diff --git "a/data/dm_maths/full_data_2/1210_11255.jsonl" "b/data/dm_maths/full_data_2/1210_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1210_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the highest common divisor of 104 and 608452.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.342 + -28.696. Let u = x + 48. Let b = -0.03896 - u. What is b rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -3 - 864\/(-112)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmxdxxdxxxdxjddxdmd. Give prob of sequence xmm.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and -11122.\nAnswer: -11116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 16. Let w(f) = -f**3 - 4*f**2 - f - 1. Let m be w(-2). Let l be c(m). Sort 6, l, -5.\nAnswer: -5, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1486 - 1486. Which is the nearest to 0? (a) u (b) -5 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/4*1*(-4)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3097, -3097, -3093, -3085, -3073, -3057?\n\"Answer: 2*h**2 - 6*h - 3093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q + 19. What is s(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -0.0848932\nAnswer: -0.4848932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2*35\/(-30)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -134369*m**3 - 2*m**2 - 4*m + 2. Let d be k(4). Suppose 2*p - 127998310 = 7*p. Let c = p - d. Round c to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 n when four letters picked without replacement from {n: 17, m: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - f - 4 = -c, -5*f - 2*c = -8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 13.167018?\nAnswer: 13.167018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/59218657 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 149461 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.9267 - -3.911762. Round s to four decimal places.\nAnswer: -0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147762220 rounded to the nearest 1000000?\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/(8\/(-160)). Let q(y) = -y**2 - 16*y - 21. Let k be q(x). Calculate the greatest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/15 - (-16)\/3. Let y(b) = -k + b - 18*b + 5. Let c(x) be the third derivative of x**5\/30 - 28*x**2. What is y(c(u))?\nAnswer: -34*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-8)*166)\/(339\/1356). What is the highest common divisor of 12533 and u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooooooynq. Give prob of sequence oqo.\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/m**(2\/5))\/m))\/m)**(3\/20)\/(m*m**(2\/3))**(-4) assuming m is positive.\nAnswer: m**(1009\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2, -122759?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.308 + -0.092. Let b = -2.12 - -0.12. Put b, h, -5, 2\/7 in descending order.\nAnswer: 2\/7, h, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 1. Let y(a) = a**3 + 8*a**2 - 12*a - 3. Let q be y(-9). Suppose 16*p - q = 13*p. Suppose -5*k - 33 = -p. Give u(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 69, -5, 1\/3, -3\/5?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4667 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3088 and 3290000?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254764 is divided by 1633.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 174989?\nAnswer: 87494.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -15*r**3 + 8*r**2 - 30. Let t(x) = -3*x**3 + 2*x**2 + 1. Determine k(f) - 4*t(f).\nAnswer: -3*f**3 - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15685295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11565389 by -17.\nAnswer: -680317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/89, 192, -22, -18 in decreasing order.\nAnswer: 192, 1\/89, -18, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -z + d, z + 0*z - 5*d = -7. Suppose z = m - 0*m. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 - 8152*v**3 + 364565*v**2 + 2026750*v = 0 for v.\nAnswer: -5, 0, 50, 8107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = w - 733. Let t be -15 + (-1 - 242)\/(-9). What is the greatest common divisor of t and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2453727 or -2453726?\nAnswer: -2453727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3 + 4*x + 1 + 1 - 1. Let r be g(1). Let n(k) = 11*k - 4*k**r - 11*k + 0*k**2. Let p(u) = -2*u. What is p(n(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9576, -9763, -9954, -10149?\n\"Answer: -2*w**2 - 181*w - 9393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**8\/5880 + r**7\/588 - 2*r**6\/315 + r**5\/105 + r**3\/3 + 3*r**2. Let v(y) be the first derivative of x(y). Factor v(m).\nAnswer: -2*m*(m - 2)**2*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 13\/65 - 258\/(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 47*i**2. Let l(p) = -6643272*p. Determine a(l(j)).\nAnswer: 2074253954701248*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3332.1 times 38\nAnswer: -126619.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**4 - 279*v**3 + 81 wrt v?\nAnswer: 8*v**3 - 837*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.111 times -0.1\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 979 and 712.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -6346, -10, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 229717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 divided by 490?\nAnswer: 283\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*s - 29 - 32, 5*j - 127 = -0*j + 2*s for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35\/29? (a) 0.3 (b) -1.11 (c) 469\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4 + ((-180)\/(-1824))\/(10\/168)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 29. Suppose 50*i - 207 = 53*i. Let x = i - -74. Calculate the remainder when q is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19572439165725\/46396658 + 11413599\/91693. Let k = -421974 + g. Let x = 17\/23 + k. What is the common denominator of x and -3\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1768826 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u + 7. Let m(q) = -45*q + 35. Determine 11*b(c) - 2*m(c).\nAnswer: -9*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178011352 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*h + 3*x - x + 8, -213*x - 639 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 564950392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/9*(-56)\/42*54\/24?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 286268272 divided by 17891767\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 23. Let o(j) = -6*j + j**2 - m + 6*j. Let d(y) = 5*y**2 - 4. What is -d(z) + 3*o(z)?\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 - -287. Suppose -77*t = -l*t - 1421. List the prime factors of t.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 1, 1004 in descending order.\nAnswer: 1004, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1841 = 330*h + 21*h + 6938 - 706 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52110, 52070, 52030, 51990, 51950, 51910?\n\"Answer: -40*q + 52150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -104841710 to the nearest one million.\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.53204 + -3.63204. Let y = 0.3 + 0.7. Which is the closest to -1\/4? (a) y (b) 0.3 (c) -1\/2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m. Let v = -74 + 90. Suppose 39 = v*d - 15*d. Let i(h) = -39 + h**2 + d. Calculate i(o(t)).\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421c4 (base 14) to base 9.\nAnswer: -262734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + -1*sqrt(17).\nAnswer: -sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 22*g - 22. Let v(b) = -b**3 + b + 2. Let c(m) = -5*i(m) - 5*v(m). Find h such that c(h) = 0.\nAnswer: -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2866 + 2208 = -94*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m = -3*x - 34*m - 12, 0 = -x + 2*m. Let a(f) = 2*f**2 + 22*f + 25. Give a(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3\/5, 2, 0, -0.13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3875436331\/5015514 - -85\/119417. Let g = -5242\/7 + v. Find the common denominator of g and -139\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -733 - -1067. Let a = v - 87. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 2*a**3 + 6*a**3)*(5*a**2 - a**2 - 5*a**2) - 4*a**5 + a**5 + 2*a**5 + 4*a**5 - 2*a**5 - a**5.\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/6)\/((-1)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 + 3*i**2 + 0*i**2 - i**2 + 1 - 1 + 2*i**2 - 2*i**2 - 2*i**2 + (4*i - 5*i + 2*i)*(-i + 0 + 0) + i**2 + i - i.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81*a**4 + 0*a**2 + 3259 + 13190*a - 6*a**3 - 6594*a - 6596*a - a**2 with respect to a.\nAnswer: 324*a**3 - 18*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 6*w**2 - 5*w - 25. What is g(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -29. Let g = 13.5 - r. Which is the nearest to -6? (a) g (b) -3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4*f - 14 = -6*y, -y - 3*f = 12. Let d be -7 - -3*(-33)\/y. Solve -2*o - d = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79320869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15169*o**3 + 9*o**2 - 11*o + 9. Let z(d) = 7600*d**3 + 4*d**2 - 5*d + 4. Determine -4*y(v) + 9*z(v).\nAnswer: 7724*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 357020.9 kilograms in tonnes?\nAnswer: 357.0209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (-378)\/(-91) + (-5)\/65*-63. Solve 4*k = 5*s + 17, -q*k = 3*s - 9 - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 + 112. Calculate the remainder when 20 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4228 divided by -2114\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 188.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 4, a: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3321 and -1\/519.\nAnswer: 574533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1)\/5*75\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 158411*t - 10184.\nAnswer: 158411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2090 is divided by 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1508 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzom when four letters picked without replacement from zozmmzqozzomomqzoz.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 1058*n**3\/5 - 490958*n**2 - 1921626*n\/5 - 376002\/5 = 0.\nAnswer: -9\/23, 2321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -10, 23, 5, -3 in decreasing order.\nAnswer: 57, 23, 5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Suppose 2*y = -3*y - d*s + 18, 2*y - 18 = 2*s. Suppose -4*c + 3*v = -y, 0*c + 2*c - v - 4 = 0. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 1416, 3117, 5452, 8397, 11928, 16021, 20652?\nAnswer: 25797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 4\/9, -1\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-2) - 3) + 10. Sort a, 3, 4 in decreasing order.\nAnswer: a, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5001 or 5005?\nAnswer: 5001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 6 - 1 + 2. Let d be b(5). Solve -6 + d = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 0. Let z(l) = 11*l**2 + 9*l - 17. Let c(o) = 4*o**2 + 3*o - 6. Let a(d) = i*z(d) + 8*c(d). Suppose 6*s = -12 - 12. Determine a(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/4325 and -11\/175?\nAnswer: 30275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5308, 18706, 41040, 72310, 112516, 161658?\nAnswer: 219736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -7*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - -8) + -2 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39049 and 1037?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-9)*1\/(9\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**2 + 24*f + 27 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4928*w**2 + 63*w - 113. What is the ten thousands digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -20. Which is the closest to -1\/4? (a) f (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 0.3, 1.1, -5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*b**5 + 0*b**5 + b**5 + (b**3 + 0*b**3 + b**3)*(4*b**2 + 2*b**2 - 5*b**2).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29\/4 + 4 + (-119)\/28. What is the greatest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113088026894 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 17 = 4*a, 4*s = 2*a + 7*s - 19. Solve -401*k + a*d = -399*k - 26, -3*d = -2*k + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 47*h**2 + 6*h. Let r(k) = -3*k**2 - 28*k - 10. Let v(o) = o**2 + 11*o + 4. Let b(q) = 2*r(q) + 5*v(q). Calculate 4*b(g) + x(g).\nAnswer: 43*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 918 and 162?\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 129*j + 498. Let z be r(-4). What is the second smallest value in z, -2, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) - (-5)\/(50\/44). Suppose -71 = -c*k + 449. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1623 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + a3bb120?\nAnswer: a3bb125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/15820 and 47\/20.\nAnswer: 15820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10225744 and 164561?\nAnswer: 3827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.548 - 3.269. Let v = b - 0.279. What is the second biggest value in 1\/74, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 3*q - 748 = 37*q. Which is the third smallest value? (a) -57 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-14))\/((-10 - -15)\/5740). List the prime factors of (7 + f\/16)*-4.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(1*(-40)\/45)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 9*b**2 + 4*b - 10. Let c be a(10). What is the tens digit of (c\/25)\/((-2)\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - m - 2*m + (-38 + 3*m + 38)*(-3 + 3 + 3)*(-2 + 5 + 3).\nAnswer: 51*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7641 divided by 2\nAnswer: 7641\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -115*o + 27*o. Solve o = -12*i - 32 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*o - 289, -5*t - 6*o + o = -465. What are the prime factors of t?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2399*a + 2010 - 2010.\nAnswer: 2399*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*k = -4, -5*x - 5*k - 7 = -27. Suppose x*u = 5*u - 264. Let p = u + -8. Calculate the highest common divisor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 14. Suppose p = 5*s + 85 + 43, 5*p - 2*s = 686. What is the greatest common factor of m and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1410 and 7\/38.\nAnswer: 26790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q - 2. Let a be (1\/(-2))\/(1\/(-4)). Let m be h(a). Suppose 893*o = 900*o - 28. Solve 7*g + m = o*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 3*b**2 - 5*b - 3. Let a be n(4). Let x(i) = i**3 + 6*i**2 - 6*i - 2. Let s be x(a). What is the least common multiple of 2 and (-6)\/s + 28\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 1)*(0*i**4 + 4*i**4 - 2*i**4) + 3*i**4 - 1 + 905*i**2 - 903*i**2 + 3*i**4.\nAnswer: 12*i**4 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1.423?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 8. Let q be j(-4). Let i be ((-58)\/(-390))\/(3 + q). Let t = i + -2\/39. Sort 2\/11, t, -4.\nAnswer: -4, t, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = -b. Let l be (b\/(-4))\/((-4)\/8). Determine y, given that y**2 + 2*y**2 + 2*y + 3*y**2 - l*y**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t + 9*t - 98*t - 6962 = 0 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 1032.\nAnswer: 23736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 104*t**2 + 134*t - 504. What is the thousands digit of b(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -2*q**4 + 5*q**3\/6 - 12*q**2. Is y(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 4:34 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275849?\nAnswer: 61, 37309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 625776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by -8023.\nAnswer: -117\/8023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/((-60)\/32)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(242) - 4*sqrt(242)*1) + -5*(sqrt(242) + (sqrt(242)*1)**2*-3) + 0.\nAnswer: -220*sqrt(2) + 3630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 18*c**2 - 5. Let f be j(-18). Let o(m) = -m - 2. Calculate o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 3*r**2\/2 - 3*r - 56. Give z(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 18\/199, 2\/5, 2\/11, -0.1 in ascending order.\nAnswer: -0.1, 18\/199, 2\/11, 2\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from jtvjysa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1100010001000000010 (base 2) to base 12\nAnswer: -174716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157085*k**5 - 11*k**4 + k**2 - 637*k + 937?\nAnswer: -9425100*k**2 - 264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370\/17 at least as big as 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 18. Let w = -56 + o. Is 19 a factor of (-4 - (-424)\/w)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 43*d + 260. Give u(-12).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p**3 + 0 - 1\/8*p**4 + 57*p**2 + 0*p. Let j(z) = -44*z. Determine j(k(f)).\nAnswer: 132*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7094 and 15758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 198*p + 201*p + p**3.\nAnswer: 2*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.79 minus -0.5028736?\nAnswer: 6.2928736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 21 - 2*c - 3*c + 8 to the form g + m*c and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 11*g - 25. Let m be i(13). Let y = 76 + m. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1831572504 - -241.26.\nAnswer: 1831572745.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-105) + (-52 - -52)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1266)\/18)\/(7\/(-84))?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*j + 55 = 0, -4*j - 4 = -2*x - 2*x. Let o(n) = 3*n**2 + 14*n + 97. Let h be o(-5). What is the greatest common divisor of h and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**2*t**2 + 826*c**2*t + 2*c**2 - 311*c - 4 wrt t.\nAnswer: 10*c**2*t + 826*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 222 - 222 - 2*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 495 + -492. What is the derivative of 27 - 76*o + 154*o - 76*o + 32*o**g wrt o?\nAnswer: 96*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 10. Suppose 3*q = -2*q + 15. Find the first derivative of 1 - q + 4 + z**w wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*22\/(528\/20)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.9 (b) -0.02292 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*j + 5*j - 59*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -w - 12, -1101677*r + 39 = -1101673*r + 5*w for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14315 divided by 5?\nAnswer: 2863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 1515 = -165. Suppose 0*t + 2*t = -5*m + 40, 0 = -3*t - m + 86. What is the remainder when f is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*u + 5464*n - 1192*u**4 wrt u.\nAnswer: -2*n - 4768*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, -10.6, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9147963*s**3*y**2 - 3723*s**2*y**2 - 11*s*y + 26 wrt s.\nAnswer: -54887778*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11395, 12277, 13773, 15907, 18703, 22185, 26377, 31303?\nAnswer: 36987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 (base 9) in base 11?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*z + 23 = 0, -31*b + 37 = -36*b - 2*z. Let t(n) = -11*n + 3. Let s(r) = -5*r + 2. Give b*s(h) + 4*t(h).\nAnswer: -9*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*t - 12 = 0, -t - 4*t - 36 = 3*q. Let i(v) be the second derivative of v**4\/12 - 17*v**2 + 12*v - 2. Let d be i(q). Solve 4*x - 7*x = -d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922163893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/4, 0, 10\/39, -0.09 in descending order.\nAnswer: 4, 10\/39, 0, -0.09, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5224242458 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/((-27)\/12)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 777 and 152376?\nAnswer: 5637912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.3\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4557*f**2 + 27309*f + 198.\nAnswer: -3*(f - 6)*(1519*f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171112 and 1447420.\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pddd when four letters picked without replacement from {y: 1, i: 2, g: 5, d: 1, p: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 - 77 = -8*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 8*j**4 - 244*j**3 + 576*j**2 - 452*j + 112 = 0.\nAnswer: 1\/2, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202 - -12020?\nAnswer: 11515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71348 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: Let w(y) = 27 - 7*y - 27 + 0*y**2 + y**2. Calculate w(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/6*n**3 - 1\/3*n - 11\/6*n**2 + 0 + 11\/6*n**4 + 3\/2*n**5 = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(-5*(sqrt(2448) - (sqrt(2448) + 0))*-4 + sqrt(2448)*-1*2 + -1)**2 + -4.\nAnswer: 240*sqrt(17) + 48963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-14)*(-316)\/395.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -k + 3577, 3*z = 3*k - 14271 + 3564. Let h = k - 17927\/5. Is -15 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 1. Suppose 4*x + 28 = 8*x + 2*m, 2*x = -5*m + 6. Let r(y) = -65*y + x*y**2 + 65*y - 2 - 4. What is r(u) + 6*t(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -173541 times 0.1?\nAnswer: -17354.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2322, -4698, -7128, -9606, -12126, -14682, -17268, -19878?\nAnswer: -22506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 750059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c - 7 = 0. Let h(l) = 3*l**2 - 9*l + 18. Let r(j) = 2*j**2 - 4*j + 9. Let m(p) = 3*h(p) - 5*r(p). Is m(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(((-952)\/16)\/(-17)))\/((-40)\/84)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 15*h - 10*h + 8, -8 = 4*s + 2*h. Which is greater: s or -22?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-75) - (-22351)\/10300?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71.02 + -76.02. Which is the biggest value? (a) l (b) 2\/21 (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*z**3 - 32*z**3 - 164*z**3 + 99*z**3.\nAnswer: -362*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5703 - -5266. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t. Let y(u) = 2*u**2 + 4*u. Let s(f) = -4*k(f) - y(f). Let j(g) = g - 5 + 5. Determine j(s(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 28. Suppose 6*g - 2*g - 94 = -5*p, 4*g - 2*p = 80. Does 19 divide 624\/g + 4\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 2*v - v + (0 + 0 - 1)*(2*v + 1 - 1) + 3*v + 2*v - 4*v + (-3 + 1 + 0)*(2*v + v - 2*v) + 1 - 1 - v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/8 + 10148*x - 81185\/8.\nAnswer: (x - 1)*(x + 81185)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612*x + 1 + 312*x - 1 + 302*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2135\/(-49) - 10) + (-402)\/938\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 38878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 448\/(-64)*-1*-6*2\/4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18711*f**2 - 18692*f**2 - 18711*f**2 + 74824*f**2 - 18718*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -40051 (base 6) to base 8\nAnswer: -12137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 1427082903.9?\nAnswer: 1427082903.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14601959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 n, and 1 d when three letters picked without replacement from {d: 1, a: 1, j: 1, p: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-66))\/((-220)\/9900).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -321 or -323?\nAnswer: -323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4568, 4574, 4580, 4586, 4592, 4598?\n\"Answer: 6*n + 4562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8248954, 16497911, 24746868, 32995825?\n\"Answer: 8248957*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 40 = -27*z. Let o(d) be the third derivative of -2*d**2 + 1\/4*d**4 - 2\/3*d**3 - 1\/60*d**z + 0 + 0*d. Determine o(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1494*o - 1002452. Give c(671).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 11*s - 8. Let l(p) = -52 + 44 + 12*p - 2*p. Let o(g) = -2*h(g) + 3*l(g). Suppose o(c) = 0. Calculate c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15026 - -15014. Sort n, 3, -22, -1, 2 in descending order.\nAnswer: 3, 2, -1, n, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 77 - 47 = 0. Calculate the remainder when 108 + -2 - (16 - 26) is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4286602 + 4286602 + 15*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.33, 14, 2, 1, 0 in decreasing order.\nAnswer: 16, 14, 2, 1, 0, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 14 = -74. Let t(a) = -21 + 27*a - 15*a + 9 + 38*a - 36. Let f be t(1). Solve -f*k = k - h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821713417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -173\/4 - -43. Which is the second smallest value? (a) k (b) 0.03 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*c + 26 - 10. Let d(f) = f**3 + 8*f**2 - 9*f + 10. Calculate the least common multiple of d(-9) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 0. Let z = r - -3.6. Which is the nearest to 0.2? (a) -0.5 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-16) - 1) + (-15057)\/(-1912).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/35)\/u**1)\/(u**5*u*u**(-2)\/u) assuming u is positive.\nAnswer: u**(-142\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 10\/(-300)*355?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33735 divided by -5?\nAnswer: -6747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*b + 632 = 71*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 27*l**2 + 27*l**2 - 8*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0 + 0*y**2 + 0*y**4 - 1\/3*y**7 + 3*y**3 + 0*y**6 + 0*y**5 - 13*y. What is the second derivative of h(w) wrt w?\nAnswer: -280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12044 - 12029 = -3*s, 5*s - 95 = -5*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1308 and 31\/4.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 25, 36?\n\"Answer: 11*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.775202 centimeters in millimeters?\nAnswer: 7.75202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-10)*(75\/2)\/(375\/75)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 6:54 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.012587 tonnes in micrograms?\nAnswer: 4012587000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-91)\/(-26))\/(5\/10). What is the highest common divisor of 1148 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14251275.\nAnswer: 3, 5, 43, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1013 - 4.92587512.\nAnswer: 1008.07412488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33\/56 - 117\/56. Let k = 0.04 - -0.02. Which is the biggest value? (a) k (b) y (c) 3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 16, 12, 8, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z - 1. Let y be 2\/8 - ((-7)\/4 + -4). Let t = y - 9. What is k(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 129411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*s + 8 = 12*u + 432*s, -14 = -2*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 49 = -4*g, 2*z - 3*g - g - 22 = 0. What is the highest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16083, 2\/11, 240?\nAnswer: 16083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o + 13*o - 90*o + 3*i - 13 = 0, 4*o = 5*i - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(f**4 + 0*f**3 + 0*f**3) - 2 - f**4 + 2 + (-2*f**4 + 2 - 2)*(2 + 2 - 6) - f**4 - 4*f**3 + 4*f**3.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 1. Let g(d) = -5*d + 3. Let i be g(0). Let w(h) be the second derivative of 7\/2*h**2 + 0*h**3 + i*h - 5\/12*h**4 + 0. Give 6*f(s) + w(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j*u + 7*j - 2*u**2 + u - 18 wrt u?\nAnswer: -3*j - 4*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -20*w - 287. Give d(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from {p: 5, r: 8}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 69325820 divided by 3\nAnswer: 69325820\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1431 or 666?\nAnswer: 1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 6, 3*m - 5*a - 45 + 24 = 0. Solve 4*g - 5*q - 16 = -3*q, -3*g = m*q + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356 and 459984218.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 10 - 2)*(-21 + 21 - 6*b) + (-1 + 1 + 2*b)*(-2 + 4 - 1).\nAnswer: 158*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1020006 + -18?\nAnswer: 1019988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62 + q**3 + q**3 + 69 + (-2*q + 2*q + 2*q**3)*(6 - 2 - 2).\nAnswer: 6*q**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -59*b**2 - 96*b - 28. Determine a(-6).\nAnswer: -1576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56683724, 56683726, 56683728, 56683730, 56683732, 56683734?\n\"Answer: 2*m + 56683722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = x - 72, 5*h + 6 + 143 = 2*x. Calculate the remainder when 1180 is divided by x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -98*a**3 + 9*a**2 + 11*a + 12. What is the least common multiple of 12 and l(-1)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 3:57 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741748 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -678 - -381. Let w = z - -535. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*q + 45 = -64*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 - 371. Let k = -238 - m. Let r = 2\/271 + 799\/1897. Is r >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/(f**12\/f))**(-28) assuming f is positive.\nAnswer: f**448","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -202923.8 minus 74274?\nAnswer: -277197.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 3. Let n = 21 - g. What is the second biggest value in -2, n, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(152)\/(-3*(sqrt(200) - sqrt(8))).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a**2 - 2*a - 2. Let t be r(-2). Let l be ((-8)\/(-150))\/((-36)\/t). Let b(j) = -j**3 - 2*j**2 + 3*j - 1. Let w be b(-3). Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3 = 0, 276 = -3*j + 3*v + 258 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -132*q - 31. Let r be (2 - (-12)\/(-7)) + 102\/(-14). Is z(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*m, 0 = -x - 4*x + 2*m + 26. Let j(z) = -x*z - z + z + 4*z. Let g(y) = 5*y**2. Give j(g(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + t + 11 = 0, -5*u - 4*t + 5 = -2. What is the least common multiple of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6703000 rounded to the nearest one hundred thousand?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4036, 1725, -586, -2897, -5208?\n\"Answer: -2311*u + 6347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 10:25 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.757t in nanograms?\nAnswer: 788757000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*t**4 - t**3 - 46877*t**2 + 197541 wrt t.\nAnswer: -152*t**3 - 3*t**2 - 93754*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336495948 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -932, -1866, -2800, -3734?\nAnswer: -4668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -373796 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1976 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 4*c + 6. Let y = 35 - 32. Let p be d(y). Let q(m) = m**2 - 4. Calculate q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 85d0 - -51?\nAnswer: 8641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 3*a**2 - 4*a + 2. Suppose -5*h + 3 + 7 = 0, 0 = 4*t + 3*h + 2. What are the prime factors of f(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 - 198.0476. Let w = z + -0.9524. Which is the closest to -1? (a) 0.5 (b) w (c) -4\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22475930*n - 45742300.\nAnswer: -22475930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2. Let w(i) be the second derivative of 4*i**3 + 11*i. What is w(d(v))?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-1)\/(-4)*-2). Let u be -2 - (4 + (2 - i)). Let d = 7 + u. Let l(g) = g**2 - 3. What is l(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -12.8 (c) 13\/6 (d) -7 (e) -0.08 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**3\/6 + 11*t**2\/2 - 2*t. Let f be l(8). Solve 4*h + 10 = -f*v + 2*v, -11 = -4*v + h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(5*m**4 + 0*m**4 - 3*m**4) - 4*m**4 + 3*m**4 - 2*m**4.\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3456 by 48.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y - 11. Let f(j) = 6*j + 5. Let g(w) = -9*f(w) - 4*x(w). Let d be g(-3). Let k(o) = o**3 - 6*o**2 + 9*o - 12. List the prime factors of k(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/10362 and 57\/1858252.\nAnswer: 5574756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + q + 1. Let c(v) = -v**2 - v. What is -3*c(l) - g(l)?\nAnswer: 2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 19*n - 52. Calculate the remainder when s(-7) is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1356 and 44\/2157?\nAnswer: 974964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34480 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 0 + 1 + 4*z**2 + 10*z**2 - 4*z**2. Does 11 divide c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6211 (base 8) to base 13.\nAnswer: 15cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 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: Collect the terms in -86 - 91 - 15906*m**3 + 177.\nAnswer: -15906*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**3 + 285*o**2 - 1080*o + 1060 = 0.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhohmhhmhhohhhm. What is prob of picking 1 o, 2 h, and 1 m?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213610, -213610, -213608, -213604, -213598, -213590, -213580?\nAnswer: -213568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0556 times -4854\nAnswer: -269.8824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1478*y**3 - 5*y + 9. List the prime factors of f(1).\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**2 - 10 - 14 - 8 - 7. Let q(c) = 28*c - 2. Give p(q(s)).\nAnswer: 56*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356, -2809, -9516, -22619, -44260, -76581, -121724?\nAnswer: -181831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134.77 + -134.776611. What is s rounded to 4 decimal places?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, 170, 258, 422, 686, 1074?\n\"Answer: 4*p**3 + 2*p**2 + 2*p + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w + 17. Let n(k) = k + 1. Let g(a) = l(a) + 5*n(a). Is 8 a factor of g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090683362 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(5) - sqrt(5)) + -5*sqrt(20)\/sqrt(4).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 341034488?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 65088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15*t = -8876. Let r = -422 - t. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -0.3 (c) 32 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-40)*(-88)\/(-4). Suppose 4*m = 0, 28*u - h*u - 5*m - 10 = 0. What is the smallest value in -0.5, -4, -3, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*h - 49*h + 194*h - 52*h + 112 - 55*h as t*h + q and give q.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286567674 + -423631218. Let s = p + 137064116.00403. Let q = 572 - s. Round q to four decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*z + 1564 = -4354 + 375 - 9857 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -3*o - 2*d + 63 - 32, -5*o + 12*d + 60 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 242*t**2 - 223*t + 4851. What is p(-243)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86958998 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61462747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4*k)\/k*(k**(3\/13)*k)\/k)\/(k*((k\/(k*k\/(k\/(k**9\/k)*k*k))*k)\/k)\/k*k*k*k**17) assuming k is positive.\nAnswer: k**(-114\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -5*i**4\/4 - i**3\/3 - i**2\/2 - i - 43. Determine k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 2*m + 19 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 = 2*v. Suppose 6*t = 2*t - 3*z + v, -2*t + z = -2. Let h(u) be the second derivative of -u**3\/3 + u**2\/2 - u. Calculate h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 18*w - 38*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -200, -193, -182, -167, -148, -125?\n\"Answer: 2*b**2 + b - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 - 21\/(-4). Suppose 0 = -5*p - u, -2*j - 2*j = -3*p - 27. Let g be 10\/4 + (-3)\/j. Solve -g*x - x + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1104*u**2 + 24*u - 1. Let i be j(1). 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: Is 51 a factor of 245350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 - 694 - (51 - ((5 - 8) + 1))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -158, 0, -4 in descending order.\nAnswer: 7, 0, -4, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19092102*f + 19092063*f + 2184 for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2 - 3 + 5*w**2 + 25*w - 1 - 2*w**3 + w**3. Let k be o(14). Let c = k + 113. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -74*t**3\/3 - 1783. Let y(s) = 14*s**2. Calculate l(y(v)).\nAnswer: -14504*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + m**2 + m + 3. Calculate z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107824995 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12290*y. Let b(u) = 47937*u. Calculate b(h(t)).\nAnswer: 589145730*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.59 + 0.59. What is the second biggest value in 3, -1, 0.04, l?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/162*-212 - 12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 15, -k - 2*f = -4*k + 765. Suppose 0 = -3*r - 37 + k. What is the highest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1692)\/36)\/(-7*-8*15\/1680).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = 2*y - 16, 12 = 5*y + 3*o. Suppose y*r = -4*r. Suppose r = -2*x + 5 + 7. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699421899?\nAnswer: 3, 11, 47, 450949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -833, -273, 3 in decreasing order.\nAnswer: 3, -273, -833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11787817\/302820 + -4013\/103. Find the common denominator of -29\/3780 and o.\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1059*z**2 + 4*z - 1063*z**2 - z - 3*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 4976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93638503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1695)\/42*4\/(-65). Let h = m - 36\/13. Let p = -0.9 - -1.4. Sort h, p, 5.\nAnswer: h, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 - 17*l - 5. Let q(s) = s**3 - 8*s - 2. What is -2*i(k) + 5*q(k)?\nAnswer: -k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h + 66*h + 41*h - 195*h.\nAnswer: -59*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84405 and 4080.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 118, 438, 970, 1714, 2670, 3838?\n\"Answer: 106*v**2 + 2*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -859 + 855. Which is the second biggest value? (a) 0.4 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 173*u + 5. Calculate the remainder when g(-13) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s**2 + 1858*s + 412 = 0. Calculate s.\nAnswer: -103, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 14*d**2 + 22*d + 23. What is the remainder when b(-12) is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2998, 6001, 9004, 12007, 15010, 18013?\nAnswer: 21016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 192 = h, 3*h + 180 = 2*k - h. Which is the nearest to 0? (a) k (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101200221100 (base 3) to base 4\nAnswer: 303123030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000223455 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.151 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*k**2 + 441*k**3 + 0 - 443*k**3 - 24*k**2 + 1 to m*k**3 + x + q*k**2 + g*k and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:03 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 17288730.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 - -3 - (-5 + 1). Let f(p) = -14*p + 29. Let i be f(z). Calculate the greatest common factor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = 3*s. Let i(x) = -x**2 + x + 16. Let z be i(0). Suppose 0 = 2*f + 2*f + z. Sort s, f, 4.\nAnswer: f, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -169*c + 28737 - 32624 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/20 - n**4 - n**3\/6 + 4*n**2 - 3*n. Let v be w(12). What are the prime factors of (-4)\/(1\/(v*1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - 2*a**2)*(16 + 7*a - 16)*(6*a + 3 - 3)*(-6 - 4 + 1).\nAnswer: 756*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 13 = x, -5*x + f + 3 = 4. Suppose -m = -5 + 2. Let y = -5 + m. Which is smaller: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339441800 a multiple of 2425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 2*s + 64. Let b = -11 + s. Suppose 23 = b*q - 7. Calculate the least common multiple of 1 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, r: 1, g: 2}. What is prob of sequence gr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-18)*y*y)\/y)**(-19)*y**34*((y\/(y**21\/y))\/y)\/y*y*y assuming y is positive.\nAnswer: y**319","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -14.08?\nAnswer: 84.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 3:35 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24.24 - 0.40483\nAnswer: -24.64483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -267*q - 220*q**2 - 265*q - 267*q - 37 + 799*q wrt q?\nAnswer: -440*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2*s + 2*s**2 + 0*s - 2 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1296*j**2 + 109601*j**2 - 7198*j**2.\nAnswer: 103699*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4077 is divided by 58?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, 35, -0.17, -1\/7?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a**(-1\/5)*a)))\/a)**(-5\/2)*a*a**12\/a*a*a*a**(-30))**38 assuming a is positive.\nAnswer: a**(-589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110101100 (base 2) to base 11.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 - 25 = 0. Let j be (-6)\/h - 102\/(-27). Let p = -5 + 9. Is j smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 393858.\nAnswer: 393857.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220837157?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51600162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/316886 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 21*c**2 + 3*c + 25. Let i be h(21). What is i rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 39289*a\/2 + 19645.\nAnswer: -(a - 39290)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 198.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-5) + (-1346)\/(-60) and ((-6)\/(-10) - (-1062)\/(-320))*4\/18.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine halves of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 22*r**2 + 4*r + 90. Let m be n(-22). Find w, given that 4\/5*w + 14\/5*w**3 + 0 + 18\/5*w**m = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011011000000010 - 0?\nAnswer: -1001011011000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -82, -89, -100, -115, -134, -157?\n\"Answer: -2*v**2 - v - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23651 and 0.36?\nAnswer: -8514.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142183941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 16. Suppose -355 = -2*o - m. Is 32 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v**2 + 7*v + 15. Let k(c) = 2*c**3 + 49*c**2 - 75*c + 71. Let b be k(-26). Let u(h) = -5*h**2 - 4*h - 8. Determine b*u(g) - 4*x(g).\nAnswer: -g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3188 divide 449737580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l**2 + 14*l - 84. Let p(r) = -2*r**2 - 4*r + 24. Let u(k) = -2*a(k) - 7*p(k). Let b(q) = 174*q. Give b(u(z)).\nAnswer: -348*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -4) + -42 + 1. Let v be -1*((-1 - o) + -1). Let q = -22 - v. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n = -5*j + 25, -5*n = -j - 13. Suppose 2*d = 4*l - 780, n*d = -0*l - 5*l + 986. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 93*h - 196*h + 19 to k*h + q and give k.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -67*m - 2. Let v be f(14). What is v rounded to the nearest 10?\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72\/7 in -0.2, 2\/13, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28859*-91\nAnswer: 2626169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 425*g**3*m**2*x + 13*g**3*m - g*m**2*x - 15*m**2 wrt x.\nAnswer: 425*g**3*m**2 - g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p + 15. Suppose 8 = p*k - 1. Suppose -5*m + 13 = 5*j - 72, -5*m = -k*j - 61. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14656813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + -1 - 9 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 - 11*r + 22. Let c be j(3). Solve -2*i - c = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 - -3 - (-17 + 9))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*v - 81*v - 15 = 181 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k)\/k**8 assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 53\/5 + 3\/(-5). Suppose 11*k - 3 = d*k. Let t be 304\/(4*k\/300). What is t rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 28.6549585?\nAnswer: 28.7549585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88515*f*y**2 - 168846*y**2 wrt f?\nAnswer: -88515*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2123*y**3 - 4252*y**3 + 2126*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -211, -1, 4 in ascending order.\nAnswer: -211, -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 2*q. Let k = 13 - 11. Suppose -5*m + 27 = -2*p - q, k*p + 6 = 2*m. Solve 3*z - m = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**3\/3 - i - 6. Determine w(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -1 - 6 - (6 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*u*x - 18*u - 11*x**4 wrt x?\nAnswer: 7*u - 44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27750170 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2. Let w be q(-1). Let s = -2010401\/14 - -143600. What is the third biggest value in -6, s, w?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66193094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19347 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) + 1*sqrt(539))*6 - sqrt(539))*1)**2.\nAnswer: 65219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Let i(h) = h**2 + 6*h + 3. Let p be i(-6). Suppose -4*l = -p*x + 108000, -a*x = x. What is l rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 722.\nAnswer: 5776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/7041 (b) 3\/5 (c) 3 (d) 2\/9 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0188 + -353.9812. Let o = 555 + r. Let u = -201.0000113 + o. What is u rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35800234, -71600465, -107400696?\n\"Answer: -35800231*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**3 + 12*w**2 - 8*w + 4. Let s(z) = 20*z**3 - 35*z**2 + 24*z - 12. Let x(b) = 17*l(b) + 6*s(b). What is the tens digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) -0.1 (b) -3 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -173 - 5?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 12, -z + 638 = -2*p - 15030. What is z rounded to the nearest 100?\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -374\/3 or -17\/10?\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -13\/2*t**2 + 13 + 0*t**4 - 6\/5*t**5 + 0*t + 0*t**3. What is the second derivative of c(u) wrt u?\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 764, 1459, 2172, 2903?\nAnswer: 3652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4*d + 4*d)*(4*d - d - d + 2*d - 1 + 1 + (1 + 4 - 4)*(d + 2*d - 4*d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 9:38 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 + 1 + 34*d - 1 - 35*d + 7*d**4 as z*d + c*d**2 + h + w*d**4 + q*d**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32691 divided by -21.\nAnswer: 10897\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 2. Suppose -a + 2 = -q. Suppose 12*p - 3*z - 348 = 9*p, -p + 3*z = -106. What is the highest common divisor of a and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*m + 143 = -169*m. Suppose -m*a + 9*a + 48 = 0. Suppose 2*s = -5*p + 187, -4*s - 4*p + 284 = -s. Calculate the least common multiple of a and s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*a*q**3 - 8*a*q**2 + 3318*a*q - 3*q**3 + 3106*q**2 - 27*q + 1 wrt a.\nAnswer: -12*q**3 - 8*q**2 + 3318*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1473750 a multiple of 2358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -361*r**5\/12 + 95*r**4\/6 - 10*r**3\/3 - 127*r**2. Factor v(x).\nAnswer: -5*(19*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 26054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -92 (c) -3692\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*z + 2*o, z - 5 = o - 0. Suppose 4*v = b + 18, z*v - b - 2 = 3*b. Find the second derivative of 29*n - 59*n**2 + v*n**2 + 30*n**2 wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**3 + 6*h**2 + 11*h - 2. Let i(a) = -8*a**3 + 6*a**2 + 11*a - 1. Let u(w) = -6*i(w) + 7*x(w). Does 13 divide u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 15*p - 176. Suppose 0 = 4*g + 3*d - p, 2*g - d = d + 22. Find the second derivative of -g*h**4 - 2*h - 77 + 77 wrt h.\nAnswer: -132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 14 - 33*v - 6 in the form p*v + k and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 7 + 19 = 0. Let p be (g + 20)*4\/6. Solve 76*a - p = 72*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9 + -8.9. What is the closest to -0.1 in 4, f, 51, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 111 + 3?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 10, 1, -3 in increasing order.\nAnswer: -11, -3, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 2*t = -13, 125*h = 128*h - 3*t + 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 7*v**4\/4 - 9*v**2\/2 + 9*v. Differentiate p(a) with respect to a.\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010 (base 2) in base 3?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**5 - 30*o**4 + 5*o**3 + 30*o**2 = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992 is divided by 320.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1307173, 5228668, 11764487, 20914630, 32679097, 47057888?\n\"Answer: 1307162*k**2 + 9*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000138227 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 93 - -1.1\nAnswer: 94.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -bab?\nAnswer: -ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/9, -4\/3, 2\/13, -4043, 3\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27351573 = 27351574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -835, -839, -843, -847, -851, -855?\n\"Answer: -4*j - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22994703*c**5 - 6516*c**2 + 729*c wrt c.\nAnswer: -1379682180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, 0.3, -3, -1, 0.07, -22035?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47400355 to the nearest integer?\nAnswer: 6885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152 and 22536.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 2*z**2 - 2*z + 2. Suppose 3*b + 0 = -9. Let a be j(b). Let y = a + 2. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -4\/13, 1\/5, 9.2 in ascending order.\nAnswer: -4\/3, -4\/13, 1\/5, 9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 2, c: 2, u: 6}. What is prob of picking 2 u and 1 c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -1\/20*m**5 + 0*m + 1\/16*m**4 + 1\/12*m**3 - 4 - 1\/8*m**2. Determine p so that q(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k - 3. Let v be u(2). Let b = v - 8. Solve b*x - 29 = f, f + 40 = 4*x - 4*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 699595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 244137?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**5\/30 + s**2 + 7*s - 83. Let a(u) be the second derivative of j(u). Let c(z) = -3*z + 2*z + 7*z + 2. Determine c(a(v)).\nAnswer: 12*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 77 = -14. Suppose 0 = 8*a - 19 - o. Put -5, a, 0 in increasing order.\nAnswer: -5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.6379 and -2.\nAnswer: 1.6379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 144 + (-2)\/(-2) + -2. Let g = 327 - p. Suppose -c + 5*c - g = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 78 = -6*n + n, n - u = 18. Suppose 0*a = -4*m - 4*a + n, -5*m - 2*a = -23. Let j be ((-2)\/m)\/(3\/(-5)). Put -1\/10, 2, j in decreasing order.\nAnswer: 2, j, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -218 - 342. List the prime factors of o.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.034214487 * 1.\nAnswer: -0.034214487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592365189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 divided by -2.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1322717055?\nAnswer: 3, 5, 11, 8016467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/60 and -4\/2345?\nAnswer: 28140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = m - 4 + 21, -10 = -2*m - p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 15 = -9. What is the units digit of -4 - (2 - -19)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 726113210 to the power of 1\/3, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3141?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 650 + -442. What is the remainder when x is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 + r**2 - 3*r**2 - 3*r**2. Let b(v) = v**3 + 6*v**2 + 2. Let j be b(-6). Let a(g) = 0*g**2 - 2*g**2 + g**j. Calculate n(a(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - (9 - 18) - -132. Solve -131*a = -b*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 600 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1, 1.89, 0, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43963242?\nAnswer: 2, 3, 379, 19333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*-1 + (-39)\/(-6). Suppose -k*s + 12*s = 6595. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -17*z + 2584. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111452 and 550528?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 26*n**2 - 26*n - 26. Let x be s(27). What is the hundreds digit of x\/1*7 - -452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 9*t**5\/40 + 41*t**4\/4 + 9*t**3 + 4*t**2 - 41. Find o, given that r(o) = 0.\nAnswer: -18, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 21 + 42 - 18 + 1846*c**2 to q*c**2 + l*c + n and give q.\nAnswer: 1846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*j = -616, -2*x + 5*j - 315 = -4*x. Let l(o) = 3*o**2. Let h be l(-2). Let s = x - h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n*n*n**(-1)*n))\/n*n)**(-1\/19))**(-26) assuming n is positive.\nAnswer: n**(-52\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/3 + 8*a**3\/3 - 6*a**2 + 5*a. Factor b(o).\nAnswer: -4*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-2\/5)*c*c**(-1)*c\/c**(2\/7)*c**5*(((c*c**5)\/c)\/(c*c**(2\/29)*c))**(-29) assuming c is positive.\nAnswer: c**(-2726\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 518, 513, 506, 497, 486?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 510142236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -57?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11)*1 + 3 + sqrt(11)).\nAnswer: 12 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tppjoppptptjnptt. What is prob of sequence tt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from {s: 1, p: 3, j: 5, a: 3}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45595 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = 3*g - 5, 1067*g = 1063*g - 10*q + 3 + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) -2\/27 (b) 23484 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81861370 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/16*(-16)\/(-6). Let z be (-1)\/(-2)*(-5 - (-5 + k)). Solve 0*a + 5 = -4*x + z*a, -2*a = 3*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -24.5. What is the nearest to -4 in p, 0.1, -1, 5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 19*c**2 - 36*c - 6. Let t be m(-17). Solve -4*i - 2*h - t = -7*h, 3*i - h = -10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + 39\/(-6). Let n(c) = 2*c + 17. Let u be n(g). Solve 5*p + u = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.092 * 3.9\nAnswer: 0.3588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2, -0.5, -3, -233?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-11)\/24 - -1)*(112 + -108)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -19*r**2\/2 + 10*r + 3. Let z be v(-7). Calculate the highest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 11*v + 22. Let h be b(12). Suppose p = h*p. Suppose 3*u + 2*u = 10. Solve p = -2*c - u*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + 5*s + 27*s**2 - 28*s**2 + 3*s**3 + 0*s - 9*s to r*s**3 + f*s**2 + a*s + h and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 - -3. Suppose 0 = -4*k - k + b. Suppose 2*p + k = 3*a - 0*p, 4*a + p = 24. Calculate the remainder when 12 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (170\/72420)\/(1\/12)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*c**2 + 125*c**2 + 188*c**2.\nAnswer: -256*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.36 - -2.6. Let f = 0.08 - a. Let v = -0.06 - f. What is the biggest value in 0.3, -0.4, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021011321 - 4?\nAnswer: 1021011312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*2\/168*(-1)\/(10\/15)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 3}. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 4*l + 3*l)*(380*l**3 - 636*l**3 + 761*l**3) - 5*l**4 + 4*l**4 + 3*l**4 + (3*l + l - 3*l)*(-2 + 2*l**3 + 2).\nAnswer: -2521*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14894348237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*y + 6. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 9*u**2 + 7*u. Let m be x(-8). Differentiate i + 7 - 16 + 10 + m wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 78003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 + 13. Let t be 6*(0 + (-8)\/6) + 4. Let s be w(t). Put 7\/3, s, 1\/3 in decreasing order.