnswer: 2*w**2 - w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*f = f - 98, 3*w - 266 = -2*f. Suppose 2 + 7 = 3*p. Suppose -2*v - w = -p*v. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 24*b = -4*k, -8*k + 8*k + 5*k = 11*b + 17*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, 1, -9, 3, -0.1, -1\/4 in descending order.\nAnswer: 3, 1, -0.1, -1\/4, -9, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3285 is divided by 157?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.83 rounded to 0 dps?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 93*y - 3 + 72*y - 18 - 168*y. Let g(a) = -1 - 1 - 3 - a. What is -21*g(x) + 5*h(x)?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z - 210. Let k = 26 - z. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbubbbbbbubuub. Give prob of picking 3 u.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Let s = -2.7 + y. Let t = 40686 + -40688. What is the second smallest value in -4, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 310727 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, i: 1, w: 5, c: 9, h: 4}. Give prob of sequence ihew.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 5*h**3 + 0*h**3 + (-4*h**3 + 3*h**3 + 2*h**3)*(7 - 5 + 0) to p*h**3 + z*h + l + g*h**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 123*l**3 - l - 19 + 307*l**3.\nAnswer: 430*l**3 - l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -55798233 divided by 20689\nAnswer: -2697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**7\/21 - 2*x**6\/5 + 6*x**5\/5 - 5*x**4\/3 + x**3 - 342*x. Determine t so that g(t) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41170.89 seconds to milliseconds.\nAnswer: 41170890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (-2 - 12) + 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 124184.9273 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1969*y + 1669*y = 3600 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((-8)\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-39)\/(-52))\/(6\/40) - 50. Which is bigger: -44 or o?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f - 7 + 8*f**2 - f**3 + 0 + 0*f**2. Is s(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-4)*2\/1. Let n = d + 11. Solve -3 = 3*u - 5*b, n*u - b = 7*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 10*l**2 + 14*l + 7. Let v be y(-7). Suppose m + v = 15*m. Let r(c) = 5*c**2 + 30*c**2 - m*c**2. Let f(h) = -h**2. What is f(r(q))?\nAnswer: -961*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 2 - 0) + 1. Suppose -a*t + 35 = -0*t - 5*m, -2*t - 5 = 3*m. Solve t*o = 5*s + 15, -s + 1 = 2*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 9:43 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5593)\/42)\/47)\/(2\/12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -5*h + 5*n, 550581*n = 550579*n + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282, -1197, -2714, -4827, -7530, -10817?\nAnswer: -14682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l**3 - 7*l**3 + 6*l**3)*(12 + 6 + 2) + (3*l**2 - 2*l**2 - 4*l**2)*(3 - 3 - 4*l) in the form x*l**2 + q*l**3 + t + p*l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13523, -13479, -13405, -13301?\n\"Answer: 15*x**2 - x - 13537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171652448.\nAnswer: 2, 11, 487649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 - 16*k + 10. Let y be d(-8). Let j be (-50)\/6 - (-20)\/(-30). Let n be (-15)\/(-1)*(-24)\/j. What is the greatest common factor of y and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1120 + -3412\/3. Calculate the common denominator of h and (-381)\/(-2)*2\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -65. Suppose 5*s + r = 10, -r - 2*r + 12 = -x*s. Calculate the smallest common multiple of 4 and (-1432)\/(-72) - s\/(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((5 + -3)\/6)\/((-3)\/(-279)). Let r = c - 27. Let t be 39*1\/((-6)\/r). Is -26 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:21 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q + 2*q - 13*q. Let y(j) = 2*j. What is f(y(i))?\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 divided by -907?\nAnswer: 340\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 181*d**2 + 4*d - 6. Let f be v(-4). What is the hundreds digit of 1\/(5754\/f - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*h**2 + 3*h + 579*h**2 - 383*h**2 - 139*h**3.\nAnswer: -139*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) - 2\/4. Let v be ((-45)\/20)\/(3\/2). Let h = -7\/6 - v. Is h at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25972 divided by -12986.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106000 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 583559807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -2603*k**8\/56 + 3127*k**4\/4 - 4*k - 641. What is the third derivative of r(t) wrt t?\nAnswer: -312360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:25 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 93 (b) 1.898 (c) 0.2 (d) -5 (e) -1\/8 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240904503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9933420 divided by -2\nAnswer: 4966710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/93 and -21\/10?