\nAnswer: 7\/3, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 2277?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(250) - (sqrt(19) + sqrt(19) + 1*sqrt(19))*-2)**2.\nAnswer: 18259\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5\/15 + 143264*o**4\/15 - 5011322*o**3\/15 - 33506428*o**2\/15 - 13861048*o\/3 - 46967632\/15 = 0. What is o?\nAnswer: -2, 41, 71597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1100213472*u**4 - 39807561*u - 1 wrt u.\nAnswer: 13202561664*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from fumugyay.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**2 - 7*r + 3. Let l(n) = 5*n**2 + 2 - 6*n - 3*n**2 + 4*n**2. Let w(g) = g**2 + 4*g - 5. Let q be w(-4). Determine q*l(z) + 4*p(z).\nAnswer: -2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 - 197*m + 3*m**5 + 169*m + 0*m**5 - m**5 - m**5 + (m**4 - 4*m**4 + 0*m**4)*(1 - 2*m - 1).\nAnswer: 6*m**5 - 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3649183716.\nAnswer: 2, 3, 181, 1680103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 26 + 5*y**3)*(-1 - 2 + 1) to the form o*y**2 + l*y + x*y**3 + t and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/15 + 3)\/((-2)\/(-70)). Let g = 44 - r. Suppose -g*j + 2*h + 3 = j, 18 = 4*j + 2*h. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2144 and 509468?\nAnswer: 4075744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-5))**(3\/14)*(s**(-1\/8)\/s)\/s*s*s\/(s*s*s**(7\/6)*s))**(3\/2) assuming s is positive.\nAnswer: s**(-505\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0858 times -0.0280091\nAnswer: 0.00240318078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 3*f + 388, -6797*c + 6796*c - 4*f = -500 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -3 + (3 - 2). Let v = 0 + 5. Sort -2, j, v.\nAnswer: -2, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13322 + 13322.3. Sort 2\/117, -3, 1.4, -4, a in descending order.\nAnswer: 1.4, a, 2\/117, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**4\/4 + 7*s**3\/3 - 7*s**2\/2 - 2*s + 1. Let f = 12 + -7. List the prime factors of q(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 457184141 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*m - 12*m - 7*m)*(-4*m**2 + 3*m**2 - 2*m**2).\nAnswer: 144*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15454250 and 1550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/9)*q\/q**(-11) assuming q is positive.\nAnswer: q**(110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1431786 micrograms to kilograms.\nAnswer: 0.0000000001431786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 245315608 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - w - 3. Let r(m) = -m**3 - 3*m**2 + m - 9. Let d be r(-4). Let b be x(d). Let t = -254 + 254. Solve -b*j - 3 - 9 = t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/23))**(-1\/6)*k**20\/k**(4\/5))**(-12\/13) assuming k is positive.\nAnswer: k**(-26506\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 5*v - v + 2 + 3*v + (-3*v**2 + 2*v**2 - v**2)*(0*v + 0*v + 3*v) in the form g + l*v**3 + x*v**2 + p*v and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 126973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1358 - 11*s**3 - 5*s**3 - 1358.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37526194163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 19. Solve -3*y - z = -4*y, 0 = y - k*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*v - 562*v**4 + 58*v - 256 - 84*v wrt v.\nAnswer: -6744*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63363754 or 63363752?\nAnswer: 63363752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e9d162 - 3?\nAnswer: 1e9d15e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 12:24 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15835 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u\/(u*(u\/u**(-2\/5))\/u)*u)*u*u*u**1*u*(u\/u**(2\/9))**(1\/26) assuming u is positive.\nAnswer: u**(4013\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -134902 equal to -2\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 4*j - 4. Let q be u(4). Let f(z) = z**3 + 5*z**2 - 2*z**2 - 2*z - 3*z. What is the units digit of f(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1509*g + g**2 + 1512*g - 1 + 29*g**4 + 84*g**4 to the form p + l*g**4 + x*g + i*g**3 + r*g**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 + 3. Let x = r + -0.3. What is the third smallest value in x, -2, -0.01?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006422 rounded to seven dps?\nAnswer: 0.0000642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6028*l**2 + 506351*l - 30. Give r(-84).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014208713 rounded to 6 dps?\nAnswer: 0.001421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/12 - 2*t**2 - t - 6. What is the tens digit of y(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(1\/(-6)*-2)\/(489\/(-1467)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c + 12. Let j(w) = w**2 + 5*w - 1. Let l be j(c). Let f = 1 + 14. Solve z + l*b = 9, 2*b = -3*z - b + f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -446? (a) 2\/11 (b) 1\/6 (c) 3 (d) -2\/147\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 65 = -25. Suppose -i + 10 = x*b, -3 + 1 = i. Solve r = 2*u - r, -4*u + 5*r + b = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*o + 2. Calculate the common denominator of o*84*(-2)\/20 and 11\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2251827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 233270963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.5 or 5.36?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*o = -392. Let h = o - -127. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-323)\/114 + 0 + -2 + 6.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 39 = 53 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2827 + 2838 + 2837 - 22*p - 8502.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26386 is divided by 26385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 not equal to -282246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 1. Let p(h) = -h**2 - 15*h - 15. Let g(b) = 3*k(b) + p(b). Let j be g(-17). Sort 1\/5, 1, 0.1, j in ascending order.\nAnswer: j, 0.1, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/(-120))\/((-22)\/(-220)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -5, -35\/2, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*d + 4489 + 72*d + 67*d.\nAnswer: 2*d + 4489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from cdeggmg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5198556539.\nAnswer: 11, 472596049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -414 + 142. Let w = m + 124. Round w to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**4\/4 - 2*a**3\/3 + a**2 - 2*a + 2. Let j be s(2). Is 2 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*t**4 + t**3 - 1866*t - 1 - 4*t**4 + 1864*t + t**2 to c*t**2 + f*t**4 + u*t + q + h*t**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/9*8\/(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffcfffcf. Give prob of picking 2 f and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:02 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8899 (base 11) in base 10?\nAnswer: 11724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/(16\/(-120)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -916 by 67.\nAnswer: -916\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 101. Let r be (-6)\/(-18) - v\/(-3). Solve -3 = -0*u - 2*u - a, 0 = -u - r*a + 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 15 = -12*o + 15*o, -5*o = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13692956 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*v + 84. Let b be 94\/168 + 12\/v. Let f = 1\/12 + b. Put -2, 3, f in descending order.\nAnswer: 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**0)**40*(d*d**(-2\/27)*d)\/(d*d**(-3\/5)))**9 assuming d is positive.\nAnswer: d**(5606\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -7*r**5\/5 + r**4 + 8*r**3\/3 + 1099*r. Factor h(j).\nAnswer: -4*j*(j - 1)*(7*j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - v**4)*(5 + 5 + 5) + (-2*v**2 + 3*v**2 - 2*v**2)*(-4 + 3 + 5)*(41*v + 2*v**2 - 76*v - 51*v) as d*v**3 + z*v**4 + u*v + q*v**2 + b and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by -5.\nAnswer: 114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/9*-3)\/(-2))\/((-60)\/(-72)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -20*o**3\/3 - o**2\/2 + o - 237. What is k(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -271 + 225. Let k = x - -68. What is the smallest common multiple of k and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:50 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**7\/980 + p**6\/126 - 2*p**5\/105 + 22*p**3\/3 + 16*p**2. Let h(s) be the first derivative of l(s). What is g in h(g) = 0?\nAnswer: -4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 587 = 293. Suppose h - n - 102 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbybbybbbbbb. Give prob of sequence yyb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 0*y + 0*y)*((0 - 5 + 3)*(0 + 2 + 0) - 2 + 0 + 3) + 54*y**3 - 34*y**3 - 9 - 18*y**3.\nAnswer: 5*y**3 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:44 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 2*g**3 - 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7291.973 centimeters?\nAnswer: 72919730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 3)*(-4*m + 4*m - 2*m) - 26*m - 93*m + 0*m + (-2 + 2 - 3*m)*(1 + 31 + 34) to the form i + t*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(75))*-1)**2.\nAnswer: 10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = 21*i + 8*i. Suppose 0*n - 4 = -4*q - n, -5*q = -3*n - i. Solve v + 2*x - 9 = 6*v, -3*x = q*v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 10:11 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2 + 4*x + 4. Let f(a) = a**2 + a. Let r(h) = -3*h**2 - h - 5. Let p(w) = -4*f(w) + r(w). Give 5*m(k) + 4*p(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 15*z**2 + 10*z - 6. Let c be m(-16). Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3353 + -3353. Let z(w) be the first derivative of 13\/2*w**2 + 10 + q*w. Let h(y) = y. Give h(z(u)).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 + 12*m**3 + 0*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + p**3 - 2 + (4 + 4 - 6)*(3*p**3 - p**3 - p**3) - 6*p**3 + p**3 - 7*p**3 + 2*p**3 - 4*p**3 + 4*p**3 as h + y*p + s*p**3 + j*p**2 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**2\/2 - 4*t - 5. Let x be i(-10). What is the highest common divisor of x and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 683\/10 or 68?\nAnswer: 683\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 divided by -12149?\nAnswer: -707\/12149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20921 is divided by 1884?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 1452*r + 10017.\nAnswer: 3*(r + 7)*(r + 477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-114.1.\nAnswer: 22.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/67670 and 85\/392486?\nAnswer: 1962430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -8\/31, -0.06, -5\/2, -0.3, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4287, 4286, 4283, 4278, 4271, 4262, 4251?\nAnswer: 4238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:43 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -25, 639, 3 in descending order.\nAnswer: 639, 4, 3, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 187, 695, 1689, 3331, 5783, 9207, 13765?\nAnswer: 19619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/124?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 31*x - 25. Determine d(-4).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4147 is divided by 1994?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:39 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from qiztvvizpqvtqvt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 11*b**2 - 21*b + 25. Let t be p(7). Let u be 6\/(-15) + ((-220)\/t)\/(-11). Factor 98\/5 + 28\/5*s + u*s**2.\nAnswer: 2*(s + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-18) - 5288\/(-48). Let j = -109 + q. Let h be (-2)\/(-4) + 35\/(-10). Sort j, h, -6 in decreasing order.\nAnswer: j, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1023.\nAnswer: 204.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15989901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*w + 275*w + 3*w**2 - 523*w - w**2 + 271*w.\nAnswer: 2*w**2 + 460*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*y - 1226 = y, 0 = x - y + 246. Does 16 divide x\/(-14) + (2\/(-4))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32404 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 643794885*s**3*z**3 + 2*s**3*z - s**3 - 9856*s**2*z - 10*s**2 + 8*s + 3*z wrt z?\nAnswer: 3862769310*s**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 0.17\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 3 - 3 = 0. Let b(h) = -h**3 - 2*h**2 - 2*h - 1. Let d be b(q). Which is bigger: 2\/9 or d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*p - 23, 2*b = 5*p - 15 - 13. Solve -4*r + 5*i - 20 = -b, -10 = -5*r - 5*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179 by -409.\nAnswer: -179\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 - 311175*z - 2*z**3 + 3*z**2 + 311173*z - 949 as j + f*z**3 + p*z + l*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -88a - 29?\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2))\/o)\/(o*o\/(o\/(o\/(o**7*o))))*o**7\/(o*o*o**(-1\/2)*o))**(-7\/3) assuming o is positive.\nAnswer: o**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhvlqhqhlflll. Give prob of sequence qlqf.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + h + 3 + (-2 + 0 + 4)*(-723*h + 694*h - 407*h) in the form b*h + t and give b.\nAnswer: -871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894982 - 891972 = -86*s for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 306123*m**2 + 6*m - 6. Let v(g) = 612246*g**2 + 11*g - 12. Let b(p) = 5*a(p) - 3*v(p). Let q be b(-7). What is q rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 5. Let g(o) = 2*o - 1. Let b(r) = r + 1. Let u(t) = -5*b(t) + g(t). Let i(v) = 4*a(v) + 3*u(v). What is the units digit of i(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7350 and 49686.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5271 divided by 7\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = -668. What are the prime factors of q?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*b + 1\/7*b**2 - 2\/7.\nAnswer: (b - 2)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1720*c - 20 = 1716*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83431\/10 + 8354. Let d(o) = -o**2 + 15*o - 30. Let u be d(12). Find the common denominator of (u\/((-72)\/(-498)))\/(10\/(-2)) and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -119\/4?\nAnswer: -119\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-343)\/294)\/(14\/(-6)))\/1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -r - 25, -9*i + 11*i + r = 35. Calculate the remainder when 29 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 7546244690?\nAnswer: -7546244672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 838572 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(-3\/8)*q*(q**(3\/17)*q)\/q assuming q is positive.\nAnswer: q**(381\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, q: 6, m: 3, n: 1}. What is prob of sequence nk?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 3*(-8)\/6. What is the lowest common multiple of (-3 - -1)*a\/(-4) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6*d + 38. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856.8252ml to litres.\nAnswer: 0.8568252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + a = 1703, -2*o + 7*o + 2*a = 2131. Suppose 0 = -c - 4*c + o. Calculate the remainder when c is divided by 8*(75\/20 - 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 996 or 986?\nAnswer: 986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -21. Suppose a + f*j - 273 = 0, 2*j + 1 = -7. Is (-1 - a)*(-9)\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from vyyyvyyyyvfyy.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22440, -22405, -22370, -22335?\n\"Answer: 35*d - 22475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -124, -238, -362, -508, -688, -914, -1198?\n\"Answer: -2*f**3 + 7*f**2 - 121*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77663026 to the power of 1\/2, to the nearest integer?\nAnswer: 8813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*t**6*z**2 - 119*t**6*z + 2*t**2*z**2 - 1303*t**2*z wrt t.\nAnswer: 600*t**3*z**2 - 14280*t**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j - 2 = 3*h, 4*h - 4 = 4*j. Suppose 4*x - 5*l - 1 = h, -6 = -3*x - l + 9. Suppose 0 = x*p - 244 + 44. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199\/1947 + -2\/177. Is o at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 - -37 - -38 - 19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14962826.165000528 - -14962826. Let x = 0.165 + r. What is x rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 - (-2 + -19 + 8 + 28)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*q + 5626 - 5626 to the form a*q + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.1. Let j = -54.02 - -53. Let s = 0.02 + j. Which is the nearest to s? (a) -0.3 (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u + 27. What is the tens digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -625370024776005*l**2\/4 - 55918245*l - 5 = 0. Calculate l.\nAnswer: -2\/11183649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -44129 (base 10) to base 5\nAnswer: -2403004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/5 + 18907*l**2\/5 + 94566*l\/5 - 113472\/5.\nAnswer: -(l - 18912)*(l - 1)*(l + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3294411012 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468)*6 + 3)*-4.\nAnswer: -12 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 - -1.1.\nAnswer: -177.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11741, -46976, -105697, -187898, -293573?\nAnswer: -422716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-3)*(-75)\/(-100).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -31. Let o be (-5 - d) + 1 + 1. Let v(j) = -5*j - 3. Let x be v(-3). Calculate the highest common divisor of x and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4905411 + 4905835.5102. Let f = n - 419.51. Let u = f - 5. Round u to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 213, 278, 305, 282, 197?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -4*p**2 - 36. Let q(x) = -47*x. Give -34*j(n) + 6*q(n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042297235 to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0462 (b) 0.6 (c) 120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + w)*(3 + 0 + 0)*(0 + 2 - 1)*(-13*w - 6 + 6)*(-w**2 - 2*w**2 + 7*w**2).\nAnswer: -156*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (4 - 5) - -12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**2 - 3584*t - 41499200 = 0.\nAnswer: -2804, 3700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -102, -8, 27 in decreasing order.\nAnswer: 27, -1, -8, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, m: 1, f: 2, b: 1, d: 3}. Give prob of sequence mdff.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 5. List the prime factors of c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 1. Let l be g(1). List the prime factors of (-13)\/(1 + (-4)\/l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2062086034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 47 = -2*v, 3*o - 44 = -2*v + 7. Suppose -2*r = -10, 0 = -w + 5*r - v + 1. Solve -5*l - 3*j - j = -16, -l + w*j - 8 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = 16*f - 4*h + 18, -6 = -2*h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*f + 4*f. Let m be (3\/f)\/(2\/(-18)). Factor -8*g**2 + g**5 - 8*g**4 - 2*g - 3*g**5 - 12*g**m + 0*g**3.\nAnswer: -2*g*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/9 - 6560*n**2\/3 - 78694*n\/9 - 19672\/3 = 0.\nAnswer: -9836, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 93. Suppose -2*p = 5*u - 83, 4*u + 162 = 3*p - u. Let j = p + l. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 28. Let t be ((-9)\/h)\/(-1 + (-51)\/(-60)). Solve 11 = -t*u + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 11322233013?\nAnswer: 11322233020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 971 + -976. Sort v, 2, 4, -23 in increasing order.\nAnswer: -23, v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/3 + 2125214*h**4\/3 - 1129135761661*h**3\/3 + 752755049228*h**2 - 376377170412*h = 0. Calculate h.\nAnswer: 0, 1, 1062606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -125\/2*n**4 - 90 + 25*n**3 - 30*n + 295\/2*n**2 = 0.\nAnswer: -1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100101 - -10?\nAnswer: 101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 + 417 = -4*v - 5*g, -164 = v - 2*g. Let q be 1\/(-6) + v\/(-102). Sort -5, q, 35 in descending order.\nAnswer: 35, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 63 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 1968 - 4793 - 99 in the form n*f + m and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341, -388, -445, -518, -613?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300))**2 - (sqrt(13) - -2*sqrt(52)).\nAnswer: -5*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 677847499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 9. Let d be v(12). Let w = d + 27. Suppose w = r + r - 2*l - 34, 0 = 5*r + 2*l - 57. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*b = 8, b + 35 = 5*i - 0*b for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650129859.\nAnswer: 3, 19, 29, 131101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -4a?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159 + 160. Let u = 0 + 2. Solve r = -q + n, -q + 5*r + 13 = u*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(5 + (-54)\/10) - 77\/(1925\/(-250)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 17 + 7)*(-6*q + 22*q - 51*q)*(-2*q**3 + 2 - 2).\nAnswer: 1470*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-66))\/(((-30)\/(-16))\/((-3528)\/1568))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 5*h + 80. Suppose d - 3*p + 81 = -2*d, 0 = -3*d - 4*p - h. Let x = d + 34. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 - 36 + 30 + (0 - 1 + 3)*(-3 - 3 + 5))*(1 - 6*t**3 + 13*t**3 - 3).\nAnswer: 518*t**3 - 148","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42 - (18\/12)\/((-6)\/(-8)). Let w be (s\/(-16))\/(((-5)\/(-2))\/(-5)). Solve -w*y + 0*y = 4*f + 37, f - 7 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 128, -8, -4, -5 in ascending order.\nAnswer: -8, -5, -4, 2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.92 + -4. Let k = y + 0.38. Let a = -2.3 + k. What is the smallest value in -1\/8, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*x**2 + 4*x**2 - 138*x - 461*x**3 + 457*x**3 to u*x + i*x**3 + g + z*x**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690 bigger than 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 25. Let q be n(25). Suppose -q = -3*b - 22*b. Solve 0 = m - 0*u - 4*u + 7, 0 = 4*m - b*u + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**3 - 2*p + 7. Suppose -2*q = 11*y - 7*y + 42, -y + 39 = -4*q. Let n(t) = -7*t**3 + 4*t - 13. Give q*c(j) - 6*n(j).\nAnswer: -2*j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -60*(0 + 3 - 7)\/(2\/11). Calculate the highest common factor of x and 495.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70 - (-2 - 47)) + -11 + -25.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -20. Let g be (2\/(-3))\/(26\/(-6)). Is g greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 22\/4*-6. Let w = -21 - n. What is the greatest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.872 times 5.051?\nAnswer: 4.404472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -5 (b) -0.2987 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 6. Let q(w) = 3. Let c(l) = 3*d(l) - 6*q(l). Let n(p) = -21*p**2 + 23*p**2 + 4*p - 4*p. Calculate c(n(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*l - 118*l + 16 = 0, -2*n + 24 = -4*l. Solve 10*p = -n + 34 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209844310.\nAnswer: 2, 5, 13, 1614187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -14. Suppose 5*d + 114 = n*v, 152 = v + 3*v + 5*d. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1600 - 35291\/22. Calculate the common denominator of (-5 + 6)*(-61)\/2 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3\/5 + 303678*r**2\/5 + 1214738*r\/5 + 911058\/5 = 0.\nAnswer: -3, -1, 151843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1102022110002111?\nAnswer: -1102022110002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 - -121. Let q(l) = 18*l + 42. Let d(f) = 4*f + 9. Let n(j) = u*q(j) - 14*d(j). Let i(r) = -r**2. Calculate n(i(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**5 + 25*r**4\/2 - 65*r**3\/3 - 55*r**2 - 3526. Find j such that z(j) = 0.\nAnswer: -11, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*f - 2 + 143*f - 67*f**3 + 2*f**4 - 285*f - 4*f**2 + 100*f**3 as r*f**3 + g*f**4 + d + m*f + t*f**2 and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 59*b**3 + 1 - b**4 + 59*b**3 to a + r*b**2 + i*b + s*b**4 + l*b**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 8*p**2 - 10*p + 3. Let v be g(-7). Let r be (v\/(-20))\/(6\/(-360)). What is the greatest common factor of r and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:05 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/396 - 4\/22 - (-500)\/225?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k + 33*k - 48*k - 25*k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -51*l + 2. Let o(i) = 28*i - 1. Let d(t) = -3*a(t) - 5*o(t). Calculate d(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1636065861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 9) to base 8\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 10*r**2 - 9*r + 3. Let m be i(9). Suppose 0 = -m*p + 8*p - 290. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 28 = -4*l, -2*a - 7 = l + a. Let y(g) = -3*g - 7. Let t be y(l). Solve 0 = -j - 4*s + t + 6, 20 = -5*j + 4*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/422 (b) -2\/5 (c) -0.1 (d) 3 (e) 2 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 4) + 54 - (-34 + (34 - -7 - 17))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443230 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v + 36. Let q be n(6). Suppose 2\/11*y**3 + q*y**2 - 6\/11*y - 4\/11 = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j - 8. Let g(h) = -3*h + 7. Let u(i) = 5*g(i) + 4*l(i). Let d be u(0). Solve 13 = 5*k + 3*r - 7, 0 = -k - d*r + 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16*m + 3. Let h(k) = -32*k - 6. Suppose -236 = -56*v + 44. What is v*q(a) + 2*h(a)?\nAnswer: 16*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*t - 19 - 40 + 225*t.\nAnswer: -t - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7 + 9 + 10 + 3 - p. Suppose 73 = 4*v - 3*a, 5*v + 16 = a + 99. Calculate the remainder when j(0) is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -198 (b) 0.066 (c) 5 (d) 2\/11 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 505, 550.\nAnswer: -2, 505, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102272 divided by 136.\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**3 + 12*x**3 + 5*x - 9*x**3 to o + w*x**2 + d*x**3 + j*x and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(200) + 3 + -3 + 2)**2 + (-4*(sqrt(18) + (sqrt(18) - (sqrt(18) + 4*sqrt(18)))))\/((sqrt(18)*4)\/sqrt(2)).\nAnswer: -37*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 24*t**3 - t - 1. Determine x(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179112 and 39576.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -20, -176, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 3*l + 3. Suppose 0 = b + 1 - 4. Let r(j) = -7*j**2 - 6*j - 5. Let a(k) = b*r(k) + 5*g(k). Let z be 32\/4*(-1)\/2. Calculate a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*o + 1746 = 0, 2*p - o - 4*o - 1164 = 0. Suppose 3*u - p = -3*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16601.2308 microseconds to weeks.\nAnswer: 0.000000027449125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*u - 78*u = -4*b + 9*u + 8, -16 = -2*b + 6*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3133\/19 + (-22)\/(-209) is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -17*b**2 + 1512*b. Let h(u) = -u - 2. Determine a(h(f)).\nAnswer: -17*f**2 - 1580*f - 3092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 0.12.\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.2 + 16.5. Let z = 118 + -28. Let n be 2\/9 - 56\/z. What is the nearest to n in 2, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3889 is divided by 969?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 3*j**2 - 4*j + 3. Let l = -84 - -90. Let s be z(l). Is s greater than 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 1 = -27. Suppose -j*u = 4*p - 2112, -2 + 6 = u. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/12 and -73\/50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 17*n**2 + 16*n + 7. Is k(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18043607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4065)\/15)\/(-3 + 2) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 3*y**2 - 7*y - 5. Let r be u(-8). Suppose 17*p - 2*p = r. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 1 = 9*g - 6*g, -5*g = -4*k + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 + -46. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 4 + 2*m - 10)*(-28*m**2 - 80*m + 80*m) to the form s*m**2 + t + a*m**3 + x*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24738085*i*w**3*y - i*w**2*y - i*w**2 + 9*i*w*y + 4*i - 6*w**3*y + 4257*w**2 + 43*w*y + 1 wrt w?\nAnswer: -148428510*i*y - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73b + -9?\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 198\/13 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14661 (base 12) in base 6?\nAnswer: -340201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227411 + -227411. Let y = 0.3 - 0.1. Let u = y + -0.2. Which is the closest to x? (a) 0.5 (b) -2\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*l - 245 + 49, -5*l - 920 = -5*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -37, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8*d = 45. Let m = d - 15. Solve 9 = 3*p - m*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*c + 4 = -2*v, -5*c - 10 = -2*v. Suppose 3*q + 5*y - 28 = v, 0*q - 5*q + 51 = 4*y. Let p = 36 - q. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/4 - 125*b**4\/2 + 21151*b**3\/4 - 315413*b**2\/2 + 526153*b + 689210.\nAnswer: (b - 82)**3*(b - 5)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252485, 252481, 252475, 252467, 252457?\nAnswer: 252445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 + 20*n + 47. Let q be b(-10). Let u = -260 - q. List the prime factors of u.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + t. Let c(b) = 8*b**2 + 6*b + 8. Give c(p) - 6*v(p).\nAnswer: 2*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 9. Suppose -y + 3 = -h. Which is bigger: 7\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/(-27)*120\/160?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-10)\/4) - 8. Let d = c - -13. Let a(l) = -d*l**2 - 2*l**2 + 3*l**2 + 9*l**2. Let s(t) = t**2. Give s(a(r)).\nAnswer: 49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.76439, 28, -4, -3 in descending order.\nAnswer: 28, 6.76439, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 35 - 10. Solve -2*j + 2 = 2*y - 4, f*y = 4*j + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5 + 436*h - 216*h - 218*h. Suppose 17 + 8 = -5*p, 3*b - p - 17 = 0. Determine w(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {a: 2, q: 1, t: 4, w: 1, m: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**1\/j))\/j**(1\/6))**(1\/36) assuming j is positive.\nAnswer: j**(5\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*v - 59*v - o - 12 = 0, v = -2*o for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5235 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkpkkkkkkkkjkkkkkk. Give prob of sequence pj.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -38. Suppose -z + 0 - r = -3*p, 0 = 4*p + 3*z - 5. Solve p*w = -1 - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b + 3. Let v be m(-4). Suppose 0 = 8*i - 3*i + 95. Let f = -9 - i. What is the greatest common factor of v and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*2\/28 - 133825\/(-371). Let r = 361 - t. Find m, given that 3\/2*m**2 - 3\/2*m**4 + 7\/2*m**3 - 5\/2*m**5 + r - m = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 6:34 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 381*r - 2. Does 100 divide p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 16\/15?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x = 2*w - 35*x + 2, 0 = 2*w - 4*x + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 2\/21*o**3 + 0*o**2 + 1 + 0*o + 1\/14*o**4. Factor x(l).\nAnswer: 2*l**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 7*b + 6. Suppose 5*q + 41 = -4*d + 13, 0 = 4*d + q + 28. Does 3 divide g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:50 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**3 - 51*b**2 + 62*b**3 - 3 + 18*b**2.\nAnswer: 92*b**3 - 33*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -528 - 3372. What is k rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-10)\/(-45)). Let t(w) = -w + 4 - 3*w + w**2 + j - 6. Is t(-3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f + 25*f - 544. Let i(s) = s**3 - 27*s**2 - 9*s - 21. Let z(p) = -3*p**3 + 80*p**2 + 26*p + 63. Let k(q) = 11*i(q) + 4*z(q). Is k(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*f + 17, 5*f - 21 = 7*k - 5*k. Suppose k*r = 3*i + 7, 3*i + 5*r - 15 = 8*i. Which is smaller: i or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/60 + 69*d**4\/2 + 28566*d**3 - 314*d**2. Solve p(a) = 0 for a.\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/9*(108 + -1 - 5). Calculate the greatest common factor of 221 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (272*k + 64*k + 31*k)*(-7 - 7 + 21) to the form q + g*k and give g.\nAnswer: 2569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a factor of 1693127436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:22 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2579721.\nAnswer: 3, 307, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7277698 or -7277699?\nAnswer: -7277698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 4*u**2 + 2*u + 5. Let c = -23 + 28. Let j be d(c). Suppose p + p = j. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + u**2 + 2*u**2 + (-3 - 2*u + 3)*(u + 0 + 0) + (0 + 0 - 2*u)*(0*u + 0*u + u) - 2*u**2 - 1 + 1 + 3 + u**2 - 3.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -3 - (2 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 204 + -1 - (-3 - -6). Suppose -5*u + t = 5*q, 3*q - 2*u = -q + 160. Suppose -f - 4*f + q = 0. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5 = 5*f, f + q + 1 = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1010 + -222?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15247 - 4*v**3 - 15247.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30375615, 60751253, 91126891, 121502529, 151878167, 182253805?\n\"Answer: 30375638*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81 - -8) + -50 - -24.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, -1798 in increasing order.\nAnswer: -1798, -5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 + 0. Let k = 172 + -173.2. Let i = k + h. Put -0.4, i, -2, 0.04 in decreasing order.\nAnswer: i, 0.04, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10437 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 2\/585229 (c) 1\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(34*y + 38 + 33 - 70)*(0*y + 0*y - 2*y**2).\nAnswer: 204*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -84e (base 16) in base 14?\nAnswer: -abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + sqrt(704))**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.05 - -2.1. Does -0.1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - v - 9*v + v to r + o*v and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8704\/99 or 87?\nAnswer: 8704\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1621 = -3*k, -5*k - 613 = 3*i + 346. Let s = -113 - i. Calculate the highest common factor of 42 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2405 and 193960.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 9. What is the remainder when (3 + (-39)\/d)*95 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnfnsfeese. Give prob of sequence fsfs.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-10 + 40) - (0 + (1 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221221 + -10000021?\nAnswer: -2001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9869822?\nAnswer: 2, 251, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 423981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3546437 is divided by 3546385?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 - 19*s**3 + 5*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47112, -94180, -141246, -188310, -235372?\nAnswer: -282432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21985795687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18969923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 l, and 1 k when three letters picked without replacement from hlhrlk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*i**3 + 235*i**3 - 94*i**3 - 73*i**3.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -922823.2 rounded to the nearest 100?\nAnswer: -922800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662) - ((-3*sqrt(2662)*-4 - sqrt(2662)) + sqrt(2662)))\/(-2*sqrt(2)*-1 - -2*2*sqrt(2)).\nAnswer: -121*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 91*o**4 - 5*o**2 - 95. Let t(x) = 136*x**4 - 7*x**2 - 143. Let m(y) = 7*j(y) - 5*t(y). Differentiate m(n) with respect to n.\nAnswer: -172*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 1. Let z(h) = 13*h - 2. Calculate 6*a(b) - z(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14737756 + 6?\nAnswer: -14737750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 2597.45060326?\nAnswer: 2597.15060326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*i**4 + 11*i**4 - 11*i**4 + (i - i - 4*i**3)*(-4*i + 2*i + 0*i) + i**4 - 4*i**4 + 2*i**4.\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*s + 1)*(s + 2*s - 4*s) - 6*s**2 + 18 - 18.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**4*k\/(k**(-9)\/k*k)*k**(9\/2)\/(k*k*k*k\/(k*k**(-8)*k*k*k)) assuming k is positive.\nAnswer: k**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*r - 202*r - 49*r - 71*r - 89*r - 26*r.\nAnswer: -398*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31)\/4 - (30\/(-8) - -4). List the prime factors of (u + 6)\/((-1)\/31).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -53*u**3 - 5*u**2 - 5*u - 1. Suppose 5*q + 5*a - 5 = 5, -4*q + 3*a = 6. Let l be (q - 1)*3 + (2 - 1). Is o(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + x - 14 - 7*x)*(12 + 9 - 3)*(0*x**2 + 0*x**2 - 2*x**4).\nAnswer: 72*x**5 + 504*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2 = -2*y. Let d(b) = 29*b**2 - 2*b - 1. Does 10 divide d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23753, 47311, 70869, 94427, 117985, 141543?\n\"Answer: 23558*f + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 89895\/(-6)*48\/(-40) + 6. Round x to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2570 + -1994?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -10. Let c = 4 + -15. Let w = o - c. Solve -w - 6 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220220211001 (base 3) to base 10\nAnswer: 490483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.35461 + -231.37061. Let i = o + 231. Are i and 2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33419363171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 3*s**2 + 5*s + 3. Let v be f(4). Suppose 0 = -2*w + v*w - 65. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*g = -3, 2*g = 4*s + 6 - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -307 + 309 + (0 - 16 - -1) - -54\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 34*r + 39*r + 92 = 0, 3*r - 84 = -3*t. What is the smallest common multiple of 13 and t?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.474 take away 1118801174?\nAnswer: -1118801167.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z - 98. Calculate l(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**7\/11340 + x**6\/1620 - x**5\/540 - x**4\/12 + 2*x. Let p(j) be the third derivative of i(j). Let p(m) = 0. Calculate m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {z: 7, t: 6}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*h - 24, -7*h = -2*h + 15. Let i = x + -18. Let k(b) = b**3 + 5*b**2 + 3*b - 4. What is k(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/519 + -1541\/4152. Suppose 3*v = -2*v + 3*s + 2, -3*v = -s - 2. Calculate the common denominator of q and v\/(-4) - 155\/15.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 19*s - 34. Let i be q(17). Suppose 8*h - 10 - 6 = i. Is (h + -2 + -63)*3\/(-9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 1125*d**2\/2 + 315843*d\/2 + 316969\/2.\nAnswer: (d - 563)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 17*n**2 - 36*n + 43. Calculate m(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330119 and 7843?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/64560 and 21\/143335?\nAnswer: 1850741520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**3 + 516*a - 510*a - 2*a**2 + a**2 as q*a + u*a**3 + t + g*a**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 10\/11 (c) 11\/2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -41718.\nAnswer: -41718.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 455721160, 911442321, 1367163482, 1822884643?\n\"Answer: 455721161*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((55\/6)\/11)\/((56\/(-3))\/(-28)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 + 0 + 4 + -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*0\/91*2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 561713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*j**2*m**3*o - 3*j**2*m**2 - 3*j**2*m*o - 5*j**2*m + 2*j*m**2*o - 407*o wrt m.\nAnswer: -396*j**2*m*o - 6*j**2 + 4*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcqjmjmmmqcm. What is prob of picking 1 q and 1 c?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:25 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 604712 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -632 + 609 - (2 - 12)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4236023.726 rounded to the nearest one thousand?\nAnswer: -4236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - ((0 - 8) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968341*j - 467350*j + 1347184*j.\nAnswer: 1848175*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -46\/7?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2171 - 2159. Suppose 6*q - 4*q - 8 = 0. Suppose 2 + 10 = q*c. Calculate the remainder when f is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008705 to seven dps.\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -156100.\nAnswer: -1\/78050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31711705 - -2.6\nAnswer: -31711702.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 21*f**2 - 26*f + 71. Let q be (105\/10)\/((-1)\/2 + 0). What is the units digit of o(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/4*68\/17. Suppose -t - 105 = -h*z + 182, -2*z = 4*t - 106. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -125904 and -60?\nAnswer: 7554240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jljhqjlrljqjqg. What is prob of picking 1 l, 1 q, and 1 g?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 8:21 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/12 - 4*d**3\/3 - 33*d**2 - 48*d. Let c(k) be the first derivative of i(k). Let o be ((-2)\/(-3))\/(1\/9). Give c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 34*a\/3 + 28.\nAnswer: 2*(a - 14)*(a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*f - 190 + 245 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 7. Let t be w(-9). Let b(u) = -2*u**2 + 9*u - 4 - 2*u**2 + 3*u**t. What is the remainder when 60 is divided by b(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-52.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 352 - 312 = 0. What is the lowest common multiple of d and 82?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuuuyucue. Give prob of sequence yc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/97306 or 0?\nAnswer: -1\/97306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w = 2*f - 21*w - 14, 5*f = 2*w + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*f - 46, -5*n = -3*f + 10 - 8. Solve -5*j - 4*l = 29, f = -3*j + 5*l - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 plus -20591256606?\nAnswer: -20591256439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1445 + -1443. What is the highest common factor of s and 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) 4 (c) 3 (d) -3.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 280 and -0.197.\nAnswer: -55.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let g(j) = -159*j**2 - 162*j. What is f(g(l))?\nAnswer: 159*l**2 + 162*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 152344.36 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 14 = n, -s - 6*s = -n - 2*s + 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 2, x: 2, f: 1, o: 1}. Give prob of picking 1 f, 1 z, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91040 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 3*q - 43 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, 0.2, 3, 0.62?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-28)*-4*14\/(-224)*-14?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075.159 kilograms in nanograms?\nAnswer: 3075159000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 258*q + 7670. Give o(153).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*(-1 + (sqrt(968) - (sqrt(968) + 1)) + -5 + 1 + sqrt(648)))**2.\nAnswer: -504*sqrt(2) + 2641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058.74 weeks in milliseconds?\nAnswer: 1245125952000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 14*j + 3584. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b7 + 1?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/3, -3\/10, -1, -5, 729?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 11*a + 12. Let s be x(-4). Let i be (s + (-2)\/(-4))*10. Solve -3 - 2 = i*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-122)\/18 + (-4)\/18. Let a = m - -6. Which is smaller: -2\/9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -512, 2, -14, 1, -17 in ascending order.\nAnswer: -512, -17, -14, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*l - 60*l - 5*q - 14, 0 = -l - q + 10. Let m be -1 - 4\/(-8)*4. Calculate the greatest common factor of m and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + (sqrt(44)*-2)**2 - (sqrt(3564) - (sqrt(3564) + 1))**2).\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*y + 577 = -84*y. Let m = 576 - y. Let n be (-3)\/(-15) - 34\/20. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 20*q**2 - 61*q + 136. Give f(6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -4457.46329.\nAnswer: -4457.56329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2904) + sqrt(2904)*1)*-5)\/(-6*sqrt(432) + 6*sqrt(12)*1).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24943698 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2. Let n(w) = -3*w - 82. Give n(q(c)).\nAnswer: 6*c**2 - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -297.8.\nAnswer: 5360.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(170)*3 - (sqrt(170) + -2*sqrt(170)*3 + sqrt(170)))*-2)\/((sqrt(80)\/sqrt(2) + sqrt(40))*5 + sqrt(120)\/(sqrt(3)*-2)))**2.\nAnswer: 272\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254108 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472290, -944584, -1416878, -1889172, -2361466?\nAnswer: -2833760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 29 - 11 = 0. Solve -q = -3, -2*k = -q - 3*q + p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -446*t. Let r(k) = 7*k. What is r(y(u))?\nAnswer: -3122*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -4 + 3)\/(-4)*10. Suppose -5*d = -5*k, -1 = -k - 2*d + 14. Solve -t*r = 15 - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45591 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2129*v - 4857*v - 14537*v + 342*v - 6238*v.\nAnswer: -23161*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:39 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/(-66) - 4\/(-6). Let g be ((-4105)\/1375 - -3)\/(56\/(-20)). Let c = g + -381\/770. What is the third smallest value in c, -21, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(630) + sqrt(630) + sqrt(630)))\/((sqrt(150)\/sqrt(5))\/sqrt(3)) + ((sqrt(504) + 1*sqrt(504) + sqrt(504))*5)\/(-5*sqrt(24)\/sqrt(3)).\nAnswer: 39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 32800125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 5. Suppose 3*o = 0, -2*a - 5 = -3*a + q*o. Calculate the smallest common multiple of 2 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 49. Let q(y) = -3*y - 4. Let s(h) = 13*h + 22. Let a(p) = -11*q(p) - 2*s(p). Calculate r(a(d)).\nAnswer: 7*d + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 25\/12 (b) -3 (c) -4 (d) 5 (e) -7 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, z: 8}. What is prob of picking 2 z and 2 s?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 29 = -11. Suppose -5*t + 4*c = d, -3*c = 4*t - 19 + 4. Suppose 0*q - q + 223 = t. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-6))\/7 + (-3)\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10*x)\/x*(x*x**4*x)\/x assuming x is positive.\nAnswer: x**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1462, 2972, 4508, 6070, 7658, 9272, 10912?\nAnswer: 12578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**4 - 91*z**3 + 20*z**2 - 1 wrt z?\nAnswer: 48*z - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 12*n = 153. Suppose -4*u = 4*d - 232, -170 = -3*u + 3*d - 8*d. Let v = u + n. Solve 4*a + 7 = -v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 56. Suppose -r = 2*x - a, -x = -4*x + 5*a - 21. Let g = x + 32. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8610867313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.85 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 22, -0.1, -2 in descending order.\nAnswer: 22, -0.1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/112 and -197\/10353480.\nAnswer: 144948720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610956.\nAnswer: 2, 402739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231801765 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3091.052 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -72966543, -72966539, -72966535, -72966531, -72966527?\n\"Answer: 4*v - 72966547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 535242*a. Let m(d) = 3*d**2. Calculate m(j(x)).\nAnswer: 859451995692*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/11)\/(4\/(-48)))\/((-4092)\/112530).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t = -4*x + 88, 2*x = -t + 44. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20*11\/176)\/((-1)\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*(v**(-2\/11)*v)\/v)*v)\/(v*(v\/(v**(-1\/14)\/v)*v)\/v))\/((v*v*v*v**1*v)\/((v*v\/(v\/(((v**(-2)\/v)\/v*v)\/v))*v*v)\/v)) assuming v is positive.\nAnswer: v**(-1215\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8ed068 (base 16) to base 8.\nAnswer: 43550150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 67 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -279\/17 or -16?\nAnswer: -279\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5778 and -32\/1236249.\nAnswer: 264557286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84.51 - 1.51. Let a = 84 - q. Let f be ((-4)\/(-14))\/(3 - 2). Put 7\/3, f, -3, a in descending order.\nAnswer: 7\/3, a, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859939 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3302? (a) 4 (b) 7 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 20 = 3*w - 5*n, -w + 4*n + 9 = 0. Suppose 11 = -w*p + 1. Does -2 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8635?\nAnswer: 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4\/(-18)*20304\/(-192).\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 39*v**3 - 10*v**3 + 54*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (127*v - 257*v + 128*v + 2267)*(-2*v**2 + 6*v**2 + 0*v**2 + (-4 + 4 + 1)*(-2*v**2 + 0*v**2 + 0*v**2)) in the form q*v + b + o*v**2 + m*v**3 and give o.\nAnswer: 4534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 153. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2\/9 + 22340*y\/3 + 336000 = 0.\nAnswer: -45, 16800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:38 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3105)\/495 - 3\/(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 46*z**2 + 37*z + 924. Let m be r(-46). Is m <= -778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/337?\nAnswer: -4\/337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + 3*p - 3*p - p**4 + 2*p**4 + 3*p**4 + (3 - 3 - p)*(3*p - p**3 - 3*p) - 1 + 1 + p**4 + 5 - 5 + 3*p**4.\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g - 5*s + 435, g + 4*s = 72. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871388348?\nAnswer: 2, 3, 223, 699323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 852*d - 4. What are the prime factors of g(1)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:53 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 551334 + 41?\nAnswer: 551375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2139452*q**3 + 44*q + 159667684?\nAnswer: 6418356*q**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1560\/20623?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5 + 8320*v**4 + 8652794*v**3 - 24956*v**2 - 25941760*v + 17305600 = 0. What is v?\nAnswer: -2080, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - f + 2 - 4 + 41*f**3.\nAnswer: 41*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e2ed2f + 5?\nAnswer: -2e2ed2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 9*z**2 + 2*z + 11. Let a = -60 - -62. Suppose 3*y - 2*w + 5 = -22, -a*w + 18 = -2*y. Determine m(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 45. Suppose 0 = 7*r - 4*r - l. Suppose -7*x + 6*x + r = 0. Solve -x + 3 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.1 - 8.8. Let y = -33 + f. What is y rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -24. Let f(k) = -k - 7. Let l be f(-4). Let x be 285\/(-399) + (-3 + 1)\/(-2). What is the nearest to x in -4, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 4*y + 5*c, 49*y - 46*y - 28*c + 616 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112264.\nAnswer: 2, 139033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 - 1) - -2 - 11 - 19.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)\/y**0)\/(y**(2\/5)\/(y\/(y*y**(-2))))*(y\/((y\/(y*y*y\/((y**(1\/2)*y)\/y)*y*y*y))\/y)*y**(2\/13))\/((y*y\/y**(-5)*y)\/(y**(-2)*y)) assuming y is positive.\nAnswer: y**(-31\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/95)\/((-28)\/(-1260)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -44658128, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7964 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-252)*52)\/(18\/(-63))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**3\/5 - 130816*a**2\/5 + 261648*a\/5 = 0.\nAnswer: -32706, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-735476)\/30 + 2\/5. Let a = -24543 - l. Let t = a + 85\/3. What is the second smallest value in t, -3\/4, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyueeiiyueyue. Give prob of picking 1 y and 1 u.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3.0117 + -2\nAnswer: 1.0117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)\/(2\/(-10)). Suppose -3*t + v*t = 104. Calculate the highest common divisor of t and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((5 - 17) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v - 5096 = -4968 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:34 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t. Let u(g) = 10. Let z(m) = -2. Let s(k) = 3*u(k) + 16*z(k). Suppose f - 14 = -7. Let c(q) = q - 7. Let o(p) = f*s(p) - 2*c(p). Give o(v(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -3) + -2 - 1. Let i be (-16)\/(-6)*q\/(-2). Suppose -4*u - 54 = -2*m, m + i*m - 117 = u. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*v + 26 = 0, 3*v - 24 = -4*n + 28. What is the smallest common multiple of 104 and n?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*y + 208 - 3520 = 0 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 453 - 483, 0 = 5*z - 3*g - 128. What is the highest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 35738?\nAnswer: -3573.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-1) + 9 - (-1 - -3). Solve 0 = t + 1, h*x + 0*x - 10 = 4*t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -57*k**4 - 4*k**2 + 83*k. Let l(m) = m**4 + m**2 - m. Let z(i) = -4*l(i) - y(i). Find the second derivative of z(o) wrt o.\nAnswer: 636*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 - 59. Sort u, -3, -1 in descending order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308 + 287 + 0 + 10 - (-6 + -13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*b = -4*c + 20, 5*c - 76 = -4*b. What is the remainder when 33 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (42 - (-36 - (15 - -24))).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*j + 42*j - 49*j + 2695902. List the prime factors of j.\nAnswer: 40847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d + 7 - 11*d + 17*d. Is o(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/7)\/8*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2 + k)*(0*k**3 - 4*k**3 + 0*k**3)*(-19*k - 8*k + 8*k).\nAnswer: 76*k**5 + 152*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101101 + -210222212?\nAnswer: -201121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 9, t: 1, k: 4}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 42.97642t?\nAnswer: 42976420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 - 78. What is the remainder when 249 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**5\/140 - b**4\/84 - b**3\/42 + b**2\/14 + 5*b. What is l in d(l) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 20, -3*b = -5*q - 23 - 17. Sort 4, 36, b in decreasing order.\nAnswer: 36, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f*(f**(2\/21)\/f)\/f*f))*f*f**(4\/5))\/((f\/(f\/((f\/f**(2\/7))\/f)*f)*f)\/f**7))**(6\/23) assuming f is positive.\nAnswer: f**(1718\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276 (base 11) to base 3.\nAnswer: 110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*l - 119 = 72*l - 2*k, -2*l - 2*k = -244. Calculate the remainder when 2257 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/6)\/(-11*(-7)\/(-231))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) 2\/9 (c) 3 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72411738 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 16.729 times -0.8?\nAnswer: -13.3832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - 2*sqrt(117)*-1))\/(sqrt(63)\/(sqrt(7) - sqrt(112))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -54. Calculate the remainder when (-3)\/(-1) + -3 + s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 2*l - 4*f - 176 + 93, 0 = 5*l - 3*f - 5*f + 90 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**7\/21 + 2*c**6\/15 + 13*c. Factor n(m).