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a factor of 446970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39540, 158044, 355550, 632058, 987568?\n\"Answer: 39501*t**2 + t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 - 15 - 26 + 2 + 14*k + 12 as o + v*k and give o.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295548 divided by -6.\nAnswer: -49258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1508076 is divided by 376843.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020220112021112 - -21?\nAnswer: -1020220112021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 + 2121?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17465 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a + 0 + 0)*(2 + 3 - 6) + 1 - 1 + 4*a)*(-2 + 1 + 0).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147477 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*i**4 + 5*i + 2 - 473*i**2 - 1103*i**2 - 14*i**3 + 1578*i**2 wrt i?\nAnswer: -216*i - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c - 76. What is o(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 4*b**2 + 13*b - 1. Determine u(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -3064\/1003?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y + 3. Let u = y - -3. Suppose 2 = 3*n - 16. Calculate the highest common factor of u and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3452, 2942, 2426, 1904?\nAnswer: 1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 12*w**2 + 2*w + 15. Calculate the lowest common multiple of b(12) and 33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37342*h**4 + 3*h**3 - 340*h**2 - 2*h - 17?\nAnswer: -896208*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/18 > -394502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0546244984 to six dps.\nAnswer: -0.054624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)*l*l)**(6\/7))**(-1\/11)*(l**(-1)\/l)\/l*l**(-1\/5)*((l*l\/l**(-2\/13))\/l)\/(l**(-4)*l) assuming l is positive.\nAnswer: l**(62\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)\/(n*n**(-9))*(n**(-6\/17)\/n)\/(n*n*n**8))**(1\/71) assuming n is positive.\nAnswer: n**(-261\/1207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -144 - 66. Let v be 276\/a - 8\/14. Let n(y) = y - 2. Let c be n(v). Solve -2*w + c + 0 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12952.7 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 - -86. Solve x = 6*x - 5*h + 20, -q*x - 2*h = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -414.1 from -781184.\nAnswer: -780769.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from kvxovkkovvvkxoxx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 3, s: 4, j: 2, p: 1, c: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(((-45)\/6)\/(-3)). Let k(h) = -7*h**3 + h**2 + 8*h**3 + 88 - h + f*h. Is k(0) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 65*l - 657. What is k(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 16*g - 17. Calculate l(14).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 13 - (-3 - 0 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*u = -53, -2*x - 14*u + 17 = -19*u. Solve -x*t + 2*t = 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (18 - -5) - (-13 - 0 - -9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*k - 3*s - 2911, -2*k = 5*s + 1918. Let o = 1222 + k. Calculate the highest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -1, -2, 6\/7, 246, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 306 + -293. Suppose -s*o + 106 + 830 = 0. Calculate the highest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*c = 16, v + 0*c + 20 = -5*c. Let m(p) be the second derivative of -1\/66*p**4 - 1\/55*p**5 - p + 0 + v*p**2 + 1\/33*p**3. Find z such that m(z) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6200 - -13765. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31809 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5199, 10398, 15597, 20796?\n\"Answer: 5199*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 23. Let l(t) = t**2 - 2*t - 9. Let n(p) = p**2 - 3*p - 8. Let c(w) = -3*l(w) + 4*n(w). Let x be c(z). Let g(a) = a + 3. What is g(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34440 + 5?\nAnswer: 34445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130166, -130252, -130338?\nAnswer: -130424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357*f*m**2*n*u**3 - f*m**2*n*u**2 - 4*f*m*n*u + 4*m**2*n**3 - 28*m*n**3 + 13*m*n*u**2 - 21*n**3*u**3 wrt u?\nAnswer: -2142*f*m**2*n - 126*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2332 - ((20 - 11) + -1 + -3)?\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397967484 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714 is divided by 200.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2. Let j(y) = -238943*y**2 - 22 - 3 - 2*y + 238919*y**2 - 13. Give j(b(i)).\nAnswer: -96*i**4 - 4*i**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(612))**2.