\nAnswer: 2*m**4*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/19, 0.13, -4, 15, -2\/5, -6?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4389523\/312 - -14069. Let i = -26797\/2184 - a. Let o = -12 - i. Do -1 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + b + 1. Let f(g) = -g - 3. Let d(y) = f(y) + 2*m(y). Let c be d(1). Let i = c - -6. Solve z = 3*z + i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5511.\nAnswer: 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11005 is divided by 1064.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 34\/(-20) + (-2024)\/(-5520).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {g: 2, l: 2, w: 2, r: 1, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -1\/10*y**5 + 3*y - 1\/4*y**4 + 0 + 0*y**3 + 0*y**2. What is the third derivative of p(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.537 - -29.587. Which is the closest to 1? (a) 7\/23 (b) z (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q. Let y = -6 - -31. Suppose 238*d - 482 = -6. Let o(f) = -48*f**2 + 22*f**d + y*f**2. Calculate o(s(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 + 228. Suppose -v = -5*l - 2*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*u**2 + 14*b**2*u + 3*b**2 - 18*u**2 - 1205 wrt u?\nAnswer: 4*b**2*u + 14*b**2 - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 5, 3\/2, 1\/8, -202, 350, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76308923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3595*p - 675*p + 5155*p + 4309*p - 1272*p.\nAnswer: 11112*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*j - 29 = 4*j, 191 = 5*i + 3*j. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 - 157*g - 803. Give x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 3*v + 2*m + 26 = 0, 5*m + 19 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 20*h - 1. Determine i(-9).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -1 (c) -5 (d) 2\/77 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 465285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 847542477 a multiple of 1912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 11 = 6*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 280\/(-50) - (34\/10 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3036792 to the power of 1\/2, to the nearest integer?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 235*d - 237*d - 53368, 0 = -4*p - 5*d + 42701. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -x + 17, -20*c + 21*c - 16 = 4*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*y**2 - 3)*(-3 + 2 + 0)*(3 + 1 - 1) + 2*y**2 - 2*y + 2*y + (y + 0 + 0)*(-2*y + 4*y + 0*y) in the form n + z*y**2 + u*y and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t*t*t*t\/(t*t**(-5\/4))*t*t**(-23)*t*(t**(-12)*t)\/t**(1\/29) assuming t is positive.\nAnswer: t**(-2991\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262967 is divided by 1003?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (27 + (-35 - -19)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1828 not equal to 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = -0. Let z be (6\/(-10) - k)*-75. Does 5 divide (4\/(-3))\/(4\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31705869 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/14 and -87\/2997902.\nAnswer: 20985314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 57664920 divided by 6\nAnswer: 9610820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1580.6 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -19*r**2 - 3*r. Let q = 7 + -1. Let z(b) = -76*b**2 - 12*b. Let v(j) = q*z(j) - 22*h(j). What is the second derivative of v(o) wrt o?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0836 - -0.038. Let o = -0.046218 - n. What is o rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) + (-2)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiinn. Give prob of sequence niin.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 11:04 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 14 = -17*u. Let v(l) be the third derivative of l**5\/60 + l**4\/8 + l**3\/3 + 6*l**2. Let p be v(u). Solve r - 6*r + 15 = p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-5)\/2 + 2). Suppose 9*w = 2*w + 126. Suppose -17 + w = -q. Which is the third biggest value? (a) -1.3 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 806*w - 438*w - 406*w + 2 - 2.\nAnswer: -38*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 338686?\nAnswer: -7\/169343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*sqrt(2736))*2 - ((sqrt(2736) + sqrt(2736) + -4 + sqrt(2736))*2)**2*4.\nAnswer: -394248 + 4680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 442*s**2 + 4783*s + 100. Determine l(-11).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826811661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y**3 - 69*y**3 - 142*y**3.\nAnswer: -242*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -331243+-2\nAnswer: -331245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 30. Let i = -92\/5 + 18. Let f = 0.9 - 5.9. Which is the closest to i? (a) 0.3 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16436 + 1132157. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 11 = 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 4*n**2 - 2*n - 27. Give c(-8).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/(g\/((g*g*g**(2\/9)\/g*g*g*g)\/g))*g**6\/g**(-1\/4))**(3\/29))**(2\/27) assuming g is positive.\nAnswer: g**(197\/4698)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/381 and -17\/15.\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32377781775 + 0.4.\nAnswer: -32377781774.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 41*c**3 - 35*c**2 - 206*c - 214. Let v(x) = -375*x**3 + 315*x**2 + 1855*x + 1925. Let l(s) = 55*k(s) + 6*v(s). What is u in l(u) = 0?\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 2. Suppose -5*f = 15, f + 38 = 2*p - 7*p. Let u = p - -4. Determine s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2589, -4375, -6163, -7953?\n\"Answer: -p**2 - 1783*p - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 56.9, -0.2, 4\/3, -3, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182947111, -731788443, -1646523997, -2927153773, -4573677771?\nAnswer: -6586095991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 460765232 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14059496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 3, 76, 2, -620, -3, 0.5 in descending order.\nAnswer: 76, 3, 2, 0.5, -3\/2, -3, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/654718 and 73\/113864.\nAnswer: 2618872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/754308 and -65\/10932.\nAnswer: 754308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4 - 303*t**3 - 16074*t**2 + 16988*t + 32760 = 0.\nAnswer: -234, -70, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*o + 2188*o - 97230 = -253*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 440?\nAnswer: -3\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/4 - 5337*x**2 + 9076241*x\/4 + 4548795\/2 = 0?\nAnswer: -1, 435, 20914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**3 + 5*a**2 - 126. Let i(c) = 11*c**3 + 11*c**2 - 251. What is -9*b(t) + 4*i(t)?\nAnswer: -t**3 - t**2 + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**5 + 216*n**4 + 3504*n**3 + 16160*n**2 + 29184*n + 18432 = 0. Calculate n.\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011111001010 (base 2) in base 14?\nAnswer: 39d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -38013?\nAnswer: 38007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 169, -24, -0.9, 0.22, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1504, 1583, 1674, 1783, 1916?\nAnswer: 2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/2)*r)\/r*r**25 assuming r is positive.\nAnswer: r**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c**2 + 7 - 7 + (4 - 5 - 1)*(2*c**2 - 3*c**2 + 0*c**2) - 4*c - c**2 + 4*c)*(-4 - 1 + 6)*(-2 + 10 + 2) as q*c**2 + n*c + f and give q.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -1 - -3) + 2314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 11144.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*s - 1)*(-24*s**3 - 38*s**2 + 38*s**2) + 3*s**4 + 2*s**4 - 2*s**4.\nAnswer: -69*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 8*r**2 + 14*r + 20.\nAnswer: -2*(r - 2)*(r + 1)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -808049.\nAnswer: 161609.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 739110000 rounded to the nearest 1000000?\nAnswer: 739000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1975)\/(-250) - (7 - -1))\/(7\/(-2))\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x*x)**21\/(x**8\/(x**(-11)\/x)) assuming x is positive.\nAnswer: x**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814.4062 rounded to the nearest 10?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235168 is divided by 47030.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563 plus -1.8781479?\nAnswer: 1561.1218521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from gdddgg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003025071 to 5 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*x + 4060 = 115*x. Let u = x - 382. Let w(y) = -5*y**2 + 4*y + 3. Let p be w(-4). Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1368)*-2)\/(sqrt(72)*4*5))**2.\nAnswer: 171\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 691 or 274?\nAnswer: 691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3305 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 14. Calculate the smallest common multiple of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 2*a + 47*a**3 - 7*a + 3*a.\nAnswer: 47*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 34, -507 = -j - j + f - 518. Let d(c) = -c**2 + 9*c - 8. Let u be d(6). Let w be ((-4)\/(-2))\/(4\/u). Solve 22 + j = -w*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313299820.\nAnswer: 2, 5, 137, 114343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Suppose 3*b = -3*b + 6. Factor -3*g - 2*g**3 + u*g - g**2 + 0*g + b + g**3.\nAnswer: -(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10757525 is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-24))\/(2\/(-9)). Let j = -2565 - -2568. Factor 1\/4*w**4 + l*w**2 + 1\/4 + w + w**j.\nAnswer: (w + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28748990 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2609*h**3 - h**2 + 2*h**2 - h**2.\nAnswer: 2609*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/5*50\/30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 6607046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h. Let b(r) = 9*r + 12*r - 38*r + 6*r + 14*r. Calculate 5*b(g) - 2*d(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 12*k**2 - 39*k - 3. Determine v(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-36) + (-2)\/9. Let u be (v\/2)\/(-4 - -2). Let t be (-1 + u)\/(2\/(-6)). Solve -2*y - t*y = 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*z - 32, -48 = -6*h + 2*h + 4*z. Suppose h*c - 40 = 3*c. Is 12 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 48*i + 3631. Calculate l(-76).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10385958*h**2*v + 25477469*h**2 wrt v?\nAnswer: -10385958*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 3*q - 2*q)*((0 + 4 - 6)*(24*q + 6*q + 4*q) - 3 + 3 - 2*q + 2*q + 2*q - 5*q + (2 + 1 - 4)*(2*q - 3*q - q) - 2*q + 0*q + 0*q).\nAnswer: 71*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.5609 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 4 (c) 157 (d) -1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiip when four letters picked without replacement from xupxipxuxoxuxxuoorui?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -12. Sort -3, q, 1 in decreasing order.\nAnswer: 1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**3\/11 - 30*u**2\/11 + 36*u\/11.\nAnswer: -6*u*(u - 1)*(u + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 761\/42 - 370\/21. Let t = 2.9 - -5.3. Let u = t - 8. What is the third biggest value in -0.2, 3, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -7*a - 896. Let r = a - -256. Does 32 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10*p = -o + 17, 2*p = 2*o - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 307464 and 7908?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 9. Let k be 3 + (-1 - -2) + -1. Suppose 2*u = -q + 6, 2*q = k*u + v*q - 14. Solve -3*s - u*a = -4*a - 6, 3*a = -9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000613901758 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6039 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5158*x - 4702*x - 20064 = 0 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*n - 1)*(3 - 5 + 0) - 4*n + 3*n + 0*n + 7*n - 6*n - 10*n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-11) + 14\/(-77). Suppose a*b + 4*b - 30 = 2*s, 2*s - 5 = -3*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000075802 rounded to 6 decimal places?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5 - 27*y**4 + 121*y**3 - 93*y**2 = 0?\nAnswer: -31, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.2, -2, -3, 176 in decreasing order.\nAnswer: 176, 0.2, -0.4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 108\/5 - 24\/540*-9. Suppose -2*i - 314 = -4*p, 3*p + 0*i - 3*i - 240 = 0. Calculate the highest common factor of u and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w**2 + 5*w - 7. Give a(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**39\/(f\/f**20))\/((f*f**(2\/91))\/(f\/f**(-3\/10))))**(13\/5) assuming f is positive.\nAnswer: f**(53033\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26193*0.042.\nAnswer: 1100.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 1 + 4 - 3*g)*(0*g + g + g)*(9*g + 2*g - 27 - 10*g) in the form q + l*g**3 + z*g + k*g**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 220\/(-33) - (-4)\/6. Let c be (-45)\/(-10)*(-8)\/z. Solve 0 = -5*f + j + 4, 2*f + j = c - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127391263 divided by 26153?\nAnswer: 4871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 5*a - 3. Let m be i(5). Let y be 4\/6 + m\/(-9). Suppose -5*z - 2*w = -11 + y, 0 = -5*z - 4*w + 20. Sort -4, 5, z in descending order.\nAnswer: 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (242209\/(-582))\/((-12)\/(-16)). Which is smaller: i or -555?\nAnswer: -555","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q - 4*q)*(15*q**3 - q**4 - 15*q**3 + (2*q**4 - 2*q + 2*q)*(-17 + 2 - 1)).\nAnswer: 99*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4419412t to kilograms.\nAnswer: 441.9412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1852*n + 46208 - 46208)*(-7*n + 7*n + 6*n**2) - 5*n**3 + 2*n**3 + 2*n**3 in the form b*n**3 + y*n**2 + g + s*n and give b.\nAnswer: 11111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 6. Let y be n(11). Let q be ((-2)\/(-1))\/(-2) - -33. Calculate the highest common divisor of q and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 132413 = 5*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 264*v - 122 + 122 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (1 - 0))\/1. Let x = r + 8. Solve -5*j - 10 = 3*s + 2*s, 0 = 3*j + 4*s + x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2624645 divided by 5.\nAnswer: -524929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 10*y**2 - 1. Let w be (-4)\/(-10) - 52\/5. Let l be t(w). Let h be l*(-1 - (-9)\/8). What is the third smallest value in 5, -1\/3, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1309357 and 385105.\nAnswer: 6546785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let g be i(0). Suppose g = l - 2*l + 181. Suppose -5*a - 4*n + 0*n = -l, -4*a + 3*n + 151 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 70*o**2. Let j(q) = 3*q**2 - 4*q - 2. Let k(c) = 10*c**2 - 14*c - 7. Let d(z) = -7*j(z) + 2*k(z). What is y(d(f))?\nAnswer: 70*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48*(-16)\/64*(5 + 1). Let o be (-13)\/((-65)\/10)*2\/w. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p + 102. Determine w(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -102281333*k**4*q + 49639*q - 7223 wrt k?\nAnswer: -409125332*k**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) 3 (b) 1.3 (c) 2\/5 (d) -4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + 460. Suppose 10*w = 274 + t. Let g = w - 83. Solve s = -g*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 5*c**2 - 4*c + 4. Let x be q(4). Suppose -5*f = x*d + 11, 3*d - d = -f - 7. Is f at least as big as -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43*0.03\nAnswer: 1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -60*v**3 - 1584*v**2 - 1056*v + 32. Let b(d) = -12*d**3 - 317*d**2 - 211*d + 6. Let c(r) = -16*b(r) + 3*o(r). What is a in c(a) = 0?\nAnswer: -26, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12641*j**3*p + 4342*j**3 + 129*j + 14353*p - 4 wrt j.\nAnswer: -75846*j*p + 26052*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((11 - 6) + -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 + -194. What is the remainder when 106 is divided by ((-228)\/(-8))\/(z\/4)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-14)\/18 - (-68)\/18. Suppose -a*z + 94 = -66. Let q be (-602)\/(-10) - 8\/z. What is the highest common divisor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2 = 4*q + 2*r, -q + 11 = 3*r. Does 8 divide (-9 - -3)\/(q\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216586195 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: What is -37b42a (base 12) in base 7?\nAnswer: -10513516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:21 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**3 - 2*a**2 - 2*a. Let w(y) = -13*y**3 + 5*y**2 + 4*y - 1. Determine -5*i(h) - 2*w(h).\nAnswer: -4*h**3 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 13, 0.3, 101.44, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/24*6\/28. Is 26 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**6\/288 + 17*m**5\/480 - m**4\/16 - 3*m**3 - 9*m. Let f(o) be the second derivative of u(o). Factor f(v).\nAnswer: -(v - 3)*(5*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 13*b**2 + 13*b + 13. Calculate i(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17698040 = -75*d + 708*d + 3225128. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-3))\/(-5)*-18. Calculate the highest common factor of o and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1, 7, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2055*g**6 - 2*g**5 + 9*g**3 - g**2 - 4876*g + 1?\nAnswer: 246600*g**3 - 120*g**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4638206.3 rounded to the nearest 1000?\nAnswer: 4638000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.457 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (-5)\/(-10) - 105\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4030429?\nAnswer: 13, 389, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-17028)\/77)\/18)\/((-1)\/((-28)\/(-16)))\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.8 + 5.891. Let r = -0.091 + g. What is the third biggest value in 17, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-4)*47 + 10\/20. Let u = t - -222. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 3*g**2 + 32*g - 233. Calculate h(6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-22)\/33*63\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-8))\/((1\/10)\/(20\/(-25))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 313 + 10?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 13 = -d + 45, -3*f - 2*d + 85 = 0. Let r = f + -20. What is the second derivative of 11*x + 10*x**2 - r*x + 10*x wrt x?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1651071 - 1650849.0097. Let k = 222 - p. What is k rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 - 4*a**2 + 4*a - 2. Calculate p(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a**5 + a + 4. Let o(h) = -h**5 - 1. Let k(d) = -4*o(d) - w(d). Find the second derivative of k(q) wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -12.8803, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 339994977 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/21 + (-100)\/(-525). Suppose k - 4 = -0*k. Which is the closest to 1? (a) k (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -11, 2\/17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 8. Let x = -25\/234 + -3\/26. Let y = -8.2 - -8. What is the closest to y in 0, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.4 + 5.4. Put 3, -18, w in descending order.\nAnswer: 3, w, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/228)\/((-74)\/111).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -174, 15, 83?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 15 = g, 2*x - 4*g + 15 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/7 + 15\/(-42)*4. Let c be z\/(-3 - (-20)\/8). Solve -3*o + c = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 22551*q\/2 + 11275.\nAnswer: (q + 1)*(q + 22550)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -2b7c481?\nAnswer: 2b7c477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -252618 and 3980.\nAnswer: -248638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -858 + 4294\/5. Let r be 0*(4\/6 - 6\/18). Suppose 0 + 2\/5*z**3 + r*z - c*z**2 = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-50))\/(2\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*f**4 + 4392*f**2*t**2 - 11*f - 2*t**2 - 15*t + 4 wrt f?\nAnswer: 204*f**2 + 8784*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16065948.\nAnswer: 2, 3, 769, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 90*z + 95. Determine k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 - -139. What is the remainder when 16 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -16. Suppose -4*u = s*p + 11199985, -4*p = -5*u - 9341671 - 4658341. What is u rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -19)\/(27\/(-27) - -2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 1061113.3689.\nAnswer: -1061113.4689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*z + 6 = 0, -2*z = 4*c + 2*z + 12. Let p be 7 + -4 + 2 - c. Suppose v + v - p = 0. Solve -v*w = -0*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b - 5*b + 28*b + 26*b + 23*b.\nAnswer: 97*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*3*(-5 + (sqrt(17) - (-3 + sqrt(2448))**2) + ((sqrt(17) + 4)*-2)**2)*4.\nAnswer: -37800*sqrt(17) + 838800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -13 + 3*q**2 - 6*q**3 + 10*q**3 + 18*q**2 + 40 - 5*q**3 - 21*q. Give l(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*f + 129*f**2 - 80*f - 128*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + f + 12, -5*f + 4 = m - 5*m. Suppose -20 = -m*s - 8. Solve 5*x + 0*x - 2*q = -21, -s*x - 2*q - 19 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 20222021?\nAnswer: -20221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 15142521?\nAnswer: 15142534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3102 (base 4) to base 15\nAnswer: -e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -3*k - 3\/2*k**2 + 8 + 1\/3*k**3. What is b(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 642 + -646. What is the fourth smallest value in 0.3, -0.11, -0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-4)\/(4\/5). Suppose -3*h + 54 = 2*z, 19 = 4*h + d. Suppose -z - 3 = -3*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - o**4 + 0*o**4)*((0 - 1 + 0)*(-o - 2*o + 5*o) - 3*o - 3*o + 3*o).\nAnswer: 5*o**5 - 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -413 or -412?\nAnswer: -412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*g**4*l**2 + 2*g**2*l**2 + 3*g*l**2 + 4*g*l + g - 42*l**2 wrt g?\nAnswer: 1656*g**2*l**2 + 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/4*(-4090)\/25 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*r - 20 = -t, 4*r + 26 = 10*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 10 - 22 - 42*r**2.\nAnswer: -42*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-11\/4))\/i)\/i)\/(i*(i\/((i**(-29)*i)\/i))\/i*i))\/((i*i**(-2\/35))\/i**16) assuming i is positive.\nAnswer: i**(-1987\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1587*l**2 - 134*l + 1567. Is u(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 53*a - 300. Let n be z(12). Calculate the greatest common factor of n and 756.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 751037\/563280 + 1\/187760. Find y such that -2\/3 - 2\/3*y**2 - d*y = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/5, -3, -1 in descending order.\nAnswer: -1, -12\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 8*t + 17. Determine h(11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -885588725*m**3 + 721128575*m wrt m?\nAnswer: -5313532350*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 379\/9 + -1489\/36. Let g(u) be the first derivative of -l*u**4 - 75*u - 105\/2*u**2 - 11*u**3 - 13. Factor g(a).\nAnswer: -3*(a + 1)*(a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -2 + -1 + 2 + sqrt(2))*6 + 5)**2.\nAnswer: -96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-3 + 2 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216106867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {y: 1, d: 4, c: 3, n: 4, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) 309.5 (c) 1\/2 (d) -0.5 (e) 2\/5 (f) -36 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5979513cm in millimeters?\nAnswer: 5.979513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/15)\/(312\/(-6760)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 11*d**2 - 8*d + 4*d**2.\nAnswer: 15*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (-4 + (-5 - -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146 + 72. Let w = 74.2 + p. Which is the smallest value? (a) 2 (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**2 - 6*o. What are the prime factors of f(5)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 729 and 30402.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 7*h. Let x be r(7). Let j = x + 9. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55401510?\nAnswer: 2, 3, 5, 599, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x + 5. Let w(u) = -35*u - 14. Calculate -17*o(b) - 6*w(b).\nAnswer: 6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403208915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 7*j - 1. Let p be f(6). Put -2, 0, p, 8 in descending order.\nAnswer: 8, p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 20 = 0, -5*w + 721 = -3*a + 726. Let q(l) = -2*l**2 - l. Let c be q(-2). Sort w, c, 4, -1 in descending order.\nAnswer: 4, -1, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1615 by 323.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*y = -25*i + 228*y + 103, -y = -i + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**7\/210 + 41*c**5\/30 + 13*c**4\/6 + c**3\/6 - 173*c**2. Find the second derivative of u(w) wrt w.\nAnswer: 12*w**2 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 10*a - 8. Let z be i(1). What is the derivative of 2846*q - 9 - 20 + 3*q**z - 2856*q wrt q?\nAnswer: 6*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 3:39 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 + 2674*l\/5 - 1787569\/5.\nAnswer: -(l - 1337)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y - 30000 = -2*y. Calculate the remainder when y is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4833640292171 + 11276993975361914606\/2333023. Let w = z - -4\/5173. Let m = 3\/41 + w. What is the common denominator of m and 17\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 9*v**2 - 4*v - 9. Let h = -15 - -25. Is n(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11011780?\nAnswer: 2, 5, 13, 41, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*n**2*o**4 - 38*n**2*o**3 - 20*n**2*o**2 - 4*n*o**4 - 335*n*o**2 wrt o.\nAnswer: 192*n**2*o - 228*n**2 - 96*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 797611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -27, -57, -103, -171, -267, -397, -567?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -102555 divided by 45\nAnswer: -2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = l + 59, -4*l + 1099*y = 1097*y + 38 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1725206*0.143\nAnswer: -246704.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4893.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -0.3, 1, 1031 in decreasing order.\nAnswer: 1031, 1, -0.3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a + 6. Let g(d) be the first derivative of 3 + 5\/2*d**2 + 7*d. Let s(k) = -6*g(k) + 7*o(k). Let v(z) = 7*z**2. Calculate v(s(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*a + 14096, 7036 = -3*a + 4*a - 5*p. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 2282 = -578. Let w be 10\/a - (-3)\/6. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163704.6 + -163676.985116. Let o = g + 0.384496. Let j = o - 28. What is j rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 0, 0.5, -2\/7, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*u - 6, 190 = 4*n - 2*u. Calculate the remainder when n is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8863878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 93.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/7)\/(3\/21). Let u(l) be the first derivative of -1 - 1\/20*l**k - 1\/5*l**3 + 1\/10*l**2 + 2\/5*l + 1\/25*l**5. Find z such that u(z) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -80*q + 69*q. Solve -2 = -15*i + q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32137 + -27177. Calculate the greatest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -640 * -0.3\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 1800.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1400 and 350.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*x + 11 = 2*w, 5*w + 4*x - 3 = 0. Suppose -8*b + 6*b = -2*c - 8, 2*c + 8 = -4*b. Let h be -3*c\/(-15) + (-248)\/40. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 29 - 25. Let v be (6\/(-10))\/(5 - p - 4). Let o = v + 2\/5. What is the third smallest value in 0.5, o, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 5. Let p be q(-5). Solve 0 = v - p*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 578 + -4848b?\nAnswer: -47c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 3*g**2 - 3*g + 5. Let m be j(5). Let l = m + 120. Suppose 4*c = -l + 184. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16424966*d**3 - 2189576*d?\nAnswer: -98549796*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 143000075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 21*z - 10 = 5*n, -3*n - 12 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15833, 31650, 47453, 63236, 78993, 94718?\n\"Answer: -n**3 - n**2 + 15827*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*l + 16*r - 14*r + 30 + 23, r = -5*l - 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 17 = 5*c, 5*c - 7 = 3*f + 6. Let a be (14\/f)\/(4\/8). Let o = a - 2. Solve 0 = -o*r + r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -979758*j**5 - 8*j**4 + 642*j + 5873 wrt j?\nAnswer: -19595160*j**3 - 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 292*y + 302*y + 35 to the form i + l*y and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3771*r + 440 + 0*r**2 + 28 - 2*r**2 + 33 + 3762*r as q*r**2 + p + y*r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 4*c + 3, 9*s + 4 = 5*s + 2*c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, -0.2, -143, 2\/10955, 0 in decreasing order.\nAnswer: 1\/16, 2\/10955, 0, -0.2, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbcbcbb. Give prob of sequence cbbc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o - 1138. Calculate t(67).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*c - 2*c + c - c - 2*c - 4*c + 4*c + (0 - 1 + 2)*(-1 - c + 1) + 0*c + c - 3*c + (-24375 + 24375 + 154*c)*(-1 + 3 + 0)*(2 + 4 - 3).\nAnswer: 919*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(-4\/5)\/v))*v*v**(1\/9)*v)**(3\/29))**50 assuming v is positive.\nAnswer: v**(590\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 2. Let y be j(4). Let n be (18\/(-10))\/(3\/(-45)). Suppose n*b - 22*b = 0. Solve b*f + 3*f = -y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.53 - 3.47. Put -0.3, m, 3, -3 in decreasing order.\nAnswer: 3, -0.3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17055585*v**3 - 6*v**2 - 1263232 wrt v.\nAnswer: 102333510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -23*x + 82. Let s(l) = 44*l - 165. Let a(w) = -9*i(w) - 4*s(w). What is the units digit of a(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 93, 379, 861, 1539, 2413, 3483, 4749?\n\"Answer: 98*y**2 - 8*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6794*j - 5*j**3 - 14671*j + 7877*j.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2 - 3*t - 3. Let n(p) = -26*p**2 - 14*p - 14. Determine -3*n(l) + 14*y(l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*d = -205*d - 363 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/10 - (-2)\/(-5). Let v(s) = -s**3 - 8*s**2 + 11. Let u be v(t). Suppose m = -0 + u. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24769 (b) -21 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000301 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaaaklaia. What is prob of picking 4 a?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108\/216*(-1 - -6319).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2631*m + 1826 = -2609*m. Calculate the remainder when 103 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*m = 15, -2*m = r + 2 - 12. Suppose l + 2*d - 132 = r, 4*d - 6*d = 2*l - 264. Suppose -l = -a - 13. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 15 = -17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522, 1988, 4426, 7830, 12194, 17512, 23778?\nAnswer: 30986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60006 by 137.\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 70936 and 70396 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 7083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*a**4 - 4*a**2 - 1 - 20*a**3 + 4 + 18*a**3 + 7 wrt a?\nAnswer: 792*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7287344.61 to the nearest ten thousand.\nAnswer: 7290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -24. Suppose 4*r + 5 = -3*m, b*m + 3 = r - 5*r. What is the units digit of 445\/10 + r\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 6:13 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 234428560, 234428559, 234428558, 234428557?\n\"Answer: -t + 234428561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + d**2 - 6*d)*(-4*d**2 + 23*d**2 + 11*d**2).\nAnswer: 30*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + (-5 - (-1 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -25. Let p(r) = 2*r - 5 + 4 - 3*r - v. Suppose -4*h + 32 = -4*j, 0 = -h + 21*j - 22*j + 4. What is p(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, 16, 0, -0.9, 2\/19?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) -0.01 (c) 4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 + 670 = 35*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/9020 and -59\/60.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:58 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 3. Let b be y(7). Suppose b*c - 74 = -10. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k + 37*k + f - 2 = 0, -12*f + 16 = -8*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2593, -0.4, 0.1, 0 in decreasing order.\nAnswer: 2593, 4, 0.1, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -5*g**4\/24 - g**3\/3 + 5*g**2. Determine q(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12\/(m\/m**(6\/5)*m*m))\/(m\/(m*m\/m**29*m)*(m*m**(-32)\/m)\/m) assuming m is positive.\nAnswer: m**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17517.36311 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/(115\/((-267375)\/45)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 + 129.43. Let z = 21.4103 - 21.83. Let x = o + z. What is x rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-3)\/(-135))\/((-11)\/660*-12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(6 - (-91)\/(-14)). Suppose -z = a*m - 15, -z - 7 = -3*m + 3. Let v(p) = -p**2 + 3*p + 6. Calculate v(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 124931, 124947, 124969, 124997?\n\"Answer: 3*t**2 + 7*t + 124921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32368049 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 20 - 110 = 0. Let w be (-42)\/(-9) + 1\/3. Suppose -w*j + 0*j - 65 = -5*r, -4*j = 4*r - 92. What is the lowest common multiple of r and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q - 5*q)*(-4*q + 4*q + q**3) - 3*q**4 + q**4 + 0*q**4 + (3 - 2 - 7)*(-q**3 + q**4 + q**3) + 17*q**2 - 17*q**2 - 2*q**4.\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiyy when four letters picked without replacement from {y: 8, i: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 3*p + 12, p - 21*d + 4 = -18*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 513569 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + q**2 + 0*q**2)*(84*q - 173*q + 34*q) - 144*q**3 + 115*q**3 - 37*q**3 - 161*q**3.\nAnswer: -337*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 18*n - 18 = 20*n, 2*v + 4*n = 5*n - 15 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvt when three letters picked without replacement from ttvwxvtatw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 6*o**2 - 5*o - 5. Suppose -4*k + 3*p = -37, -6*k - 4*p = -k - 23. Let d be z(k). Let a = 9 - d. Which is bigger: 1\/3 or a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6 = 2*g, 2*g - 9 = -3*j + 5*g. Suppose j = -4*f + 116 + 200. Let l be 237\/2*(247\/(-57) + 5). Is f at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 385?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**3 + 7*q**2 + 11*q + 8. Calculate a(-3).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1546148954 - -14243\nAnswer: -1546134711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003 - -10?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c**3 + 4*c**2 - 18*c - 121. Let d(u) = 2*u**3 + u**2 - 4*u - 30. What is -9*d(a) + 2*f(a)?\nAnswer: -2*a**3 - a**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6280354425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4412055 - -143?\nAnswer: -4411512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 146*s**5\/5 - 13*s**4\/3 + s**3\/3 + 4119*s. What is the third derivative of p(r) wrt r?\nAnswer: 3504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:44 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14*b**3 - 3*b**2 + 3*b - 1. Let z(c) = -c + 1. Let n be z(-2). Suppose n*g + 4*g - 14 = 0. What is the units digit of m(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (28 - (-62 - -55))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1 - 4*m**2 - 8*m + 6*m + 7*m**3 + 4*m**2. Let x be p(1). List the prime factors of 78\/(-65)*(-220)\/x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*v = 234694 - 234754 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + -3)\/9*45. Let h = b - 13. What is the second derivative of 6*q + q**5 - h*q**5 - 12*q wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -213*f + 13454 with respect to f.\nAnswer: -213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -13, 11, 35?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v - 17. Let z be a(-8). Let n be 7 + (3 - (2 + 3)). Let w(b) = -z + n + 2*b - b + 6. Calculate w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)\/u)\/u**(8\/5)*u**(-1\/4)\/(u\/u**8) assuming u is positive.\nAnswer: u**(707\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/18*1\/10.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*m - 153 = 4*m. Let q(d) = 2*d + 10. Let l be q(-7). Put l, -3, m, -5 in ascending order.\nAnswer: -5, l, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 363116*n*s**3 - 24970835*n + 18*s**4 wrt s.\nAnswer: 1089348*n*s**2 + 72*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -320\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40451*v**4 - 2*v**3 + 21*v**2 - 10518197*v?\nAnswer: 485412*v**2 - 12*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n + 7 + 2*n - 1. Let w(c) = -3*c - 2. Let j(k) = 3*m(k) + 8*w(k). What is the first derivative of j(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 13*i + 30. Let d be r(-12). What is the greatest common factor of 27 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**3 + 88*v**2. Let z(w) = -4*w**3 + 89*w**2. Calculate 4*j(m) - 5*z(m).\nAnswer: 4*m**3 - 93*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + b**2 + 2*b + 4. Let f = -1 - -1. Let r be g(f). Suppose -2*q = r*c + q - 136, -3*c = -4*q - 127. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h\/h**(2\/9)*((h\/h**2)\/h)\/(h*h*h**(-7)*h))\/(((h\/h**(4\/5))\/h)\/h*h**(-2\/7)\/h*h)**(17\/3) assuming h is positive.\nAnswer: h**(2393\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 0*l + 20 = 0. Let z be l + 20 + 0 + 2. Is 18 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*v + 331 = 0, o + 3*v - 8*v - 304 = 0. Let i(m) = -o + 60*m - 328 + 647. Let h(d) = -4*d**2. Determine i(h(q)).\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 24, 83, 196, 381, 656, 1039, 1548?\n\"Answer: 3*t**3 + 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4732 and -37\/7.\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197446, 783429, 1760068, 3127363, 4885314?\nAnswer: 7033921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 18 = g, -4 = 2*g - 6*g - d. Let p = -2 + g. Suppose p = -c - 1 + 3. Solve -7 = c*x - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -1*(-1*sqrt(84) - sqrt(84))) + (3*(sqrt(84)*1 + sqrt(84)) - sqrt(84)))\/(sqrt(192)*-3*-2)*5.\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171\/119 + 3061\/6188. Calculate the common denominator of -65\/12 and w.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-99) + ((-1806)\/396 - -5). Suppose 3*p - 2*a = -0*p - 7, -8 = p + 5*a. What is the nearest to -1\/4 in -4, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 - -127.2. Let f = -92.2 - -92. What is the closest to -3\/2 in f, 0.4, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 3) + 1 - 1. Suppose -c*f - o + 3 + 7 = 0, -f + 4*o - 13 = 0. Which is greater: f or 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4.0000155. What is s rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55568194*m**2*s**3 + 15*m**2*s**2 - 488*m**2 + 2573 wrt s.\nAnswer: -333409164*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*p + 707*p + 814*p.\nAnswer: 1053*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(50\/(-4))*(-490)\/(-343)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*t - 3*v, -5*t - 5*v = -24 - 6. Let i(q) = 2*q - 5 - 4*q**3 + 5*q**3 + 0*q**3. Is i(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.86 + -11.86. Let n(i) = -i**2 - 3*i. Let q be n(-3). Put q, a, 2 in decreasing order.\nAnswer: a, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169514?\nAnswer: 2, 131, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*l**2 - 2016*l + 2332 = 0 for l.\nAnswer: 53\/41, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/24, 2, 3, -311\/5?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -685 + 684.3. Sort -3.1, -0.4, m.\nAnswer: -3.1, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1. Let b(k) = 4*k - 5. What is b(h) - 2*y(h)?\nAnswer: 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2 - 264*w - 2 + 251*w. Let f(z) = z**2. What is q(f(u))?\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/13 - (-54)\/(-234). Which is the fifth biggest value? (a) -107 (b) 0.1 (c) y (d) -5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116136582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h**3 + 3*h)*(5*h - 4*h + h + 1).\nAnswer: -4*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 66*w - 3267.\nAnswer: -(w - 99)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -57. Let c(g) = -g - 1. Let p(d) = d**2 - 14*d + 3. Let t(b) = -4*c(b) + p(b). Let a(o) = o. Let h(q) = k*a(q) - t(q). Give h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343236 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6*5566\/12672 - ((-6)\/(-9) + 2)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -3, 0.2, 22.82, 1 in decreasing order.\nAnswer: 22.82, 1, 0.2, -1\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43092 and 9044.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/((-2176)\/(-60))*-4. What is the nearest to 0 in t, -12, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -6624?\nAnswer: 7\/3312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6038*f**4 + 19*f + 283. Let r(j) = 1208*j**4 - 4*j - 56. Let y(o) = -2*i(o) - 11*r(o). What is the second derivative of y(z) wrt z?\nAnswer: -14544*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3220211 (base 4) in base 3?\nAnswer: -202102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6694 - 5339. What is the highest common divisor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 882965 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 32 - 3 = 0. Solve v = 5*z - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1947858 + 10388836 = 91*c. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, 81, 2 in increasing order.\nAnswer: -1, 2, 13, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + -36 + 93 + -48?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((28\/12)\/(-7))\/(2\/30). Is 18 a factor of (-1)\/5 - t\/(125\/1355)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(832) + 0 + (sqrt(91)\/sqrt(63) - 3*sqrt(26)\/sqrt(2)))*4)**2 + 5.\nAnswer: 18432*sqrt(13) + 218181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*c*y**2 + a**2*y**2 + a*c - 6*a*y - c*y**2 + 2*y**2 wrt c.\nAnswer: 3*a**2*y**2 + a - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15091, -30200, -45335, -60508, -75731, -91016, -106375?\n\"Answer: -2*f**3 - f**2 - 15092*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*o**2\/9 + 6*o - 32\/9.\nAnswer: -2*(o - 1)*(11*o - 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2661*a**2 + 4*a**4 + 0*a**3 + 3*a**3 - 2*a**3 - 1 + 2646*a**2 - 12*a as x*a**4 + v + m*a**2 + g*a**3 + h*a and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100434160 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 = -7. Suppose -4*l - c = c - 34, k*l - 37 = 3*c. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12*d + 967. What is i(-80)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 78. Which is the third smallest value? (a) 35 (b) n (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 228\/3319?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49 and -4899.\nAnswer: -240051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2747656*f*p + 46*f + 265262714*p with respect to f.\nAnswer: -2747656*p + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*o - 2012, -1395 = 4*h - 5*o - 9343. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 6*z**2 - 7*z + 7. Let y be x(-7). Let u = -29\/4 + y. Which is bigger: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4194*w**2 - 2345*w + 9355436 wrt w.\nAnswer: -8388*w - 2345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 35332 (base 8) to base 4\nAnswer: 3223122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 + 72 - 165 + 78 - 7*q**2. Give g(-9).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12547 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/4*(-1)\/4*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 361246438 and 3202?\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 172, 2, 1, 152 in decreasing order.\nAnswer: 172, 152, 11, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -489 - -492. Suppose 0 = 4*x - 4*s - 200, b*x - 2*s - 2*s = 151. What is the remainder when 144 is divided by x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195269717771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*c**3 - 19*c**3 + 16*c**3 - c**3 + 2*c + 1 - 1 + 14*c**3 + 20*c - 20*c + (c**2 + 3*c**2 - 2*c**2)*(1 + c - 1) + 2*c + 3*c**3 - 2*c.\nAnswer: 39*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) + (sqrt(171) - -1*-2*sqrt(171))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -2*sqrt(78) - sqrt(78))\/sqrt(6) - (3*sqrt(13))**2*6)*6.\nAnswer: -4212 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2723 divided by -7.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -18 (c) -0.8 (d) -22 (e) -0.0113 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552\/15199 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 4*h - 4. Suppose -2865*u = -2823*u - 126. Let o(z) = -5*z**2 - 4*z + 5. What is u*m(l) + 2*o(l)?\nAnswer: 2*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y + k - 10 = 21*y, 3*y - 22 = -4*k. Solve -h = -4*b - 16, y*b - 3*h = -9 + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -26580 (c) -7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.65 * 1\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 5. Let j(q) = 6*q - 21. Let t(h) = -7*h + 21. Let z(w) = 2*j(w) + 3*t(w). Let x(s) = -21*d(s) + 5*z(s). Let u(i) = -3*i. Determine u(x(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 97\/3. Let h = 1\/39 - -32\/273. Which is the closest to -0.1? (a) v (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 252 - 252. Solve j = 5*h - 0*a + 2*a - 15, 4*a - 20 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 1:57 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = 11 - 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114 - -99. Let q(w) = w**2 - 7*w. Is 11 a factor of q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)*f*f**(-1\/8)*f**(-3\/2)*f**(-3\/2)*((f\/((f\/(f\/(f\/f**(-1\/3)))*f*f*f)\/f))**(-4))**8 assuming f is positive.\nAnswer: f**(1549\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-2 + 1 + 1))*-2. Solve 4*y - 4 - r = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -92. Is 5\/(r\/2) + 1245\/11 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10007737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + 5*t + (3*t + 0*t - 2*t)*(4 - 4 - 1) - 2*t + 1 + 4*t + 0)*((3*t - 3*t - 2*t)*(1095 - 198 - 417) + t - 4*t + 0*t).\nAnswer: -2889*t**2 - 963*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 7*v**5\/30 + 2*v**3 - 23*v**2. Find the first derivative of i(o) wrt o.\nAnswer: 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 9)*(-2*p - 2*p + p)*(7*p + 29*p + 92*p) to n + q*p + k*p**2 and give k.\nAnswer: -1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-17\/5)*c**(-21))\/(c**(-6\/7)\/(c*c\/c**(3\/13))) assuming c is positive.\nAnswer: c**(-9907\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 26*f - 1240. Determine k(47).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -113255\nAnswer: -113252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78\/(-26) - 10\/(-3). What is the closest to -5 in n, 2\/7, -1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 8*a + 3*a)*(-40 + 51 + 22)*(0 - a**4 + 0).\nAnswer: -297*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0 - 7\/60*x**5 - 1\/120*x**6 - 19*x**2 + 1\/3*x**3 - 1\/3*x**4 + 0*x. Calculate k(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121048625?\nAnswer: 5, 968389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3670427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(6))\/sqrt(3) - sqrt(2))*-3 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -5, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -936\/6839 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*g + 25, 15*g - 14 = 2*z + 11*g. Let s = 0.6 + -22.6. Let q = s + 22. Which is the fourth smallest value? (a) z (b) -0.5 (c) 1\/8 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + -8 + 24\/8. Factor -15*a**4 - 75*a**4 + 3*a**x + 7391*a + 759*a**3 - 6803*a - 1260*a**2.\nAnswer: 3*a*(a - 14)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202210021 - 102001?\nAnswer: -210012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 4565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45940476?\nAnswer: 2, 3, 23, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 19*s**2 + 25*s - 123. Determine f(20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -5 (c) -2 (d) 1\/3 (e) 0 (f) 3\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 - 60. Calculate the remainder when z is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1573) + 0 + -2 + sqrt(13) + 1 + -1 + ((sqrt(208) - sqrt(208)*-2)*-3*2)**2).\nAnswer: -202170 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 + 33238*n\/3 + 276191161\/3.\nAnswer: (n + 16619)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/11 + 37\/55. Let x = 2.8 + -2.8. Let y be 1\/((-15)\/6) - 0. Which is the smallest value? (a) x (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10942\/359 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 29 - 5*q + 32 - 2*q + 4*q + 3*q + (0*q - 2*q + 0*q)*(-2 + 0 + 0).\nAnswer: 5*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:05 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -207 in -3, -2\/3, 0.46, -0.2, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2. Let n(c) = 393593*c. What is n(o(i))?\nAnswer: -1967965*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5751.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 807253 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 8. What is the third derivative of g**4 + 0*g**4 - i*g**4 - 6*g**2 wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 628766 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186489.\nAnswer: 3, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b + 108. Let g = b - -56. Let m = g - 6. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 46. Let f = -15 - m. Let n = 2 - 1. Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*v + 2912 - 42 = 0, -3*k = -4*v - 1722. Suppose k = 3*z - 368. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155987?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111111011 (base 2) in base 5?\nAnswer: -22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w - 205. Let z(g) = -8*g**2 + g + 2. Let x be z(2). Let d = x - w. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*t - 34 = 0, -3*t + 707 - 708 = -o - 0*t for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424881918?\nAnswer: 2, 3, 17, 179, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/39 and -59\/6968.\nAnswer: 20904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/3 - o**4\/3 + 5*o**3\/3 - o**2.\nAnswer: -o**2*(o - 1)**2*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4\/25 (b) 7284 (c) -1\/3 (d) 7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126673 is divided by 31637?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2306, -4385, -6550, -8801, -11138, -13561?\n\"Answer: -43*g**2 - 1950*g - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3800\/(-2660) + 3\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32982467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64555860 rounded to the nearest ten thousand?\nAnswer: -64560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 282 - 396. Which is smaller: -113 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 664, 1304, 1944?\n\"Answer: 640*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/(-2)*(-14)\/(-42). Sort a, -1, 2 in descending order.\nAnswer: a, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 s, and 1 z when four letters picked without replacement from {i: 1, s: 12, z: 5}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 15, 2.49.\nAnswer: 2.49, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + k)*(0 + 2 - 1)*(51*k - 26*k - 28*k)*(-14 - 52 + 19).\nAnswer: 282*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:07 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*c + 4*v - 6, 0 = 5*c + 4*v - 62. Suppose 11*o = c*o. Solve -9 = -3*r - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58037246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148900 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101201 (base 3) in base 11?\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - -5 - (2 + 1). Let t be (0 - 2)\/(-10 - 1). Let l = 57 - 227\/4. Which is the closest to l? (a) w (b) 5\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmimmmktibb. Give prob of picking 1 t, 1 k, and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {g: 4, f: 9, i: 6}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 20*x + 23. Let c be k(19). Suppose c - 2 = -a. Let n be 8\/(-2) - a - (5 + 9493). What is n rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 18*b + 729 = 0, -1098*b - 400 = 5*u - 1093*b for u.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4748 is divided by 200.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -24*n + 21. Let s(i) be the second derivative of 4*i**3\/3 - 7*i**2\/2 + 16*i. Let k(g) = -6*h(g) - 21*s(g). Differentiate k(b) with respect to b.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15599 + 5?\nAnswer: -15594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 take away -144.40654627146?\nAnswer: 146.70654627146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 + 215*a**2 + 44 - 120 - 213*a**2.\nAnswer: 2*a**2 - 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9323970*n**3 + 8722902?\nAnswer: 27971910*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20188 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -51222 + -136.8?\nAnswer: -51358.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -138, -288, -422, -534, -618?\n\"Answer: x**3 + 2*x**2 - 163*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 290456486 + -290456454.2742027. Let b = v - 56.4257802. Let n = 24.7 + b. Round n to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109269901 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27407279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9669.061us in nanoseconds?\nAnswer: 9669061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/4)*d**(3\/11))\/((d*((d\/((d**(-2\/19)*d)\/d))\/d)\/d*d)\/(((d\/(d\/(d**(-10)\/d)))\/d)\/d*d)) assuming d is positive.\nAnswer: d**(-11355\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18\/8*24\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.08, 4\/3, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 4\/3*c**3 - 1\/35*c**7 + 0 - 1\/336*c**8 + 0*c - 1\/30*c**5 - 11\/120*c**6 - 43*c**2 + 1\/2*c**4. Factor u(q).\nAnswer: -(q - 1)*(q + 1)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.65201ug to nanograms.\nAnswer: 3652.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f - 2. Let s = f - -1. What is the remainder when (4\/(-16))\/(s\/(-156)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-30 + 51 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**4\/60 - 2*t**3\/15 + 3*t**2\/10 + 6*t - 9. Let v(g) be the first derivative of q(g). Let v(a) = 0. Calculate a.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2197 = 11*m. Let f = m + 177. Solve -2*s + 4*s = f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1093*t + 1336*t = 299376. Calculate the highest common factor of t and 847.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7061398.\nAnswer: 2, 67, 52697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 + 6*d + 15. Let c(k) = -4*k**2 + 4*k + 15. Let p(t) = -2*c(t) + 3*y(t). Let u be p(10). Which is bigger: 16 or u?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 12*z**2 + 10*z + 13. Let c be u(11). Let d(t) = t**2 - 3*t. Give d(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2 - 14*u - 3. Let n(f) = -8*f**2 - 20*f - 4. Let i(g) = -7*c(g) + 5*n(g). What is i(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 - -1 - (-212 - -283 - 19).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 - 5*c**3 + 20 - 22 + 0*c - c. Let r be (0*(-2)\/4)\/(-2). Calculate d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z*z**(-9\/2)\/z)**(-20)\/(z**3\/(z**(-2\/7)\/z)*z**6*((z*z\/(z*z**(3\/5)))\/z)\/z*z) assuming z is positive.\nAnswer: z**(-1389\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.876894 millennia in centuries?\nAnswer: 38.76894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -104?\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 336953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16588, -66319, -149194, -265207, -414352?