\nAnswer: -4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -297\/5 > -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*c = 59*c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/15 (b) 0.3 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - 4.4. Let d = -2.8 - r. Let s = 0.9 - 1. Which is the smallest value? (a) d (b) 3\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227010.5 minutes to milliseconds.\nAnswer: 13620630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -10*f - 17. Let m be r(-2). Differentiate 23*c**3 - 13 + 12*c**m + 24 + 15 with respect to c.\nAnswer: 105*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3447 (base 10) to base 13\nAnswer: -1752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -2, -50, -73 in ascending order.\nAnswer: -73, -50, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 5*r = -2*p + 165, 0 = 4*r - 0*r for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-9)*p\/(p\/(p*p**11))*p assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 - 18*c**2 - 31*c - 18. Let k be s(-6). What is the greatest common divisor of 189 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465516391 to the power of 1\/2, to the nearest integer?\nAnswer: 49654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1200)\/1050*(-12)\/8*7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55973 and -149.\nAnswer: 55824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, x: 1, p: 2, k: 2, y: 2, u: 1}. What is prob of sequence xkp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/60 - 5*a**4\/24 - 5*a**3\/6 + 2*a**2. Let t be c(6). Suppose 0*x - 15 = 3*x. Put t, 5, x in increasing order.\nAnswer: x, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**5 + t**4 - 19*t**3 + 35*t**2 - 6*t + 4. Let j(m) = -m**3 + m**2 - 3*m - 1. Let p(b) = -c(b) - 4*j(b). Find h such that p(h) = 0.\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*t**4 + 7*t**4 - 6*t**4 - 7*t**2 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - j**2 + 3*j + 1. Let d be g(-2). Suppose 4 + 2 = c - 4*r, -3*r = -c + d. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 11*f**2 + 15*f + 51. Let w be z(-10). Let r(h) = 3*h**3 + h. Let s(p) = -6 + 7 - 1 - p**3. What is w*r(g) + s(g)?\nAnswer: 2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10932 - -10937. Let j(p) = -5*p + 6. Let v be j(5). Which is the fourth biggest value? (a) h (b) v (c) 1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39, 59, 63, 45, -1, -81?\n\"Answer: -f**3 - 2*f**2 + 33*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -8)*(-255)\/(-612)*12. Calculate the highest common divisor of s and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-12)\/14*(-11 + 4). Does 6 divide s\/(-5)*390\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13 + 4236\/(17 + -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 15*r**2 - 13*r + 14. Let f be v(-14). Let l be f\/(2 - 0) - 1. Let w be 1 + -13*(l - 0). What is the highest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1066 in 1.647, 2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.92 and 0.3.\nAnswer: 5.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6459 = 10*c - 31049. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15379 (base 10) in base 15?\nAnswer: -4854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 116 + 49 + 33 + 11776*b)*(0 + b**4 + 0).\nAnswer: 11776*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13.33? (a) -3 (b) 1\/3 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 0*f**5 - f**5 + (1 + 2 - 2)*(-3*f**5 - 2*f**3 + 2*f**3).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0 - o**2 + 0)*(-334*o**3 + 71*o**3 - 133*o**3).\nAnswer: 396*o**5 - 396*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 + 108. Suppose -3*m - 3*s = -b, 3*m = -5*s + 4*s. Let p(t) = -14*t. Give p(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**7\/18900 + b**6\/5400 + b**4\/2 - 8*b. Let t(q) be the third derivative of j(q). What is k in t(k) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -1, -2\/45, 27, 4?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/36 + 10*o**3\/9 - 7*o**2\/2 - 362*o. Determine r so that l(r) = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31191 divided by 21\nAnswer: -10397\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 144, -3845, 0.1, -3, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 616. Let d(i) be the third derivative of i**4\/24 + 2*i**2 - 92. Calculate d(f(v)).\nAnswer: v**2 - 616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 11:37 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -26, 2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.9307 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(225))\/((sqrt(15) + sqrt(45)\/sqrt(3) + sqrt(15))\/sqrt(5)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2907 - -0.2425. What is p rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1702 times -0.23?\nAnswer: 391.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c222 - -7?\nAnswer: 3c229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1484 = 2813*s - 2760*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**3\/5 - 168*h**2\/5 - 20478*h\/5 + 21168.\nAnswer: 6*(h - 72)*(h - 5)*(h + 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*d**2 + 7*d**3 + 78*d**2 + 5*d**3 - 128*d - 136*d + 262*d.\nAnswer: 12*d**3 + 141*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7377.987mm to centimeters.\nAnswer: 737.7987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 5. What is the common denominator of 0 - 237\/30*1 and 4\/u - (-1547)\/560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q = -195*q - 446 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2145\/330)\/(32318\/(-44)).\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/18)\/(2\/12). Suppose q + 72 = -p*q. Let v = q + 38. Which is the third smallest value? (a) 4 (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 4*j**2 - 5*j + 2. Suppose 15 = 4*u + 5*l, -5*u + 0*l + 21 = 4*l. Let q be c(u). Let r be ((-6)\/(-2))\/(q\/2). Solve 0 = m + r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**6\/20 + 11*t**4\/12 + 28*t**2. Find the second derivative of f(x) wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 5*d**3 - d**3)*(154 - 639 - 274) + 2*d**3 + 0*d**3 - d**3 + (0*d**2 + d**2 - 3*d**2)*(-2*d + 4*d - 4*d).\nAnswer: -2272*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3 + 25695*r**2 - 1684041*r + 10530261 = 0. Calculate r.\nAnswer: 7, 59, 8499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19859775 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:24 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 35*r**2 - 7*r**2.\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 9 = 3*o, 308*o + 3*w - 15 = 313*o - 2*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3 - 4) - -3. Suppose -o*p + 68 = -5*z, -5*p - 6*z + 118 = -4*z. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-291)\/(-90) - (-2)\/(-5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 7*i - 5*z + 961, 4*z + 2845 = 3*i. Let y = i - 648. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - x + 0 - 2 - 11 - 1584*x + 1580*x + (3 + 1 - 6)*(2*x + 2*x - x) in the form v*x + r and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 713 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 0*r - r + (-r + r - 2*r)*(-6 + 1 + 3) - 6*r + 3*r + 2*r + 20*r - 3*r + 10*r + (r - 5*r + 3*r)*(9 + 20 + 2) in the form d + k*r and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.5 + 2.5. Let s = -1 + 0. Which is the closest to s? (a) -5 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000060364 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*p + 2*p - p)*(7 + 3 - 1) - 5 + p + 5)*(2 + 1 - 5)*(-15 + 28 - 17) as r + d*p and give d.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*x - 8*o + 18, o + 2*o - 10 - 8 = -9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (18\/12)\/(0 + (-9)\/(-6)). Solve 0 = -s - j - 12, k*j = -3*s + 9*j - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - n + n)*(4*n**3 + 3*n**3 - 8*n**3 + 2) + 0*n**3 + 3*n**5 + 0*n**3.\nAnswer: 5*n**5 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -7. Let x(c) = c**3 + 24*c**2 + 22*c - 2. Let b be x(-23). Let f = b + -18. Sort -4, v, f.\nAnswer: -4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (18 + -14)) + 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/5)*z\/(z**(-37)\/z)*(z*z\/(z**17*z))**(-2\/93) assuming z is positive.\nAnswer: z**(18574\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3579 and 0.2.\nAnswer: -715.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 264399.\nAnswer: 3\/88133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 11*x + 11. Let c be j(5). Suppose 8*b - 4*p = c*b + 166, 0 = -3*b - 3*p + 231. List the prime factors of b.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*v + 16 = 0. Suppose z - 429 + 77 = 5*o, 0 = z - v*o - 352. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.8651 years in centuries?\nAnswer: 0.468651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 44?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1112 and 31\/3892.\nAnswer: 7784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 141838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -2*i + 16, -1855*i + 35 = -3*o - 1857*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x**2 + 2*x - 7. Suppose 0 = 8*w + 69 - 21. Let q = -27 + 29. Let s(m) = -2 + 2*m + 1 - 3 - 8*m**q - 2. What is w*z(t) + 7*s(t)?\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(21\/18)*(-4)\/(-6). Suppose -r*n = -2*n - 54. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*l, -5*l - 95 = -5*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 2*k + 36 + 3*k to the form g*k + x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + g**2 + 3*g**2)*(-12 + 3*g - 5*g + 3*g).\nAnswer: 2*g**3 - 24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -40*r**2 + 1407*r - 247. Give c(35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 11*k + 1. Let f(g) = -122*g**2 - 35*g + 4. Determine -3*c(h) + f(h).\nAnswer: -125*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -12197 < -12186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-12) - (40\/3)\/2. Let l(g) = 12*g**2 + 4*g + 7. Let i(q) = -17*q**2 - 6*q - 10. Let p(z) = v*l(z) - 5*i(z). Give p(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 29*x - 4 - 61*x + 31*x + 3. Suppose 4*k - 2 - 4 = -3*o, k + 4*o = -5. Calculate j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5053813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 138?