\nAnswer: -596623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 + -803?\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (6 + -2 - 5) + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p**2 - 5*p + 4. Suppose 0 = -5*r + 3 + 12. Let g be s(r). Suppose -5*l + 7 = -4*i, -i + l = -2*l + g. Solve -m - i = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 42*a - 20586 = 40*a, -5*x + 20568 = -4*a. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + f + 2*p - 16, 4*p - 8 = 0. Let z be (-8)\/f + 0 + 2. Solve z = -3*s + i + 7, 4*s - 2*i = 3*s + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - -8. List the prime factors of w.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2 - s - 3 + 0 - 2. Let d be y(-5). Factor 3*l**2 + l**3 + l**d - 2*l**2.\nAnswer: l**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 = 5. Suppose 71 - 17 = 2*q. Suppose 0*w - 4*w - x + q = 0, -2*x - 26 = -2*w. Calculate the highest common factor of w and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*i + 35, 7*i - 38 = 3*i + 2*w. Solve 0 = f + f + i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 5)*(-1 + 14). Let w = 6 + -13. Let i = f + w. Solve -n = -i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 + j + 3. Suppose -51*t = -43*t - 1096. Suppose t - 17 = 5*z. What is the remainder when v(-3) is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 56*h - 31. What is b(-27)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53185222*i**3 - i**2 + 75799070 wrt i.\nAnswer: 159555666*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x**4 + 139*x**3 - 5736*x**2 - 11491*x + 850 = 0 for x.\nAnswer: -25, -2, 1\/14, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xggcgggcgg. What is prob of sequence gccg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60275195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2\/5 + 58321*n\/5 + 6412026 = 0.\nAnswer: -57766, -555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.128, -4, -7 in decreasing order.\nAnswer: 10, -0.128, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -274688 (base 9) to base 15\nAnswer: -34972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/((z*z**(-1\/5)*z)\/z)))\/z)\/z)\/z**13*(z*z\/z**(-3\/2)*z*z*z)**(1\/31) assuming z is positive.\nAnswer: z**(-4337\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 + 4*f**2 - 2*f - 1. Let z(w) = 253*w + 283. Calculate the least common multiple of z(-1) and l(2).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a - 5. Let m(j) = -96*j - 668. Let n be m(-7). Let v(f) = -1. What is n*v(x) - c(x)?\nAnswer: 7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 263a?\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -24 (c) -0.3 (d) -2\/3 (e) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 13*z + 10 = 17, 2*z = 4*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10117308671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**3\/5 - 87*r**2 - 1266*r\/5 + 1704\/5 = 0.\nAnswer: -142, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j - 13. Is w(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*x + 10 = 0, -3*b - 30*x = -27*x + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(11\/2)*(q*(((q**0\/q)\/q)\/q*q)\/q*q)**(-25))\/(q\/q**(-6)*q*q**(1\/5))**(-1\/27) assuming q is positive.\nAnswer: q**(8317\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - 3. Determine j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h. Let o(p) = p + 8. Let f be o(-6). Let t(j) = -3*j**2 + 0*j**2 - 3*j**f + 4*j**2. What is u(t(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89199 divided by -5247.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -2. Let z(d) = -d**2 - 5*d - 2. Let o be z(w). Let c(y) = 11*y - 3. What is the units digit of c(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -549*-0.4.\nAnswer: 219.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*n - 85, 3*b - 305 = -2*n - 0*n. What is the highest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**4 + 5633*p**3 - 59*p**2 - 9936434*p wrt p?\nAnswer: -24*p**2 + 33798*p - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 + 22053*y**3 - 176676*y**2 - 441540*y = 0.\nAnswer: -7359, -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -4, -0.21, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 4*c)*((0 - 1 + 2)*(2 + 3 - 4) - 2 + 0 + 4 + (-20 + 25 - 13)*(4 - 3 - 2)).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0026 - -1.3974. Let u = -2.48 + 0.08. Let c = u + z. What is the nearest to c in -0.5, -2\/11, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15*(-18)\/27 + 15. Let w(g) = -3*g**2 + 1 + 3 + 0 - 5*g + g**3. Let t be w(4). Solve 5*l - z*h + 5 = 0, t = -4*l + 2*l + 3*h + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 18*q**2 + 11*q - 11. Let b(s) be the second derivative of -s**4\/2 - 2*s**3\/3 + 2*s**2 - 2*s. What is 4*a(c) + 11*b(c)?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 2*g**3\/3 - 2*g**2 - 3*g. Let a be n(-7). Let x = a + 46. What is the highest common divisor of 28 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -5) + -3 - (-4 + 140). Let l be (-7)\/((-70)\/4) - (-99)\/z. What is the nearest to -2 in 0, 5\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 0.5, 0.1, 27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {p: 1, l: 1, s: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 22. Let i(n) = n**2 + 13*n + 2. Let z be i(s). Let u = -10209\/7 - -1458. Which is the fourth biggest value? (a) z (b) 0.4 (c) -2\/7 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times 55\nAnswer: -104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 17305*m**3 + m**2 + 3*m - 3. Let c be s(1). Let v = 2186 - c. Round v to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5407 (base 9) to base 4\nAnswer: -332020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8320c (base 15) in base 9?\nAnswer: -703063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 10*f**2 - 140*f - 2432. Determine v(32).\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 402 + 145 = -3*z, 0 = -2*w - 5*z + 194. Suppose t - w = 2*u, 3*t + 2*t + u = 491. What is the remainder when t is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 1*sqrt(180) - (sqrt(150)\/sqrt(3))\/sqrt(10))**2*-1.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116205, -116162, -116091, -115992, -115865?\nAnswer: -115710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.54 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/(-35))\/((-2)\/15). Let v = 1698 - 1701. Which is the closest to 0.1? (a) -2 (b) v (c) s (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -14, 1, 4, -364.\nAnswer: -364, -14, -9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54984)\/6873 - 174\/((-2)\/(-1)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 4*s. Let g be m(3). Which is greater: -1\/4 or g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygy when three letters picked without replacement from gyygggg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 36 = 0. Let k = 12 - y. Let g(u) = -u**2 + 4*u + 1. Let o be g(k). Let d(r) = -r**3 + 5*r**2 - 6*r + 1. What is d(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -33)*(0 + (-30)\/(-25)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 - -0.869.\nAnswer: -73.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3521 and 17388?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 21*y**2 + 32*y + 72. Let j be k(-22). Is j smaller than -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6, -299, 1005, -4 in ascending order.\nAnswer: -299, -6, -4, 6, 1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n + 2*n - 2*n)*(-4*n + 7*n + n) + 4*n**2 + 5*n - 5*n)*(-4 + 0 + 5)*(-4 + 1 + 1 + (1 + 1 - 4)*(1 + 2 - 5) + 1 - 2 - 1 + 0 - 2 + 6).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let k = -172 + 87. Let q = -347\/4 - k. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5 - 1180*m**4 + 145862*m**3 + 2884716*m**2 + 17831016*m + 36187344 = 0. Calculate m.\nAnswer: -6, 211, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q + q)*(32*q**2 - 61*q**2 + 198*q**2) + (1 - 1 - q**2)*(2*q + 0*q + q).\nAnswer: -172*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 401*i**2 + 384*i**2 + 2*i**3 - 715*i**2 to the form p*i**2 + j*i**3 + x*i + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*g + 4*g**2 + 123*g + 2*g**2 - 3*g**2.\nAnswer: 3*g**2 - 256*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4810332623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/365860 and -65\/109758?\nAnswer: 1097580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -70664*l**3 - 253*l**2 + 253*l - 506. Let b(p) = -3365*p**3 - 12*p**2 + 12*p - 24. What is -253*b(k) + 12*n(k)?\nAnswer: 3377*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**6\/120 - l**4\/12 + 3*l**2\/2 + 3*l. Let t(n) be the first derivative of f(n). Find the second derivative of t(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**2. Let y(v) = 7*v. Let a(f) = 13*f. Let q(d) = -6*a(d) + 11*y(d). Calculate q(r(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 77*c**3 - 72*c**3 - 47*c**3 - 65*c**3 + 211*c**3.\nAnswer: -46*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - d - 2*d - 77 = 0, 0 = -7*p + 445*d - 444*d + 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-3)\/(-432)*-8 + (-1406)\/(-36))\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1451 is divided by 720?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.43 - -28.4297559. What is p rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-1295728)\/(-920) + 2\/15*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*v - 38 - 50, -3*g + 4*v = -86. Sort -4, -13, 3, g.\nAnswer: -13, -4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3\/2 (b) -12\/5 (c) 1\/2 (d) -1 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b = -285 + 565 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237959 by 4.\nAnswer: 237959\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1713 - 5729. Let o be (i\/112)\/(3\/(-21)). What is o rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 1. Let a(f) = 21*f**2 + 15*f - 3. Let n(x) = a(x) - 6*s(x). Let i(l) = -11*l**2 - 5*l - 2. Let g(d) = 5*i(d) + 3*n(d). Is g(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1125, -4420, -9903, -17580, -27457, -39540, -53835?\n\"Answer: -n**3 - 1088*n**2 - 24*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -80*v + 78. What is q(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1053.07485 + 1053. Round s to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 - 93. Suppose -5*z - f - b = 0, -5*f - 9 - 1 = -4*z. Suppose j + 3*j - 20 = z. Solve -4 = -j*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**4 + 1507418*v + 2016245 wrt v.\nAnswer: 4*v**3 + 1507418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 7)*(-1 + l + 1) + (2 - 2 - 2)*(-6*l + 8 - 8) + (-2 + 2 - 1)*(2*l + 0 + 0) - 2*l - 4*l + 5*l + 2 + l - 2.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_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: What is 321405 (base 6) in base 4?\nAnswer: 12122231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -172.\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 1:46 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(684) + -2 - (sqrt(684) + -2 + sqrt(684))*3)**2*-6.\nAnswer: -102750 + 1800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*12)\/(-4)*(-3)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -92742 not equal to -92743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - k + 1. Let t(n) = 5*n - 4. Calculate 2*j(q) + t(q).\nAnswer: -2*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 23*a**3 - 3*a**2 - 3*a - 1. Let d be w(-1). Let b = d - -31. Suppose -2*h - 3*h = -10. Solve 2*q = h*v + 4, -v - 3 = -5*q + b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181771 by -34.\nAnswer: -181771\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 0*o**2 + 6*o - 3 + o**2 - 2*o**2. Let i be p(4). Solve i - 10 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w + 1. What are the prime factors of x(-5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 - 0.34. Let w = 0.14 - 7.14. Let r = w + 5. Which is the closest to 2\/7? (a) 4 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12234.089 and 33.\nAnswer: 12267.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5a38 (base 12) to base 16\nAnswer: -278c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/3 - 7*k**2\/2 - 6*k + 29. Let w be (-2 - -5) + -1 - -6. What are the prime factors of x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5382? (a) 0 (b) 3852 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14748*t**2 - 153*t - 739*t - 188*t - 1936*t**4 - 14753*t**2 wrt t.\nAnswer: -46464*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 2\/9 (b) -0.5 (c) 2\/519 (d) 1\/3 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(6 - 8 + 3)*(-71 + 11*l + 71 + (-1 - 4 + 3)*(-2 + 3*l + 2)) - 1 + 1 + 2*l.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -591 + 599. Let x(m) = 7*m**3 - 15*m**2 - m + 1. Let b(h) = 3*h**3 - 8*h**2. Let q(s) = -5*b(s) + 2*x(s). List the prime factors of q(y).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -1)\/(-15 + 14). Solve 8 = u + u - x, 12 = g*u - x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -22102?\nAnswer: 22121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 400688?\nAnswer: 1\/200344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57005 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80*c + 92*c + 316 - 171*c + (-1 - 2 + 1)*(-c + 0*c - c).\nAnswer: 5*c + 316","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w = -1624 + 1408 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*x - 267*x = -181*x - 2015 + 587 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 19. Suppose -5*b - 24 = -2*o - 2, b = l. Calculate the least common multiple of (-45)\/(-3) - 2\/(-2) and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1008) + 1)**2 - (4*(0 + sqrt(567) - sqrt(567)))**2.\nAnswer: 96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + sqrt(7) + 5 - -6*sqrt(56)\/sqrt(8).\nAnswer: 5 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 j when three letters picked without replacement from {f: 2, c: 2, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1900.036*1.4.\nAnswer: -2660.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58\/41 - 1984\/533. Which is the closest to -1? (a) -3\/8 (b) 4 (c) t (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 886 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: Calculate the highest common factor of 510 and 318597.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1. Let m(j) = -13*j**2 - j + 2. Determine m(z) + 2*w(z).\nAnswer: -13*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -4*u + 32, 12*h + u + 62 = 171 - 51 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 3*c + 9. Let a be l(-4). Suppose -3*m - 20 = -a. Solve 5*t - m*t - 2 = 5*g, 5*t + 5*g + 30 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3768 and 44784.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.02 + 23. What is x rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f = 156. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 - 10*u**4 + 5*u**4 + (u**3 + u**3 - 3*u**3)*(2*u - 4*u + 4*u) - 2*u**4 - 3*u + 3*u + (-3*u**3 + 3*u**3 + u**4)*(-1 - 3 + 2).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, -4, -354, -848, -1486, -2268, -3194?\nAnswer: -4264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1646085442 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 2\/3, -1, 59?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 0 - (-9590 - -58) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 66. Suppose -1 = g - o*x, -2*x - 9 = -2*g - 1. Suppose -10*h = -g*h - 3. Solve -3*z + 4*d + 2 = -z, h*d = -9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 313.7 + -329. Let x = 15.4 + l. Which is the smallest value? (a) -4 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.49 + 2.49. Which is the nearest to 0? (a) 13 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.96, 0.3, -427?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*q + 103*q = -12. Let g(k) = -k**2 + 2. Give g(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13513 and -0.417.\nAnswer: 5634.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Let i be o\/((-24)\/(-69)) + 0. Let v = i - 34\/3. Which is the nearest to 0.1? (a) -0.3 (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5*x + 95, -2*w + 19 = x - 17. Suppose -17*l = -w - 51. Solve 7*h - l*h - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5.4. Let d = -0.2 - l. Let g = 0.6 - d. Which is the third smallest value? (a) 1 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 2. Let k be i(-2). Solve -k*t = -3*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*w + 70 = 0, -4*g + w = -7*g - 1 - 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/13)*l*l**24)\/(l**(-2))**(-1\/20) assuming l is positive.\nAnswer: l**(3207\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 12:31 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15046607 times -0.058?\nAnswer: -872703.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.275. Let a = -0.23 + x. Let n = 0.185 + a. Round n to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6251261, -6251280, -6251299, -6251318, -6251337, -6251356?\nAnswer: -6251375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -23. Let q = g + 68. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 6*s - 7. Let t be w(-6). Let l = t + 9. Which is the nearest to 0? (a) 0.3 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 86.\nAnswer: -85.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-2)\/(6\/9)). What is the units digit of 3\/(-6)*(-4 + n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-2)\/7)\/(1098352\/(-101164))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 divided by 845?\nAnswer: -239\/845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from {c: 6, i: 12}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.95 - -1.3045. Let l = 0.0545 - n. What is the nearest to 5 in l, 0.1, -2, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*a = -30 + 49, 0 = 3*a + 9. Solve 3*c - p - 7 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1932606 and 468?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 28 = -48. Let g be (-1)\/(-1 - 3\/(-2)). Sort m, -5, g in descending order.\nAnswer: m, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6434, 6375, 6276, 6137?\nAnswer: 5958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 45.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 - (-19)\/(-7). Let c(v) = 2*v - 7. Let z be c(3). Let a be z\/(-3) - 2\/o. What is the second biggest value in a, -0.24, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 - 0 - (-16)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8727 minus 123.9451?\nAnswer: 8603.0549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 3. Suppose 16 = -10*r - 4. Which is bigger: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 7*w + 14*w)*(0*w + w**2 + 0*w) + (w**2 + 3*w**2 - 2*w**2)*(-4*w + 5*w + 2*w).\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-12 + 6 + 16)) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -23 - -20 - (-2 - 14\/5). Factor 1\/5 + 33\/5*g**4 + 6*g**2 + 46\/5*g**3 + 9\/5*g**5 + s*g.\nAnswer: (g + 1)**3*(3*g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13472882 and 0.9.\nAnswer: -13472881.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-56763)\/1326 - -43)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3911306 smaller than 3911308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 421 in ascending order.\nAnswer: -3, 2, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/35, 0.5, -5, -13, 0.19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0. Let m = k + 0. Let t = 4.3 + -0.3. What is the second biggest value in -5, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-68)\/((-170)\/(-10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/120 - p**4\/12 - p**3\/3 - p. Let g(k) be the second derivative of y(k). Determine g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(-2*r + 4 - 4)*(51365 + 51302 - 51*r - 102471) - 2*r**2 + 5*r**2 - r**2 to the form z*r**2 + d*r + c and give d.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 24 = 5*s, s + 2 = 5*g - 57. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9812000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:15 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.04754ug in milligrams?\nAnswer: 0.07204754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 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 t = 0.5 - 1. Let f = t - -2.5. Suppose 0*l - 4*y - 25 = 5*l, 5*l + 3*y = -25. Sort l, 0.2, f in increasing order.\nAnswer: l, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11600 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 1365, 3\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 9645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(2\/53)\/t)\/((t\/t**(2\/45))\/t)*((t\/((t*t\/((t**(-1\/6)*t)\/t))\/t)*t)\/t)**48)**(-5\/17) assuming t is positive.\nAnswer: t**(16499\/8109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + 3 + -920 + 881?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 1:31 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.0533, 5, -33, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 127*a + 81. Let x(k) = 65546 - 65546 + k. Let d(l) = -g(l) + 3*x(l). What is the first derivative of d(c) wrt c?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365568762 by 203773.\nAnswer: -1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 27*s**2 + 5*s + 2. Let w(o) = 23*o**2 + 2*o + 1. Give -4*k(v) + 5*w(v).\nAnswer: 7*v**2 - 10*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*z + 4*z + 4*z)*(0 + 6 - 3)*(37*z**2 - 15*z**2 + 27*z**2) to s*z**2 + w*z**3 + t*z + a and give w.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3109, 9518, 15915, 22300?\nAnswer: 28673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 15*c**5 - 125*c**4 - 140*c**3 = 0?\nAnswer: -1, 0, 28\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 15*u**2 + 24*u - 88. Determine b(3).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -165, 0.06, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvbbvbvbbbbvvbbv. What is prob of picking 3 v?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q + 3*t, q + q + t - 4 = 0. Put q, -6, -2 in decreasing order.\nAnswer: q, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o + 2. Let i be p(9). Suppose 0 = 4*v - 3*v + i. Let b = v + 69. List the prime factors of b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2 - 13*c - 2. Let d be v(5). Let z be (d\/(-24))\/(2\/(-30)). Suppose -z*n = -n - 12. Solve -o = -n*x - 8, o + 3*x + 0 + 4 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -79415, -158834, -238253, -317672?\n\"Answer: -79419*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1979 + -3387. Is (1\/2*n)\/(6\/(-30)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -265\/3 - -89. Let r = 0.06 + -4.06. What is the nearest to -2 in m, r, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2.25 (b) 2 (c) 4 (d) -576 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -146\/3. What is the nearest to -0.5 in r, 4, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103 or 98?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*l - 4. Let c(a) = -a**2 - 6*a - 1. Let v be c(l). What is the first derivative of -4*h**4 + 1 + 5*h**v - 3 wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 73*a + 11 + 16.\nAnswer: -73*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 983 - 845?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = -213*a + 531. Solve -a*g + 22 = g + 2*f, -3*f - 18 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 16 = 3*k. Let z be (0 - -3 - 6)\/1. Let v be (1 - 21\/9)*z. Solve 16 = -i - s - k*s, v*i = -4*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/14)\/(-6)*(-2)\/(-1)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/3 - 200*f**4\/3 - 298*f**3 + 5696*f**2\/3 + 36200*f\/3 + 15200 = 0. Calculate f.\nAnswer: -95, -5, -4, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 - 142*i + 69*i - 128 + 73*i to m*i**2 + o*i + n and give n.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2\/7))\/w)**(-49)*w**(-2\/5)*w*(w**5*w)\/w)\/((w**4*w)\/w*w**(2\/13)*(((w*w*w*w*w\/((w\/w**(-2\/5))\/w)*w)\/w)\/w*w)**(-1\/2)) assuming w is positive.\nAnswer: w**(2307\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 5) to base 3.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653280, -1305823, -1958366, -2610909, -3263452, -3915995?\nAnswer: -4568538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -5. Let w be (-2 - (0 - 0))\/(-2). Solve -2*z + 3*g - 9 = 0, 2*z + g - w = -n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719596084.\nAnswer: 2, 41, 197, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -408, -412, -410, -396, -364, -308, -222?\n\"Answer: l**3 - 3*l**2 - 2*l - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, o: 3, e: 1, g: 2, n: 1, k: 2}. What is prob of sequence ngk?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.05, -3, -1\/2, -2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90721 is divided by 1226.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51752*f**3 - 22076*f**2 wrt f.\nAnswer: 310512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c**3 - 3*c**2 + 3*c**2 + 45383 + 45381 - 90764.\nAnswer: 27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/5, 25, -1\/3 in descending order.\nAnswer: 25, 24\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1837 - 1837. Solve -20*i + 23*i + 3 = a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4 + 1179*o - 1187*o - 5.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 105199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.2*0.74.\nAnswer: -3.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 16, 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13780, 27057, 40334, 53611, 66888?\n\"Answer: 13277*f + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w**3 - 24*w**2 + 48*w + 105. Let o(u) = -3*u**3 + 5*u**2 - 10*u - 21. Determine 24*o(d) + 5*p(d).\nAnswer: 3*d**3 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(24*a + 29*a + 8*a + (2*a + a - 2*a)*(-2 - 2 + 2)).\nAnswer: 118*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 963 + 7854 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -495.073?\nAnswer: 2475.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4849, -4789, -4683, -4531, -4333, -4089?\nAnswer: -3799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -161*d**2. Let v(o) = -15*o**2 + 2. Let q(n) = 65*n**2 - 9. Let z(w) = -2*q(w) - 9*v(w). Calculate h(z(p)).\nAnswer: -4025*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -74add2 (base 15) in base 10?\nAnswer: -5554997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) + 176\/6. Let f = 60 - u. Calculate the remainder when f is divided by (6\/(-5))\/(6\/(-80)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 597, 551, 505, 459, 413, 367?\n\"Answer: -46*d + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.72 - 0.28. Let l = 0.00032 - -0.49968. Sort l, 0.3, -4, x in ascending order.\nAnswer: x, -4, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6*i)**(-28)*(i\/(i\/i**(-1\/13))*i)**30)**(-16) assuming i is positive.\nAnswer: i**(35008\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + ((-5 + sqrt(128)*1 + sqrt(128))**2 + 2*(2 + sqrt(18)))*-2).\nAnswer: -2170 + 616*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-6 - 0)) + (51 - (-28 - -102))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 3572.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6970 and 0.\nAnswer: -6970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 122077 divided by 6\nAnswer: 122077\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + v**2 + (-4*v + v + v)*(2*v + 0*v + 0*v) + v**2 + 2*v**2 - 5*v**2)*(4*v**2 - 3*v**2 - 4*v**2).\nAnswer: 15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -64e (base 15) to base 14\nAnswer: -73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27081 is divided by 1739.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 745301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1951.5 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*2*(-1)\/4. Let r be (-2 - -2) + -1 + o. Solve -2 - 2 = r*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -91, -124, -157, -190, -223?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -112a534?\nAnswer: -112a528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6624 divided by 3312\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 896, 3598, 8102, 14414, 22540, 32486?\n\"Answer: y**3 + 895*y**2 + 10*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4807 is divided by 1600.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**17\/f)\/((f**(-1\/4)\/f*f)\/f))\/(f**(-1\/14)\/(f\/((f\/f**(-13))\/f))))**(2\/3) assuming f is positive.\nAnswer: f**(59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**2 + 608*h + 12449. What is l(-33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - n = -27, -14 = -3*n - 5. Let g(t) = t**2 - 3*t + 10. Determine g(z).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16336263 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + p**5 - p**5 - 3*p**5 + 2*p**5 - 4*p**5 - p**5 + 2*p**5 + 2*p**5 - 2*p**5 + (0*p**3 - 2*p**3 + p**3)*(p**2 - 4*p + 4*p).\nAnswer: -5*p**5 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3820584 is divided by 1482?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14367 - -4?\nAnswer: 14372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + -28 - 34) + 18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8254408*a**4 + 6431478*a**2 + 2*a.\nAnswer: 198105792*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - 3*c**2 + 10*c**2 + 5*c - 5*c - 2*c**2 + (2 + c - 2)*(-3*c + 0*c + 4*c) + 0*c + 17*c**2 - 18*c**2 + 6*c.\nAnswer: 9*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) - (2 + sqrt(363) + sqrt(363))) + 4 + (5*sqrt(48) - sqrt(3) - sqrt(6)\/sqrt(2)*6))*4)**2 + -1.\nAnswer: 128*sqrt(3) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 - 5 = 0. Let d be 37\/4 - 1\/4. Suppose s*l - d = -3*p, -4*p - 6*l + 10 = -4*l. Solve -2*y = -y - p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 244 + -239. Solve -j + 14 = -3*a, 5*j + 2*a - 10 = m*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 3, 2862?\nAnswer: 2862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -4)\/(2\/(-36)*-3). Let n = 120 - b. What is the highest common factor of n and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9410 divided by -5?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*r**5 - 1421*r**3*z**2 - 2*r*z**2 - 262*r*z + r - 20*z**2 wrt r.\nAnswer: -440*r**3 - 8526*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 38, 4, -2\/11.\nAnswer: -2\/11, 4, 30, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -44. Let r(h) = -25*h - 17. Let b be r(l). Differentiate -3 - 4 + b*v**4 - 3 - 143*v**4 wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -1 + 6. Let l = 0.9 - 4.56. Let y = 1.66 + l. What is the closest to -1\/3 in 2\/13, g, y?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 3:04 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2257*o - 51649 - 72486 = 0 for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 1. Let y = -1085 + 1086. Let d(m) = 7*m**2 + 2. Let w(v) = -7*v**2 - 2. Let p(k) = -5*d(k) - 6*w(k). Let x = 0 + -2. What is x*o(l) + y*p(l)?\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18116*g**2. Let d(b) = -2787*b**2. Calculate -32*d(t) - 5*q(t).\nAnswer: -1396*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) - (-14)\/8. Let u = 442\/5 - 88. Let q = -126.165 - -146.165. What is the third biggest value in q, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 4*y**2 - 8*y - 13. Let b be c(6). Let f(l) = -9*l + 51 - b*l - 79 - l**2. What is the remainder when 13 is divided by f(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.2 + 15. Let z = -1.3 - c. What is the second smallest value in -1\/5, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 1\/(-1) - 1112\/44*194\/(-388)?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -7 + 58 + (-12 - 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*w - 101*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = g + 6, -6*g - 10 = -8*g + 5*y. Solve b + 5*k - 9 = -0*b, g = 4*b + 3*k - 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 50\/25181?\nAnswer: 50\/25181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**3\/6 + 4*r. Let n(g) = g**3 + 5*g**2 + 2. Let b be n(-5). Let i(j) = b*j**2 + 2*j**2 - 2*j**2. Determine c(i(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4 - (8 + (4 - 10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = -21*m + 48*m + 25. What is the greatest common divisor of m and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 16, 20?\n\"Answer: 4*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, -9\/4, -1\/2?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*x - 2096 - 604 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.7? (a) 0.3 (b) 6 (c) 1\/816 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (11 - (-2415)\/(-135))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 906*u + 7 + 0 - 900*u - 6 + 15. Let i(o) = 4*o + 11. Calculate 5*b(z) - 7*i(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*sqrt(121) - 3*sqrt(121)*3)\/(sqrt(1100)*2 + (sqrt(11) - sqrt(66)\/sqrt(6)*4)).\nAnswer: -sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (5 + -41 + 69)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.93734 nanograms in micrograms?\nAnswer: 0.07493734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 4*k - 138, -2979*k + 62 = -2977*k + j for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15779, 31566, 47363, 63170, 78987, 94814, 110651?\n\"Answer: 5*h**2 + 15772*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177310197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*n = 52*n + 4029. What is the remainder when 206 is divided by n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h - 4. Suppose 13 = -0*x + 2*x - 3*a, 5*a = -h*x - 11. Suppose 210 = x*g + 4*g. What is the highest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -87, -6, -8, 2, 8.\nAnswer: -87, -8, -6, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153778868?\nAnswer: 2, 5471, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 + i**2 + i - 2. Suppose 4*q - 8 = 4*n, 0 = -4*n - q + 3*q - 2. What is the least common multiple of m(n) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -142, -1169, -3966, -9421, -18422?\n\"Answer: -148*b**3 + 3*b**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 7*n**2 - 11*n - 38. Let r be b(-9). Suppose 27*t = 10*t + r. Calculate the highest common factor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.1 + 9. Let f = -839.08 + 824. Let b = 15 + f. Do i and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 36 = 5*n, 5*n + 2 - 38 = -4*b. Suppose 2*w + 3*w + 9 = -3*k, 3*w + 3*k = -b. Solve w = 2*o - 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*p + 1. Suppose 9 = 2*f - m - 11, -p*f + 4*m = -40. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8bbcb (base 13) to base 12\nAnswer: -103475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 121122012012101 (base 3) to base 11\nAnswer: 4a99799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6*27*1. Let y = 19 - s. Suppose -3*h - 5 - y = 0. Let n(l) = -l**2 - 2*l + 3. Determine n(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5572917 or 72447907\/13?\nAnswer: 72447907\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233860880 rounded to the nearest 100000?\nAnswer: 2233900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 3c48?\nAnswer: -3c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 60*n - 258. Is 9 a factor of o(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/416)\/((-31536)\/14016)*84?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 15*r + 5*l + 299 = 0, -3*r - 2*l = -931. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**2\/3 + 31835930*g - 152028965844735 = 0.\nAnswer: 9550779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (18 - 34) + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:13 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5718.765997 to 1 dp.\nAnswer: -5718.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94580*(-4 + (-210)\/(-50))?\nAnswer: 2, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 242?\nAnswer: 23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*c + 25*c - 80 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4028940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50900223427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618322 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835010.262 rounded to the nearest ten thousand?\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10\/3*(-4536)\/(-3360)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 220031000232 (base 4) to base 13\nAnswer: 2250036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267039501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**6 - 3*g + 1\/3*g**4 + 5\/42*g**7 + 0*g**2 + 0 + 0*g**3 + 0*g**5. What is the third derivative of s(h) wrt h?\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*w - 205*w + 9840 = 0. Let h = -917 + w. List the prime factors of h.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**2 - 9*d + 30. Let a be g(-4). Let c be (-7 - -6)*0\/a. Solve x + q - 9 = c, -x + 2*q - 7 = -1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/15 + 0)*-15. Let x be (-20)\/u*(-36)\/(-20). Does 13 divide 51\/2 + 3\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*l + 59, 3*h = -h + 2*l - 286. Let a = h + 27. Round a to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734826368 a multiple of 1754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y + 511. Let g(t) = -2*t + 80. Let w(a) = 6*g(a) - j(a). Let h(z) = 23*z + 92. Give 6*h(f) + 17*w(f).\nAnswer: 2*f + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -171, -227, -273, -309, -335, -351?\n\"Answer: 5*l**2 - 71*l - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d - 1)*((0*d + 2*d + d)*(d + 13*d - 4*d) - 24 - 119*d**2 - 37 + 118*d**2).\nAnswer: 29*d**3 - 61*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 4*s + 4*s + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 16\/80*15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -318 - -466. Let u(j) = -w + j - 148 + 314. Determine u(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.0886 and 0.13?\nAnswer: 1.2186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - s**2 + s - 4. What is the tens digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9 = 4*t + 12, -2*w + 46 = 2*t. What is the greatest common factor of 61 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from gglgbjgbjlj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26742?\nAnswer: 2, 3, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -3\/2 (c) -2 (d) -2\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 10 (c) -2\/9 (d) -10.4 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (15400\/(-25025))\/(7\/(-1092))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/32, -28, 1\/3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6406 + 6412. Suppose -3*r - 3*i = -0*r + 81, -5*r + 2*i = 149. Let a = f - r. Calculate the highest common divisor of 14 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o**(-4)*o)\/o)*o)\/o*o\/o**(-1\/9)*((o*o*o*(o*o*o\/o**0*o)\/o)\/o)\/(o\/o**(-2)) assuming o is positive.\nAnswer: o**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2966 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 186, 608, 1434, 2796, 4826, 7656, 11418?\nAnswer: 16244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t + 5*t**2 - 12*t)*(4*t**2 - 1 + 2*t**2 - 3*t**2).\nAnswer: 15*t**4 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 569292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 94716035.31.\nAnswer: -94716035.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 312\/(-234) + 25\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 1, f: 2}. What is prob of sequence fsf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*c + 21 = -p, -4*c + 8 = 0. Suppose -g + p = -y + 6*y, -3*y = 5*g + 19. Let u = 1 - g. Solve 2*z + z + u = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34451 + -25524. What are the prime factors of y?\nAnswer: 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1157*f + 1179*f = 419320000. What is f rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let h(z) = -2*z**2 + 7*z. Let w(v) = v**2 - 4*v. Let d be (-14)\/49 + 51\/7. Let a(t) = d*w(t) + 4*h(t). Give i(a(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 880 - 693. Suppose 0*d + 4*d = 20. Suppose 129 = 2*z + 3*p, 2*z + 2*p = d*z - k. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.7 - -35. Let j = 0.3 - h. Let y = -3\/17 - -35\/102. Sort 5, y, j in increasing order.\nAnswer: y, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n + 77. Let u(s) = -5*s + 33. Let k(b) = 6*i(b) - 14*u(b). Let g(f) = f + 5. What is k(g(a))?\nAnswer: 16*a + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1083034240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 1, -5525 in decreasing order.\nAnswer: 8, 2, 1, -5525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3228 - 3234 - r + 9690 - 3228. Let k(i) = 7*i + 5. What is 6*j(q) + k(q)?\nAnswer: q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(3\/9). Let l(c) be the third derivative of -c**5\/60 - c**4\/24 + c**3\/6 - 2*c**2. Determine l(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 + 0*h + 0*h + (-h - h + h)*(-2*h + 2*h + 18*h**2) + h**3 - 291 + 79 - 50.\nAnswer: -15*h**3 - 262","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**1)\/q)\/q)**(-2\/55)*q**6*q**0*q assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 1454540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 divided by -2?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/2 + 716054*h - 1432106 = 0. Calculate h.\nAnswer: 2, 1432106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 601 and -4.\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 90.8 times 657\nAnswer: 59655.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.212 + 6.1. Let r = -0.254 - v. Let o = -0.014 - r. What is o rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 18225 = 105087 - 6564. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 2*b**2 + 1\/12*b**4 - 5\/3*b**3 + 0 - 1\/135*b**6 + 0*b + 1\/180*b**5. Let a(j) be the first derivative of f(j). Factor a(k).\nAnswer: -2*(k - 1)*(4*k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 - 4*u**2. Let c be (3 - 0) + 0 + 6. Let m(y) = -13*y**3 - 17*y**2. What is c*z(l) - 2*m(l)?\nAnswer: -l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-21 - -39) + -3 + -30.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 13*s**3 - 2*s - 1. Let j be d(-1). Let g = j - -17. Solve -3*v + 17 - g = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 2 j when four letters picked without replacement from {j: 3, q: 8, x: 3, v: 1, g: 3}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115263*b**4*m + 265*b*m - 56*b - 1 wrt b.\nAnswer: -1383156*b**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5196\/89 - 8\/445. Let f = l + 59. Let j be (-3)\/(-12) + 1\/(-12). Sort 0, j, f in decreasing order.\nAnswer: f, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1452*q - 742*q = 734*q - 72 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.74328 - -2?\nAnswer: 16.74328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.684435g?\nAnswer: 8684435000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19881 is divided by 2833.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1154428 + 1?\nAnswer: -1154427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -16. Solve 4*u + 0*l + l = -a, 5*u + 10 = -3*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 417, 405, 389, 369, 345?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + 6 + (-4 - -7) + 6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122872*d**2 - 996*d + 996*d - 122899*d**2.\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 2:43 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1160448 and 768?\nAnswer: 1160448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6658, -6604, -6552, -6502?\nAnswer: -6454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 521.47 - 522. Which is greater: 1\/6 or d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -102, -164, -242, -342?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.895 + 0.105. Which is the nearest to g? (a) -3 (b) -2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in -0.46, 4, -0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-209780)\/2468*-4*(-5)\/25?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(44 - 13 + 19 + (-1 - 6 - 3)*(3 + 0 - 2))*(-2 + 2*g + 2) to y*g + m and give y.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pli when three letters picked without replacement from {i: 8, j: 4, e: 1, l: 2, p: 1}?\nAnswer: 1\/210","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, c: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 + -180. Suppose -2*n - h*n = -45. Calculate the highest common factor of 4 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 10*a**2 + 14*a - 11. Give d(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**4 - 5*c**4 - 11*c**4 + (-c**4 + c**4 - 2*c**4)*(3 + 8 - 2) to o*c**3 + q*c + d*c**4 + j + h*c**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 274032.8 from -221.3.\nAnswer: -274254.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**38*h**7*(h*h**(3\/7)\/h)\/h assuming h is positive.\nAnswer: h**(-221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + r**2 + r. Let j(v) = 9*v**3 - 4*v**2 - 7*v + 1162. What is j(w) + 7*o(w)?\nAnswer: 2*w**3 + 3*w**2 + 1162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304, -472, -630, -772, -892?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -150 and 4.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 131391295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 11, e: 6, g: 1}. Give prob of sequence zzze.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -34*t + 0 + 1\/6*t**3 + 0*t**5 + 19\/14*t**7 + 0*t**4 + 0*t**6 + 65\/2*t**2. Find the second derivative of r(b) wrt b.\nAnswer: 1140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = v + 108, 4*s - 2*v - 72 = 70. Solve -40*o + 3 = -s*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3987727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-12) + (-1)\/(-2). Let u = 284 + -282.41. Let p = u - -1.41. What is the closest to p in -0.4, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58599 + 29296 - m**3 + 29303.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-66 - -66)*(0 - -1). Let k(c) be the second derivative of -7\/3*c**3 - 10*c + q*c**2 + 0. Let t(s) = 2*s**2. Calculate k(t(d)).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4531 - 81679\/18. What is the common denominator of -59\/14 and k?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 21, 24, 27, 30, 33?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388569142 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065 + 533 + k + 532.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 5*g + 13. Let x be n(6). Suppose 3*j = x*j - 1316. Let z = j + -180. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 5:24 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3\/13))**47*(l**(-10))**(30\/11) assuming l is positive.\nAnswer: l**(4372\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142886 + 142885.884077. Let g = -50.116 + 50. Let y = g - b. What is y rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/3)\/(-2)*27. Let w = -15 - q. What is the derivative of -8*u**3 - 19 + 6 - w*u**3 wrt u?\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12))\/(-8 - 80\/(-15)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -6 + (-66 + 76 - (11 + 0))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -396*d + 401*d - 3 + 3. Let z(u) = 13 + 2*u - 13. Give m(z(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 30900?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 2556*h**2 + 103440*h + 1038400.\nAnswer: -(h - 2596)*(h + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31\/(2418\/52) - 50\/(-6). Solve 371*u - a = 370*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 + -125. Is 56 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = y - 4*a, -8*a + 3*a - 12 = -y. Solve 4*i - 8 = -y*h, 20 = -5*h + 3*h + 3*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -925.69 + 918. Round z to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyhyhhy. What is prob of picking 4 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 307*x - 137*x + 2*x**2 + 45*x + 806*x in the form l*x**2 + v*x + i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 10 = 36*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/120 - v**5\/30 - v**4\/8 - v**3\/3 - v**2. Let p(c) = 2*c**2 - 18*c - 2. Let r be p(9). Give m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -39*z**3 - 21*z**2 + 21*z + 21. Let s(l) = -10*l**3 - 5*l**2 + 5*l + 5. Let c be (19 - (-10 - -8))*-1. What is c*s(i) + 5*t(i)?\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-6) + (3 - 1225\/84) and -89\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - 0.08. Let o = g - -0.04. Let f = o - 0.2. Sort f, -0.5, 0.4.\nAnswer: -0.5, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455793208 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -17*t. Let v(u) = -4*u. Let i(d) = 6*p(d) - 26*v(d). Let z(m) be the second derivative of -3*m + 0*m**2 + 1\/2*m**3 + 0. What is i(z(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 4. Let b be t(-6). Suppose -r - 19 = -5*x - 3*r, b*r + 21 = 3*x. Suppose -4*p - 15 - x = 0, -3*k = -p - 110. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145713 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 6*t + 1. Suppose 7*s + 8*s - 75 = 0. What is u(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 19*o + 1. Let s(k) = k. Let t be s(1). Let f be u(t). Suppose -3*y = i + 12, 2*i - y + 2*y = 1. Solve 8*c - i*c + f = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 579 and 25283?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300112 (base 5) in base 14?\nAnswer: 10b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/3 + 37*b**4\/3 - 156*b**3 + 720*b**2 - 576*b.\nAnswer: -b*(b - 12)**3*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 27. Suppose -2*w - 4*l + 2 = -10, -w - j = -2*l. Solve 3*q + 3 + 3 = w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 108*x - 1. Let j(v) = 109*v - 1. Calculate -3*j(p) + 2*y(p).\nAnswer: -111*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*(80\/(-25) + 5). Suppose 22*j + 2075 = x*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-26)*12\/(-9) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -40. Let c = -0.41 + 0.01. What is the closest to h in 0.2, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)*t)**(-13\/3)*t**17*t*t**(-1\/17)*t*t assuming t is positive.\nAnswer: t**(1474\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1491 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -735, -1171, -1595, -2007, -2407?\nAnswer: -2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.127 times 0.093337?\nAnswer: 0.105190799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 6*l**2 - 4*l - 2. Let a be s(-4). Let y be (-1)\/(-2) - a\/(-20). Calculate the common denominator of y\/25 + 388\/(-105) and -11\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -2\/9*z**2 + 1\/9*z**4 + 2\/45*z**5 + 45 - 2\/27*z**3 + 0*z. Let w(f) = 0. What is f?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1836943918721 - -4\nAnswer: -1836943918717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -21 - (-40)\/(-10). Suppose -111 + o = -3*r. What is the remainder when r is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 4*o + 8. Suppose 3*z + 34 = 5*q, q - 2*z - z = 2. Let l be r(q). What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-45))\/((1\/10)\/((-20)\/160))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 57?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + 2)*(-1 + 1 - 1) - 3 - 3 + 5 - 3 + 3 - 1)*(1216*i + 2447*i + 1383*i + 891*i + 1950*i) as d + z*i and give z.\nAnswer: -31548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -26. Let i(n) = 18*n + 1539. Let t be i(-86). Is 14 a factor of 25\/15 + (-3)\/t + u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(70)\/sqrt(7))*1 + 4)**2.\nAnswer: 8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*d + d + 4*d)*(2 - 6 + 2) + 0*d - d - d + (-4 + 3 + 3)*(-5*d + 2*d + 2*d))*(0 + 5 + 6) to the form b*d + o and give b.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*s + 3 - 28*s - 129*s**5 - 99*s**5 + 0 + 28*s**2 wrt s.\nAnswer: -13680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 192 + 486*l**2 + 150*l**2 - 32*l - 635*l**2 = 0. Calculate l.\nAnswer: 8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/4 - (-78)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/269 in -1, -3\/5, 8, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/3)\/((1\/(-1))\/(-3)). Solve -3*o + w*k + 18 = 3*k, -1 = -4*o - k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21752 divided by 8.\nAnswer: -2719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 4*i - 27. Let j be l(-8). What is the closest to -2 in -6, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yist when four letters picked without replacement from {c: 1, t: 7, p: 2, s: 1, y: 2, i: 2}?\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1358, 5, -1 in increasing order.\nAnswer: -1, 5, 1358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a + a)*(-3*a**2 + 0*a**2 + 5*a**2) + (0 + 0 + a)*(0*a**2 - a**2 - a**2 + 2*a**2 - 5*a**2 + 4*a**2 + (-2 - 1 + 1)*(0*a**2 + 0*a**2 - 2*a**2)).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 161*p = 5625, 0 = 3*r - 5*p + 137 + 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19230 - 19229.7. Put 3, 2\/9, 0, c, 4.09 in decreasing order.\nAnswer: 4.09, 3, c, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2915250 and 2375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - ((sqrt(42)\/sqrt(6))**2 + -2) - (5 + sqrt(7)*2).\nAnswer: -10 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*-1 + 5 + sqrt(192) + -4 + -1.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60\/9*(-2)\/5*-489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 46. Let u(b) = 2*b**3 - b**2 + 13*b + 14. Let q be u(m). Is (q\/3)\/(14\/21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 158*o**2 + 1625*o - 18595. Determine n(-146).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2 + 0*o**2 - 2*o**2. Let z(q) = 5*q**2. Determine z(k(m)).\nAnswer: 45*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x - 241 - 179 = 14*x - 72 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**7\/21 - 15*o**5\/4 + 493*o**3\/6 - o**2 + 80*o. What is the second derivative of k(q) wrt q?\nAnswer: -40*q**3 - 450*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -56*q**2 - q - 1. Let u be y(2). Let z = -131 - u. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*k + 220 = -137*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + g)*(-4 + 4 + g**2) - 5 + 1 + 4*g**3 - 3*g**3.\nAnswer: 2*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3 + 3*m**2 + 130*m + 2625 wrt m.\nAnswer: 3*m**2 + 6*m + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 4*t**2 - 2*t - 1. Give x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 7579196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4*r + 2. Let d(s) = s**2 - 4*s + 2. Determine -6*b(y) + 7*d(y).\nAnswer: y**2 - 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 24*t**3 + t**2 + 64*t - 382. What are the prime factors of u(5)?\nAnswer: 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20280902 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: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from {o: 2, j: 1, m: 4, h: 6, n: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-14) - (-4)\/(-14). Let p(w) = 3*w**2 - 1. Calculate the remainder when 20 is divided by p(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8717 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 78.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4052)\/440 + (-56 - -64) and 61\/660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1. Let n(z) = -z**3 + 2*z + 1. Let i(c) be the third derivative of c**4\/24 + 2*c**3\/3 + c**2. Let x be i(-3). Determine x*n(r) - 2*t(r).\nAnswer: -r**3 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0*g. Suppose -5*a = z + 544, 5*z - 53 = 2*a + 143. Let l be 2 + (-40)\/18 + (-564)\/a. Solve -5*w = o - l, g = o - 4*o - w - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - (-13 + 7 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ootot. What is prob of sequence tt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(38)\/sqrt(2))**2 + -1 - (-4 + sqrt(19) + (sqrt(19) - (-2 + sqrt(304))))**2.\nAnswer: -67 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*b - 2*v - 45, 4*b - 56 = 4*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8091\/11 - 735. Let z = -2 - 1. Let f = -2.5 - z. Sort y, -4, f in decreasing order.\nAnswer: y, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 160*p**2 + 0*p + 0 + 1\/8*p**4 + 0*p**3. Let i(r) = -13*r. Give b(i(q)).\nAnswer: -39*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 (base 7) in base 16?\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7667391, -1\/2 in decreasing order.\nAnswer: 7667391, 3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/150*3\/(-48)*10\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/3*(9 - -11) and 35\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 22. Let x = 967 + -880. What is the remainder when x is divided by c(11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -5 + 2 - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1011?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 124 = -4*g, 2*t = -4*g - t + 116. Let m = 17 + g. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(0 - (-2)\/4)\/(-3). Is s less than or equal to 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 2*r + 32. Let i be h(6). Let w = i + -96. Let y be (w\/6)\/(25\/1200). Calculate the greatest common factor of y and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146000 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1260 and 48195.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 807.8418 millennia?\nAnswer: 8078.418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*2*(-9)\/(-30). Suppose -12 = -3*f, 2*k + 0 = 2*f - 2. Find the third derivative of b**2 - k*b**5 - v + 3 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-4)\/(4\/(-3)). Let f be (-170)\/(-20) + s\/(-4). Let z be 2 + -3 - f\/(-15). Is z < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvfoffa. Give prob of picking 1 v, 1 f, and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 219785852 divided by 6292\nAnswer: 34931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rccrrmcrr. Give prob of picking 1 c and 3 r.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80354 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20394 - 3665. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109346*d**4*s - 2581*d**2*s + s wrt d?\nAnswer: 2624304*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 545 + -322. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1284 and 53\/40.\nAnswer: 12840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 10868 + 10883 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**4 - 8*q*r**2 + 1261*q*r - q + r**2 + 22617*r wrt q?\nAnswer: 4*q**3 - 8*r**2 + 1261*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91853 is divided by 57.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4262970 rounded to the nearest ten thousand?\nAnswer: -4260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1076, -1074, -1072, -1070?\n\"Answer: 2*i - 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1879214, -6, 2 in decreasing order.\nAnswer: 4, 2, -6, -1879214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-50)\/3*(-15)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5278 + -5251.724. Round n to 1 decimal place.\nAnswer: 26.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Let u = -18 - -20. Solve -h*l + l = u*c - 2, -3*c = -4*l - 31 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087582022 less than -1629.142?\nAnswer: -1629.229582022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*r - 348, -7*r + 5*r = -4. Let s = 254 + c. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675655 is divided by 242?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 461277 and 33?\nAnswer: 5074047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*l**2*q - 3355*c*l**2 - 9071421*c*l*q - 266*c*l with respect to q.\nAnswer: c*l**2 - 9071421*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025755894 to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -259*d. Is j(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0347 + 0.0653. Which is smaller: -18 or n?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-6)*(-3)\/27. Let f = -0.8 - -2.8. Which is the third smallest value? (a) f (b) z (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w - 1014*w**3 - 1\/60*w**5 + 0 - 134*w**2 + 13\/2*w**4. Factor h(u).\nAnswer: -(u - 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + w + 4*w = 25, 38 = 4*k + 2*w. What is the second derivative of -41*x**2 - 47*x**2 - k*x**2 + 0*x**2 + 104*x wrt x?\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464 a factor of 553002953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8*f\/(f\/f**(-1\/2))*f*f**(1\/4)*(f**(6\/5)*f*f)\/f)**(-33) assuming f is positive.\nAnswer: f**(-7227\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541 smaller than 2533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(3\/((-15)\/(-10)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**(-4\/33)*(s\/(s*s**(-3\/7)\/s))\/(s\/s**10) assuming s is positive.\nAnswer: s**(2423\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16871*12519.\nAnswer: -211208049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*5 - -6*(sqrt(144) - sqrt(4)))\/((6*(sqrt(6)*2 - sqrt(6)))\/(sqrt(3) + (sqrt(3) - sqrt(27)*4) - sqrt(3))).\nAnswer: -715*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352556, -705145, -1057734, -1410323, -1762912, -2115501?\nAnswer: -2468090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -1, 0.01, -2, 5, -0.3, -102?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15340, -15339, -15340, -15343, -15348?\nAnswer: -15355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*q + 2 - 3 + 1 to the form f*q + d and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*r + 360 = -129*r. Calculate the greatest common divisor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 38966070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((1 - 0 - 4) + 81 + -74).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 9 = 3*y. Let b be (-1)\/3 - (-3)\/(-72). Do y and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-4) - -8) + (-4)\/3. Which is the fourth biggest value? (a) 7 (b) 1\/12 (c) o (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 11*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*b - 158, 3*i + 2*b = 159 + 294. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760559 rounded to the nearest 10000?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8)*17\/(816\/(-64)))\/62\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 5:46 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 0*l**2 + 13\/6*l**6 + 5*l**3 + 0*l**5 + 0*l + 42 + 0*l**4. What is the third derivative of q(t) wrt t?\nAnswer: 780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u - 97. Suppose -74*s - 1943 = -907. Determine t(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*a**2 - 6*a + 4*a + 49*a**2 to b*a**2 + j*a + s and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-11)\/22*-10)\/((-2)\/4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 240372.5 weeks?\nAnswer: 145377288000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 45*i - 19. Let w be u(-45). What is the third biggest value in -0.01, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 7*v**2 - 9*v**2 - 3*v**3 - 1 + 35*v**4 + 0*v**2 to the form j*v**2 + i + a*v**3 + d*v + m*v**4 and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -242, -2, 5, -3 in ascending order.\nAnswer: -242, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16806 and 142860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 12*g - 2. Let q(r) = 4*r**2 - 12*r - 2. Let d(j) = 4*q(j) - 5*w(j). Let n be d(-12). Let v be -3 - 10\/(-8)*n. Is v >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 5) in base 9?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 18*y + 40. Let b be g(-20). Solve b = -j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 3*c**2 + 0*c**2)*(c**3 - 3*c**2 + 3*c**2) + (-4*c**3 + 2*c - 2*c)*(-2*c**2 + 0 + 0).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = -0, -j - 37 = -4*l. Suppose -t + l = -6*t. Let b be (-12)\/42 - t\/7. Solve -5*x + 3*d + 8 = -d, 2*x - d - 5 = b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z + 21. Suppose -5 = 4*d + 5*q, d + 2 = -2*q - 3. Suppose 10 = -d*p, -5*f + p + 110 = -4*p. Solve z*w - f = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59673.162076 - -226497.533534. Let d = 286293.69561053 - a. Let p = 123 - d. Round p to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -111\/22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 436206307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 170 + 2?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 2 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + r)*(-4 + 3 + 3) + 1019 - 1019 - 297*r.\nAnswer: -295*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - ((-137)\/(-2))\/(2162\/(-188))) + 16.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81358.34932 rounded to the nearest ten?\nAnswer: -81360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -3\/5*v**5 + 0*v**4 + 0*v + 0*v**2 - 32\/3*v**3 - 44. What is the third derivative of j(w) wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*x - 46, -2*c - 3*x - 96 = -7*c. Let k(l) = 28*l - 3. What is the remainder when k(2) is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -38690695.\nAnswer: -657741815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n - 6*n**2 + 2*n + 2 - n**2 - 2 + (0 + 2*n + 0)*(-2*n + 4*n - 3*n) + 2 + n**2 - 2 - 3*n**2 + 2*n**2 + 0*n**2 - 465 + 38*n**2 + 465.\nAnswer: 29*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)*-1*4)\/(sqrt(1100) - (sqrt(1100) - -4*(2*sqrt(1100) - sqrt(1100)))).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 5*n**2 + 6*n + 3. Let w be a(-6). Let c = w - 1. Let j(m) = 2*m**2 - 2*m. Let y(k) = -k**3 + 2*k**2 - 3*k. What is c*y(z) - 3*j(z)?\nAnswer: -2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-2) - -4) + -10. Let r = -2 - o. What is the third derivative of -3*x**6 + 7*x**r + 4*x**6 + 6*x**2 wrt x?\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/4 + 24\/4. Suppose 69 = p*a - 51. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120256 and 30064.\nAnswer: 120256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 - 2.45. Which is greater: n or -11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102\/7*j**3 + 2700\/7 + 3060\/7*j + 1047\/7*j**2 + 3\/7*j**4.\nAnswer: 3*(j + 2)**2*(j + 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80611854 to the nearest one million.\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -16*r - 4. Let j(t) = -31*t - 8. What is -7*h(f) + 4*j(f)?\nAnswer: -12*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9500, 76632, 259022, 614300, 1200096?\n\"Answer: 9605*k**3 - k**2 - 100*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = -253 + 227 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -222011010020 (base 3) in base 8?\nAnswer: -1755311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1166 + 10507\/9. Let f = -109\/63 + s. What is the nearest to 1 in f, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5999406 + 13229406. Round b to the nearest one hundred thousand.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -28*p**2 + p. Let l(r) = -5866*r. Give v(l(x)).\nAnswer: -963478768*x**2 - 5866*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 112828?\nAnswer: 14216328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4.9. Let m = -0.033 + 4.033. Which is the closest to w? (a) -4 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*r\/(r\/r**(-10\/11))*r))\/r))**16*r**(-5)\/(r**(-11\/4)*r) assuming r is positive.\nAnswer: r**(1329\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 90. What is the least common multiple of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 3:02 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 524069 and 77.\nAnswer: 5764759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(99) + 2) + -3.\nAnswer: 3 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o - 6*o**3 + 9*o + (o - 4*o - o)*(-1 + o**2 + 1) + 17*o**3 + 0*o**3 + 5*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 12*g + 9946 = 3*m, -m + 2*g + 3310 = 0. List the prime factors of m.\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*t = 5*z - 4934, 2*z - 4938 = 4*t. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (5 - (6 - 4)). Let z(d) = -7*d - 1. Let x be z(-1). Let a = c + x. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -111326472?\nAnswer: -111326471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 14, 5, 0, 42 in descending order.\nAnswer: 42, 14, 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 259793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - ((4 - -3) + -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 233*f**2 + 457*f - 5. Let t be h(-2). Sort -61, t, -3 in ascending order.\nAnswer: -61, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*r = -22, 3*q = 7*q - 5*r - 28. Let d be q\/5 + (-259)\/35. Let v be (-16)\/d + 2\/(-7). Solve v*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*k + 8, 2*k - 4 = -0*k - 4*q. Calculate the smallest common multiple of 16 and 19\/2 + (-9)\/k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 2\/9, 23.4, -0.3, 4\/123?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**3 - 15*a**2 + 7*a - 7. Let u(w) = -9*w**3 - 29*w**2 + 13*w - 14. Let d(m) = -11*o(m) + 6*u(m). Let z be d(9). Solve -2*g = z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/5 - 12*2. Let y = -107\/4 - g. What is the nearest to y in -2, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(67 - -5) - (-4)\/(-24). Is j < -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*w + 39*w - 27. Suppose 4*a - 29 = 19. What is the smallest common multiple of a and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:34 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 928 (base 13) in base 14?\nAnswer: 7d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t + 2*t**2 + 3*t**2 - 4*t**2 - t**2 + (0 + 0 + 2*t)*(-t + 2*t - 2*t) + 7014*t**2 - 15 + 6*t - 5*t - 7013*t**2.\nAnswer: -t**2 + t - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000296505655 rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8568 and 93772?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 2. Suppose m + 8 = -4*k, -3*m - m - 3*k + n = 0. Suppose 6*j = 64 - 70. Which is the closest to -1? (a) 5 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6027.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619001?\nAnswer: 19, 32579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Suppose 120 = 5*m + 5*w, 4*m - 74*w + 70*w - 72 = 0. Let t(n) = n**3 - n**2 - n. Let a be t(0). Solve 4*q + 5*s + y - m = 0, 2*s - 6 = a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z. Suppose -463 = -5*i + 2*y, -344 = -0*i - 4*i - 5*y. Suppose i + z = 7*g. Solve -2*o + 5*j - g = -6*o, 25 = -5*o + 2*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/20)\/(45\/(-75)))\/((-4)\/(-14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/1035 and -47\/2032.\nAnswer: 2103120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.5 + 1.5. What is the nearest to -0.2 in p, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (0 + 5)) + 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*d - 1. Let m(z) = -z**2 - 3*z - 3. What is m(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = -2*n - 7, t + 2*n + 697 - 700 = n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 - 3*s + 8. Let j(f) = f**2 + f - 1. Let h(t) = -c(t) - 2*j(t). Let p be h(0). Is p at most -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1056.974nm to micrometers.\nAnswer: 1.056974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 23*u**2\/4 + 30*u + 36.\nAnswer: (u - 12)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 557, 503, 449?\n\"Answer: -54*q + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10259889*q + 284101399.\nAnswer: 10259889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1010010101110101100110?\nAnswer: -1010010101110101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -10. Let v = o + 7. What is the biggest value in -1, v, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 839*s - 349*s + 763*s - 85*s to the form t + a*s and give a.\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -37*p - 1. Let q(c) = 38*c + 2. Let f(j) = 6*b(j) + 5*q(j). Let h be f(-13). Let z = 599 - h. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**3 + 10666 - 12*m**2 - 10661 + 33*m**2 - 19*m**2. Let k(y) = -6*y**3 + 2*y**2 + 4. Calculate -5*k(q) + 4*n(q).\nAnswer: 6*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -231 divided by -229\nAnswer: 231\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 28\/6*9*12\/126\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/7)\/(2\/14). Find the third derivative of 17*s**3 - 4*s**z - 2799 - 42*s**2 + 2799 wrt s.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2387.56731975 and -3?\nAnswer: 2390.56731975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7.26 times -299083\nAnswer: -2171342.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - -106. Let p be (18\/(-8))\/((-2)\/32). What are the prime factors of (-50)\/5*p\/y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x - j - 21 = 0, 3*j + 3 = 0. Let h(s) = 4*s**2 - 22*s - 1. Let f be h(6). Suppose -16 = 3*r - f*r. Put -5, x, r in decreasing order.\nAnswer: x, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2769459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 7*h - 68. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(160\/(-12)) - (-9 - 176\/(-128)))\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0 - (48 - 48)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -0.32741?\nAnswer: 0.07259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6458016.746 less than 4?\nAnswer: -6458012.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + sqrt(216)*2)\/((sqrt(72) + (sqrt(72) - sqrt(72)*1))\/sqrt(9)) + (-1 + sqrt(36)\/sqrt(3))*5.\nAnswer: -5 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658954796 to the nearest integer?\nAnswer: 25670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*z + 736596 = -175*z. Calculate the remainder when z is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 351, 404, 457, 510, 563?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.092192.\nAnswer: -0.46096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.292 and -0.790316.\nAnswer: 1.501684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**7\/840 - 59*n**6\/240 - 1199*n**5\/80 - 1711*n**4\/24 - 841*n**3\/6 - 299*n**2. Factor z(l).\nAnswer: -(l + 1)**2*(l + 58)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + sqrt(1100) + -1 + 3) + -3*(sqrt(1100)*-1*6 - (-1 + sqrt(1100) + sqrt(1100) + 1)))**2.\nAnswer: 3780*sqrt(11) + 485181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23819827?\nAnswer: 73, 283, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.12 - -0.38. Which is the nearest to r? (a) 3 (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 + -0.36\nAnswer: 98.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -10 + -12 + 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 113? (a) 9 (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g**3 - 5 + 10 + 11*g**3 - 5*g - 7 to h*g**2 + l + k*g**3 + t*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + b**2 + b + 28. Let k be c(0). Suppose -3 + k = 5*x. Suppose 0 = -d + 3, 4*q - 13 = d - 0*d. Calculate the lowest common multiple of q and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Suppose -6*c - 102 = -2*c - 5*n, 88 = -r*c - 2*n. What is the units digit of (c\/(-6))\/((-6)\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -2. Let n = 1 + 0.1. Let g = n + -1. What is the nearest to -2\/9 in 4\/3, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -5*b**4\/6 - 3*b**2\/2 - 254*b. Let l(a) = 19*a**2 + 5. Determine 5*h(d) + 3*l(d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 7*m + 1. Let c be q(5). Suppose -6*x = -c*x + 60. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103171 divided by -1.\nAnswer: 103171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13001753 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 23*u**2 + 25*u + 18. Let g be o(-24). Let f(a) = -5*a - 9 + a + 4 + a. Calculate f(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -4*f, -161*f - 137 - 23 = 2*z - 213*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 4. Let u = 4 - -1. Let g be h(u). Are g and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*o - 8*o + 77267, -2*o = 5*p - 386281. Suppose p = -16*c - 152985. Round c to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5412233*u**5 - 38880062*u**2 wrt u.\nAnswer: -324733980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/111, -0.4, 7299 in ascending order.\nAnswer: -0.4, -16\/111, 7299","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -134, -385, -802, -1385, -2134, -3049?\n\"Answer: -83*c**2 - 2*c - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**6\/720 + t**5\/6 - t**4\/24 + t**2. Let p(z) be the second derivative of k(z). Is p(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10408178 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 75478 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 1 - 3)*(n - 4*n + 2*n)*(-1 + 1 - 1) as t + y*n and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*u + 398*u + 415*u + 395*u - 1601*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -70, -106, -142, -178, -214?\n\"Answer: -36*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11217, -2, -8, -17 in decreasing order.\nAnswer: -2, -8, -17, -11217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9321?\nAnswer: 3, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**2 + 4*k + 15. Let n(b) = -b**2 + b + 2. Let v(d) = -m(d) + 6*n(d). Let y(p) = -2*p**2 - 6*p + 10. What is 10*v(g) + 3*y(g)?\nAnswer: 4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 2:59 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*s + 0)*((6 - 3 - 1)*(0*s**3 - 3*s**3 + 0*s**3) + (s**3 + 0*s**3 + 0*s**3)*(0 - 2 + 3) - 2*s**2 + 2*s**2 - 2*s**3).\nAnswer: 35*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t + 6. Let q be a(8). Suppose -49*h + 74 = -24. Solve 0 = h*u - 4*i + q, 0 = 5*u - 2*i + 12 + 23 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**2 + 6*z + 1. Let l = 11 - 9. Let v(f) = -8*f + 2 + 13*f - 1 - 10*f**2 + 4*f**l. Let p(a) = -5*t(a) + 6*v(a). Determine p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k\/(k\/(k**(-3\/7)*k)*k))\/((k*k*k*k\/k**(-1\/2)*k*k)\/k**(6\/5)) assuming k is positive.\nAnswer: k**(-51\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6572793 to the nearest integer?\nAnswer: 2564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*h - 23168 = 0, -32880 + 9697 = -4*u + h. What are the prime factors of u?\nAnswer: 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 2655510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 2*f - 6 - 9*f**3 + 3*f**2 as y*f + i + t*f**3 + g*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 18*p**2. Let c(r) = -5*r + 643 - 8*r - 643. Give l(c(w)).\nAnswer: 3042*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 16*v + 630 = 0. Let r be (-1 + (2 - -3))*v\/(-24). Calculate the remainder when ((67 - 1)\/(-3))\/(10\/r) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 330\/(-396) - (-85)\/30.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10582.\nAnswer: 2, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-18) - (-164)\/54 and 169\/90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 7 - 1. Calculate the remainder when 0 + (2 - 0 - -1) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 3*t = -150. What is the remainder when t is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 4*a + 16. What is the hundreds digit of l(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12 and -39.15.\nAnswer: -51.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2828920 and 240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -17. Let y be 6\/c + 0 - 0. Put 5, -3, y in decreasing order.\nAnswer: 5, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1258, -2576, -3890, -5200, -6506?\n\"Answer: 2*z**2 - 1324*z + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 + -39. What is the remainder when f is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44411170 to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from dcayd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -409*x + 670. Calculate z(2).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8930*j - 6195.\nAnswer: 8930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 7)*(2*u - 3 + 3).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**7\/35 + f**6\/120 + 145*f**3\/6 + 123*f**2 + 6. What is the derivative of c(v) wrt v?\nAnswer: -24*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -116 - -26?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 - 14 = 0. Suppose -c*q - 19 = j, -3*j - q - 3 = -4*q. What is the least common multiple of 8 and 20*1\/(-8)*j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2\/11 - 18*s\/11 + 20\/11 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*t*w**2 - 2*t*w - 3457010*t + 260125*w**2 + w wrt w?\nAnswer: -42*t + 520250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6. Suppose 2*v + 2*a - 34 = l, -3*v = -0*v - 2*a - 51. What is the remainder when (-119)\/(-4) + 0 + 3470\/2776 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 32. Let n = z - -24. Calculate the highest common divisor of 21 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 5*f**2 - 6. Let j be (-40)\/(-4)*4\/10. Let l be b(j). Let k be 5\/l*0\/1. Solve -p - 5*h + 19 - 1 = 0, k = 4*p + 3*h - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483905268?\nAnswer: 2, 3, 7, 11, 174569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -703 plus -1216621?\nAnswer: -1217324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-67 - 19257\/(-294))\/((-2)\/(-4)*-1)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -35*k - 3150. Give n(-89).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8115, 0, 58, -3, -8 in ascending order.\nAnswer: -8115, -8, -3, 0, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/(408\/416) + 0. Let m = -17 - h. Which is the nearest to 14\/3? (a) -0.01 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*b = 359*b + 132. Let c be -6*4\/6 + -1. Let x be ((-88)\/10)\/(2\/c). What is the highest common factor of x and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29\/2 of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 4*w**2 + w + 4. Suppose -5*l - t + 6 = -19, t = 0. Determine y(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 50*k**2 - 577*k - 28841. Determine n(-50).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**4 + 48*y**3 + 56*y**2 - 48*y - 52 = 0.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9289\/19570 + -1\/1030. Is l bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/((-6)\/(-16)). Suppose -q = p*q - 165. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from jjnmmy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 15 = 5*c, 0*x - 10 = 2*c - 2*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41802*y**3 + 15027*y**2.\nAnswer: -250812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122 - -125. Let r(j) be the third derivative of -1\/48*j**4 + 0*j + 0*j**l - 1\/60*j**6 + 7\/240*j**5 + 1\/280*j**7 + 0 - 5*j**2. Factor r(p).\nAnswer: p*(p - 1)**2*(3*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v + 9*v = -v - 3*v. Let w(u) be the third derivative of 5\/24*u**4 + 4*u**2 + 1\/60*u**5 + v*u + 2\/3*u**3 + 0. Determine w(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 90189899.\nAnswer: -27056969.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**6\/21 - 754*m**5\/35 + 16901*m**4\/7 + 216564*m**3\/7 + 995301*m**2\/7 + 2011446*m\/7 - 3935. Factor a(j).\nAnswer: 2*(j - 193)**2*(j + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 - -16.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/22 and -109\/434?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*j**3*v**2 - 3*i*j**2*v - 45*i*j**2 - 7*i*j*v**2 + 11*j**3*v**2 + 3*j**3*v wrt v?\nAnswer: -2*i*j**3 - 14*i*j + 22*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -24*y**2 - 31*y**2 + 10*y + 54*y**2 - 10. What is q(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40401*o**3\/8 - 1177647945*o**2\/8 - 2929474*o - 29149\/2.\nAnswer: (o - 29149)*(201*o + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 6*o + 4. Calculate l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 12*y + 12. Determine q(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110110 (base 2) in base 16?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(20 - 2))\/((-1)\/(-8)). Solve -3*y = -y + r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/6 + 5*f. Let g(l) be the second derivative of -13*l**4\/12 - l**3\/6 + 64*l. What is g(n(h))?\nAnswer: -52*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 + 83. Let r(x) = x**3 + 5*x**2 - 2*x - 7. Let n be r(-5). Put 0, o, n in decreasing order.\nAnswer: n, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 1, t: 1, b: 1, r: 2, w: 1}. What is prob of sequence bor?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3779506 + -3779308.0083. Let t = 198 - g. Let s = t + -0.0537. What is s rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73358447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of ((-100)\/40)\/((-10)\/344)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 19 - (5 + 24)) + 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 + 468. Let q = v + -270.8. What is q rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4968 - -4967.96469. Round y to 3 decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*o = 18, 0 = -200*r + 194*r + 4*o - 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136 + -246. Let l = 292 + a. What is l rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2098956414 take away -109613?\nAnswer: -2098846801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 minus 184?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1117, 1867, 2615, 3361?\nAnswer: 4105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 628, 4952, 16682, 39520, 77168, 133328?\n\"Answer: 617*i**3 + i**2 + 2*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32193330, -32193591, -32193838, -32194065, -32194266, -32194435?\n\"Answer: x**3 + x**2 - 271*x - 32193061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*r**4 + r**2 + 18*r**4 + 198*r - 195*r + r**3 to the form l + s*r**2 + d*r + j*r**3 + q*r**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14900 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/20 + t**4\/2 - t**3\/3 + 246*t**2. Give c(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26*(-136)\/(-1326))\/((-20)\/(-6))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -501 + 1012 - 509 + p. Let i be -3*3 - (-2 + 1). Calculate s(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 2*r + 69 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i**3 - 5*i**2 - 2*i - 9. Let w(c) be the second derivative of -2 + 1\/6*c**3 - 105*c + 1\/5*c**5 + 5\/2*c**2 + 1\/4*c**4. Determine 3*r(z) + 5*w(z).\nAnswer: -z**3 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 409336957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43910*p + 4*p**2 + 11*p**2 + 2*p**2 + 44139*p.\nAnswer: 17*p**2 + 229*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.099 + -46.901. Let q = 47.000062 + p. What is q rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:33 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/22566 and 137\/6?\nAnswer: 22566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*k + 179. Let g = -17 - k. Suppose 2*r - q - 13 = -2*r, 5*q + 20 = 5*r. Solve r*s + 3*o = 30, -s - 4*s = -o - g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 50390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21726 and 2627639?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + s**2 - s\/3 - 1.\nAnswer: (s - 1)*(s + 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4782 = -5*q, -2*p - 4779 = 5*q - 10*q. List the prime factors of (q\/(-44))\/((-9)\/120).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*q**3 - 32*q**3 - 25*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (92 - (71 + -18)) + (2 - -14)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h + 1. Let m be (-4)\/(-1*(-3)\/(-12)). Suppose -j + 3*j + 4*b = 12, -m = -4*b. Let z be -4*(j\/8 - 0). Determine n(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 3\/2, 3\/4.\nAnswer: -4, 3\/4, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 13 = 39. Suppose -2*k + 54 = -4*g - 16, -5*k + 189 = 4*g. What is the remainder when k is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32021 is divided by 46.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12906551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -19 (b) 2\/3 (c) -2\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 197631 and -1458.9904.\nAnswer: 196172.0096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 4. Suppose 171 = -2*o + 5*o + 3*w, -o + 77 = -3*w. Let a(h) = -o - 9 - 56*h - 6. Calculate -4*a(y) - 77*q(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 + 516\/60. Suppose 41 = q*j - 13. What is the third derivative of 94*w**j + 9*w**2 - w**2 - 106*w**6 wrt w?\nAnswer: -1440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.27 and 19.711?\nAnswer: 5.32197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcx when three letters picked without replacement from xxbxcjcccjjcf?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -123468 (base 12) in base 9?\nAnswer: -501208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 54*a**2. Let c(w) = 74*w + 79*w - 151*w - 1 + 1. Determine c(s(f)).\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -469*i + 2340. Let p be z(5). Sort 4, p, 194 in ascending order.\nAnswer: p, 4, 194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14673 + 41578. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q - 1400 = 23*q. Suppose x - 224 = 3*y, -5*x = -3*y - q - 710. What is the remainder when x is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 12*s + 2. What is l(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5442224 (base 6) to base 3.\nAnswer: -111201111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 385 = 8*m. Find the third derivative of -10*b**3 - b**2 + 77*b - m*b wrt b.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9214 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12396 = -1297*j - 2939*j + 79598 + 26614 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 20*w + 55. Let o be d(-17). Suppose -8*b = 2*g - 11*b - 128, -o*b + 276 = 4*g. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 744 = 5*i, -2*i + 5*i = 0. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2488)\/(-933)*3\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (35 - 19) - (1 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*x + 140 = -362, -2*x + 110 = b. Let u(w) = -w. Let a be u(-3). Calculate the highest common factor of a and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52775, 105624, 158477, 211334, 264195, 317060?\n\"Answer: 2*q**2 + 52843*q - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*p = -3*p + 33, 0 = b - 5*p + 1. Let f be b\/21 + 17\/(-3). Let u(g) = 4*g**2 - g - 6. Is u(f) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88288 minus 23902.96?\nAnswer: 64385.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 174132*f*r**2 - r**2 - 105275 with respect to f.\nAnswer: 174132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 5 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*x - 34. Let h = x + 42. Calculate the smallest common multiple of h and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(2\/13)*s)**(-2)\/(s**(1\/13)*s*s\/(s\/s**(-1\/9)*s)) assuming s is positive.\nAnswer: s**(-734\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10012123133 - 31?\nAnswer: -10012123230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h**4 - 8*h + 693.\nAnswer: -36*h**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/13)\/w*w*w*w*w\/w**(-5\/8)*w\/w**(5\/8)*w**(2\/11) assuming w is positive.\nAnswer: w**(576\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - 79. Factor -1\/3*o**x + 0 + 0*o**2 + 0*o - 2\/3*o**3 - o**4.\nAnswer: -o**3*(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/115, -824, 0.3, 0, 4 in decreasing order.\nAnswer: 4, 0.3, 0.2, 0, -2\/115, -824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139520724 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: Let x(a) = a. Let i(q) = -6*q + 0*q + 9*q - 2. Suppose 2*t + 15 = 4*b + 1, -4*b + 35 = 5*t. Let r(u) = -7*u + 5. Let s(z) = b*i(z) + 2*r(z). What is x(s(l))?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*d - 10. Suppose -a = -3*t + 53, -d*t = -0*a + 5*a - 39. Solve -i - u = u - 3, u + t = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/3 + 3293780*b\/3 - 1356123336050\/3 = 0. Calculate b.\nAnswer: 823445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -1401.3\nAnswer: -12611.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 13. What is l(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461252856.\nAnswer: 2, 3, 23, 835603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9607, -38419, -86427, -153625, -240007, -345567, -470299?\nAnswer: -614197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.62 - 3.1. Let m = -13.98 - d. Let w = -13.49999937 - m. What is w rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8531?\nAnswer: 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274155?\nAnswer: 3, 5, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 37\/4, -4.5, 4, -2, -43, -0.2 in decreasing order.\nAnswer: 37\/4, 4, -0.2, -2, -4.5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -608, -605, -588, -551, -488, -393, -260, -83?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30323 * -0.4.\nAnswer: -12129.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29943 + -2694983\/90. Calculate the common denominator of g and (-107*(-2)\/(-16))\/10.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -3 + 22 + -46?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 13 + 19 = 0. Are 5 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 39 = 4*f, 331016*u - 55 = -5*f + 331011*u for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -2)*(32\/(-14) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 + 2*a + 2. Suppose -8*z = -6*z - 196. Let r = -102 + z. Let i(n) = 21*n**3 - 11*n - 11. Give r*i(c) - 22*b(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 42 + 81 - 160.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 121*z**6\/24 + z**5\/60 - 7*z**4\/24 - 20*z**3\/3 - 79*z**2. What is the third derivative of n(h) wrt h?\nAnswer: 3630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h**2 - h - 1. Let t(a) = 7*a**3 - 3*a**2 + 3*a - 2. Let j(z) = 3*c(z) + t(z). Differentiate j(b) with respect to b.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 2 + 2)*(1 - 3 + 4)*(-4 + 5 - 2) + 8*g - g + 7*g in the form b*g + v and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -2?\nAnswer: -105\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/4 - 0 - (-78)\/(-104). Let n be 0\/2 - b - (18 - 19). Solve -5*r = 4*i + 2 - 7, 2*i = -2*r + n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3952*l**3 + 1107*l**3 + 2852*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211 + -1101?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 + 7 = 0. Suppose 5 = 3*f - n. Suppose 0 = -f*t + 8 + 16. Let s(q) = q**2 - 8*q + 4. Calculate s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 6*y - 10*r - 26, -71 = 3*y + 4*r. Let q(t) = -t**3 + t**2 - t + 3. Let l be q(0). Let j(o) = 2*o**2 + 1 - 5*o - l*o**2 + 2*o. Determine j(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5, 5*f + 10 = -5*o - 5. Let z be 1 - (58 + o)\/2. Let u = z - -45. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6816\/142)\/((-128)\/(-224)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z**2. Let j(y) = -18*y**2 + y. Calculate j(d(l)).\nAnswer: -2178*l**4 + 11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 9*k**3 + 0*k**3 + 2*k**2 + 0*k**3.\nAnswer: 9*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000389814 to six dps.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/4)\/(-7))\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - g + 1085. Let o be n(0). Let w = 545 - o. Round w to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) + 0 + sqrt(117))*3 - ((sqrt(1053) + 4 + sqrt(1053) - sqrt(1053)) + 1*sqrt(13)*1)**2) + 0.\nAnswer: -1316 - 170*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*x = -127*x - 648. Calculate the common denominator of (-72)\/x*8\/(-9) and (-98)\/(-66) + (2 - 2).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 10764*d**2 - 42972*d + 53740.\nAnswer: -4*(d - 1)*(d + 5)*(d + 2687)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30918 + 44536 = -22*r + 293436. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w + w - 2*w + 3*w**5 wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6183 and 5546838.\nAnswer: 49921542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3838848 divided by 36912?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3422048.\nAnswer: 2, 7, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/42)\/(1306\/(-292544)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 5*b**2 + 6*b - 5. Let x be d(4). Suppose -3*y = -5*k, -y = -k + x*k - 11. Solve 0*v + 0*v**k + v**2 - 1\/2*v**4 - 1\/2 = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 4*r - 72, -3*z - 108 = 10*r - 284 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -138*a**2 - 6939*a + 9. What is g(-50)?\nAnswer: 1959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/4 (b) -2\/3 (c) 8\/37 (d) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -451554, 0.3, 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*h + 98188 - 94148 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6312 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9657 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orrr when four letters picked without replacement from {r: 5, o: 7}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 604022142 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 3:57 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 2254 (c) 0.3 (d) -0.4 (e) 2 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -13\/3, 1.356122, 0.3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.8 + -18.3. Let z be 2\/13 + (-76)\/156. Which is the smallest value? (a) z (b) -4 (c) s (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:18 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8109, -9814, -11519, -13224, -14929?\n\"Answer: -1705*q - 6404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*l + 15, 2*l + 5*w - w - 18 = 0. Suppose -1 - 11 = -u + 2*y, 9 = 4*u + 5*y. Solve -m - b = l*m + u, -1 = -m + b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/36 or -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -24*m**2 + 3*m - 3. Let g(w) = -15245*w. Determine g(k(c)).\nAnswer: 365880*c**2 - 45735*c + 45735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 1, i: 2, z: 1, x: 3, h: 6}. What is prob of picking 2 l?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17010.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*9\/13392*(4 - (-3 + -1))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -365 - -372. What is the second biggest value in -1\/6, -1\/3, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*b + 65*b - 396*b + 125*b = -3480 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 213209 or 213221?\nAnswer: 213221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 27 = -2*k. Suppose 0 = 17*z - 163 + k. Let o be (1 - 4)\/((-2)\/2). Solve -o = a - z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -4 (b) -0.2 (c) 5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2693 divided by 9462?\nAnswer: -2693\/9462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.187 and 206.\nAnswer: -38.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 11:38 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 + 13 = c, 5*h - 33 = -4*c. Let t(s) = -s**2 + 7*s + 5. Give t(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmpl when four letters picked without replacement from {p: 3, l: 3, n: 2, e: 1, m: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (44 + -45 + (8 + 25 - -1)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -317803.35932276.\nAnswer: -317802.85932276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24455 - -4?\nAnswer: -24451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*x - 9343 = -8108 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1\/5)*5. Let g(t) be the first derivative of -4*t**2 - 2*t + 3. What is the remainder when g(x) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:57 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.4 + -0.6. Suppose 2*v = -0*v - 8. What is the nearest to -2\/9 in 5\/6, v, y?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -41. Let a(r) = r**3 + 7*r**2 + 50*r + 207. Let x be a(-5). Solve x*i + z = -9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3\/5, -0.05, 3, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmiiiibbqbi. What is prob of sequence iib?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j - 2. Let t = 672.5 + -676. Which is greater: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 28 = -2*g + 6, -5*g - 25 = 0. Suppose -2*c + 13 = -9. What is the least common multiple of c and k\/6 + (-1)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bim when three letters picked without replacement from {b: 1, a: 2, i: 4, c: 2, s: 1, m: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2074464193 from 3.\nAnswer: -2074464190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - -29700?\nAnswer: 296a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -26, -27, -30, -35, -42, -51?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58494.83l in millilitres?\nAnswer: 58494830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 2\/1059505 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*p = k + 105*p - 1, 5*p = -4*k + 18 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -100*m + 45. Does 8 divide x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8881127.93 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 8:21 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-42))\/(o\/(o*(o*(o\/(o\/((o*o**(-6)*o)\/o)*o))\/o*o)\/o))*(o*o**(-47)\/o*o)\/(o*o**(14\/3)) assuming o is positive.\nAnswer: o**(-296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 172430*k**2 - 172430*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 238195692 and 7683732?\nAnswer: 238195692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*d = d - 140, 0 = -a - 2*d - 34. Let c = -36 + 66. Let h = c + a. Solve 2*b = k - 3, h*k - 5 = 5*k - 5*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 17*x**2 + 69*x - 5014. Give a(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y - 1. Suppose s - 42 = -2*k, 0 = s - 6*s + 5*k + 135. Let v = 54 - 49. Suppose -27*m = -s*m + v. Calculate o(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 334 - 327. Solve 5 = -i*v + 26 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -725*v**3 - 4*v - 4. Let z(x) = 43498*x**3 + 239*x + 239. What is 239*m(b) + 4*z(b)?\nAnswer: 717*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -636254 - 1?\nAnswer: -636255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 3330.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13*z**2 - 11*z + 18. Let q(w) = -7*w**2 - 6*w + 9. Let u(r) = 6*l(r) - 11*q(r). Let j be u(3). Solve j = y - 2*t + 14, 2 = -3*y + 5*y + 2*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 17. Suppose -g = 5*o - 61. Which is bigger: 2\/55 or o?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 135, 266, 459, 720, 1055, 1470, 1971?\nAnswer: 2564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -47. Suppose p + 2*t - 6 = j, -29 = -5*p - t. Solve 6 = -p*m - 2*g + 3*g, -3*g = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143653861 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1937698 + -0.7165088. Let j = -0.67029 - a. Let s = j - 0.24. What is s rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2. Let q be -1 - 1 - (-4 + 5). Let l be m(q). Let i be (1 + (-11)\/l)\/((-4)\/6). Which is the closest to -3? (a) 0.2 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 8*w + 1. Let p = -8 + 15. Let s be t(p). Let i(k) = 455*k**2. Let a(r) = 13*r**2. Let g(v) = s*a(v) + 3*i(v). Let j(y) = y. Give j(g(x)).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 474711*d + 1103783 wrt d?\nAnswer: 474711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 + -91. Suppose -8*t + 7*t = -n. Solve 5*k = 5*r, 3*k + r + t = -0*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:17 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + -1. Let m be (68\/3)\/((-7)\/(-21)). Let s be 0 + -5 - (-357)\/m. Which is greater: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1.125 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 202?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8330*b**2*o**3*q**2 + 483*b**2*o - 13*b*o**3 - b*q**2 - 2*o**3 wrt q?\nAnswer: 16660*b**2*o**3*q - 2*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 2*l - 11*y + 6, 4*y - 5 = 3*l. Suppose 9 = 2*s + l. Solve 0 = -2*k + s, 3*k - 2 = 5*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 18, -98 in decreasing order.\nAnswer: 18, 3, -2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.006799534 - 0.0068. What is j rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, h: 16}. Give prob of picking 2 h and 2 f.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-70)*-155*(-492)\/(-2). Suppose -m - 4*n = -s, 2*m + 6*n = 4*n + 7596. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -22*w**3 + w**2 - 1. Let b = 17 + -11. Suppose 1 - b = 5*c. Does 9 divide a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-42)\/(-3 - -6). Let q = l - -18. What is the units digit of (-1 - 3\/(-3)) + q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 + 1. Let r(h) = -h + 7. Let i be r(7). Let u be b(i). Let l(w) = w**2 + w + 0 + u + 0*w**2. Determine l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194835899947 take away -50?\nAnswer: 194835899997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2193263.9464 - -4?\nAnswer: -2193259.9464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) 4 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**3 + 416*f**2 - 3*f - 549 wrt f.\nAnswer: 6*f**2 + 832*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 14. Let h be z(-5). Let r(p) = -p**3 + 19*p**2 - 7*p + 82. Does 30 divide r(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 44.41. Let s = d + 0.39. Which is the closest to -3? (a) 2 (b) s (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334344 (base 5) to base 10\nAnswer: -11849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 44670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -926*h + 931*h - 89 = -3*j, j - 35 = h for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 339 divided by 3\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwdckckv. What is prob of picking 1 w, 1 k, and 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -602546 + -2?\nAnswer: -602550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 73.6? (a) 3\/2 (b) 0.2 (c) 0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 91, 165, 259, 379, 531, 721?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 54?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31326*v - 31162*v + 3608 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.04, 40, 2.34, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.60258767 rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/99 - (-70)\/9. Let i be 7\/((-28)\/o) - -50. Let h = i + -23. 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 value of 21 + -20 + 2 + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 54.7. What is the fourth smallest value in -2\/5, 2, -4, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-95*r + 146*r - 122*r)*(0*r + 4*r - 5*r).\nAnswer: -142*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 14648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -461 + 463. What is the nearest to -1\/5 in -3, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-516)\/(-86)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-12 - (-19 + 12)) + 40)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (456 - 440)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((15 - 29)\/42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - 3*h**2 - 3*h - 3. What is t(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1182235*-4.\nAnswer: 4728940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 2, g: 3, m: 1, e: 5, s: 1}. What is prob of picking 1 g, 1 m, and 1 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 76*n - 26*n + 206*n + 63*n - 31*n**2.\nAnswer: -31*n**2 + 319*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0127 and -0.11807.\nAnswer: -0.13077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 20 = -y. Calculate the least common multiple of y and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + h - 1 = -0*r, -4 = -4*r - 5*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 13. Let b(g) = 2*g - 19. Let n be b(15). What are the prime factors of f(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:11 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2749 = -35*b - 17*b - 1241 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 7)*(-2*a + a + 2*a + (-a - 4 + 4)*(0 + 0 + 1) - 3*a + 3*a + 2*a) to l*a + k and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-7 - -15)) + -16 - (-6 - -3) - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10.4 and -209978.79.\nAnswer: -209968.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1 - (42\/(-6) - 0). Suppose f = 4, 0*j - 4*f = -2*j - 8. Solve -c*l + 5 = -j*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*o - 81 = 12*o - 17*o, -5*p - 4914 + 23069 = 585*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7 = -2*i + 23, 5*v + 22 = 3*i. Find the common denominator of (-979)\/(-22) + -1 + v and ((-9)\/(-6))\/((-24)\/134).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v + 0*v**4 + 4*v**2 - 1\/3*v**3 + 0 + 1\/60*v**5. Differentiate z(b) wrt b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 - -104. Let n(a) = a**3 - a**2 + 13. Determine n(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28405 divided by 27.\nAnswer: -28405\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i - 5. Let b(z) = -z. Determine -6*b(d) - k(d).\nAnswer: -d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-14 - (-11 + -9) - -13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 3. Let b = 10 + g. What is the second derivative of b - x - 2*x + 4*x**2 - 6 wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2033\/105 + -136\/7. Which is smaller: a or -840?\nAnswer: -840","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 1:42 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5770.283t in kilograms?\nAnswer: 5770283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/56 and -73\/210?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-2 + (1 - -1)). Let p(i) = i + 13. Let j = 31 + -7. Calculate the remainder when j is divided by p(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*u - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**5\/40 + z**4\/6 + 5*z**3 + 9. Let q(l) be the third derivative of i(l). Differentiate q(s) wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + (-5 + (2*sqrt(243))**2 + sqrt(243) + sqrt(243) - (2 + (sqrt(243) + -2)**2)))*2.\nAnswer: 108*sqrt(3) + 1438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from bazbbzzzzbz?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**2\/2 - k - 1. Let b = -7 + 13. Let f be b\/6*2\/(-1). Calculate l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 73*w - 2. Let n be q(3). Let j(y) = y**3 + 15*y**2 + 22*y - 137. Let p be j(-12). What is the highest common divisor of p and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 3:35 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -16.1. What is the smallest value in o, 2, 3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 6*k - 4. Suppose -2*v + 21 = -5*v. Let o be j(v). Solve -o*x + 2*x = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 109?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-136.3211710099\nAnswer: -136.7211710099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3 - 12827*i**2 + 51296*i - 51292 = 0 for i.\nAnswer: 2, 12823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 153038065.\nAnswer: 1\/30607613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -2. Suppose 2*o - 6 = -2*y, -4*y = -w*o - 8 - 12. Let m = 3.8 - 3.7. Which is the nearest to m? (a) -1\/5 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d1c97 (base 15) in base 3?\nAnswer: -22101122122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 385, -2 in ascending order.\nAnswer: -4, -2, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 6*j + j. Let x(c) = -2*c**2. What is x(h(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 11, -1, -5, 16 in decreasing order.\nAnswer: 16, 11, -1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(50\/(-5))*4. Let q(h) = -h**3 + 2*h**2 + h - h + 3*h - 1. Does 4 divide q(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 35 = -7*c. Let d = -12 + 16. What is the lowest common multiple of d and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxuv when four letters picked without replacement from {u: 2, x: 3, v: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 153483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(245))**2)*5 - 1*2*sqrt(245).\nAnswer: -14*sqrt(5) + 1210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8347803 (base 9) in base 12?\nAnswer: 15b14a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*r**2*z**2 + 2*f*r*z - 27*f*z**2 + 60*r**2 + 3*r*z + r + 2*z**2 wrt z?\nAnswer: -4*f*r**2 - 54*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 191*j - 555*j + 22*j**2 - 2 + 183*j + 1 + 185*j to the form z + w*j + k*j**2 and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*g - 13*g - 27*g**2 + 65*g wrt g.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmrh. What is prob of sequence hmrm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-22)*(330\/(-174))\/(-5)?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396) + -1 - ((sqrt(396) - (sqrt(396) + 2))*-3 - sqrt(396)))**2.\nAnswer: -192*sqrt(11) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 27\/3 + -1. Let v = a + -10. Suppose v*k = 5*k - 45. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/10)\/(-2))\/(13520\/(-50700))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9450 and 11025.\nAnswer: 66150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 5, 1\/2, 90, -3, 2\/3, 2\/7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182136 divided by -2.\nAnswer: -91068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + (-732)\/36)\/((-15)\/180).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1212221121000 (base 3) to base 4\nAnswer: 3310310313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4814, -4815, -4816, -4817?\n\"Answer: -l - 4813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*335 - (18\/6)\/3.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 27*b**2 - 13*b - 85. Determine x(-27).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.729 + 0.271. Which is the second smallest value? (a) -2 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 - 1968*w**3 - 77316*w**2 + 2129856*w + 4553280 = 0. What is w?\nAnswer: -612, -62, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664519646.\nAnswer: 2, 7, 97, 489337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 550 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2\/3*n**3 + n**2 + 0*n - 1\/6*n**4 + 1. Let t(u) be the second derivative of g(u). Differentiate t(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 618*w + 20. Let o be q(1). What is the highest common divisor of o and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q + 26. Let s be m(8). What is the second biggest value in s, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u + 3. Let m be 4\/(18\/12*(-2)\/(-54)). Let j(z) = 2 + m*z - 2 - 70*z. Calculate j(h(f)).\nAnswer: -20*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 218*p**2 - 1401*p + 12768. Give c(224).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2422957\nAnswer: 7268871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/391290536 and -93\/21265790?\nAnswer: 1956452680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/(1333\/620)*((-45)\/(-21) + -2)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 340 = -17*t. Let j be (-38)\/95 - (t\/(-10) - 1). Suppose -1298 = -5*w + 4*n - 148, -3*n - 921 = -j*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8215558, 16431110, 24646660, 32862208, 41077754, 49293298, 57508840?\n\"Answer: -z**2 + 8215555*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-650))\/((-36)\/6*5\/(125\/(-15)))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.476 + -0.42. Let n = 0.017 - x. Let c = n + -0.061. What is the third smallest value in -3, c, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-2 - 2*q - 2*q + 5*q) + q + q + 0*q.\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.0671.\nAnswer: -0.0671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 209093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h = 22*h + 40. Suppose -h*m + 11*m = 104. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-1)*((-13)\/4 - -3). Solve 0 = p*v - 5*r + 15, -2*v - 2*r + r = -6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjivsvijvsvj. What is prob of sequence yi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 - 40*d**2 + 77*d. Let r be p(11). Suppose -t = 2*t + 12. What is the tens digit of (2 + r - t)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1086 and 45114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, n: 5}. What is prob of sequence njn?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101001111000011101 + 101?\nAnswer: -11101001111000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 2568?\nAnswer: -1\/856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*b - 5*b - 10 = 0, j = -4*b - 14. Find the third derivative of 4 - 4 - o**5 - 4*o**j wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 2. Let h be r(-1). Let i = 71 - h. Let q = i + -37. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 0.4 (c) 4559\/5 (d) -5\/2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siy when three letters picked without replacement from ixssssyseksyeiykiiys.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryhyfhbyrywr. Give prob of picking 1 y, 1 w, 1 f, and 1 b.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*d = 415*d + 559*d - 17204 - 49936 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132 - 52. What is the greatest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1139, 1483, 1827?\nAnswer: 2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 9. Suppose 0 = -o*v + 2*a + 20, -2*v + a + 20 = -2*a. Let t(j) = -5 + 4*j - 2*j + 1. Determine t(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230302254.\nAnswer: 2, 3, 7, 13, 60257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.578 - 0.422. Let u = 9 + q. What is the third smallest value in u, 52, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 765\/(-42) - (-2)\/(-7). Let p = -18 - v. Suppose -4*o + 0*t = 5*t + 11, -5*o + 5*t + 20 = 0. Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 + 1050*w + 1052 = 0. Calculate w.\nAnswer: -1, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16904, -33718, -50542, -67382, -84244, -101134, -118058?\n\"Answer: -k**3 + k**2 - 16810*k - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*x = 136*x + 377*x + 16614 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2680 = -3*l, 5*f = 10*f - 5*l - 3350. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26273 (base 8) to base 5.\nAnswer: 331301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - 32\/5)\/((-1)\/1205)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*n - 114*n + 199*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -177272, -709054, -1595346, -2836148, -4431460?\n\"Answer: -177255*j**2 - 17*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1022\/997 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837.\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*c*i**4 - 92959*c*i**2 - 30294033*c wrt i.\nAnswer: 28*c*i**3 - 185918*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 155655663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -27. Let c be 1 + -2 + (-14)\/(-18). Put c, 4, l in increasing order.\nAnswer: c, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1411763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 3*l**2 - 11*l**2)*(-l - 1 + 1 + (0 + 2 + 0)*(-2*l + 6*l - 3*l) - l - 2*l + 4*l - 1).\nAnswer: -28*l**3 + 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5485, 10994, 16517, 22060, 27629, 33230?\nAnswer: 38869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/4 + 4)\/((-1)\/(-30)). Solve -u - 4*u - z = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6.2. Let m = 2\/35 + 12\/35. Let p = -4.5 - -4.2. What is the closest to p in -1\/3, m, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19332 by -133.\nAnswer: 19332\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 36.803449471742 + 0.3\nAnswer: 37.103449471742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooc when three letters picked without replacement from {o: 3, c: 12, q: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/73 + 118\/511. Let w(i) = -i**3 + 16*i**2 - 17*i + 30. Let u be w(15). Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o*y + 831668*o + 34837*y**3 - y wrt y.\nAnswer: 2*o + 104511*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85317196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 200*o**2*s + o**2 - 39*o*s + 51*o + 4*s + 127791 wrt o?\nAnswer: 400*o*s + 2*o - 39*s + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 137\/2 in 6.5, -55.2, -0.1?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499) + 4*sqrt(2499) - sqrt(2499))\/(sqrt(12)\/sqrt(64)).\nAnswer: 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1284)\/60 + 66\/15\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1.99665\nAnswer: 5.98995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111 (base 2) in base 16?\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -256 + 370. Let b = c - 109. Solve 4*r - 15 = u, 0 = b*u - 2*r - 14 - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 5*r**2 - 5*r + 4. Let u be h(4). Suppose u*b = b - 2. Let 12 - 3*x**3 + 2*x - 18*x**b + 10*x + 15*x**2 + 0*x**3 = 0. Calculate x.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26523 + -3\nAnswer: -3.26523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u + 0 - 1 - 1. Let g(k) = 30793*k + 117. Let f(z) = -1044*z - 4. Let h(r) = 59*f(r) + 2*g(r). Calculate 7*h(o) - 6*s(o).\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 5. Let v be j(-6). Let w be 2 + 50 + v + -1. Let t be (-1)\/(-3) + w\/6. Solve -t = 2*n - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 57*d - 27. Let t(m) = 58*m - 26. Let l(w) = -2*k(w) + 3*t(w). Differentiate l(x) with respect to x.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a**3 - 2094*a**2 + 517*a - 1826. Give h(-262).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1322 (base 7) to base 14.\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614*a + 5*m + 383 = -611*a, 3*m - 831 = -6*a. Solve a*v - 142*v - 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32011103 - 1202331?\nAnswer: -33220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 2040?\nAnswer: -11\/1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1\/5, 6\/5, 0.4 in descending order.\nAnswer: 6\/5, 0.4, -1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 13*m**2 - 13*m - 12. Let h be f(-12). Sort -1, h, -4\/5 in descending order.\nAnswer: h, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l - 18 = -40 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 6*x**2. Suppose -2*b = -5*l - 10, -b - 3*l = -6*b + 6. Let o be (b - 8)*(-6)\/8. Let q(g) = 6*g**3 - 17*g**2. Calculate o*q(h) - 17*v(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32634 + 1151321 = 107*v. Does 128 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/18 and (3 - 159\/51) + (-516)\/1683?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**6\/6 - 7*q**4\/2 + 7*q**3 + 48. Find the third derivative of f(v) wrt v.\nAnswer: 60*v**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 435*h\/2.\nAnswer: -h*(h - 870)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (19 + -16)\/(1 - 0). Solve 4*k - 40 = 5*g, g = 4*g - c*k + 27 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*m**3 - 10127030*k + 2287*m**3 + 26788*m**2 - 3*m wrt m.\nAnswer: 12*k*m + 13722*m + 53576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2426142 (base 9) in base 10?\nAnswer: -1316693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35473.\nAnswer: 19, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018109096 rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6448 and 416.\nAnswer: 12896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 2365 = 64*d. What is the hundreds digit of (1 - 0) + -24*(d + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.24791 and 0.0868.\nAnswer: 0.021518588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from lljmmmmjmjmlllj.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28272265 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 7, h: 6}. What is prob of sequence yhg?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 869964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*f + 26*f. Let j(u) be the first derivative of 4 + 1\/2*u**4 + 2\/3*u**3 + 0*u**2 + f*u. Find the third derivative of j(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (46\/(-2))\/((-9)\/(-18)). Let b = h - -38. Is (-1722)\/b - (-3)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16355\/3 + -5452. Let v = -2.5 - -3. Put -0.2, h, v in increasing order.\nAnswer: h, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 + 6*o**2 - 3*o. Let q(g) = -6*g**3 - 9*g**2 + 4*g. Determine 7*m(x) + 5*q(x).\nAnswer: -2*x**3 - 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10636690 divided by 113.\nAnswer: 94130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**3*u - 3*b**3 + 2*b**2*u - b**2 - 126*b*u - 2*b + 2*u - 8 wrt b.\nAnswer: 36*b*u - 18*b + 4*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 5*s - 35, -2*l - s = -0*l - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**7\/280 + a**4\/12 - a**3\/6 - 2*a**2. Let c(u) be the first derivative of k(u). Find the first derivative of c(t) wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.187856716 - 41252\nAnswer: -41251.812143284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68\/16 - 6\/(-8). Let s = 3 + 1. Suppose 10 = -2*u, 10*t - 5*t = s*u + 30. Solve -t*p = a - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7183634 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45.00509 - 0.01241. Let i = x - -45. Round i to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*n - 53, 0 = 53*t - 49*t - n - 23. Solve -3*w + 18 = -5*p, 5*p - t = -2*w + 5 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**9\/22680 + b**8\/5040 - b**7\/3780 - 7*b**4\/12 - 3*b. Let s(m) be the third derivative of i(m). Let s(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*p + 18, -2*p + 34 = -0*p + 5*u. Solve -2*f = 5*o + 6, o - 2 = 4*f - p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*w**4 + 1\/4*w**2 + 1\/2*w - 1\/2*w**3.\nAnswer: -w*(w - 1)*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v. Let j(l) = -558*l. Give j(i(o)).\nAnswer: 2232*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/230 - k**4\/69 - 13*k**3\/69 - 10*k**2\/23 + 105*k. Find a such that c(a) = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -9. Calculate the greatest common factor of p and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**2 - 4*l**2 + 2*l**3 + (l + 0*l + l)*(3*l**2 + 0 + 0) as f*l**2 + d*l + t*l**3 + p and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 3:47 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.912 + 35.976. Let d = s - 29. What is d rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 6*m**2 - 9*m + 6. Let h be b(-6). Let f be ((-12)\/7)\/((-4)\/28). Calculate the greatest common divisor of h and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38599387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*s - 56 = 0, 15*s = -n + 12*s + 27. What is the highest common factor of n and 1110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64635042 - -1?\nAnswer: 64635043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 8*n**2 + 8*n + 11. Let b be c(9). Let p(q) = 5*q**2 - q**2 - 5*q**b - 2*q**2. Let r(j) = -j. Calculate r(p(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -98.8 and -29556.33.\nAnswer: -29655.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-22)*(j*j**(2\/9))\/j assuming j is positive.\nAnswer: j**(-196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 6 = -3*m + 2*z, -5*m + 2*z = 14. What is the hundreds digit of 201 - (m - 0) - (-3 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0)**7*(v**0)**(-4) assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/116 and ((-1)\/(-10)*-69)\/(2\/42*54).\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/10242*336\/(-9). Let l = 2\/569 - r. Let -l*w - 2\/9*w**3 + 0 - 4\/9*w**2 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/60 + 59*i**5\/60 + 9*i**4\/8 - 6*i**3 + 1322*i**2. Give t(-29).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k**2 + 2*k - 37. What is q(4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6 - 17*u + 14 + 0 - 6. Let m be h(-4). Let p be (84\/8)\/((-27)\/(-36)). What is the highest common factor of p and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 394\/3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/18*-1)\/(-16*(-21)\/8568).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2525077*q**3*z**2 - 3*q**3 + q**2*z + 2*q*z**5 - z**3 + 22*z - 3458 wrt z?\nAnswer: 5050154*q**3 + 40*q*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990385 and 286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 45 and 0.3968.\nAnswer: 45.3968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**2 - 4*r + 4*r + (0*r + 0*r + 5*r)*(2 - 2 + 2*r) + 4*r - 4*r + 3*r**2 as i*r + x + t*r**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y\/y**(-29)*y)\/(y*y**(-12)))\/(y**(-2\/45)*y\/y**19) assuming y is positive.\nAnswer: y**(2837\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4. Suppose -5*s - u = -24, -5*s + w*u + 2*u + 12 = 0. Suppose 0 = -b - 4*z + 6 + 7, -5*b + s*z = 7. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.265 less than -1?\nAnswer: -0.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218990 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 5*q - 4*c, -q + c - 16 = -c. Let g be q + 14 - -1*6. Let t = 74 + -522\/7. What is the closest to g in t, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 616*g**2 - g. Let x(d) = 4608*d. Give x(z(r)).\nAnswer: 2838528*r**2 - 4608*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102384081 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 57*v**3 + 89*v**2 - 4*v + 5. Determine x(-2).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, 0.9364 in decreasing order.\nAnswer: 0.9364, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4421 - 60?\nAnswer: -4511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 310*s**3 - 14*s**2 - 5*s - 136800 wrt s.\nAnswer: 930*s**2 - 28*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d - 6. Let v = 4 - 10. What is the tens digit of o(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + s**2 - 2*s + 95. Let l be v(0). Suppose -l*x = -99*x + 56. Let z(m) = m**3 - 14*m**2 + 7*m - 26. What is the units digit of z(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -745248345*o*r**3 - 2*o*r**2 + 11*o*r + 3859*o + 17*r**2 + 3*r - 1 wrt r.\nAnswer: -4471490070*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32441420 (base 6) to base 13.\nAnswer: -27c546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15489702 - 0.04931?\nAnswer: -15489702.04931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b + 99. What is h(24)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 10.25216.\nAnswer: 10.05216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2057, 8, 1, 3 in descending order.\nAnswer: 8, 4, 3, 1, -2057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34496 and -14.3635.\nAnswer: 34481.6365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c - 1. Let y be b(-6). Let w = -63 + y. Suppose 0*i = 4*t + 4*i - 204, 241 = 5*t - w*i. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 + 4 - 4*p**2 - 2)*(1 - 3 + 3)*(-41 + 29 + 201).\nAnswer: -1701*p**2 + 378","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55403 (base 7) to base 13.\nAnswer: 6449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 89363.63 nanograms?\nAnswer: 0.00000000008936363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1132412.890097 - -1132270.89. Let i = j - -142. Round i to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3044 - 10?\nAnswer: -3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -17314411.\nAnswer: -17314410.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**3*q**5 + 53*m**3*q**4 + 3*m**3*q - 2*m**2*q - 46*m*q wrt q?\nAnswer: -60*m**3*q**3 + 636*m**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393*n - 436*n + 5805 = 0. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 1. Let y(u) be the third derivative of u**4\/12 + u**3\/3 - 10*u**2. Determine -5*g(c) - 3*y(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021102 (base 3) in base 9?\nAnswer: -2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*o - 75, s + 0 = 4*o - 12. Let a be (-1)\/(-4) + (3020\/s)\/(-5). Is a >= 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18020 - -18022. Solve -q + v*d + 14 - 19 = 0, 4*q = d - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30801?\nAnswer: 3, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3315 less than 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, 66, 5, 0.3 in increasing order.\nAnswer: -0.5, 0, 0.3, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*p - 3*p - 4*p)*(2 + 2 - 6) - 2*p - 2*p + 2*p)*(-48 - 3*p - 30 - 16) in the form o*p**2 + r + z*p and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/13 - 2814*h**2\/13 + 999600*h\/13 - 6860000\/13.\nAnswer: 2*(h - 700)**2*(h - 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i + 66*i - 72 = -5*s, -422*s = -3*i - 5911 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 5*r - 4*t + 92, 5*t = -20. Let x = -30 - r. Solve x*n + 0*n = 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5717 + -5716.7479. Let p = -0.2982 - b. What is p rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 - 2*z - 6*z - 6*z + 77 + 3*z**4 - 2*z**3 to the form b*z**3 + h*z + t*z**2 + k*z**4 + a and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48953*w**2 + 29225*w.\nAnswer: 97906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(48) - sqrt(192)\/sqrt(4))\/sqrt(3))\/(sqrt(648)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(175) - (0 + (2*sqrt(175))**2))*6 - ((sqrt(175) - (sqrt(175) - (sqrt(175) + sqrt(175) + sqrt(175) + 1 + -1))) + 1 + sqrt(175) + 1)) + 3).\nAnswer: -40*sqrt(7) + 16796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134598 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133 and 11.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2240)\/(-25) + 4\/10. Let s be ((-8946)\/84)\/(2\/(-4)). Let u = -195 + s. What is the highest common divisor of y and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, a: 5, w: 1, n: 1}. What is prob of picking 1 a and 1 s?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1762 - -1759. Let z(i) = -i**3 - 5*i**2 - 5*i - 6. Let j be z(-4). Sort -1, j, b in decreasing order.\nAnswer: -1, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 3, d: 4}. Give prob of picking 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -14. Let b(a) = -a**2 + 8*a - 3. Let o be b(w). Let p = o + 1. Sort -0.2, -0.1, p in decreasing order.\nAnswer: -0.1, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5083702 - 2.39336. Let d = -485.115 - -485. Let p = g + d. What is p rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6343, 6379, 6473, 6655, 6955, 7403, 8029, 8863?\n\"Answer: 5*f**3 - f**2 + 4*f + 6335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/(-12)*(-25)\/((-600)\/(-16)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -655 (base 8) in base 14?\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -68. Let r be (3\/9)\/(1\/6). Let q be (-2)\/h + 0 + r. Solve 5*j + 43 = -z + 15, -j = q*z + 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82557 + -49093. What are the prime factors of j?\nAnswer: 2, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239 + 241. Let f be 3\/((1 - 0)*-1). Sort f, k, 1.\nAnswer: f, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 247 - 241 = -4*t, 4*t = 5*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.15 (b) -2 (c) -4 (d) 3\/11 (e) 180\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39603*b + 44295*b - 487968 = 0 for b.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 2.66 (c) -2 (d) -0.1 (e) -117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/5)\/(4\/(-10)). Suppose -z*m + 5 - 1 = 0. Let w = 1 - m. What is the nearest to w in 2, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 - 2. Let p = -0.0117 - 2.9883. What is the nearest to 1\/2 in p, r, -2, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 5443*b - 43628. Give v(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*((-72)\/(-112)*7)\/(126\/(-48)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 1, 4 in increasing order.\nAnswer: -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(3 + 10\/(-4)). Let y(l) = -l + 6. Let m be y(t). Is (-1 + 57\/6)*m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnn when three letters picked without replacement from nnywawwyyyynnny.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -77872, -77889, -77906, -77923, -77940, -77957?\n\"Answer: -17*c - 77855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 97186 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-70)*(-5)\/3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -15*u**3 + 295150*u**2 - 1452580480*u + 6772282720 = 0.\nAnswer: 14\/3, 9836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 - 6*f + 1. Suppose -10*s + 5*s + 55 = 0. Let c(h) be the first derivative of 5*h**3\/3 + 11*h**2\/2 - 2*h - 10. Calculate s*w(r) + 6*c(r).\nAnswer: -3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1.7. Let k = 52.9 + -53. Sort -4, k, m in ascending order.\nAnswer: -4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2 - 7026*c - 49035 = 0 for c.\nAnswer: -2335, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158603.7 meters to millimeters.\nAnswer: 158603700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1476 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213001110123 (base 4) to base 13.\nAnswer: 2171b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad - -7c35?\nAnswer: 7b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 106\/3*(-12)\/(-8). Let c = b - 31. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r*r**(2\/5)*r)))\/r**(-7))\/(r**(1\/6)*r*r*r**(-1\/11)\/r*r*r))**(-5\/18) assuming r is positive.\nAnswer: r**(-2087\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -66*g + 59. Let k(m) = -207*m + 177. What is -19*h(j) + 6*k(j)?\nAnswer: 12*j - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + a**2 + a. Let u(k) = k**3 + 4*k**2 + 5*k. Let l(y) = 4*y**2 + 5*y. Let g(d) = 5*l(d) - 4*u(d). Give -g(j) + 6*r(j).\nAnswer: -2*j**3 + 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.49, -566, 229 in descending order.\nAnswer: 229, 0.49, -0.05, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 278713.\nAnswer: 3901982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 392 = -4*r - 214, 615 = -5*k + 5*r. Let j = k - -125. Solve j*q + 4*p - 2 = 2*q, 0 = 5*q + 4*p + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -773*l + 773*l + 2 + 202*l**2.\nAnswer: 202*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 27076674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3 = 4*d, -2*d + 9 - 3 = 4*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llnllnlllllnlll. What is prob of sequence llnn?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + 4 + (13 + -25 - 14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 7:37 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 855, -3, -4 in increasing order.\nAnswer: -4, -3, 3, 855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 0.01, 0.05, -11\/6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddmd when four letters picked without replacement from {d: 9, m: 8, f: 2}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2*sqrt(143) + sqrt(143)) - 5*sqrt(143)*-1)\/(sqrt(539) + 2*sqrt(539)*2))**2.\nAnswer: 1053\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 - 3*o**2 + 7*o - 11\/3.\nAnswer: -(o - 1)**2*(o + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - t**2 - t**2 + (-10515 + 10515 - 255*t)*(t + t - t).\nAnswer: -254*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-6)\/(-27))\/((-20)\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n. Suppose -5*p = t + t - 41, n = -2*p + 3*t + 24. Suppose -75 = -4*x + p. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.18+848\nAnswer: 872.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 54, 76, 94, 108, 118?\n\"Answer: -2*x**2 + 32*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 267690 and 70176?\nAnswer: 3130902240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by (21\/(-14))\/(3\/(-38)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -391 - b?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:42 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.560306827 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 71*f**2 + 74*f - 136. What is j(72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 283 - 278.14. Let y = -1.41 + b. Let l = 0.35 + y. Round l to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q + 4. Let x be m(5). Suppose 5*j = d + 196, -x = -2*j - 0*d + 4*d. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4352983 is divided by 435285.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22430133010 - -4?\nAnswer: -22430133001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75.1 - -55. Let a = d - -20.099476. Round a to five decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 8 - 21 - b)*(-12 - 1 - 10) to k + x*b and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 + 2 - 2)*(20*j - 15*j - 14*j) - 2*j**2 + 14*j**3 + 2*j**2 in the form n*j + c + a*j**2 + l*j**3 and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 5. Let d(v) = -135*v - 8770. Calculate the remainder when a(6) is divided by d(-65).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**3 + r**3 - 4*r**3 + (-14 - 11*r + 14)*(-2*r**2 + 22*r**2 - 5*r**2) in the form i*r**2 + o + v*r + c*r**3 and give c.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 5. Suppose -c = -5*x + 13. Suppose 2221 = x*z + 105. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o + 1200 = 0. Suppose -100 = u - 2*u - q, -3*u + o = q. Calculate the remainder when u is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*f - 2, -f + 5 = -2*h - 14. Put -1, f, -3 in ascending order.\nAnswer: -3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*((-5*w + 2*w + 4*w)*(2 - 1 + 0) + 30 + 18*w - 30) + 1 - 1 - w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2185083\nAnswer: 4370166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41728?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**5\/120 - d**4\/24 - 3*d**3 + 13*d**2. Let f(z) be the first derivative of y(z). Calculate f(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -67. Let s = 9 + q. Let n = s - -20.0085. What is n rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2. Let n(q) = -q + 5. Let b be n(3). Let u(m) be the third derivative of 1\/8*m**4 + 0 + 0*m - 2*m**b + 0*m**3. Calculate u(s(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**6\/40 - z**5\/15 + z**4\/6 - z**2. Let i(d) be the first derivative of -d**3\/3 + d**2\/2 - 45. Give 4*i(c) - l(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -5)\/(0 + 2). Let j(c) = c + 16. Is 15 a factor of j(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 24 = 8*y. Let u be (16\/y)\/(8\/12). Let z(i) = -1. Let o(k) = k + 3. What is u*o(m) + 4*z(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66342 (base 8) to base 16.\nAnswer: 6ce2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**3 + 1810*n**2 - 55200*n + 36000.\nAnswer: -5*(n - 60)**2*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 28, -5, 8.\nAnswer: -5, 1\/3, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2\/9 + 3458548*s\/9 + 6917120\/3 = 0.\nAnswer: -6, 1729280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(11)*2 - sqrt(11) - sqrt(11)))*-6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 2690\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1) + (-10)\/(-5). Differentiate 6 - o + 2*z**2 - z**2 wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2*w - 4)*(2 + 1 - 4) - 3*w + 0*w + w)*(-6*w**3 - 2*w**3 + 2*w**3).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -2750954?\nAnswer: 2750959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035 (base 6) in base 3?\nAnswer: 121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 48160000 to the nearest one million.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1\/5 (c) -0.6 (d) 3126 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6617 - -6620. Put 0, 4, w, -3 in descending order.\nAnswer: 4, w, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47504002.\nAnswer: 2, 7, 13, 261011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 547. Let h = a + 474. What is the second biggest value in -5, 86, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6529 + 9240. Let i = -2708.709 + x. Let y = -2.3 + i. What is y rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 16\/9 (b) 6 (c) -7 (d) -2\/7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 64*h + 30*h + 27*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*b = 2, -4*x - x = -5*b - 10. Factor -6*l - 2*l**2 + x + 6*l**3 + 3 + 6*l**4 - 8*l**4.\nAnswer: -2*(l - 2)*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.926 - -0.074. Let l = -290 + 289.96. What is the second biggest value in 0, -2, l, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - j - 7*j + j = -j + 32, -3*j = -292*y - 566 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26248327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 85*t + 84. What is s(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20088.0000421 - -20088. Round c to six dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**3\/2 - 29*x**2\/2 + 528*x. Let n(r) = 4*r**2. Determine v(n(p)).\nAnswer: -12*p**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 19. Suppose 0 = -q*j + 4 + 4. Suppose 4*x = -j*p + 92, x - 5*p + 3 - 2 = 0. Calculate the remainder when 35 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + sqrt(9)\/sqrt(3))**2*6.\nAnswer: 60*sqrt(3) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/158?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2344, -4698, -7052?\n\"Answer: -2354*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172046239?\nAnswer: 17, 167, 60601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**8\/43680 - g**7\/16380 - 5*g**4\/12 + 2*g**3\/3 - g - 15. Let s(h) be the third derivative of z(h). Factor s(t).\nAnswer: 2*t**2*(t - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/5 - (-12)\/30. Let g(z) = -z**2 - 4*z + 12. Let i be g(-7). Let t = w - i. Which is the closest to 0? (a) t (b) -4\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/60*-3*1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 37*z**2 - 3063*z - 673. What is u(83)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -28. Calculate the lowest common multiple of 12 and 2\/5*25\/w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648 + 648 + 705*r - 779*r.\nAnswer: -74*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (8 + 0\/(-2))*(39 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25.81287 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -649\/760 - 2\/95. Let b = -27219 + 27218.3. Are o and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 - 1863*p**2 + 75030*p + 27544896 = 0.\nAnswer: -97, 174, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 26*a + 3 + (1 + 1 - 4)*(-3 + a + 3) - 156 - 23*a + 156 to w*a + j and give w.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**3 + 8*v**2 - 16*v - 16. What is k(-4)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*q = 58*q + 38. Solve 3*w - 5*h = 2, 5*w - q*h + 4 = -h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 14 = -v + 3*j, -8*j + 34 - 67 = 2*v + 41 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4*(-1)\/2)\/((-10)\/(-20)). Suppose -3*k = k + 3*b + 18, 20 = -2*k + f*b. Let q be 6\/(-3 + (-9)\/k). Put -6, q, 3 in decreasing order.\nAnswer: 3, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4*2\/8)\/((-1)\/3). Let q be (0 + o - 0) + -312. Is (12\/(-18))\/(6\/q) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**3\/3 - 43477*g. Let t = 2 - 3. Let q(f) = 1. Let u(i) = i - 4. Let r(o) = t*u(o) - 4*q(o). Calculate r(h(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5 + (-160)\/(-50). What is the units digit of (-6 - -9) + d + (593 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*p = 6*k - 6, -2*k - 3 = -p. Suppose k = r - 2*r + 11. Suppose -1 - r = -3*u. Calculate the least common multiple of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 3:54 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/2 - 8190*i**3 - 196663*i**2\/2 - 336021*i - 245880 = 0. What is i?\nAnswer: -6, -5, -1, 16392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58*d*y**3 - 1757*d*y**2 + d*y - 11*d - 12208845*y**3 wrt d?\nAnswer: -58*y**3 - 1757*y**2 + y - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 3:04 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, 6, 10, 14?\n\"Answer: 4*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/11 + 6652104*p\/11 + 5531310953352\/11 = 0. Calculate p.\nAnswer: -1663026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbyyzyt. Give prob of sequence zyb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23140 divided by 1780\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 42966?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*q, -q - 27*x + 22*x + 8 - 3 + 5 = -11*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107260 = 4414*m - 6144*m for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 120? (a) 0 (b) -3 (c) 3 (d) 2 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*m = 3*m + 25, 0 = -3*k + m + 50. What is the greatest common factor of k and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 857.8 and 1222328.4?\nAnswer: 1221470.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4861 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -0.4, 1, -3\/4 in descending order.\nAnswer: 48, 1, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4 + -2) + 231\/(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-3\/5))\/r)\/(r*r\/(r\/(r**4*r*r))))\/(r**(-1\/5))**26 assuming r is positive.\nAnswer: r**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468588501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -488 + 515. Calculate the remainder when 184 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 2, r: 5}. Give prob of sequence rs.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*t = -n - 483, 0 = -5*t - 20. What is the second derivative of -236*l + 2 + n*l - 236*l + 271*l**5 wrt l?\nAnswer: 5420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852 + 281571 = 5273*h - 276515 for h.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*f**3 + 70*f**3 + 72*f**3 - 205*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 12, v: 3, t: 3}. Give prob of sequence tlll.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqaaaqa. What is prob of sequence qq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**3 + 6*b**2 + 6*b - 75. Let m(u) = -u**2 - u + 1. Determine 6*m(a) + q(a).\nAnswer: 7*a**3 - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 588 - 618.9. Let j = -4.9 - t. Let w = 25.5 - j. Which is the second biggest value? (a) 0 (b) w (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 98*q**2 - 10*q - 99*q**2 - 3 - 3. Let w(u) = -u**3 + 3*u**2 - 4*u + 3. Let s be w(3). Let n be y(s). Solve n = -r - 0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 + 2 - 3 - 7*h**2 + 4*h**2.\nAnswer: 9*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (520\/(-6240))\/(310\/24*(-15)\/50)\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -45 - ((-30 - -132) + -55)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (265 - 265 - 54*t)*(t + 0*t + 0*t)*(17 + 1 + 4).\nAnswer: -1188*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2205543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 + 8*j**2 - 27 + 12 + (8 - 6 - 39)*(j + j + 0*j)*(-13*j + 0*j + 2*j).\nAnswer: 822*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351*(-15*(-5)\/(-405))\/((-20)\/24)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-504)*(-378)\/36)\/((-13)\/(-6))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 12:14 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485715770 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: How many minutes are there between 5:38 PM and 12:09 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*b*u**2 - 4*a*b*u - 7*a*u**2 + 59*a*u + 12*b*u**2 - 4*b*u + 3*b - 58*u**2 wrt u?\nAnswer: -4*a*b - 14*a + 24*b - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 - 146. Let w(z) be the second derivative of 0*z**3 - q*z + 0 - 1\/12*z**4 + 0*z**2 - 1\/20*z**5. Suppose w(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + -124?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, s: 4, g: 3}. What is prob of picking 2 f?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*o**2 + 2\/5*o - 3\/5.\nAnswer: (o - 1)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11196.1322 to the nearest one hundred.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 + ((-1456)\/420 - -3). Put -11, 0.3, z in increasing order.\nAnswer: -11, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138228 and 768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14, -30, -50, -74, -102, -134, -170?\n\"Answer: -2*h**2 - 10*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -65441?\nAnswer: 65434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 5, h: 5}. What is prob of sequence hks?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5\/111 (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*h - z - 175, 5*h = -2*z + 442. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*q + 8*q - 26200. Let o = q - 336. What is the greatest common factor of 33 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*y + y. Let x(q) = -q**3 - 7*q**2 - 9*q - 7. Calculate the least common multiple of y\/4*(-160)\/(-56) and x(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**2 - 8*d - 2. Let p be a(-8). Suppose -4*n - 60 = -p*n. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 12.3. Which is the biggest value? (a) j (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 4\/(-10) + (-8 - (-1458)\/45)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r**4 - 375*r**3 - 1263*r**2 + 7272*r - 5616 = 0. What is r?\nAnswer: -12, 1, 13\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7494, -161, 5.\nAnswer: -7494, -161, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/(f*f*f**19)*f**(-22)*f**(-9))**15 assuming f is positive.\nAnswer: f**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 82, 335, 754, 1339, 2090, 3007?\n\"Answer: 83*j**2 + 4*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 5*g + 4. Let b(u) = 6 - 3 + u**2 - 16*u + 20*u. Let n(l) = 6*b(l) - 5*k(l). Determine n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212599787893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 71663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3859865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - k - 4*k)*(62*k + 54*k - 158*k).\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 6, 4 in decreasing order.\nAnswer: 6, 4, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -4584299.\nAnswer: 32090093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**12\/f))\/f*(f\/f**18)\/f)**38 assuming f is positive.\nAnswer: f**(-1102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -421 and -3.\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(4\/5)*d)\/((d*d\/(((d**(-8\/13)*d*d)\/d)\/d))\/d))\/(d**(24\/11)*d*d\/(d**(-24\/7)\/d)) assuming d is positive.\nAnswer: d**(-45174\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 23 + 12. Suppose 0 = 4*c + 5*y - 1458, 0*c = -2*c + x*y + 744. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-20) - 1\/(-4). Let x be 4*(27\/(-12))\/3. Let m = 16 + -16.1. Which is the closest to m? (a) -4 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -12*r**2. Let t(i) be the second derivative of i**3\/3 - 99*i**2\/2 - 350*i. Calculate s(t(q)).\nAnswer: -48*q**2 + 4752*q - 117612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01577 minus 31?\nAnswer: -31.01577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-16)\/(-32)*(-29)\/(53998\/(-252))\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.252, 5, 6, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 24015?\nAnswer: 96060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6 - 3)*(2 - 1 + 1)*(-3*t**2 + 3*t**2 - 4*t**5).\nAnswer: -88*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 73254347 + 19104347. What is s rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from crjyc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 + 112. Suppose -3*x - 3 = 0, 3*j = -3*x - 2*x + 1. Let p(r) = 1 - 4*r**j + 2*r - 3*r + 5*r**2. Determine p(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.1 (b) 407 (c) 0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 612\/(-102)*1\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(2\/21)*v\/(v\/(v*v**(1\/38))) assuming v is positive.\nAnswer: v**(1693\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bcb + 9161?\nAnswer: a05c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 4*f + 2. Let i be 338\/(-39) + (-4)\/(-6). Let m(n) = -n**3 - 8*n**2 - n + 1. Let p be m(i). Suppose -26 - p = 7*z. Give g(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 107 + q**3 + 39*q**4 - 95 - 37*q**4 + q in the form a*q + j + w*q**3 + n*q**4 + d*q**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*s - 35*s - 96 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128217517 to the nearest integer?\nAnswer: 11323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2152\/17 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 128. Let q = 81.0000015 + k. Round q to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 3637.8 (c) 1 (d) -151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-57881)\/(-9))\/(9\/81) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/5, -3, -0.2, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -371 - -398. Let u = -23 + k. Solve -u*l - 7 = x, -2*x + 6*x = 3*l - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-817355)\/(-308) + (-9)\/12 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) - (-1014)\/21. Let u be m*(-5 + (1 - -1)). Let p be ((-2)\/3)\/(6\/u). Calculate the highest common divisor of 64 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 55.999984. Round p to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -17, -48, -93, -152, -225?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + x = -43, -40*j - 1718 + 1770 = -44*j + 4*x for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.009 in -2, 1136, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + b + b + (3*b - 2*b + b)*(1 + 0 - 4) - 2*b + 2*b + b - 4 + 3*b + 4 as g*b + p and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 0*y**4 - 9*y**4 + (y**3 - 2*y**3 + 2*y**3)*(7*y - 12*y + 11*y) - 3*y + 3*y - 2*y**4.\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*i**3 + 5*i**4 - 3*i**4 - 4*i**3 - 12*i**3 - 1 as s*i**2 + d*i + c + u*i**4 + m*i**3 and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 8. Let d be (4\/(-12))\/((-4)\/i). Suppose -8 = 5*u + 2. What is the second biggest value in 0.1, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1016472*l**5 + 129806*l + 2 wrt l.\nAnswer: 20329440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -3*h + 63, 4*h + 49 - 13 = -4*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -78, -79?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 (base 11) in base 7?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4674 + -4674. Suppose 2*u - 28 + 122 = 5*x, 3*u + 51 = 3*x. Suppose 129 + x = f - 4*m, g = -4*m + 4. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18310*h - 18361*h = -765 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 3*d**2 + d - 7. Let m be g(2). Let c be 4\/(14\/6 + m). What are the prime factors of (6 - (c - 0))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**3 - 82385*a**2 - 329600*a - 329620 = 0?\nAnswer: -2, 16481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*d + 30121, -4*z + 11*d + 120456 = 13*d. What is the ten thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602 divided by 267?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2626.15504 - 2626. What is v rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-87)\/(13\/((-1612)\/12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 3. Let c be b(0). Let n be ((-4)\/(-6))\/(10\/c). Let k(a) = a**2 + 6*a + 4. Let h be k(-4). What is the biggest value in h, n, 2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06291552 and -0.35?\nAnswer: -0.022020432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 32639*r**4\/6 + 7*r**3\/6 + 20*r**2 + 20*r + 3. Let a be b(-24). What is a rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 25*u - 29*u + 150, -4*a + 4*u + 84 = 0. What is the highest common divisor of a and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 v, and 1 k when three letters picked without replacement from {f: 1, v: 12, k: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) -23 (c) -0.45 (d) -5 (e) -0.3 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/248 and 89\/2046.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 66*x**2 - 98*x - 2506. Determine z(-33).\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**4 + 157*p + 494 with respect to p.\nAnswer: -8*p**3 + 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/5 - -11\/10. What is the second smallest value in -3\/2, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 5, -0.16 in ascending order.\nAnswer: -81, -0.16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -34. Suppose -r - 10 = -3*r. Let n = r + -2. What is the greatest common factor of t and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Calculate the highest common divisor of 36 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 - -122.025. Let h = 0.02501637 - c. Round h to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i - 2. Let m(w) = -w + 1. Let g(z) = m(z) - x(z). Let a(v) = 14*v + 9. Give -3*a(y) + 8*g(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3563, -3589, -3613, -3635, -3655, -3673?\n\"Answer: h**2 - 29*h - 3535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*d*w**4 + d*w**2 - 384325*d + 23620*w**4 wrt w?\nAnswer: 360*d*w + 566880*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.582317 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 38*j**2 - 36*j**2 - j + 3*j. Let x(y) = 2358*y. Calculate x(u(h)).\nAnswer: 4716*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4)\/o)**31\/((o\/(o**(1\/10)\/o*o))\/o)**(-8) assuming o is positive.\nAnswer: o**(-171\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 18*s = -6. Let m(h) be the third derivative of -3*h**4\/8 - 5*h**3\/6 + h**2. Does 13 divide m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*5.11\nAnswer: -25.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5119\/210 - -388\/21. Suppose -c + 251 = -a, -18*c = -22*c + a + 1001. Find the common denominator of c\/96*(-2)\/3 and s.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3647885529 to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4361841814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10026246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18 and -0.036?\nAnswer: 17.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -411*q**3 - 9*q**2 + 6*q + 121. List the prime factors of t(-5).\nAnswer: 51241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 80.6\nAnswer: 6.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/2)*(-5)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Suppose 2*w - 5*q - 9 = 0, 3*q + q + 10 = s*w. Solve -m - w = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*h**3 + 29*h**3 - 22*h**3)*(-2*h - h + 5*h) + 2*h**4 + 4*h**4 - 4*h**4.\nAnswer: 92*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 24*o + 720 = 0. Let y be (-40)\/6*o\/(-120). Suppose -5*t - 5*s - 5 = 5, 0 = 3*t - 2*s - 19. Solve y = 5*w - t*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 10:24 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -31440856 at most -31440853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*j - 2*j. Let y = -3 - -8. Suppose j*u + 0*u + 40 = y*h, 2*h + 4*u = -8. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 0*t**2 - 1 + 0*t - 2\/3*t**3. Let j(h) = 0*h**2 + 2*h**2 - 6*h**2 + 3*h**2. Give g(j(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itiiiittiiii. What is prob of picking 2 i?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -77*u - 39. What is k(-1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*a + 29 - 15 = 0, -m - 9 = -3*a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*z + 8*z - 5455 + 5518 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(-15))\/x)\/x*x)\/x*x)**(2\/11)\/(x**(-2\/69)*x\/(x**(-2\/19)*x)) assuming x is positive.\nAnswer: x**(38230\/14421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 71 - -127 - (-1)\/((-1)\/2). Let z = -126 + s. Calculate the lowest common multiple of z and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 9:24 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from lelllee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 41 - 45 = 0, -3*b = -k - 8. Solve 0 = -3*x - k*a + 4, 0 = -3*x - 0*a + a - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14208515 is divided by 2852?\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4 - 2 = -4*x, 0 = -5*x - 5. Suppose 54 = b*l - 5*y, 3*y = l + 2*l - 63. Let n = 21 - l. What is the smallest common multiple of n and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8588710?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a = 16*a - 8 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 34.1. Let z = g - 34. Which is the nearest to -2\/9? (a) 1\/7 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 + 149*u + 259. Calculate the remainder when 11730 is divided by r(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 - 142 - (1 + -5 + -1) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5849443, 5849442, 5849441, 5849440, 5849439, 5849438?\nAnswer: 5849437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*n = -86, 28*n = 2*b + 31*n - 49. Suppose -3*v + 40 = 2*u - 7*v, 46 = 2*u - v. Calculate the highest common factor of b and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(3 + 10\/(-5))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + 24. Suppose -w = -5*w + g. What is the lowest common multiple of (-9)\/(-12) - (-2035)\/220 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4770*i. Let j(d) = -1598*d. Let y(o) = 6*g(o) + 17*j(o). Let q(f) = -2*f. What is y(q(x))?\nAnswer: -2908*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*i = 1236, -6*i + 8*i = 5*n - 1522. Let x = -306 + n. Solve 2*j + x*j - 6 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 156 = 64 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262690 is divided by 1377.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(144) - sqrt(36)) + sqrt(36))\/(sqrt(72)\/sqrt(54))*4 + 2 + ((-3*sqrt(9))\/sqrt(3) - (0 + sqrt(3) + -1)).\nAnswer: -100*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111101111101110001 (base 2) to base 11.\nAnswer: -491661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*s - 2*z, 4*s + 6*z + 12 = 5*z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 + 5*m**2 + 3*m + 7. Let g(p) = -7*p**3 - 10*p**2 - 7*p - 15. Let a(l) = -5*b(l) - 2*g(l). Let k(j) = -j**3 - j**2 - 1. Give -a(u) + 5*k(u).\nAnswer: u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37497043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138802523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (sqrt(72)\/(3*sqrt(4)))\/sqrt(9))**2*1 + 0.\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 4*t - 9. Let l = 5 - t. Find the third derivative of -l*i**2 + 6*i**6 - 18*i**6 - 2*i**2 wrt i.\nAnswer: -1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -334 + 669. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-38 - (23 + -67)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2. Let g(x) = -448*x**2 - 3*x - 21. Let j(z) = 2240*z**2 + 14*z + 98. Let m(a) = 14*g(a) + 3*j(a). Determine m(o(t)).\nAnswer: 7168*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 19811 = 4*h, 24770 = 5*h - 6*v + 11*v. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: What is the second smallest value in -0.0409, -0.2, 43?\nAnswer: -0.0409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 17396120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 + -32.9. Let u = -35.99956 - r. Round u to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 15.2?\nAnswer: 273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -806*a**3 - 266*a**2 + 18*a + 9. Let c(g) = 812*g**3 + 265*g**2 - 16*g - 8. Let r(d) = -9*c(d) - 8*t(d). What is the third derivative of r(s) wrt s?\nAnswer: -5160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12*v**2 - 2. Let l(t) be the second derivative of -t**7\/630 + 7*t**4 - 22*t. Let c(y) be the third derivative of l(y). Calculate w(c(g)).\nAnswer: 192*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 5*w + 9*w**3 + 6*w - 2*w**3 + 0*w**3 + 3*w**3 + (4*w - 3*w - 2*w)*(0*w**2 + 5*w**2 - w**2).\nAnswer: 7*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = -5*q - f, 2*f = -q - 1. Calculate the least common multiple of q and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8348*j**3 + 362 - 362 + 1149*j**3.\nAnswer: 9497*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 5*d**2 - 7*d - 6. Let l be f(-4). Suppose 7*c + l = 10*c. Suppose 0 = -4*i - 0*k + c*k + 146, -k - 5 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 752 + -755. Which is the nearest to 1\/4? (a) f (b) -2\/15 (c) 1\/7 (d) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - 18 = -q, 0 = 2*q - 2*c - 60. Let l = q - 14. Is (l\/16)\/(1\/28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -127*m**3 - 11*m**2 - 11*m. Let g(c) = 42*c**3 + 4*c**2 + 4*c. Determine 11*g(f) + 4*q(f).\nAnswer: -46*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1670826 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 49*t**5 - 7*t**3 + 10*t - 33. Let r(k) = -50*k**5 + 6*k**3 - 9*k + 31. Let n(l) = -6*o(l) - 7*r(l). What is the second derivative of n(q) wrt q?\nAnswer: 1120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/x**(-19)))\/x**(-31) assuming x is positive.\nAnswer: x**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5\/11 + 9404*f**4\/11 + 169714*f**3\/11 + 971924*f**2\/11 + 1868896*f\/11 + 1057280\/11 = 0.\nAnswer: -8, -7, -2, -1, 4720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 7*d + 21. Let z = -1602 + 1611. Determine o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = 4*w + 36, -w + 24 = 2*l. Suppose 6 + 2 = 4*c. Let p = c + 2. Calculate the remainder when l is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/2 (b) 4.6 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -19\/5, -64, -1.1?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 729 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 712 = -3*f + 733, -2*w - 3*f = 21 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let t(q) = -41*q - 11. Let b(r) = 8*r + 2. Let n(i) = -33*b(i) - 6*t(i). Calculate y(n(w)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8*9*24\/(-9). Let k(t) = -210*t + 301. What is the thousands digit of k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*d + 9 - 9)*(1561 + 46*d - 1561) to the form o*d**2 + f + v*d and give o.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(78) + (sqrt(78) - -4*(sqrt(78) + 1*sqrt(78))))\/(sqrt(24)*2*4).\nAnswer: 3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2054 or 2051?\nAnswer: 2051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3\/6 - b. Let m(i) = -i + 2. Let s be m(-2). Determine t(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17525.\nAnswer: 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3078*b**3*r**2 + 34177*b**3 - 7*r**2 with respect to r.\nAnswer: -6156*b**3*r - 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45951.\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 639.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*i - 54 = 522*i + 130 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = -m, 0*w + 5*m = -5*w. Let a be (0 - 1)\/(w\/(-15)). Solve u + 0 - a = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001011001010 (base 2) to base 4\nAnswer: 1023022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 11*g - 8. List the prime factors of x(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*x**4*z - 2*x**2*z + x**2 + x + 4359*z with respect to x.\nAnswer: -180*x**3*z - 4*x*z + 2*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007270164 rounded to six decimal places?\nAnswer: -0.000727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12549990 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1875*o**3 - 54*o**2 - 1873*o**3 + 43 + 54*o**2 - 83 + 40.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 13 + 1 = 0. Suppose -o - h + 5 = 0. Suppose -2 = 9*n - 29. Solve -2*z = -n*z + o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -184*s + 2. Let t(i) = -739*i + 10. What is -9*g(o) + 2*t(o)?\nAnswer: 178*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 132*r**3 + 474*r**2 + 1352*r + 744.\nAnswer: 2*(r - 62)*(r - 6)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1100011000100010011010111110?\nAnswer: -1100011000100010011010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, 5, -12.\nAnswer: -12, -4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 - 75*h + 75. Suppose 0 = 4*z - g, 28*z + 7 = 31*z + g. What is w(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -205\/4. Let z = 1.1 - 1. What is the closest to z in f, -3\/2, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9*(-1 + -1 - (-4828)\/(-51)). Suppose a - 184 = 14*x. Does 47 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**4 - n - 1. Let q(x) = -14*x**5 - 10*x**4 - 20*x - 10. Let o(w) = 20*l(w) - 2*q(w). What is the second derivative of o(m) wrt m?\nAnswer: 560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -67110?\nAnswer: -268440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 250582 or 250583?\nAnswer: 250583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 40. Calculate the least common multiple of z and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 3, o: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 321507160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - (4 + -3)) + -10. Let t be (12 - z)*((-196)\/3)\/2. Calculate the least common multiple of (-1)\/4*t\/21 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 12*q - 8. Let z be (20\/25)\/((-4)\/50). Determine u(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29\/16 (b) 10\/3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140147 (base 8) to base 5.\nAnswer: 3034010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, g: 7, w: 3}. Give prob of picking 3 g.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3579 + -3518. Solve -11 - z = 18*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14000311*p**4 - 10386719*p**2?\nAnswer: 336007464*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 461*l - 20. List the prime factors of g(14).\nAnswer: 2, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 8*k**2 - 7*k - 5. Let d be p(7). Let x be (-1)\/d*80\/8. Suppose 5*l + 42 - 67 = 0. Solve l*b + x = 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a**2 - a + 1. Let q be u(1). What is the third derivative of 84*p**2 + 6*p**4 - 41*p**2 - 42*p**q wrt p?\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14648 - 11624. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -19?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 3*i + 2. Suppose -h = 5*n - 12, -2*h = 4*n + 1 - 7. Let a be b(n). Let p be -4*(a + 0)\/(-44). What is the closest to 0 in -0.2, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -133. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-7)*a**7*a**(-1\/9)*a*a*a\/((a**(-1\/13)\/a)\/a))**(1\/31) assuming a is positive.\nAnswer: a**(2336\/3627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r - 13. Let q = -16 - r. Let o = q + 10. Which is the third biggest value? (a) 1 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100221111201 (base 3) to base 12\nAnswer: 9533a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -57701?\nAnswer: -57686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-63) + (-452018)\/(-9). Suppose 5*n + m = -2*m - g, 5*m = 3*n + 30114. Let c = n + 5043. What is c rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.3. Let p be 80\/400*(-4)\/(-3)*(-3)\/2. Which is the closest to -2\/5? (a) x (b) 1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 445737.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a meter?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60504?\nAnswer: 2, 3, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a factor of 45700496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 2*n + 124, 0 = 5*q + 4*n - 146003. What are the prime factors of q?\nAnswer: 5, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*l = -0*d + 46318045, -7*d + 162113009 = l. What is d rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - j - 83 = 2*q - 27, -3*j + 40 = -2*q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1638 and 1638.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m**(-1\/3)*m))**(2\/33)\/(m**(-2\/7))**(29\/2))**50 assuming m is positive.\nAnswer: m**(148450\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 875 + 2304. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1106064 divided by -13.\nAnswer: -1106064\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:34 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69036260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by -9*(28\/12 - 5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/312480 and -71\/4320.\nAnswer: 937440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-12) - 1*3\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72484462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h**2 - 12*h - 47. Let y(w) = 2*w**2 + 4*w + 1. Let u(t) = -k(t) - 3*y(t). Let v(d) = -5*d**2. Determine v(u(b)).