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 549, 956, 1375, 1806, 2249, 2704?\n\"Answer: 6*t**2 + 389*t + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 9, -1336, 4.7, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 + 5*x + 19. Determine o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l - 2. Let z be i(-6). Suppose 3*f = -2*f + z. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1144 - -27?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 6*d + 17. Let v be m(-8). Let y be 45\/(-6)*(v - -1)\/(-1). Suppose 11*w = y*w - 8. What is the closest to w in 5, 0, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743865.013 rounded to the nearest one thousand?\nAnswer: 744000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n + 36873 = -23*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673927747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9608.029063 + 10201.02904. Let j = k + -593. What is j rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 - 2 = 0. Let k(l) be the third derivative of -l**4\/6 + l**3\/3 - 27*l**2. Let b(y) = 13 - 1 - 10 - 3*y. Calculate m*k(s) - 5*b(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -168 - -39. Let y = k + 129.9. Which is the second smallest value? (a) 1\/2 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -17, -5\/8, 3, 44?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 3, -3 in descending order.\nAnswer: 12, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.63186*-0.05.\nAnswer: -0.031593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/3 - 82*g\/3 + 28 = 0. What is g?\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i + i. Let x = 7 + i. Let s be 10\/9 + -1 + (-2)\/6. Which is bigger: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75108 is divided by 234.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517*q + 261*q + 266*q = 0. Let j(s) be the first derivative of 4\/21*s**3 + q*s - 3\/14*s**2 - 1\/28*s**4 + 29. Determine w, given that j(w) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -200, -190, -158, -92, 20, 190, 430, 752?\n\"Answer: 2*a**3 - a**2 - a - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - k**3 - 3*k**2)*((2 + 3 - 1)*(-2*k - 2*k + 2*k) + (-3*k + 2*k + 2*k)*(4 - 3 - 2) + (-2 - 5*k + 2)*(-5 + 1 - 2)) + 2*k - 2*k - k**4.\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m. Let d(f) = 13*f**2 - 7*f + 1. Let k(n) = -d(n) + 4*h(n). Differentiate k(j) with respect to j.\nAnswer: -18*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 11:03 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958*n - 45080 + 1970 = 0 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 62 - 62)*(5 - 2*n - 5)*(-n**2 - 2*n**2 + 0*n**2).\nAnswer: -462*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5031 + 47*g**2 + 5031)*(2 + 0*g**2 - 2*g**2 + 0*g**2).\nAnswer: -94*g**4 + 94*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-4 - (6 + (-16 - -8 - -12)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 57*l + 141 - 419 + 141.\nAnswer: -57*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**3 + 30*p**2 - 73*p - 12. Calculate x(-5).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 41*a - 8*a. Suppose b - 3*s = -6 + 19, 4*b + 2*s = 66. Calculate the least common multiple of a and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75204.44mg?\nAnswer: 75204440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.385071 to two decimal places.\nAnswer: -33.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -38\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -267.2 - -267.20000542. Round a to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -2*n + 36, 1630*r = 1627*r - 65*n + 1170 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 3*z + 3*a = 8, 2*z + 14 = -a. Let i(s) = s + 8. Let q be i(z). Suppose -4*w + 278 = -x, -q*w - 2*x + 332 = 118. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 123.9043 and 5.\nAnswer: 619.5215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7210 - 7208.2. Put k, 5, 0, 1\/35, 1\/9 in ascending order.\nAnswer: 0, 1\/35, 1\/9, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d10 + 30e?\nAnswer: 711e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 + -2.7. Let l = 1.60000085 + n. What is l rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16 (b) -3 (c) -30 (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640870?\nAnswer: 2, 5, 19, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d - 41*d - 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-18) - (-3036)\/54. Let d = 35928 - 35912. What is the greatest common divisor of d and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 312253.\nAnswer: 30\/312253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 10*v - 13. Give b(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 15904*f + 35702*f + 28623*f + 2.\nAnswer: 48421*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3636, -3, 18485 in decreasing order.\nAnswer: 18485, 3636, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*d + 6, 0 = 3*j - 0*j + 5*d - 1. Let c = 274 + -271. Solve -j*x = -c*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 + 1. Let l(p) = 22*p**2 + 3*p - 548. Let t(j) = d(j) + l(j). What is the first derivative of t(w) wrt w?\nAnswer: 34*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 5*d + 3. Let x be w(4). Let g = x + -13. Let o(n) = -n**2 - 7*n - 2. What is the units digit of o(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43277 - -43276.96948. What is r rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101616437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(15\/(-3) - -4). Let y(c) = 70*c**2 + 3*c - 3. What is the units digit of y(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3) + 320\/60?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 354 + 354.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 610*i - 227*i - 225*i - 207*i)*(-2*i - i + 2*i)*(3 - 3 + i) to v*i**3 + j + c*i + b*i**2 and give v.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7866 - 7871. Which is the closest to -2\/3? (a) -3.2 (b) -16 (c) 0 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -1 + 1\/15*w**5 + 16\/3*w**3 + 3\/2*w**4 - 2*w**2 + 0*w. Determine a, given that r(a) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1344, -2073, -2802, -3531, -4260?\nAnswer: -4989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.5 (b) -0.29 (c) 7741 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 2928 = -157*o - 948 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Suppose -32 + 2 = -5*q. Let n(h) = h**2 + h + 1. Let r(f) = -3*f - 1. Let v(l) = -3*n(l) - 3*r(l). Give q*x(p) + v(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -33. Let a = -23 + 21. What is the closest to q in 1, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*y + y + 2*y + (5 - 1 - 3)*(0 + 0 - y))*(-248 - 242 + 7 + 48 + 4) to the form g + j*y and give j.\nAnswer: 16378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**0*g**1*g*g)\/(((g**(-2)\/g)\/g)\/((g\/(g\/g**(-4)))\/g)) assuming g is positive.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k + 0*k**3 + 0 + 2*k**2 + 7\/12*k**4. What is the first derivative of u(t) wrt t?\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + p**2 - 162*p**4 - 34*p**4 + (-1 - 2*p + 1)*(-2*p**3 + p**2 - p**2) - 3*p**4 + 2*p**4 + 3*p**4 + p**4 - 4*p**4 + 2*p**4 + 4*p - 2*p**4 - 4*p.\nAnswer: -193*p**4 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11673 greater than or equal to 9987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 203479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1904 is divided by 711.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0)\/(1 + 1). Suppose t + 3*j - 2 = 13, -3*t + 2*j - 10 = 0. What is the third derivative of -4*o**2 + 5*o**6 + f*o**2 + t*o**2 wrt o?\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j + 3*q + 81, -5*q = -j - 1. Suppose 0 = -20*l + j*l - 216. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 8*m - 18. Let g = -1 + m. Calculate the remainder when 111 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - 10 - (-16 + 7) - -7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 22*v - 82. Let t(c) = 32 + 22 + 13 - 42 + 8 - 9*c. What is 5*f(w) + 12*t(w)?\nAnswer: 2*w - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 12 + 929 = 0. What is the remainder when p is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -4, 1.6232, 0.5, 43?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -208\/7. Suppose -4*v = -10 + 6. Which is bigger: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5\/b)\/b**4)\/(b**(2\/11)\/b*(b\/(b*b**(-2\/15)))\/b) assuming b is positive.\nAnswer: b**(278\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 13. Suppose 115 = 2*h - 31. Let v = h - 40. Calculate the highest common divisor of k and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 1044 = -1053 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13779469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020369019 rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**3\/6 - 13*j**2\/2 + 7*j. What is n(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 5*d + 8. Let a be b(9). Suppose -x = -4*t + 32, 4*t - 3*x - x = a. Suppose 4*u + 18 = t*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1921889 and 97.\nAnswer: 1921986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 + 706 - 525 + 47969*u.\nAnswer: 47969*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 56. Calculate the greatest common divisor of x and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6)**(-28)\/(((c*c\/c**(2\/5))\/c)\/c**1) assuming c is positive.\nAnswer: c**(-838\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7267595 + -24.9.\nAnswer: 7267570.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/6 - 73*r**4\/6 + 75*r**3\/2 - 227*r**2\/6 + 38*r\/3.\nAnswer: -r*(r - 1)**3*(r + 76)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by 4.\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 3*i + 34. Let j be r(-7). Which is the biggest value? (a) 10 (b) -2\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 1, z: 1, i: 4, w: 1}. What is prob of picking 3 i and 1 s?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101490344 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c1 - -3?