\nAnswer: -45*b**4 - 1320*b**2 - 9680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-36))\/(5\/4) + 6\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45746 (base 10) in base 16?\nAnswer: -b2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 2*h + 2. Let o be d(2). Let w = o + -9. Suppose 2*v - 5*b = 204, -v + 91 = -b - w. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 981 and -9386163.\nAnswer: -9385182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(76)*-3 - 3*sqrt(76)*2)\/(-4*sqrt(576)*-1*6).\nAnswer: -7*sqrt(19)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -5. Let t = f - -2.2. Let p = -0.7 + 0.5. Which is the smallest value? (a) 2\/15 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257538960 divided by -3219237.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -420, -8, -24, -5, 71, -3 in ascending order.\nAnswer: -420, -24, -8, -5, -3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 4 (b) 65 (c) 0 (d) -4\/7 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-220)\/(-264))\/((-1)\/(-6)). Let k(v) = -3*v**3 - 3*v**2 - 2*v - 4. Let z(u) = 4*u**3 + 4*u**2 + 2*u + 5. Determine a*k(i) + 4*z(i).\nAnswer: i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b + 76 - b - 40 - 32 - 3*b**2. Suppose -q = -2*f + 16, 4*q - 4 = -12. Let y(t) = -4*t**2 + 4*t + 6. What is f*w(o) - 5*y(o)?\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3. Let a be 1\/(-1) - -9 - (-1160)\/(-174). What is the closest to -1\/6 in a, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6688\/25 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*i + 4*l, -4*l + 53 = 5*i - 0*l. Calculate the highest common divisor of i and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 224 + v - 224.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18920 is divided by 6302?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.878579 to two dps.\nAnswer: -13.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**9\/504 - b**8\/48 - b**7\/2 - b**5\/30 - 19*b**4\/24 + b**3\/2 - 9260*b**2. What is the third derivative of l(r) wrt r?\nAnswer: -120*r**3 - 420*r**2 - 2520*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(1\/(1\/(-1))). Suppose 4621 = -41*u - 1775. Let b be (u\/16)\/(15\/(-20)). Solve -t*m + 7 = -b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 4. Let n be g(5). Let c(u) = u**3 + 7*u**2 + 6*u - 3. Calculate c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) 0.622 (c) 5\/14 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 106, -2, -11, -323.\nAnswer: -323, -11, -3, -2, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**4 - 2*v**4 - 5*v**4)*(-2 - 2 + 5) + 104*v**3 + 159*v**4 - 104*v**3 + 202*v**4.\nAnswer: 358*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54718903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 34*b + 7. Let l(z) = z. Let j be l(17). Let m be w(j). What is the remainder when 31 is divided by (-24)\/56 + 143\/m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -7, -2\/5, 4, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 7*q - 120, -28*d + 24*d + 4*q = -144. Calculate the remainder when 261 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3150911226?\nAnswer: 2, 3, 525151871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4357867531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7000582?\nAnswer: 2, 107, 32713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6279*d - 6307*d + 504. Solve 5*a - b + 49 - d = 0, 39 = -5*a - b for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/3 + (-2)\/(-3). Let x = 4 - 3. Let y = x - -2. Solve h*u = y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.562 - -5.462. Sort 1\/12, o, 3\/5 in descending order.\nAnswer: o, 3\/5, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20057149340 + -0.0663.\nAnswer: 20057149339.9337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/3 + 20*g**2\/3 + 2*g\/3 - 20\/3 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 34*f**2 + 3*f. Let l be 0\/(-3) - (-2)\/1. Suppose 4 = l*i - 16. What is the remainder when x(1) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + 20*k + 8. Let v be u(7). Suppose 5*x + v = 11. Solve 0 = 3*a + a + b + 11, 4*b = -x*a + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - b**2 + 0)*(-2736 - 10*b**3 + 2741 + 61*b**3).\nAnswer: -51*b**5 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6019, 6002, 5983, 5962?\n\"Answer: -r**2 - 14*r + 6034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.44 * -0.420416.\nAnswer: -0.60539904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 29 = 1. Let q = v + -6. Suppose 2*h = -4*h + q. Solve 2 = h*s - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -45. Suppose 0 = 2*r + g*b - 513, -r + 9*b = 4*b - 263. Suppose 0 = -19*a + 17*a + r. What is the remainder when a is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5846 + -33.7946. Let s = r - -0.21. Let g = 33 + s. Which is smaller: -20 or g?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25.017? (a) -0.4 (b) 1\/4 (c) 3\/76 (d) 0.1 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -424339102\/5 less than or equal to -84867820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 7*t - t)*(2*t - 2 + 2 + (2 - 2 + t + (-1 - 2 + 2)*(-2*t - t + 5*t) - 3*t - 2*t + 3*t + 2*t + 0*t - 4*t + 2*t - 4*t + 4*t)*(-2 + 0 + 6)).\nAnswer: 70*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 8 = 3*g - 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594482045.\nAnswer: 5, 137, 867857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 3*k**2 - k - 1. Let a be (-2)\/2 - 3*-1. Let c be i(a). Suppose 0 = x + c - 2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52.8 + -66. Let u = t + 13. Let l = 378 + -383. Which is the fourth biggest value? (a) u (b) -2 (c) l (d) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18956798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 13*j**2 - 26*j + 28. Give n(7).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/(-483))\/(16\/(-14))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -4*j - 4*v, -5*j - 7 = -v. Let f = -14 + 17. Let y = 77 + -77. Put j, y, f in ascending order.\nAnswer: j, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 591 - 3. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.543 + -0.043. Let k = 21 - o. What is the closest to -1 in 4\/7, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 2*x**2 - 2*x**2)*(2*x**2 - x**2 + 2*x**2) + 6*x**4 - 5*x**4 - 8*x**4 + 0*x + 0*x + 2*x**4 + (-2*x - 2*x + 2*x)*(-2*x**3 - x**3 + x**3).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/861 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c**2 + 3. Let p(w) = -1. What is -k(d) - 4*p(d)?\nAnswer: 9*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 2:49 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*i - 25 = 0, -i = -v - 2*i + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 232*z - 336*z + 1 + 92*z. What is t(4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -573, 2, -5, -8, 4, 12.\nAnswer: -573, -8, -5, -1, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9604.9 * -0.4\nAnswer: 3841.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 720657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -10. Let u = 26 - p. Solve 10*j + u = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 6 + r**3 - 3*r**3 + 19 to l*r**2 + b + t*r + s*r**3 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 94532 to the power of 1\/2, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, -1152, -3137, -5926, -9525, -13940, -19177, -25242?\nAnswer: -32141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-16))\/(3\/6). Sort 6, -3, i.\nAnswer: -3, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 - 1570\/(-110))*2\/8. Which is smaller: i or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 - 132 = -9*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (-9)\/6. Suppose -4*x - 4*f + 165 = -75, 4*x + p*f - 244 = 0. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 34*c**2 + 2. Let g(b) = 3*b**2 + 2*b + 6. Let i(o) = 5*o**2 + 5*o + 15. Let p(w) = 5*g(w) - 2*i(w). Give p(x(t)).\nAnswer: 5780*t**4 + 680*t**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 83\/31 (b) 0 (c) -60280 (d) -0.5 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Let t(z) = -23*z + 96. Let g(m) = t(m) + 6*w(m). What is the tens digit of g(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5*(-10)\/(-20). Which is the nearest to 4\/3? (a) -2 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 468321120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -180, 5, -74 in ascending order.\nAnswer: -180, -74, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - (-5 - -3) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3 (c) 0.2 (d) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, q: 3, i: 4, v: 4, s: 3}. What is prob of picking 1 q, 1 s, 1 v, and 1 a?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.024 - 82\nAnswer: -81.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide ((846\/4)\/(-3))\/((-15)\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12768 and 264?\nAnswer: 140448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 4*v - 1. Let o be g(5). Suppose 3*i - 12 = 0, -a - 3*i = -o*i - 12. Suppose -h + 3 = t - 1, -2*t = -h + a. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 5.\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49140 by 12.\nAnswer: -4095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.806 - 0.081. Let t = w - 0.113. Suppose -5*h + h + 3*o + 29 = 0, 0 = 2*h - 5*o - 25. Which is the second smallest value? (a) t (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5\/5 + 1973*v**4\/5 - 5855*v**3 - 37277*v**2 + 734516*v\/5 - 520828\/5 = 0.\nAnswer: -7, 1, 2, 19, 1958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1 + 31168\/84. Let w = p - 1132\/3. Calculate the common denominator of w and 2 + 92\/18 + -1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**1)**(-24)\/((x\/x**5)\/(x\/x**(8\/5))))**49)**35 assuming x is positive.\nAnswer: x**5831","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270203*c**2*x**4 - 5*c**2*x**2 - 3*c**2 - 2*c*x**4 + 4*c*x**2 + 3830*c wrt x.\nAnswer: -6484872*c**2*x - 48*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2741)\/(12\/90 - 8\/24).\nAnswer: 5, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h**5 + 10*h**4\/3 + 28*h**3\/3 - 10*h**2\/3 - 4*h\/3 = 0. Calculate h.\nAnswer: -1, -1\/4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6020 = -2*m + 6*m + 2*y, 3*m + y = 4518. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k - 3*k - 113*k**3 - 22*k**2 + 27*k**2 wrt k.\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 183298.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11*l - 1182. Give a(103).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 539.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222122 - 1?\nAnswer: 10222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14586)\/132*9736\/(-26).\nAnswer: 2, 17, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36020*h**5 - 2*h**4 + 2117*h + 13 wrt h?\nAnswer: -720400*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/20 and 99\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6732482 and -97\/6418?\nAnswer: 6732482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -7. Suppose d - 1 = 10. Solve -3*q + d = 2*q - 2*a, -w = 2*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Let d = -2.56 - 0.44. Which is the nearest to -0.1? (a) l (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -25*f**2. Let n(p) = 6*p**2 + 2*p + 46. Determine n(i(h)).\nAnswer: 3750*h**4 - 50*h**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17\/3 - -110\/21. Let q = -50 + 449\/9. What is the nearest to q in -0.3, b, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2. Suppose 2*f + 16 - 38 = 0. Let y(z) = f*z - 11*z + 2*z**2. Let x(r) = -5*p(r) - 9*y(r). Let s(t) = -t**2. What is x(s(q))?\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 11*s**2 + 5*s - 16. Suppose -22*z - 182 = -210 - 236. Determine l(z).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/3)\/((-4)\/12). Suppose 38 = 5*q - h. Let o(m) = 41*m**2 - 1. What is the remainder when o(1) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 33*x + 33. Let i(a) = -2*a - 2. Let s(y) = 15*i(y) + n(y). Let c = 0 + -3. Calculate s(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((-2277)\/(-44))*1*-3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 + 2*z**4 - 3*z**4)*(-146 + 305 - 2*z - 146).\nAnswer: -4*z**5 + 26*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by -33.\nAnswer: 113\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-14)\/(-4)*-2. Let n be (-2374)\/p - 4\/(-16). Suppose 201 = h - 5*o - 81, -h + n = -2*o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let m(l) be the second derivative of -1\/2*l**3 + 0 + 0*l**2 + 3*l. Calculate c(m(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 116. Suppose -251 = -2*a + u. What is a rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 2) + -2 + -1. Let k(g) = 6*g**3 + 7*g**2 + 7*g + 7. Let r(d) = 4*d**3 + 5*d**2 + 5*d + 5. What is c*r(a) + 5*k(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1681 + 1035 - 23298 = -502*a for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 97 - 512. Suppose 0 = 2*k - 3*z - n, -2*k + 6 = z - 73. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5139.64 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v. Let f = -5 + 6. Let g(q) = 3*q**2 - q - 1. Let z(n) = n + 1. Let r(a) = f*z(a) + g(a). Calculate r(s(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -311 and 1.9.\nAnswer: -309.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -96132 (base 10) to base 15\nAnswer: -1d73c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*j**2 + j**2 - 2*j + 2*j + j**2 + 3*j**2 - 6*j**2 + (6*j - 3*j - 2*j)*(-2*j + 2*j - 2*j) - 5*j**2 + 2*j**2 + 2*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 8*h**2 + 444. Let d(c) = c**2 + 6*c. Let i(k) = k**2 + 5*k. Let v(z) = -5*d(z) + 6*i(z). Determine v(l(o)).\nAnswer: 256*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428342 is divided by 5422.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/55)\/(1\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -0.2 (c) 5\/3 (d) -0.3 (e) -2\/775 (f) -18 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {h: 3, x: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(117) - (sqrt(117) + sqrt(117) + sqrt(117)*4 + sqrt(117))))\/(sqrt(54)\/(sqrt(48)\/sqrt(8))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -2\/3, -14, 0 in descending order.\nAnswer: 55, 0, -2\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/417753 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*f + 5 - 5. Let x = 22 + -12. Suppose -11*z + x*z + 21 = f. Is z at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7497090 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 14*f**3 - 2*f**2 + 2*f - 1. Let t be l(1). Let o be 3 + (t - 0) + -1. Suppose 5*c = z - 4*z - 22, -2*c = -5*z + o. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 23*z**2 - 384*z + 124. Let l(a) = 13*a**2 - 219*a + 71. Determine -9*g(q) + 16*l(q).\nAnswer: q**2 - 48*q + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 6:05 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -106*i - i**2 - 41*i - 4 + 142*i. Let j be 72\/10*20\/8. Let q = j - 21. Calculate s(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.17, -1.86, -20.9?\nAnswer: -20.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 4. Determine z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 174131640 to the power of 1\/2, to the nearest integer?\nAnswer: 13196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**7*y))\/y**(-1\/3))**(2\/7)\/(y**(-1\/10)\/(y\/(y\/(y*y*y**(3\/4))))*((y\/((y\/(((y\/(y**(2\/3)\/y))\/y*y)\/y))\/y)*y)\/y)**(-3\/10)) assuming y is positive.\nAnswer: y**(113\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*((sqrt(637) + sqrt(637) + 1 - sqrt(637)) + -3) + -3)**2 + 1)*-4.\nAnswer: -13244 + 1400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26481 + 26486. Let y be 4\/10 + (-36)\/(-10). Solve 0 = -w*b + 6*b - y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l**3 - 4*l**2 + 4*l + 4. Suppose -z + 4 = k + k, 2*z = 4. Let c(t) = -t**3 - t**2 + t + 1. Give k*s(p) - 4*c(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 15 - 29 + 11 - 61*v + 9 in the form q + i*v and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 231 + 5?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2472 - 675 = -3*x. Suppose x = 9*i - 625. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:29 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46749 and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - 9*t**3 + 8818 - 8818 to the form r + g*t**2 + j*t + d*t**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {k: 2, o: 1, p: 2, v: 2, e: 4, x: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67724 is divided by 32740?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/24000 and 139\/295200.\nAnswer: 2952000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -55*b**3 - 151*b**2 - 2. Let p(y) = 218*y**3 + 605*y**2 + 9. Let n(x) = 9*l(x) + 2*p(x). What is the third derivative of n(m) wrt m?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*h = 2*h + 90, -2*w = -4*h - 70. Let i = w + 33. Suppose -7*s = -6*s - i. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 89 + -8 + (-2 - -4)\/(-2). Suppose 4*m - p = -0*m. Find l, given that 63*l**2 - 21*l**2 + 16*l - m*l**2 - 18*l**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(133)*-3 - sqrt(133))\/sqrt(7))**2 + (sqrt(114)\/(sqrt(24)\/sqrt(4)) - 1*sqrt(171)).\nAnswer: -42*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 m when three letters picked without replacement from {s: 1, m: 1, i: 1, y: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:05 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -394373520 + 272561120. Let k = 121812356.0000312 + i. Let v = 44 + k. Round v to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4989 - -5079. Solve -46*h + 16*h = p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njnbnvjnjncac. What is prob of sequence jb?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -140288 divided by -2?\nAnswer: 70144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*n = -15, 0 = -4*v + n - 5*n + 20. Suppose -z = -v*z + 1. Let k = z - -4. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/(-88) - (-87255)\/77.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -121, -287, -529, -853, -1265, -1771?\n\"Answer: -y**3 - 29*y**2 - 2*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 694289983 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539106?\nAnswer: 2, 769553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(3072) - sqrt(48)*-3*1))**2.\nAnswer: -152*sqrt(3) + 17329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971045?\nAnswer: 5, 157, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 44, 63, 80?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 110669.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03147 - -36.03147. What is the nearest to -1 in -4, -3, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18847780 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -14) + 2 + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 = -8*c + 355 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9763019 centuries in millennia?\nAnswer: 0.09763019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 15216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let m(l) = -l. Let u(z) be the first derivative of 2*z**2 + 1. Suppose -6*c + 16 - 4 = 0. What is c*m(x) + k*u(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 257*d**7\/21 + 3*d**5\/20 - 1003*d**3\/6 + 624*d. Find the second derivative of f(m) wrt m.\nAnswer: 10280*m**3 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5\/6 - 20*r**4 - 713*r**3 - 18868*r**2\/3 + 14045*r\/2 = 0?\nAnswer: -53, -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/7 - 6*m**2 - 50*m\/7 + 36\/7.\nAnswer: -2*(m + 2)*(m + 9)*(2*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11063 and 6475?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1607, 4, 5.\nAnswer: 4, 5, 1607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12752021.\nAnswer: 19, 671159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (17\/(-5) - -3) + 804\/(-360) and -59\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2665 - -0.183. Let v = -0.0044 + q. Round v to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49655363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - 3*(-584)\/6. Let q be -2 - (-513 - 2) - -2. Let o = q - i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 13*o - 454. Suppose 4*m - o = 96. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 15, 1.08, -0.1, 0.6, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 190243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -22. Let h = j - -9. Let t(q) = -q**2 + 5*q - 3. What is the units digit of t(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 5:19 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466650165?\nAnswer: 3, 5, 19, 29, 131, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.11 (b) -37750 (c) 34 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*c - 30*c - 24, -4*z + 0*c + 16 = 4*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2621 + 2?\nAnswer: 2623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1050 divided by -7.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -28, 1 in decreasing order.\nAnswer: 1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 25393740*p - 53736835932300.\nAnswer: -3*(p - 4232290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 27*q - 175. Let l(b) = -55*b + 349. Let z(a) = 9*c(a) + 4*l(a). Let x be z(8). Solve -n - x = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 49.8. What is the second biggest value in -0.08, s, 0.006?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 160500.\nAnswer: 3049500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 (base 4) in base 16?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267 + 286. Suppose 0 = -t*p + 50*p + 12121000. What is p rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.506 - -0.314. Let d = 2.69 - n. Which is the nearest to 0.1? (a) d (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.4 - -6.4. Let s = 21 - d. Let p = s - 0.2. Put 1\/4, p, 5 in ascending order.\nAnswer: p, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) -4 (c) -0.08 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (273\/15)\/(3899\/2785)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or 0.48317?\nAnswer: 0.48317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 49*g**3\/6 - 2*g. Let i(a) be the second derivative of 0*a**2 + 5 + 1\/12*a**4 - 8*a + 0*a**3. Give u(i(l)).\nAnswer: 49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -1 + 12 + -13. Let c be ((12\/1)\/k)\/(4\/(-14)). What is the units digit of c - -20 - 12*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -8. Solve l**2 + 3*l**2 - 4*l - o*l**4 + 2*l + 3*l**5 - l**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -17*u + 154. Let t be d(9). Solve -8*j + t = -31 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 31, -2 in descending order.\nAnswer: 31, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 20*j + 13. Let t be m(-14). Suppose 5*a - t = -142. Let x(g) = -g**3 - 10*g**2 - 9*g + 5. Calculate x(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 + 120 + -128 + -66?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.45 in 1\/4, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/16837, 4\/5, -24.3.\nAnswer: -24.3, 18\/16837, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -283*s**2 - 13*s - 7. Let w(h) = 190*h**2 + 9*h + 5. Let p(q) = -5*g(q) - 7*w(q). Let r(i) = 7*i**2. Calculate p(r(u)).\nAnswer: 4165*u**4 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -5) + (-4 + 2 - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -41, -5, 53, 139, 259, 419, 625?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from baqbqbbbaqqqbqb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 l when three letters picked without replacement from mqglglxplpmggqplllq.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 1. Suppose 0 = -6*l + l - 15. Let j = -87 + 80. Let b(z) = -z + 1. Let m(k) = j*b(k) + l*w(k). Calculate m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(1 - 2) - (14 + (-3591)\/273). What is the fifth biggest value in -2, -1.4, 0.3, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 29265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 2 + 4)*(-27 + 17*l**2 + 356*l**2 + 62 - 35) in the form n + i*l + z*l**2 and give z.\nAnswer: 5968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s**2 - 4*s + 1. Let u(g) = -20*g**2 + 9*g - 2. Calculate -2*u(m) - 5*w(m).\nAnswer: -10*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**3 - 9711*c**2 - 48612*c - 58356 = 0.\nAnswer: -3, -2, 3242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20337776 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29616615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 4307 - 4298 - 4304 - 19*c - 4075 + 16984 + c.\nAnswer: -2*c**2 - 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.052, 0.5, 0.2 in descending order.\nAnswer: 0.5, 0.2, -0.052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 3*t**2 - 4*t - 3. Suppose 4*d + 4 = 0, 4*s + 2*d - 57 = 7*d. Let u = 6 - s. Let m(g) = -g - 11. Let f be m(u). What is o(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.044 * 0.5\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 48569502?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 100728907 take away 9961?\nAnswer: 100718946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506759764 - 196*t**3 + 506759764.\nAnswer: -196*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.35 * -12658.6\nAnswer: -42406.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 13067 = -3*q, -3*q = -5*q - 5*t + 8673. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = -2*p, b - 8 = -p - 3. Let u be 2\/((-2)\/2 + p). Put 1, 0, u in decreasing order.\nAnswer: 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = -3*y - 783, -2 = -2*y. What are the prime factors of k?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 + 7*v + 10. Let s(w) = -2*w**2 + 2*w + 3. Give -2*q(d) + 7*s(d).\nAnswer: -2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0*z**2 + 0*z**3 + 0 + 1\/12*z**4 + 2*z + 1\/20*z**5. Factor h(a).\nAnswer: a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 43 = -2*x + 23, 0 = 3*x - 5*d - 74. Let i = x - -41. What is the remainder when i is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 15*l + 1. Let j be w(15). Let n be j\/6 - 51\/(-18). Let c = 3 + -1. Put c, -2, n in ascending order.\nAnswer: -2, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/25 + 2*k**4 + 42*k**3\/5 + 64*k**2\/5 + k + 2686. Factor f(n).\nAnswer: -4*(n - 32)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -474819?\nAnswer: 142445.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (100\/120)\/(43\/258)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -36. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1160320 and 9\/26344.\nAnswer: 103268480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154704 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1401238 and 737?\nAnswer: 15413618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a + 6 = -3*s, -29 + 59 = -s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -35*y - 1. Let a(l) = 17*l + 1. Let x(g) = -13*a(g) - 6*i(g). Is 8 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33995 is divided by 606?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 0*r + 11*r = r + 30 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 35.06. Let a = 1.06 + f. Put -3, a, -2 in ascending order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 907 - 896. Let q be (0 - 0)*(-11)\/b. Solve u + 3 = -q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + -4 + 53301 - 66\/(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 11:44 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7894\/15 - -1061\/2. Find the common denominator of 2\/9 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(84) + sqrt(84)*2) + sqrt(84) + sqrt(84))\/(-4*1*sqrt(12))*-3.\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66368475 is divided by 4837.\nAnswer: 4835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r*t**3*x - 203*r*t*x + 2*r*t - 836*t**3*x**2 - 101062*t**3 - 2*t**2*x - 59*t**2 - 2*t*x**2 - 4*x wrt t.\nAnswer: 12*r*x - 5016*x**2 - 606372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -104.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7705 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 25. Let a be k(10). Suppose 0 = -146*v + 142 + 442. Solve -1 = -v*b - a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*c = -374*c - 747180000. What is c rounded to the nearest one million?\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -22) + 3 + -2 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 11112*l + 188614. Give w(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 5\nAnswer: 119\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x - 4. Let i(u) = 6*u**2 + 72*u + 11. Let p be i(-12). Let l be 7*-3*p\/(-77). Calculate z(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) -0.24 (c) -5\/982 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 1, y: 1, r: 1, i: 1}. Give prob of picking 1 i, 1 w, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38838165001 - 102.\nAnswer: 38838164899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -139\/2. Let o = -501\/3605 - 2\/515. Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9574.054um?\nAnswer: 0.009574054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/2 + -3. Let b = 1.46 + 56.54. Let c = -72 + b. Is c not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -79, -168, -291, -448, -639, -864?\n\"Answer: -17*t**2 - 4*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4224?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 23)*1702\/(-4). Let c = l - -13070. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-6))\/((-8335)\/(-140028))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6795 - 15643 = -211*i - 2604. Solve 0 = -11*s + 28 - i for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 7 + 4 + 0. Let a be d(8). Suppose a*x - 40 = -0*x - 4*i, 0 = -2*x + 4*i + 20. What is the highest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*j - 43880 + 43880.\nAnswer: -267*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*m + 27 + 155*m + 151*m.\nAnswer: 6*m + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1 + 4 + 4 - 766*h - 1. Let f be k(-3). Suppose 6*b - 3*b - 3*i = f, 0 = 4*i + 20. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16384000 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/16 and ((-6)\/(-112))\/((-135)\/75)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16) + (29168\/(-1152) - -25))\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85779308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -3704 in descending order.\nAnswer: 5, -4, -3704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -72. Suppose 0 = 6*s + z*s - 10155. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-146318)\/2946)\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2893197.8399999 + -2893198. Let f = -0.5 - -0.66. Let n = b + f. Round n to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/60832039 or 1?\nAnswer: -11\/60832039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -23013767?\nAnswer: -23013770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -506590628, -506590629, -506590630, -506590631?\nAnswer: -506590632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(1\/1)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5482783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16551 - 11789. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114 is divided by 50?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 9. Let a be r(6). Let c = -15 + a. Let z be c\/(-15) + 14\/(-10). Which is bigger: z or -5\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 8. Suppose 6*r + 30 = 3*w + 3*r, -5*w + 4*r + 45 = 0. Let b = 8 - w. Calculate the remainder when s is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.032143? (a) 3 (b) 4 (c) -4 (d) -0.3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -287 + 308 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 378.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 4\/(-8)*6. Suppose -2*o - 430 = -w*d, -d + 4*o + 325 = 2*d. What are the prime factors of d?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -179\/4. What is the nearest to -0.7 in f, 2\/11, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 101 = d + 5*h, 20 = 4*h. What is the least common multiple of 260 and d?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 1703*u**3 + 838*u**2 + 2*u - 12625. What is the second derivative of j(v) wrt v?\nAnswer: 10218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/10*175\/315?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:28 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 15. Let z = 0.2 - 0.3. Which is the nearest to z? (a) -2 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + (3*sqrt(72) + -4 - (5*2*sqrt(72) - sqrt(72))))**2.\nAnswer: 216*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1021\/2680 + 2\/335. Let f = 55.6 - 55.5. Is t < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1314\/(-1460)*((-320)\/(-6))\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 27)*(-2 + 0 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s + 27. Let b be m(5). What are the prime factors of 3*(56\/b)\/(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-2))\/((-1)\/40). Let j = -8 + o. Let p = -17 - -33. Calculate the highest common divisor of p and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2641179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppcpppc. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -0.5045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 10*j - 245. Let h(u) = -u**2 - 4*u - 83. What is -8*h(d) + 3*p(d)?\nAnswer: -d**2 + 2*d - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-4\/9))**(-11\/5)*l\/(l\/(l**(2\/11)\/l*l)*l)*l*l*l**21*l)**48 assuming l is positive.\nAnswer: l**(34784\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 + 32*v**2 - 26*v + 87. Determine r(8).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4687 (base 11) to base 8.\nAnswer: -14001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246875 by 1.\nAnswer: -246875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 195 = -5*t, t - 5*m = -0*t + 17. Calculate the remainder when (t\/4)\/(18\/120) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) 0.054 (c) -9 (d) 1 (e) -8 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-486)\/117) + 1 + -3\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 848 and 271322.\nAnswer: 272170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 6*n**2 - 11*n - 24. Let x be y(-7). Suppose -4*m = -5*b - 60, x*m = 2*b + 32 + 16. Calculate the lowest common multiple of m and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -150897 minus 0.3?\nAnswer: -150897.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z**5 + 7555*z**4 - 62895*z**3 - 13915*z**2 + 62845*z + 6360 = 0. Calculate z.\nAnswer: -159, -1, -1\/10, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -208 + 244. Calculate the highest common factor of q and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*x - 47 = -47 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - k**3 + 2 - k + 0*k + 3*k**2. Suppose 3*i - n = 11, -i + 3*n = 2*n - 7. Let h be s(i). Calculate the greatest common divisor of 22 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7047*q**2 - 20484*q - 13. Let n(j) = -1175*j**2 + 3415*j + 2. Let r(c) = 13*n(c) + 2*u(c). Find the second derivative of r(a) wrt a.\nAnswer: -2362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27773.996658 and -322.\nAnswer: -28095.996658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y - 648 - y - 3155 - 15*y.\nAnswer: -29*y - 3803","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -12194909.\nAnswer: -36584727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - r = -6 - 0, -4 = -2*r. Let i = 2 - p. Let v = 2 + i. Solve 11 = 3*a + y, v*y = 5*a + y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.4 (c) 1\/233 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 2*a**2 - 19*a + 57. What is k(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 + 593 = 49*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1 (c) 25 (d) -2\/29 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.04 + 0.04. Let u(k) = k - 14. Let r be u(12). Let x be (-7)\/1 + 5 + r + 2. Which is the nearest to 0? (a) m (b) -1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {n: 4, u: 2, t: 1, c: 4, s: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) + -1)**2*-4.\nAnswer: -4612 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/20 + 12 + (1 - 22\/(-5)) - 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = -58*o + 59*o, 1 = -c - 3*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = t + k - 10, 2 = -2*t + k. Let x(n) = 2*n + 377. Is x(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11\/1161 - -87383\/32508. Calculate the common denominator of f and -41\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2732*z = 2726*z - 5464*z + 144 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(2 - 25\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*r = 12, r = -4*n + n + 6. Suppose -2*o - 2*u + 120 = 0, 0 = -n*o + 4*o - u - 64. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3585 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1037 = -79*d, 7*d - 4*k = 2*d - 85 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13002 (base 4) to base 7\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.7776 millilitres in litres?\nAnswer: 0.0947776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 13*l**5\/40 - 32*l**3\/3 + 25. Let o(d) be the third derivative of u(d). Let x(m) = 2*m. What is x(o(v))?\nAnswer: 78*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*(-12 + 4). Suppose 4*n + 5 = -t, 2*t - 3 = p*n - 1. Let u(y) be the third derivative of -y**4\/3 - y**3\/6 - y**2. Give u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 626669740 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 5. Let z(m) = 10*m + 4. Let o(f) = 4*l(f) - 5*z(f). Let n(q) = 4429*q - 4429*q + q**2. What is o(n(w))?\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/5 + 36*r**2 + 540*r.\nAnswer: 3*r*(r + 30)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 5*i + 5. Let j be k(5). Is (-2)\/j - 228\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 18 = -5*k + 2, -2*p + 18 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 0 + 0 + (-3*v + 8*v - v)*(-2 - 2 + 2) - 3*v + 2*v + 3*v + 2*v + v - v - 29*v - 13*v + 11*v + 10*v + 10*v + 2*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + n + n**2 + 0*n**2 + 4 - 2*n. Let a be h(5). What is the greatest common divisor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*s - 4*y + 4, -5*s + 4 = -3*y. Suppose 0 = -s*f - 282 + 1564. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 12*j - 38 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p. Let g(y) = 2*y**2 - 9. Give w(g(v)).\nAnswer: 10*v**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -427235?\nAnswer: 427233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 18*w + 14. Give x(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4)*(-95)\/133.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + q**2 + q - 2. Let a(u) = 2*u**2 + 14*u + 20. Let h be a(-16). Let y be 2\/(-5) - h\/(-70). Suppose 0 = f + y*f. Give k(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14051297*-0.01\nAnswer: 0.0014051297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1545 + -14542435?\nAnswer: -14540560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15408, 9, -127, 3 in decreasing order.\nAnswer: 15408, 9, 3, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1963941 and 31857.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g = 97 - 469 + 1063 + 965 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2. Let h be o(-1). Let d = 10 + h. Suppose d*w + i = 15, -5*w - 4*i + 18 = -3*w. Put 4, w, 0 in increasing order.\nAnswer: 0, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 160, 0 in descending order.\nAnswer: 160, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28422600 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5.08. Let j = a + 1.08. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*n + 5*b, 2*n - 3*b - 768 = 757 - 1516 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13913470 to the power of 1\/2, to the nearest integer?\nAnswer: 3730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + n**2 + 6*n - 1. Let f be j(3). Let c be 5 + -1 + f + -1. Solve 0*y = -c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from momoomomooo. What is prob of sequence ommm?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/6 - 7*w**3\/3 + 3*w**2 + 443*w. Give c(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**5 - 141*j**4 - 4773*j**3 - 23799*j**2 - 19170*j = 0.\nAnswer: -18, -5, -1, 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -59, -163, -357, -671, -1135, -1779, -2633?\nAnswer: -3727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-5)*(-420)\/(-168). Solve 5*d = y - 10, -n*y - y = 4*d + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2777\/15 + 185. What is the closest to 0.1 in 1\/7, 0, f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 3*w - 5*w)*(2*w**2 - 3*w**2 + 0*w**2) + (0 + 0 - 2*w)*(-w**2 + w**2 - w**2) to the form f*w**3 + o*w**2 + k*w + s and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2047985 is divided by 2047813?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2533*b - 19723.\nAnswer: -2533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + f + 6, 4*r - 8 = -f - 2. Let y = r + 37. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(2*c + 2*c - 5*c) - 4 + 3 + 324*c + 1.\nAnswer: 326*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/9)*r)\/(r\/(r*r**(-30)*r)) assuming r is positive.\nAnswer: r**(-245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019605765 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8867 is divided by 1771.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szpezzzsezzzsjzzezs. What is prob of sequence ej?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1212, 4097, 8942, 15777, 24632, 35537, 48522, 63617?\n\"Answer: 5*k**3 + 950*k**2 + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44) - sqrt(176)\/sqrt(4) - sqrt(44))*2 + sqrt(44) - sqrt(44))\/(-3*sqrt(16)))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 201952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 6\/25 (c) -654.9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/5 - 53\/40. Suppose -h + 2*a + 3 = 0, 15 = -3*h - 4*a + 4. Put j, h, -2\/3 in descending order.\nAnswer: j, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 5*t**2 + 14*t. Is j(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 5:46 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/26661 and 30\/62209.\nAnswer: 186627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 >= 20938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 585838 and 2577.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 238, 350?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.83402 nanometers in centimeters?\nAnswer: 0.000003283402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**3\/7 - 2448*d**2\/7 - 24813*d\/7 + 3894 = 0.\nAnswer: -11, 1, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704235045 a multiple of 11614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 3. Suppose -65*r + 90*r = 596 - 121. Solve y*q = -7 + r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (16\/(-6))\/(10\/15). Solve 2*o = -3*b - 12, 4*b + f = 2*o - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 11:59 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/((-26381)\/37))\/((-66)\/(-69))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -13264 in increasing order.\nAnswer: -13264, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-50)*(36\/4 - 4). Let r = -149\/225 + 11\/25. Which is the second biggest value? (a) l (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 489371 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13640.5 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 193, 337, 479, 619, 757?\n\"Answer: -a**2 + 147*a + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4470309 and 3?\nAnswer: -13410927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 617d (base 14) in base 2?\nAnswer: 100000110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 13\/7 of a week?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*l + 533 = 3*h, 0 = -3*h + l + 521. What is the highest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (5 - (9 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 954\/443?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198102, 198141, 198180?\nAnswer: 198219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, 2, 1, -4\/17, -2\/13, -0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - 1b?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - y**2 + 961. Is x(0) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25490886 or 25490887?\nAnswer: 25490887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225.1 + -265. Let o = -10.1 + q. Let j = o + 49.99999977. Round j to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((5 + 35\/(-7))\/4)\/7. What is the second smallest value in q, -0.1, -0.048, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240 divided by 90?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((16\/195)\/(-4))\/2. Let h = z - -4\/65. Suppose u + d + 5 = 0, -4*u - 4*d + 9*d = -16. Is h not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, -508, 2 in increasing order.\nAnswer: -508, -225, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llzzzzzzzzzlzzlml?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-201)\/165 + (-296)\/1628.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 + 134 = -3*f. What is the common denominator of 44\/3 and f\/(-28) + (-16)\/(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*c**2 + 60*c - 3449*c**3 - 2 - 67*c + 3437*c**3 to the form z*c**2 + t*c**3 + v + g*c and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1056000 = -t. What is t rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-13 + 5 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 s when three letters picked without replacement from tatstde.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -485 + 488. What is the second smallest value in -3\/10, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.1 + 23.1. Let t = 57 + -41. Let x = t - b. What is the closest to 1 in x, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637517 is divided by 2287?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 96675985 from 0.32.\nAnswer: -96675984.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 + 104404*q\/11 + 1362524402\/11.\nAnswer: 2*(q + 26101)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -477 (b) -1.9 (c) 1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - 5 - (51 + -62)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2334*k - 626969 + 626969 + 1152*k + 1178*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7848706 is divided by 7848681.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8.71, -2\/9, -2, -0.2, 5, -1148?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**(-2\/7)\/((y**(3\/2)\/y)\/y**(8\/7)))**(-35) assuming y is positive.\nAnswer: y**(-275\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 170072303987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddnhzdfdv. Give prob of picking 1 z, 1 v, 1 d, and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 6*q - q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459887 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, u: 1, i: 2, b: 3, n: 3, v: 7}. What is prob of picking 1 v, 1 i, 1 m, and 1 b?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -152, -434, -972, -1850?\nAnswer: -3152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*1\/(1\/(((-87)\/580)\/((-12)\/20)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -942.0914 - -942. What is w rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -20005 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Put -31.28, -1\/4, -2\/21, 19 in ascending order.\nAnswer: -31.28, -1\/4, -2\/21, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0985 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 136001*n**4\/12 + 7*n**3\/6 + 5*n**2 + 2*n. Let y be d(-5). What is y rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1208558)\/(-39) - -1)\/(2\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -786 - -1144. Let g = r + -379. Which is the smallest value? (a) g (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -366 + 365.99999578. What is k rounded to seven dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-1560)*(-80)\/32\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g + 727 - 714 + 524*g.\nAnswer: 581*g + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j + 10. Let d(g) = g - 1. Let w be (12\/(-27))\/2 - (-184)\/18. Calculate w*d(m) + z(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -166 + 205. Let h be (314\/(-6) + -1)\/((-13)\/r). What is the greatest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 1. Let p(f) be the third derivative of f**6\/60 + f**5\/30 - f**3\/2 + 2*f**2. Give -3*o(q) - p(q).\nAnswer: q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/171)\/(128\/(-480))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1335, 25, 3, -4.6, 2\/13?\nAnswer: -1335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007669 rounded to 7 dps?\nAnswer: 0.0000767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -4. Let p be 0\/(f*(1 + 1)). Let d = -28.002756 - -0.002756. Does p = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51681 - 51296 = 77*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 1, n: 1, d: 1, l: 1}. What is prob of picking 1 l, 1 v, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3be (base 15) to base 8\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25, -17, 1, 35, 91, 175, 293?\n\"Answer: j**3 - j**2 + 4*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g + 5. Let m(j) = -j - 2. Let y(c) = -5*m(c) - 2*w(c). Let r be y(-2). Is (4\/(-8))\/(r\/(-52)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791697800 rounded to the nearest one million?\nAnswer: 792000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1646*o + 1 + 2*o**2 - 1646*o in the form q*o + b + w*o**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*r = 2155934 + 505454 + 658955. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.6 + -279.6. Let h = k - -275.1. Is h greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 44. Let u be -2 + v\/(-10) - 10\/25. Suppose 0 = z - h, 5*z = h + h. Is u less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 - 0?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.2 (c) 4\/3 (d) -32833 (e) -76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 801607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 4*f**2 + 6*f - 3. Let l be k(5). Solve 0 = l*w + 4*m + 24, -2*w + 5 + 1 = -2*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 534496?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/325, 0.8, -2\/23, 45, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 371*l**2 + 3255*l - 15. What is g(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 101 = 3*r, -5*r - 3*a = 71 + 92. Let p = 59 + r. Is 38 a factor of (-4)\/(p\/171)*(-4)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 10479.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*f = q + 732, 0 = -f - 3. Let b be ((-3)\/(-3))\/((-3)\/(-6)). Suppose 5*p = 4*j - 562, 5*j - q = -6*p + b*p. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -14*r - 7. Suppose 45 - 33 = -12*t. Let c be u(t). What is the highest common divisor of c and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (68\/16)\/(8\/256). Suppose 2*y - b - 248 = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 + 59*b**3 - 19*b**3 - 18*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 890*m + 8. What is the tens digit of b(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12583 + -0.065427927.\nAnswer: 12582.934572073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291*b**2*t**3 + 294*b*t**3 wrt b?\nAnswer: -582*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 231 - 232. Let d(s) = -s**3 - 3*s**2 - 9*s - 10. Let t(g) = g**2 - 2. Let n(m) = a*d(m) + 6*t(m). Determine n(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5\/(-45)*(6 + -3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppsjjjjjjswjkj. What is prob of sequence wsj?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.531773 rounded to 2 decimal places?\nAnswer: -19.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -55, -2\/71, 1\/2?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by 11?\nAnswer: -192\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 + 0.8. Let w = 1018\/45 - 112\/5. Which is the smallest value? (a) d (b) 3\/8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*sqrt(448) + -3 + 3 + sqrt(448) + 1)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.9 - -103.7. Let q = -114.8916 + o. Let d = -0.0744 + q. What is d rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*g + 660, 0 = a + a - g - 449. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958*j**3 - 7*j**2 + 9*j**2 - 2*j**2.\nAnswer: 958*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, 17 in descending order.\nAnswer: 17, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5133.4833 take away 1282?\nAnswer: 3851.4833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 9:05 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 9402*k - 18792.\nAnswer: -3*(k + 2)*(k + 3132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-875)\/75)\/(-35)*12\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 - 184415496*d\/5 - 2834089597077168\/5.\nAnswer: -3*(d + 30735916)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kakjffi. What is prob of sequence kjf?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + -0.12. Which is bigger: x or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16098267 is divided by 2742?\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 2*q - 4. What is x(-8)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816.6822 rounded to the nearest integer?\nAnswer: 2817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 7462294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.06 - -0.06. Let w = -1.9 + 1.8. Put -0.3, w, r in ascending order.\nAnswer: r, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7657 - -7661. Suppose 0 = 2*w + w. Solve 3*f - u*t - 3 = w, 2*f + 7*t + 21 = 2*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39845 + -39841. Solve -p*z - 25 = -i, z - 2*z - 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccqy when four letters picked without replacement from {y: 4, c: 4, x: 5, q: 3}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 684*l**2 - 7*l - 3. Suppose 3*s + 5 - 3 = 2*d, 3*d = -15. Is y(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126234 is divided by 281425.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/7*n**2 + 15\/7*n - 12\/7 = 0 for n.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/4)\/(1 + 30\/(-24)). What is the second derivative of -195*q**3 + 101*q**d + 191*q**5 + 94*q**3 - 45*q + 1 wrt q?\nAnswer: 3820*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(45)\/sqrt(5)) + sqrt(28))\/sqrt(4))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 373*a**3 + 16 + 42 - 5 + 91 wrt a?\nAnswer: 1119*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3*j**2 - 10\/3*j - 2\/3 = 0. Calculate j.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - u - 4*u + (-4*u - 4*u + 6*u)*(-4 + 2 + 4) - u + 4*u - 5*u - 4*u + 2*u + 0*u)*(5 + 0 - 4) to c*u + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 529324.3 and 2.01?\nAnswer: 529322.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5964386.53 plus 1?\nAnswer: -5964385.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 10*x - 1. Let n be q(-7). Calculate the smallest common multiple of (n - -1)*170\/(-119) and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1640, 1642, 1644?\nAnswer: 1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1) + 0\/2. Let t = 2.28 - 2.28. What is the nearest to t in -3, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 5*k**2 + 10*k - 1. Let o be u(-8). Let g = o - 76. Calculate the remainder when g is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 6*s + 3. Calculate f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h**3*s*w**2 - h**3*s*w - h**3*w**3 - 26*h**2*w**3 - 2*h**2*w + 2*h**2 + 2*h*s*w wrt h?\nAnswer: 48*s*w**2 - 6*s*w - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502*c + 1539*c = 1294*c - 4440 + 56850 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) + (-117)\/(-36)*206. Suppose -3*j = 4*o - k + 47, 3*j = 2*o - 325. Suppose 2*f + 5*b = o, 0 = f + 2*b - 19 - 61. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -2\/105*n**7 + 0 + n**2 + 0*n**4 + 0*n**6 + 0*n**5 + 0*n + 1\/3*n**3. What is the first derivative of k(p) wrt p?\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*y - 1596 = -195*y - 3*d, d = -3*y - 4818. Round y to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 11*z**2 - 28*z - 21. Let r be d(-13). Sort -10, r, -12 in increasing order.\nAnswer: -12, -10, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + 42*d + 13. Let v = -726 + 712. Let h be i(v). Solve 5*o = 5*q - 15, -4*q - 4 + h = -3*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -10. Let d = 4567 - 4571. Is d at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z - 2. Calculate the remainder when -11 + 3 - 0 - 18312\/(-56) is divided by d(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 50 = 5*d. What is the tens digit of 2\/4 - 189\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -340 + 340. Suppose -3 = -6*v + 3*v. Solve 2*z + 3 - v = o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 7) in base 15?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127073023.5524 + -4.\nAnswer: 127073019.5524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 3*j + 3*j**2 - 17*j**2 + 12*j**2 to r*j + p + q*j**2 + m*j**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1565 - 886b?\nAnswer: -a214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85 * 0.3.\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/65 and -35\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4160 and 49352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.37 rounded to one decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29250 and 1250?\nAnswer: 146250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 3042333?\nAnswer: -3042332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 3*z + 2. Let u be i(2). Let w(t) = -57*t + 163. Let p be w(3). Put u, p, 5 in decreasing order.\nAnswer: 5, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 98\/6281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/7 + 62*i**3\/7 + 2*i**2\/7 - 62*i\/7 = 0.\nAnswer: -1, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677755 to the power of 1\/2, to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -3 - (11 - -1)) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7117*j**2 + j**3 - 7117*j**2 - 8*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 664969 and 222150?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 8 = 2*v. Suppose -v*u + 34 + 14 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = 0, -q - 3*y + 18 + 7 = 0. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102021202111 (base 3) to base 7.\nAnswer: -1613503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-3)))\/(o*o**(-1\/3)))\/(o**2)**(-26) assuming o is positive.\nAnswer: o**(145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:12 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25ba - b?