\nAnswer: 5c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 54 - 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19467596 by -1.\nAnswer: 19467596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 26*p**3 + 1. Suppose 18*z - 148 = -22. What is the remainder when b(1) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 2211\/99)\/(-3*1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-12)*(1 - 7). Let w(s) = s**2 - 10*s + 11. Let g be w(9). Let y(a) = -4*a - 5*a + o*a**g + 6*a. Calculate y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 384210336 and 0.\nAnswer: 384210336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 918 and 117963.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(119) + sqrt(119)*-1) - sqrt(119))*1*1)\/((sqrt(448)\/sqrt(8))\/sqrt(8) + sqrt(112)*5).\nAnswer: -sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 5*h**3 - 2726*h**2 + h + h + 2477*h**2 to a*h + p*h**3 + z + s*h**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 262.47 or -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7409 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -19. Let k be -56 - (r - 35\/5). Let p = k + 91. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44352?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcccvlcccvllcv. Give prob of sequence cvl.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**3 + r**2 - 5*r - 3. Suppose 40*t = 42*t - 6. Let c(y) = -11*y - 6*y - 1 + 2 - t*y**3 + 19*y. Determine 5*c(p) + 2*v(p).\nAnswer: -p**3 + 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.403589 centuries to years.\nAnswer: 40.3589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 48 = 6*u. Let m(o) = 3*o + 2*o + u - 3*o + 0. Let p be m(-5). Solve 5*i - p*i - 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701 + 2183 + 36 = 365*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -0*o + 2*o + 6, 0 = j - o - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538380256?\nAnswer: 2, 7, 6867769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32390 - 22510. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30\/19 + 1331\/855. Which is smaller: f or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2 + 7*l - 22. Let o be u(-2). Sort 5, o, 3, 13 in decreasing order.\nAnswer: 13, 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39854.28 litres in millilitres?\nAnswer: 39854280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:58 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122401011 + -10?\nAnswer: 122401001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (sqrt(75)*2 + sqrt(75) - sqrt(75))) - (5 + -6*sqrt(75)*2))**2.\nAnswer: -6960*sqrt(3) + 44041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 13, 0, -5 in increasing order.\nAnswer: -5, -4, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3481874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + 0 + -4)*1 - (sqrt(80) + -5 - (2*sqrt(10))\/sqrt(2)))**2.\nAnswer: 2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 29*u + 25. Let f be s(-20). Let p = -170 + f. Suppose 2*h + 68 = 3*g, -4*g + h + 54 + 45 = 0. What is the remainder when p is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1769994 and 48150?\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.501 * -0.1\nAnswer: 0.0501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3999989 micrograms to nanograms.\nAnswer: 399.9989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {i: 1, n: 3, y: 5}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 3:36 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3*1)\/3)\/((-14)\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 15. Let y(x) = 2 - x**o - 1 + 70*x**3 - 69*x**3. Calculate y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**4*r - 125*j**4 + 3*j**3*r - 11*j*r - j - 20 wrt j.\nAnswer: 48*j**2*r - 1500*j**2 + 18*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10479432427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193908?\nAnswer: 2, 3, 11, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 16\/24 + (-46)\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 988 (base 14) to base 10\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 47 - 8 + 18*t - 19 - 19. Let d(u) = 7*u. What is -2*a(x) + 5*d(x)?\nAnswer: 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f + 11 = -7. Sort 5, 4, -5, f in increasing order.\nAnswer: -5, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c28 - 104?\nAnswer: 1b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1018485 - h**2 - h**2 + 2036969 - 1018484.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**2 + 177679190*l + 177679185 = 0.\nAnswer: -35535837, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**2*v)\/v)\/(v\/v**(-4))*((v**4\/v)\/v)\/v**(-6))\/((v**(-3)\/(v*v\/v**(-6)))\/(v**(-2\/7)*v\/v**(-3\/8))) assuming v is positive.\nAnswer: v**(1013\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a kilogram in grams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10) - ((-81740)\/1830)\/(40\/36)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.995258 nanograms?\nAnswer: 0.004995258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-251 + 127 + 124 - 273*f)*(-f - 4*f + 3*f).\nAnswer: 546*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**5 - 7715*o**3 + 23*o**2 + 115*o?\nAnswer: 60*o**2 - 46290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/12 - 5*d**3\/3 - 2*d**2 - 2*d. What is the tens digit of s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*j**2*x - 2*a**3*j*x - a**2*j**2*x - 2*a**2*j*x + 3*a**2 + 11*a*j*x + 77*a - 2996*j**2*x wrt j?\nAnswer: 4*a**3*x - 2*a**2*x - 5992*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -607\/4, -2, 1, -17, 1\/2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 10*w**2 - 10*w - 6. Let s be k(-8). Let t = -50 - s. Suppose 0 = 6*f + t - 4. Let z(j) = -j**2 + 18. Determine z(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*p**4 - n*p**3 - 5*n*p + 1578*p**4 + 131*p**3 - 4279*p**2 - 347*p wrt p.\nAnswer: 24*n*p - 6*n + 37872*p + 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15)*((-35)\/28)\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649563*q**2 - 3*q - 649568*q**2 + 3*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*sqrt(63))**2.\nAnswer: -48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**11\/(l\/(l**4\/l)) assuming l is positive.\nAnswer: l**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - 2*g**2)*(99*g**3 - 186*g**3 - 77*g**3) + 5 + 3*g**5 - 5.\nAnswer: 331*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 + 3 - 4888*y**3 + 15*y**4 + 9783*y**3 - 4894*y**3 to the form p*y**4 + z*y**3 + m*y + w*y**2 + c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.012 + -44.012. Let y = m + 49. What is the third biggest value in y, -2, -1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128494 + -89554. Round h to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/420 - 32\/(-210). Which is the nearest to 2? (a) -0.3 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 5, 9, 13, 17?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g + 20 + 3798*g**2 - 7598*g**2 + 3801*g**2. Calculate y(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -129246, -131482, -133720, -135960?\n\"Answer: -u**2 - 2233*u - 127012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from nddynnlnnlnnylllnnd.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + i - 2)*(7 - 20 + 8)*(1440*i + 2126 - 2126) to the form f*i**2 + v + o*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -152 + 487 - 153 - 182 - s**2. Let n(q) = 4*q - 197. Calculate o(n(j)).\nAnswer: -16*j**2 + 1576*j - 38809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1358 + -1335. Calculate the remainder when 64 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10013.8844 - 10012. Let p = 0.2834 - f. Let l = -1.6 - p. Round l to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 35*z + 44 - 24.\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 526024.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 989117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -19138.5?\nAnswer: 3827.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -3 (c) 39\/2 (d) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133 - 130. Suppose p = -3*a + 2420, 2*a - 7*p + v*p = 1632. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c + 289. Let x be z(-40). Calculate the least common multiple of x + -3 - 3 - -3 and 520.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 21*v**2 - 18*v + 101. Calculate the remainder when 1398 is divided by u(-20).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13552 (base 7) to base 12.\nAnswer: 2194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**2 - 7*u + 10. Let p be y(5). What are the prime factors of (50\/15)\/(2\/p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 + 882\/392. What is the second smallest value in 4, 0.2, 0.13, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53053 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.644 - -0.356. What is the fourth smallest value in -0.4, -1\/3, -17, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4311 - -0.088.\nAnswer: 4311.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Suppose i*c = -3*j, -c - j = -6*j - 24. Find the third derivative of p**2 - 2*p**2 - 6*p**4 + 3*p**c wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 17*b + 28. Let q be t(5). What is the greatest common factor of q and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2902811cm?\nAnswer: 2.902811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-10)\/h*h*h*h**(3\/7)\/h assuming h is positive.\nAnswer: h**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 50. Let b be (-100)\/v*(2 - 32\/10). Solve 3*a - b = 7*a + 5*d, -a = -4*d + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4 + 20*c**3 - 65*c**2 - 140*c + 300 = 0. Calculate c.\nAnswer: -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 324 and 91854?\nAnswer: 183708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*m + 22, m + 3*m = -2*b + 24. What is the highest common divisor of 85 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5499 - 0.1499. Which is the second biggest value? (a) 5 (b) q (c) 533\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28556241 a multiple of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}