\nAnswer: 25ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-2\/47)*p)\/(((p*p*p**20)\/p)\/p) assuming p is positive.\nAnswer: p**(-797\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14547*j**5*l**2 + 6*j*l**2 + 855*l**2 wrt j.\nAnswer: 290940*j**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38339543*b**3 - 153122698*b wrt b.\nAnswer: -230037258*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43330733 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8571692 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639906 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, e: 12}. What is prob of sequence eoee?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a minute in seconds?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(3 - 5 + 3)*(-2*p + p**4 + 2*p) + 3*p**4 + p - p.\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3\/8 + 4059321*c**2\/4 + 5492679423027*c\/8 - 5492711897643\/2 = 0.\nAnswer: -1353109, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 487847161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-12)\/(-10))*162\/(-540). What is the nearest to n in 0, -4\/7, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnllnllllnllll. Give prob of picking 3 l.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-3 - -5) + 4. Suppose -j*v + 4*f + 73 = 0, 5*v = 4*v + 3*f + 8. Let b = 30 - v. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 93 = -397. Suppose 3*s - f = -2*s. What is the second derivative of -s*t**5 + 0*t**5 + 132*t - 124*t wrt t?\nAnswer: -280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 5. Suppose f*b - a = -0*b + 64, 4*b - 5*a - 80 = 0. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w + 42 = 0. Let o be (-4)\/w - (-61)\/7. Solve 5*f + o = -16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -5473?\nAnswer: -5461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-189))\/((-1)\/(-12))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -40. Let v(w) = -w**2 + 3*w + 1. Let n be v(3). Calculate the remainder when d is divided by -9 + 10 + n + 1 + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.27*-4.\nAnswer: -5.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-1*sqrt(3)) - (-4*-1*sqrt(11))**2.\nAnswer: -176 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from {q: 3, h: 1, r: 1, d: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 11*w**2 + 17*w - 9*w**2 - 3 - 9*w**3.\nAnswer: -9*w**3 + 17*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*(-11)\/165)\/((28\/12)\/1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - 1 - (-3444)\/41. Calculate the highest common divisor of r and 13970.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -r - 80. What is the remainder when 43 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 48 + 8 + 6308*p + 14 + 11 in the form b*p + s and give b.\nAnswer: 6308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3)*(-3)\/4*4. Let g(n) = -n**3 + 4*n**2 + 6*n - 3. Let t be g(4). Factor d**3 - 27*d**5 + 14*d**3 + 30*d**4 - t*d**4 + 3*d**s.\nAnswer: -3*d**2*(d - 1)*(3*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -83 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31265713901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 140*c**3 + 315*c**2 - 450*c.\nAnswer: -5*c*(c - 30)*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbe when three letters picked without replacement from {b: 3, e: 3, m: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 p when four letters picked without replacement from pijjpys?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 227*o + 141. Is q(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 10100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + k + 0)*(k**4 - 3*k**4 + k**4) - 2*k**5 + k**4 - k**4 + (3*k**3 + k - k)*(-k - 2*k**2 + k) + (-3*k**4 - 2*k**4 + 6*k**4)*(-16*k - 17*k + 14*k).\nAnswer: -28*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 10. Let q(x) = 5. Determine -7*q(s) + 4*v(s).\nAnswer: 4*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -9. Let l = 3\/38 - -131\/266. Let d be 6\/(-24) - (-2 - -1). What is the second biggest value in l, d, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 116202 in descending order.\nAnswer: 116202, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2940))\/(sqrt(5000)\/sqrt(10) - sqrt(5))*-6.\nAnswer: -56*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/7)\/(276\/(-483)). Which is the third smallest value? (a) 8 (b) 0.4 (c) g (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9541 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**7\/2940 + q**6\/420 - q**5\/140 + q**4\/84 - 2*q**3\/3 + 3*q. Let r(d) be the second derivative of h(d). Factor r(z).\nAnswer: -2*(z - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 5*o**2 - 7*o - 21. Let n be f(-5). Let h be n\/(-4)*(-12)\/21 - 0. Suppose t - 152 = -2*s - 53, 3*s - 147 = -h*t. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 69)*(2 - 1)\/(-1). Let u(c) = 9*c + 4. Let r be u(-4). Let k = r + s. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t**2 + 14*t + 3. Let w(k) = 3*k**2 + 5*k + 1. Let x(j) = 6*f(j) - 17*w(j). Let r be x(1). Solve -3*z + r = b, -2*b + 2 = z + z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 2*k**2 - 3*k + 2. Let s be p(-3). Let j(g) = -6*g - 206. Let r(d) = -13*d - 480. Let v(i) = -7*j(i) + 3*r(i). Calculate v(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2*(-3)\/90). Suppose 2*u - 9 = -q + 1, f = 3*u. What is g in -2*g**3 + g**2 + g**2 + q*g - 2 + 2*g = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*c**2 - 14374*c + 2226 = 0.\nAnswer: -53, 21\/136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/7677 and 93\/776.\nAnswer: 5957352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*r + 149, 5*o = -8*r + 3*r + 175. Suppose n + o - 64 = 0. Suppose -10*c = -8*c - n. Solve -3*k - 5*x + 11 = -c, -k = -3*x + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13638980 - -13630673.017. Let o = p - -8303. Let h = 0.017 - o. Which is the nearest to 1? (a) h (b) -1\/10 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(28\/9))**13\/(o**(-2\/47))**(-48) assuming o is positive.\nAnswer: o**(16244\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyocytk. What is prob of sequence co?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1656 and 151\/432.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55, 63, 77, 97, 123?\n\"Answer: 3*p**2 - p + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201231 is divided by 6489.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 2. Let p be a(2). Let i(r) = 2*r + 3*r - p*r - 2*r. Let m(t) = 2*t. Calculate i(m(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -533243, -533093, -532843, -532493, -532043?\n\"Answer: 50*i**2 - 533293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21205 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*t*w*x**2 + 1240*t*x + w*x**2 + 143*w*x - 4810*x**2 wrt x?\nAnswer: 108*t*w + 2*w - 9620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -16\/5*u**3 - 2\/5*u**4 + 0 + 0*u**2 + 0*u = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8882*t**2 + 8890*t**2 - 26615*t**2 + 8902*t**2.\nAnswer: 59*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*t + 300 = -254*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 - 4*h**2 - h**2 - 6*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**2 + 8820816*z - 6483899575488 = 0. What is z?\nAnswer: 1470136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8640)\/340)\/(-36))\/2.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 386 - -31?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11459822 is divided by 366?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmbzkmmz. What is prob of sequence zkzm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**7\/210 - a**6\/180 - a**3\/2 - 2*a**2. Let i(p) be the first derivative of n(p). Let i(q) = 0. Calculate q.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(392\/210)*(-2)\/(-54)*3\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 4*z - z)*(-7*z + 0*z + 0*z)*(2*z - 2*z - z) as j + m*z**2 + w*z**3 + x*z and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3404078, -2, 0.2, 1 in decreasing order.\nAnswer: 1, 0.2, -2, -3404078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.8 and 3512372.\nAnswer: -37933617.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -6*f - 45. Sort 4, 206, f.\nAnswer: f, 4, 206","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -8c4?\nAnswer: 8c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 2*o**2 + 2*o + 3. Let i be 3 - (3 + -4)\/(-1). Suppose i = -j - 2. Let y be a(j). Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = n + 62, -27*l + 5*n + 120 = -32*l. Find the common denominator of 47\/26 and (4\/48)\/(l\/893).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v + 76. Let q be y(9). Suppose 5*g - q*c - 18 = 7, -5*g + 25 = 5*c. Sort 0, -2, g, -5 in ascending order.\nAnswer: -5, -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*s = 0, 0*h + 5*h = -3*s + 18. Suppose -2*r - r = -h. Suppose w = r*f + 10, w + 4*f + 10 = 2*f. Solve 4 = -q, 2*q = -w*c - 4*c - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Suppose -5*d = 4*z - 16, -5*z = -2*d + d + 9. Let l be d\/(-18) + 8\/36. Solve 2*r - 2*m + 5 - 3 = p, 5*r + 2*m + 19 = l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 98*r + 3*r**4 + 351*r**2 + r**3 + 95*r - 349*r**2 - 4 + 2 to z*r**2 + j*r**4 + w + x*r**3 + q*r and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -7)\/(4\/(-94)) + -3. Let m = q - 134. Let a(c) = -3*c + 2. Calculate a(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/(-33) + (1 - (-25)\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-1*5*-6.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*t + 10, t - 8 = -n - 3. Let a = n - -141. Calculate the common denominator of 47\/7 and a\/15 + 0 + -3.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 45*l**2 + 187*l - 1216. Determine j(41).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**3 + 3204*a**2 - 152104*a + 148896 = 0.\nAnswer: -846, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642491 - 3*h - 642491 + 56*h.\nAnswer: 53*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = 0, -180 + 13 = -5*z + r. Let s = -1770 + 1750. Let a = s + z. What is the remainder when 54 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 39 = 21. Let s(x) be the second derivative of -x**3\/6 - 3*x**2 + 17*x. Let h be s(l). Solve d - 20 = h*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 283945 and 79025.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 6*m + 6. Suppose -3*s + 3 = -15. Suppose 2*p + s = 10. Suppose 1 = p*f + 3*r + 7, -f + 4 = 5*r. Give h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2331287 to the nearest 1000.\nAnswer: 2331000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.0525 + -0.0525. Which is the nearest to l? (a) 2\/13 (b) -1\/3 (c) 1 (d) -64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) -0.5 (d) 8.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 3*u. Let f be h(-5). Let t be 2*(5 + 20\/(-8)). What is the third derivative of q**3 + 5*q**t - 7*q**3 + 6*q**3 - f*q**2 wrt q?\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 1, u: 6, x: 1, q: 8}. What is prob of sequence qx?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6434?\nAnswer: 2, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 - 2844*u\/11 - 923680\/11.\nAnswer: -2*(u + 502)*(u + 920)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 14906.\nAnswer: 27\/14906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/12 - 35*x. Find f, given that j(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 10*r. Suppose r = 2*l + 2*z - 18, -5*l - 2*z = -z - 65. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623 - 18776*z + 18778*z + 292.\nAnswer: 2*z + 915","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 186528 = -2*a. Suppose -3*x = 9*x - a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*n + 1041, -n - 4*s = -0*n - 256. Calculate the lowest common multiple of n and 16.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(288)) + 3)**2.\nAnswer: -72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 643*l**3 + 2886. Let d(k) = 4*k. Calculate u(d(m)).\nAnswer: 30864*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7 - -1) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.81 - 2.81. What is the smallest value in r, 44, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203277?\nAnswer: 3, 67759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/60 - 3*v**4\/8 + 3*v**3\/2 + 21*v**2. Give i(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3*l - 89*j**3*u - 2*j**2*u**2 + j*l*u**2 - 75*l**3 with respect to l.\nAnswer: -j**3 + j*u**2 - 225*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - -189. Determine l, given that -10*l**2 - 2*l - 4*l**3 + 115 + 115 - r = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9709181 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -19887*o - 495. Let w(x) = -1243*x - 30. Give 2*a(g) - 33*w(g).\nAnswer: 1245*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -478 + 477.8862. Let p = -6.5438 - l. Round p to 1 dp.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(3\/7)))**(2\/93)*(v**(1\/3)\/v*v)**(-15) assuming v is positive.\nAnswer: v**(-1087\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 53. Let d be q(-14). Suppose 5*x - 4*r - 199 = 0, -4*x - d = 3*r - 195. Suppose -x*l = -48*l + 200. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101111 (base 2) in base 11?\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {f: 2, b: 1, m: 4, a: 3, r: 4}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 459 + 2?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 1. Let c(p) = 8*p + 10. Let r(o) = -c(o) - 6*m(o). Determine r(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54432 and 193872?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -31791.\nAnswer: 5\/31791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, a: 9}. Give prob of sequence nan.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 9*w + 14. Let y be u(6). Let l be (4\/y)\/((-4)\/(-56)). Let t(g) = -3*g. Let z be t(l). Calculate the greatest common factor of 63 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7b7053 (base 13) to base 9\nAnswer: 5453336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -2\/7, 18\/7, 1\/2?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l. Suppose 9 = 4*j + 1. Let p(c) be the first derivative of 0*c - 2 - 1\/2*c**j. Calculate p(w(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*f + 18, -2*m = -3*f - 7 - 9. Suppose -4*y - 2 = -2*g, -m*g - 5 = y - g. Which is the nearest to 1\/4? (a) 3 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -387235 by -57.\nAnswer: 387235\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (37 - (145 + (-1 - 10))).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693973?\nAnswer: 7, 99139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3037?\nAnswer: 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 + 230*t**4 + 2454*t**3 + 5818*t**2 - 8260*t - 30000 = 0.\nAnswer: -5, -4, -3, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 168920884*a\/3 + 7133566262835364\/3.\nAnswer: (a - 84460442)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 10:26 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367187 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1089226 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 5) to base 8.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133 + 74. Let h = y - -40. Let q = h - -18.9945. What is q rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 3*p**2 - 6*p - 11. What is l(6)?\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 20 = n. Suppose d = -n*d + 5. Solve 2 = 2*s + q, -q = s - 0*q + d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1545*((-8)\/14)\/((-120)\/140)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/293 and 41\/8?\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -65.76 (b) 2\/15 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 49, 3, 0.21, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-306))\/((-4)\/(-18))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d - 7*d**3 - 3*d - d**2 + 5*d**3 - 9*d**3 + 5. Is 7 a factor of h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from xxmgxmokooxxgmmxgm.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.669234 decades to centuries.\nAnswer: 0.8669234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.08 in -3\/4, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8446 is divided by 353.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*d - 20 = 100*d. What is the second biggest value in 11, 4, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 - -37. Suppose -3*n + 0*n = -p. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2 + 49 = -5*c + 9 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-645)\/(-12) - ((-4)\/(-30) + 830\/(-600)). What is the closest to 1\/3 in a, -0.5, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 706.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 2*s + 3*s)*(-64*s + 439*s - 129*s).\nAnswer: -246*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -207742, -1\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 720*a**2 - 25920*a.\nAnswer: -5*a*(a + 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 26 = 14. Suppose r + b = 5*r. Solve 3*f + 10 = r*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 5:51 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tez when three letters picked without replacement from zezzmht?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 6*a**2 + 43*a + 29. Let h be r(-10). Let m = -58 + 233\/4. What is the second biggest value in h, m, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48984051463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**5\/40 - h**4\/24 + h**3 + 2. Let c(m) be the third derivative of u(m). Differentiate c(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, 0, 41, 108, 207, 344, 525?\n\"Answer: s**3 + 4*s**2 + 2*s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + k**5 - 3*k**5 - 54*k**5 - 386*k**4 + 386*k**4 + (-k**4 - 1 + 1)*(0*k + 4*k - 2*k).\nAnswer: -58*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1190 and 156165485.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:20 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -4.2. Let z = y + -1.8. Let k = -1 + z. What is the closest to -2\/3 in k, -3\/7, 2\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:55 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15243 - -55817. What are the prime factors of u?\nAnswer: 2, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 7, o: 1, b: 3}. What is prob of picking 3 h and 1 k?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228455 - 107095. Suppose 0 = -i + 826566 - 135206. Let p = i - l. Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589580 is divided by 211.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12803 - 18897203\/1476. Find the common denominator of -53\/66 and h.\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 5\/123077 (c) -47 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12 = 0, 0*l = -f + 2*l + 1. Let n = 1 - 1. Let c(r) = -3 + n*r**2 - r**2 - 3*r**2 - r**3 + 4*r. Determine c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -16. What is the remainder when 80 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*i - 24 = 0, 19*o = 14*o - 4*i + 30 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*g**2 - 625*g + 2*g**3 + 9*g**2 + 541*g + (2*g + 0*g - g)*(3 - 3 - 3*g**2) - g**3 + 3*g**3 + 0*g**3.\nAnswer: g**3 - 3*g**2 - 84*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five quarters of a minute?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + -0.1. Let g = 36686 + -38670.9. Let w = g + 1985. Which is the third biggest value? (a) i (b) w (c) 2\/5 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/4)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 77?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 1. Let n(s) = -10*s - 4. Let x(a) = 2*i(a) + n(a). Determine x(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + ((-12)\/10 - (-1701)\/405). Solve -35*t + 31*t + j*x = 0, -3*t - x = 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135 - 55. Is 80 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k**2 - 3*k + 4. Let w(v) = -21*v**2 + 7*v - 9. What is -9*h(d) - 4*w(d)?\nAnswer: -6*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*j**3*s - 1101*j**3 - 247*s wrt s.\nAnswer: 7*j**3 - 247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 374.17 or -46?\nAnswer: 374.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 9 = 1. Let x be ((-9)\/(-2))\/(3\/p). Let b be (x - -3) + (11 - 2). Calculate the greatest common divisor of b and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 86185671?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 3*h + 5. Let a(y) = -3*y**3 + 5*y + 9. Let w = -4279 + 4284. Give w*j(u) - 3*a(u).\nAnswer: -u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b**5\/3 - 24662*b**4\/3 - 309854*b**3 + 1480678*b**2\/3 + 4039672*b\/3 + 551360 = 0. Calculate b.\nAnswer: -1723, -40, -1, -4\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10055\/8 - -1247. What is the common denominator of y and ((-8)\/42)\/((-6)\/153)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + 19536\/(-192) + 54.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*n + 30 - 10, 48 = -2*n + 2*k. Does 67 divide ((-543)\/15 + -4)*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01158903521 rounded to four dps?\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d + 16 - 18 + 2 + 0 + 7. Calculate q(12).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 0, 163*b - 165*b - 3*n = -14. What is the highest common factor of b and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-8 + (0 - 6) + (0 - -8))) + 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 23433377?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -30*l + 8*l. Let c = 7 - 7. Put c, 4, l in descending order.\nAnswer: l, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 5:12 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -27. Let z = n - -0.3. Sort z, -4, -3, 3\/5 in decreasing order.\nAnswer: 3\/5, z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3686 is divided by 916.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78487037\/72 + 1090146. Let a = -423\/8 + n. Calculate the common denominator of a and (4\/(-30))\/(12\/395).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.0996 rounded to the nearest integer?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 43*o - 40. What is s(-10)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6)*-1*0)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19013, -76032, -171039, -304034, -475017, -683988?\n\"Answer: -18994*f**2 - 37*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3450632161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 3*r - 3322 = 7*m, 8295 = 5*m + 5*r. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m - 1306 = -102 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25735553 to the nearest integer?\nAnswer: 5073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 1. Let w be u(-1). Let q(o) be the first derivative of -1\/3*o - 8\/3*o**4 + 5 + 1\/3*o**w + 16\/15*o**5 + 5\/3*o**3. Determine p so that q(p) = 0.\nAnswer: -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x - 75. Calculate y(-62).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-104)\/12 - 3)*-3. Let f be (-126)\/o*(-15)\/9. Let w be (-21)\/21 - f\/(-4). Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 222 - 54. Let b = i - -44. Solve -14 = -4*v - b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 + 1557 + (-1 - -19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 145 + 4 - 193*r**4 - 9 wrt r?\nAnswer: -772*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-5 + -3 - (8 + -21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -234 + -43?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2 - -5) + (-33 - -35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -205189 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 6*o**2 + 20*o + 2. Let t(s) = s**2 + s - 1. Let w(f) = -b(f) + 4*t(f). What are the prime factors of w(6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*o**2 + 1)*(7 + 10 - 1) + o**2 + 10*o**2 - 2*o**2.\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 938 divided by -1922.\nAnswer: -469\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 8. What is the least common multiple of ((-8)\/3)\/(1\/(-3)) and n(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.2. Let a = 2.9 + -0.9. Let x = 3 - a. Is x greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 126040390.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 43 + 35 = -n, -3*l = 5*n - 70. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b*s**2 + 21156*b*s*x - 10*b*x + 8*b + 78*s**2*x + 380*s**2 - 2*x + 11 wrt b?\nAnswer: -s**2 + 21156*s*x - 10*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 1}. What is prob of sequence ix?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**8*p*p\/p**(-2\/61) assuming p is positive.\nAnswer: p**(612\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/371 - 6303\/742. Find the common denominator of 107\/18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.073 times 0.09\nAnswer: -0.00657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10048 or -15389?\nAnswer: -15389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*u**2 - 112*u**6 - u**4 + 119*u**6 - 8*u**2 + 10*u**2 wrt u?\nAnswer: 840*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 - -10 - (-5 + -4) - (26 + -10)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99777 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2552 = 3*k - 3*p, 1258 = k + 3*p. Suppose c = 5*v + 280, 5*c - k = 2*v - 3*v. Let z be 1 + (3\/(-4) - c\/(-20)). Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -665, -666, -667, -668, -669?\n\"Answer: -t - 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 860155572 divided by -4?\nAnswer: -215038893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoo when three letters picked without replacement from {o: 2, a: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982033?\nAnswer: 13, 75541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**8\/336 - g**7\/168 - g**6\/72 + g**5\/24 + g**3\/3 - 13*g. Let f(n) be the second derivative of q(n). What is x in f(x) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**14\/(g*g**(-17)*g) assuming g is positive.\nAnswer: g**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**3 + 2*d**2 + 13*d + 11. What is m(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.885828 + -0.5?\nAnswer: -3.385828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3557*m + 198318 = 2064*m - 318814 for m.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -27 - 302. Let t = -39 + n. Calculate the smallest common multiple of 18 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 46*a**2 + 7*a**2 + (3*a + a - 3*a)*(2*a - 2*a + a) + 4*a**2 + 46 - 46 as x*a + i*a**2 + w and give i.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22977531, -45955064, -68932597?\n\"Answer: -22977533*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172376 divided by 7?\nAnswer: 172376\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 69639081\nAnswer: -1\/23213027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/77, 10.5, 4\/7, 1\/171, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/12*(-2021871050)\/(-15). Let j = q + 11243341. Let u = -10729 + j. Calculate the common denominator of u and 101\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + c + 9. Let s(f) = -f**2 - 2*f - 8. Let n(a) = 6*s(a) + 5*z(a). Let t be n(-6). Solve -19 = t*o - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -15*c + 3854. Give u(25).\nAnswer: 3479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28382*f*k**3*m + 2674*f*k*m**3 + 27*k**3*m**2 - 367614*m**3 wrt f.\nAnswer: 28382*k**3*m + 2674*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/433 < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1096399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2*10\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -10*u + 13*u. Solve -2*q - 3*z - 11 = -0*q, -5*z = 3*q + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3180 - 2703. What is the greatest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -c - 4*c + 13, 2*c - 4*u = 0. Suppose c*k + 3 = w + 2, 3*w - 8 = 5*k. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -40 in increasing order.\nAnswer: -40, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -65548032 divided by -93108\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/((sqrt(176) - -2*sqrt(176)) + sqrt(11)) + 1.\nAnswer: sqrt(5)\/13 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15812\/9 - -1757. Let v be 4\/(-6) + (-15)\/18. Sort -0.3, v, x.\nAnswer: v, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58386 or 58244?\nAnswer: 58386","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/20)\/((-158)\/(-40) - 4). Let j = q - 12. Let d(b) = b - 22. What is d(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 2*k**2 - 4*k - 3. Suppose -2*w + 4*w = -6. Is u(w) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11.6847 and 21.\nAnswer: 32.6847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.18755\nAnswer: -0.56265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -10\/7, -1\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/2 + 71*f**3\/4 - 2671*f**2\/4 + 6081*f\/4 + 3717\/4 = 0.\nAnswer: -59, -1\/2, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -128. Let x = l + 127.5. What is the fourth smallest value in -3, x, 2\/11, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1201 + -288?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2125*j - 2489*j = -4368 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 33461166?\nAnswer: 33461163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 63 = -71. Solve t*m = -33*j + 37*j, -2*m = 5*j - 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132130140 - 304?\nAnswer: 132125432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -891 - -2?\nAnswer: -88d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 - -126. Which is smaller: s or 10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*x = 153*x + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dba + 8?\nAnswer: -db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from xxxxvvxx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*h + 11582*h + 60433*h + 63.\nAnswer: 71752*h + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -455? (a) -38 (b) -2 (c) -2\/3 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/17562350 and 23\/26.\nAnswer: 17562350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -40*c + 10. Let s(d) = -7*d**3 + d**2 - 2*d - 3. Let a be s(-1). Let p be w(a). Let g = p - -1313. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -0.7. Let x(n) = n**3 - 5*n**2 + 1. Let f be x(5). Let i = -0.07328 - -0.03328. Which is the closest to f? (a) i (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2720503 is divided by 136025.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5892*k**2 + 10842*k**2 + 5*k**3 - 4950*k**2.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 18005.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2 + 2*h**3 - 2*h**3 - 2*h**3 + 0*h**2 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:01 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + z + 0)*(-37 - 21 - 54 + (-1 + 3 - 3)*(0 + 1 + 1) + (-4 - 5 - 2)*(1 + 1 - 1) + 2 + 0 + 0 + (0 - 3 + 4)*(1 + 1 - 4)).\nAnswer: -125*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 3, d: 1, g: 1, v: 1}. What is prob of picking 1 l, 1 d, and 1 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - x = 35, 14 - 49 = -5*z - 5*x. Suppose 4*r - z*r = -15. Suppose 0 = 5*c - r*b - 5160, 5*c - 3*b - 5150 = -8*b. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 524*x**4 + 5*x**2 - 1626*x - 1 wrt x.\nAnswer: 6288*x**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0*u + 2*u - 4*u)*(-7*u + u + 10*u) - 3*u**2 - 78 + 78.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmqmrnqqmqqbbmqq. What is prob of picking 2 m and 1 n?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39281, 39282, 39283, 39284, 39285?\nAnswer: 39286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 430, 552, 674, 796, 918?\n\"Answer: 122*j + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*h + 33*h - 45*h + 1861 - 454 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-6)\/36*1*-3). Let o(a) = 3*a**3 - 3. Let n(m) = 3*m**3 - 4. Give y*o(c) + 5*n(c).\nAnswer: -3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 1370406241.\nAnswer: 1370406241.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*y = 500, y - 1097 + 82 = -4*t. Let k = t - 417. Let f = -121 - k. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-31 - (-33 + 9))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**4)**(-3\/7)\/((((s*s**(3\/2))\/s)\/s)\/(s\/s**(2\/9))) assuming s is positive.\nAnswer: s**(197\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1929331?\nAnswer: 1929331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0104 - -0.0996. Which is the second biggest value? (a) 1 (b) 4 (c) n (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 16*j + 2*d - 6 = 0, -9 = -j + 5*d. Solve 0 = -j*l - 2*l + 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/2))**(-39)*q*q*q**(7\/11)*q*q**29 assuming q is positive.\nAnswer: q**(2863\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13321010020 (base 4) to base 6\nAnswer: 112201304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.12 - -3.12. Let g = -1.5 + 1.1. Let s = 45\/14 - 26\/7. Which is the closest to z? (a) g (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, -0.5, -10.25, -26 in increasing order.\nAnswer: -26, -10.25, -0.5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2\/10 + 41*j\/5 - 696\/5 = 0.\nAnswer: 24, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 4. Let d be o(-4). Let u be (-27)\/(-6)*20\/(-15). Let q be u\/51 - 12\/(-102). Solve -4*p + q*p = d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h + 6 = 2*m, -4*m + 4 = 4*h. Let r = 395.76 + -403. Let t = -0.24 - r. Which is the smallest value? (a) t (b) 2\/19 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o**3 + 11 - 11 + (-o + 0*o + 2*o)*(2 - 2 + 4*o**2) to j*o + x*o**3 + b*o**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3024, 4445, 16900, 34347, 56792, 84241, 116700, 154175?\n\"Answer: w**3 + 2487*w**2 + w - 5513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2240 - 11223011?\nAnswer: -11230301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -123*g + 127*g + 16, -2*g + 3*c - 11 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 97 - 149256?\nAnswer: -14916a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884372?\nAnswer: 2, 3, 7, 22433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2400.063 milligrams to tonnes.\nAnswer: 0.000002400063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000496 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 210407760 and -1.320558.\nAnswer: 210407758.679442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 997, 1961, 3235, 4819?\nAnswer: 6713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2702 = -2*y - 5*d, 3*d = 5*y - y - 5456. Suppose -10*p - y = -4781. What is the remainder when p is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112056*d**2*k**2 + 2*d*k - d + 2*k**2 - 11863 wrt d?\nAnswer: 224112*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-271)\/2710)\/(3\/150)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 10*y + 208. Let c = 89 - y. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*k**2 - k + 7 + 65 - 9 - 48*k**2 to the form a + p*k + c*k**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k**2 + 6*k + 4. Give o(-3).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -19 (c) -3\/4 (d) -1344\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:44 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 2:53 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 119 - 267)*(-7*m**2 + 3*m**2 + 2*m**2)*(-2*m**3 + m**3 + 4*m**3).\nAnswer: 1428*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 19*m**2 + 393*m - 272. Give c(-13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (10\/(-4))\/(8\/(-16)). Let i be -1*(-3)\/6*-2. What is the units digit of 64*(4 + p)\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/4 (b) -12.5 (c) 47 (d) 0.4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -850 (base 11) to base 3.\nAnswer: -1101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -40.852182 from -0.05.\nAnswer: 40.802182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 685283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*k + 120*k + 0*k**3 - 3*k**3 - 19*k**4 + 5 - 60*k in the form s*k**2 + b*k**3 + o*k + y + p*k**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -560, -708, -948, -1280, -1704, -2220?\n\"Answer: -46*s**2 - 10*s - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 210874*a + 0*a**3 - 210878*a - 17*a**2 - 1 + 2*a**3 + 2*a**4 in the form p*a**3 + k*a**4 + y + j*a**2 + d*a and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 84, 91, 104, 123, 148, 179?\n\"Answer: 3*a**2 - 2*a + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwxttwtxdt. Give prob of picking 2 w.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8000130.\nAnswer: 2, 3, 5, 266671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 6*w + 14*h - 85 = -12, -5 = 173*h - 174*h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2056 and -451?\nAnswer: -927256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*z + 17*z + 6*n + 122, 5*n = -5*z - 10. Suppose 3*a + 12 = 66. What is the remainder when a is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -23, -66, -145, -272?\n\"Answer: -2*f**3 - 5*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2 = -4*j, 2*a + 106 = j + 112 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(208) + sqrt(208) + 4) - ((sqrt(208) - (sqrt(208) + -1*sqrt(208)*-4))*2)**2) + 1.\nAnswer: -13305 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -153*t - 2. Suppose 4*n = 3*l - 2, 2*l - 4*l = 4. Let q be p(n). Suppose 8*s - q = 4*s. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 + (3\/4 - 3\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 4.412283?\nAnswer: 0.587717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - 45 - (-1 + 29 + -83 + 77).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r**(-2\/15))\/(r**(-5\/4)*r**9*r) assuming r is positive.\nAnswer: r**(-493\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/5, 1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-4 - -72) + 3 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -4*h**7\/7 + 2*h**5\/5 + 7*h**3\/3 + 90. What is the third derivative of i(z) wrt z?\nAnswer: -480*z**3 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0395894837 rounded to four dps?\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 2*g + g)*(5 - 5 - 2*g) + 3*g**2 - g**2 - 3*g**2 to d + j*g**2 + y*g and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 25 - (13 - -3)) + 5 - (25 + -18).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3\/8 + 21*x**2\/4 - 24*x + 36 = 0. What is x?\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g + 84. Let q(c) = 18*c**2 - c - 8. What is the smallest common multiple of q(-2) and s(12)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367 times 0.5?\nAnswer: -683.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1722, 3247, 7350, 15309, 28402, 47907, 75102, 111265?\n\"Answer: 213*l**3 + 11*l**2 + l + 1497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 12:42 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2. Let a(h) = 9468*h. Determine c(a(z)).\nAnswer: -268929072*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1939742 bigger than -1939727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3990334, 3990333, 3990332, 3990331, 3990330?\nAnswer: 3990329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -35. Suppose -h = -a*k - 0*h + 308, 3*k - 449 = -5*h. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90839*j = 90837*j - 22 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + 3 - -2*(-35)\/(-14). Let l(t) be the third derivative of -1\/60*t**5 + v + 0*t**4 + 0*t**3 + 0*t + 5*t**2. Let h(a) = -2*a. Determine l(h(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -852 = -4*n - 3*y - y, -5*n + 1086 = -2*y. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164450 times -406\nAnswer: 66766700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22282 and -0.19.\nAnswer: -22282.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - 89?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 278205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Suppose 5 = 2*f - 13. Solve -p*z = -f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1*(0 + 3 + -10). What is the second derivative of -1470 + 7*z + 1473 + 35*z**2 + g*z wrt z?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 o when four letters picked without replacement from uouuuuuuuuuuuuuuuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9955399l to millilitres.\nAnswer: 995.5399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/w**0))\/((w*w\/w**(-16))\/w))\/(w*w*w\/(w\/(w**(9\/7)\/w)*w)*w*w*w*w*w*(w**(5\/14)*w)\/w) assuming w is positive.\nAnswer: w**(-345\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/928 and 47\/24244.\nAnswer: 193952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4936800 and 1600.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 3890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 53 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 3 = -5*j + 3*f, -2*f = 4*j - 56. What is the remainder when 317 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k - 159 = -f, 0 = -3*k + 5*f + 159. Do 54 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-104) + (-22)\/26?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b - 13. Let k be q(2). Suppose -x = x + k*x. Solve 3*p - 12 = -3*w, 2*w + x*w - 8 = 4*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 7 + 1 + 17*x**2 - 14.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*w = 326 - 98, i - 258 = 5*w. What is the highest common divisor of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, z: 5, i: 4}. What is prob of sequence iiz?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1760083*g. Let r(w) = 4*w**2. What is l(r(m))?\nAnswer: 7040332*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/9*(-897)\/(-7176)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -9. Let n = k + 13. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11253 and 372.\nAnswer: 45012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.30245 - -0.50103. Let u = 0.1 + -3.9. Let s = d + u. What is s rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2)\/w)\/(w\/(w*w**(2\/3)\/w)))\/(w**1)**(-3\/25))**(5\/6) assuming w is positive.\nAnswer: w**(-241\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 12. Let k be z(-10). Calculate the common denominator of k\/(-80)*90\/(-4) and 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -7\/6*w**3 - 146*w**2 - 7\/60*w**5 + 0 + 1\/3*w**4 + 0*w + 1\/120*w**6. Give c(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**3 + 5*n**2 - 2*n + 2. Let g(r) = -r**3 + r**2 - r + 1. Give -b(x) + 2*g(x).\nAnswer: 5*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*0.06193.\nAnswer: 0.92895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*r + 2*s - 4, -5*s = 0. Suppose 4*p = -14 + r. Do 0.1 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 15*c**2 + c + 16. Calculate i(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwra when four letters picked without replacement from tnrwcnwwnacn.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 (base 12) in base 5?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 5 - m - 3)*(121*m**3 - 720*m**3 + 96*m**3) to z*m + q*m**3 + f + k*m**4 + v*m**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + (-3 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.89055 to one decimal place.\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.15 - -0.1. Let b = 12.689 + -12.389. Sort q, 2, b in descending order.\nAnswer: 2, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3.5. Let g = j - 1. Let w = 22219\/7 + -3175. Which is the third biggest value? (a) w (b) g (c) 1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 76909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 23*c - 11 = -19*c, c = 2*r - 11. Solve 0 = 15*k - r*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/54)\/(90\/(-108)))\/(150\/1890*21)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -1\/4, -13, 200 in descending order.\nAnswer: 200, 0.08, -1\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:54 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/(-12) + 4 - 177\/(-6). Solve 5*i - 4*u - 31 = -0*u, -f = -3*i + 5*u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) 0.4 (c) -16\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/9 and -101\/2532?\nAnswer: 7596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1898654.248 to the nearest 100.\nAnswer: -1898700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (924\/165)\/((-462)\/1980) + -7\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*j = -0*u - 4, -4*u + 2*j - 2 = 0. Let k be ((u\/2)\/(23 + -21))\/2. Solve z = -4 + 2, k = -w - 5*z - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10327993.504 - 10328072.50400073. Let t = l + 79. Round t to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 - 2798*t + 47624. Determine h(17).\nAnswer: -1387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -54823019.\nAnswer: 4\/54823019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/3 - 62*f**3\/3 + 74*f**2 + 622*f\/3 + 340\/3 = 0.\nAnswer: -34, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/41 or -0.3353?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -227, -2\/573, 20\/13?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13176069 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 15*y - 1343 = 0. Let v = -18 + 29. What is the remainder when y is divided by 2\/v + 654\/33?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4\/4 - 109*b**3\/2 + 9713*b**2\/4 + 35483*b + 99528 = 0?\nAnswer: -8, -4, 87, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 3:08 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1001619, 2003236, 3004853?\nAnswer: 4006470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -130*k - 440. What is p(3)?\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**4 + 1854550*a**3 + 171965930565*a**2 - 343937424800*a + 171969639680 = 0?\nAnswer: -185456, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -34\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28bbb (base 12) to base 8.\nAnswer: 157277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4224, 4228, 4228, 4218, 4192, 4144, 4068?\nAnswer: 3958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180513187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**0*j))**(-1\/3))**(-3)*j**(-3\/2)\/j**2*(j*(j*j*j*j**(-3)\/j)\/j*j)\/j**(-1\/4) assuming j is positive.\nAnswer: j**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 588 - 2 - (1\/1)\/((-17)\/(-102)) and 290?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, p: 3}. Give prob of picking 2 p and 2 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -4187083?\nAnswer: 4187078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 = -v, q = -3*v - 4*q + 5. Suppose 0 = -4*x - 8, v = h - 2*h + 4*x + 10. Suppose 0*n - n = h*n. Solve n = -t - t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5065.\nAnswer: 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/8 + (0 - -1). Suppose 0 = 2*n - 2*m + m - 19, -r*m - 7 = -n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 110 - 115, 0 = 2*d - 2*q + 214. Are -108 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + z + 1. Let f(v) = -17*v**3 - 8*v - 6. Suppose -5*p + 83 = -x + 64, -9 = -x - 2*p. Determine x*f(n) + 6*g(n).\nAnswer: -11*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 + -2)\/2)\/(11 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48\/119 - 2\/17. Let x be (4 - 6)*(6\/((-24)\/(-14)) - 3). Which is the closest to -2? (a) x (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t = -12, -x - 6 = -2*t. Let r = -67 + 68. Suppose -4*q = -3*q - 4. Solve q = 2*j, x*u + 2*j + r = 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyckyzy. What is prob of sequence yzyz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5 + 1, 0 = -t - 2*j + 62. Suppose -t*g = -75*g + 600. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -62 (b) -1\/18 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 4*m + 4. Let t be f(4). Suppose 0 = t*b + 20, -s + 28 = -2*b - b. Solve -d = -2*a - 6 + s, 3*d = -2*a - 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*j + 3*j**2 - 19*j)*(4*j - 4*j - j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + i**3 - 3*i + (i - 772 + 6266*i**2 + 470 + 303)*(-2*i + 5*i - i) to y*i**3 + l*i**2 + r*i + x and give y.\nAnswer: 12533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5617 is divided by 573.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**4 + 2*t + 4. Suppose 0*z = 2*z + 8. Let m(j) = 2*j**4 + 2*j + 3. Let n(k) = z*m(k) + 3*f(k). What is the second derivative of n(i) wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) -3 (c) -373 (d) -2\/27 (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 143, 265, 387, 509, 631?\n\"Answer: 122*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*u - 2*u - k, 2*u + 3*k + 11 = 0. Solve 3 = u*r + 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 14. Suppose 0 = -6*v + 2 + 112. Let l be h(v). Solve c + l*t + 0*t - 14 = 0, 5*c - 18 = t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/18)\/(56\/84).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/172921740 and 29\/11528116.\nAnswer: 172921740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/24 + 33*j**2\/2 - 24*j. Let k(l) be the first derivative of g(l). Let y(m) = 2*m. What is y(k(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + 10b1?\nAnswer: 109c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*g**3 - 62 + 62.\nAnswer: 261*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*u - 37*u + 15*u + 12 + (-u - 3*u + u)*(2 - 1 + 0) as v + k*u and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/30*(3 - (-72)\/(-20)). Let p(s) = -2*s**3 - s**2 + 2*s - 1. Determine p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 20 (c) -2 (d) -1 (e) 5\/7 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 24 = -126 + 31. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(315\/(-12))*-7*(-35)\/(-630)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-666)\/(-555))\/(1\/(-5)). Let f(h) = -2*h**2 - 10*h + 3. What is f(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 746*v**2 + 30566*v - 813. Calculate g(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 8. Let v(o) = 5*o + o**u + 7*o - 5*o + 2 + 4*o. Calculate the least common multiple of v(-11) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 451*r + 2835 + 3092 + 387 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-10) - 3*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/12 + i**4\/8 + i**3\/6 + 3*i**2. Calculate l(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17049100583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21678471 is divided by 1037?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 789 divide 13570645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 2, m: 1, f: 1}. Give prob of picking 1 i, 1 m, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1143 and 2032.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -37*t**4\/24 - 4*t**3\/3 - 201*t**2. Let y(b) = 12*b + 3. Determine 3*p(f) + 8*y(f).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89572723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2\/7, 0.2, -314, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248, -349, -448, -545, -640, -733, -824?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/4*2\/(-6). Suppose 8*k = r*k - 4*j - 77, -5*k + 5*j - 50 = 0. What is k rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9602.51349 rounded to 1 dp?\nAnswer: 9602.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/210*1*-5. Which is the second smallest value? (a) l (b) 0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 23. Let g be 5 - (r + -13 - -3). Suppose -t + 0*t + 95 = -5*o, -5*o = 4*t - 355. What is the greatest common divisor of t and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16491 and 64587.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r + 73*r - 201 = -24*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/49? (a) 0.1 (b) -7 (c) -2 (d) 0.408 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 + 5 - (55 - 38) - -5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2468856 from -0.905.\nAnswer: -2468856.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -25. Is 13 a factor of ((-6)\/(-9) - 0)*l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 106*u + 1. Let b(x) = 20*x**2. Give r(b(a)).\nAnswer: 2120*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 14*b - 4. Let g be 2*((-130)\/4)\/5. List the prime factors of w(g).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 0.5. Let n = 0.5 - 3.5. Let s = -3.3 - n. Is k greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/12 - 8*v**3\/3 + 36*v**2 + 70*v. Calculate the remainder when s(-18) is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 7*t**2 - 4*t - 13. Calculate the remainder when 35 is divided by k(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -11*c + 45045. Suppose -126*t + c = -123*t. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173 + 193. Suppose -322*i = -327*i + z. What is the third biggest value in -0.5, i, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*l - 36. Solve -m + 10 = 2*p, -l - 3 = -4*p - 3*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*u + 5*d + 460, 4*u + 5*d - 950 = 0. Let p = -163 + u. Suppose -p = 2*l - 10*l. Calculate the greatest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105.4 * -13.\nAnswer: 1370.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/402 and -40\/1407?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 20045 + 9144. What are the prime factors of n?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/5 - (-3140)\/(-25). Let u = i + 37. What are the prime factors of (1 - 2)\/(4\/u)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 17 - (16 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 689 = 14*r - 16*r, -l + 709 = 2*r. Suppose -13*k - r = -21*k. Suppose 5*f - 55 = -0*f. What is the greatest common divisor of f and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*t**3 - 9*t - 2 + 198*t**3 - 387*t**2 + 11*t - 94*t**3 to h*t**2 + u + s*t**3 + b*t and give h.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79663, 79654, 79637, 79612, 79579, 79538, 79489?\nAnswer: 79432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 860 + -79.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1865*x + 27971. Determine h(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfhifpizpfzpi. Give prob of picking 1 p and 2 f.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 46, 18, -40, -134, -270?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0*u + 3*u - u + 2*u. Let m(g) = g**3 - 5*g**2 + 2*g. Let c be m(5). Let w(h) = 168 - 168 + c*h. Determine f(w(t)).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144335 is divided by 36069.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i - s + 41 = 0, 97 = 4*i - 3*s. Suppose 4*j - i = l - 2*l, 4*l - j - 20 = 0. Calculate the remainder when 11 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29198725 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/817742 and -99\/2842.\nAnswer: 40069358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 91 + 496 + 4*a - 59 + 14 as b + h*a and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 26*j**4 + 3*j**3 + 3*j**2 - 24. Let h(b) = b**4 + b**3 + b**2. Let s(x) = -3*h(x) + i(x). What is the derivative of s(t) wrt t?\nAnswer: 92*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341910 is divided by 1012.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004330.6 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h + h**2 - 4*h + 18 + 6*h. Let f be i(-9). Solve 2*o = -f*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6181538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0*l**2 + 6*l**2 - 30*l - 7*l**2 + 28 - 3*l. Does 9 divide w(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6923900 rounded to the nearest ten thousand?\nAnswer: -6920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, -20, -5, 18, 43, 64, 75?\n\"Answer: -s**3 + 13*s**2 - 31*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -66, -113, -160?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24\/14461? (a) 0.1 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 - -12)*14130\/(-8478).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwop when four letters picked without replacement from {p: 1, o: 1, y: 1, w: 9}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 154010 + -4?\nAnswer: 154003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1225 + p - 600 - 671.\nAnswer: p - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21691379 rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 11 - 18*l**3 - 5*l**2 + 21 + 3*l - 4. Let v(y) = 9*y**3 + 3*y**2 - 3*y - 14. Let o(c) = 3*a(c) + 5*v(c). What is the derivative of o(s) wrt s?\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14\/5, 5, 3336?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5078, -765.\nAnswer: -5078, -765, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(136)\/sqrt(8) + 0 + sqrt(17) - sqrt(204)\/sqrt(48).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 594, 1235, 1956, 2757, 3638, 4599?\n\"Answer: 40*a**2 + 521*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/7, 3, 7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + 342\/38. Let g be 7\/((-105)\/w) - (-10)\/(-3). Which is the closest to 1\/4? (a) g (b) -5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 460 and 4002?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8429 - -11818. List the prime factors of f.\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 932 (c) 4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from gppgpgppppppgppgppp?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -199\/4 - -48. Let t be (-44)\/6 + 4 + (-2)\/(-6). Which is greater: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/15 - (-34)\/(-10). Let p(b) = b**2 + 2*b. Let s be p(x). Let r(l) = 9*l - 1. What is the tens digit of r(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8558040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2983626 to the power of 1\/2, to the nearest integer?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250686.\nAnswer: 2, 3, 19, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u + 40. Let y = -6 - -6. What are the prime factors of c(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 974, -426, 2, -62, -5 in increasing order.\nAnswer: -426, -62, -5, 2, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*s**3 + 3 + 25*s - 107*s + 26*s + 2 - 2*s**2 + 51*s in the form g*s**3 + a + x*s**2 + q*s and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75006 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153627068 to the nearest integer?\nAnswer: 12395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, 0, -4, -1\/8 in descending order.\nAnswer: 8\/7, 0, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 84337, 84320, 84283, 84220, 84125, 83992, 83815, 83588?\n\"Answer: -n**3 - 4*n**2 + 2*n + 84340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6628 + 6563 - (-20 + 1 + -1).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 8 = 2*c. Suppose 4*r + 25 = c*q - q, 0 = 3*q - r - 22. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 11*s**2 + 9*s + 1. Let p be m(-10). Let j(t) = -23*t - 2. Let y be j(-2). What is the highest common divisor of y and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9435494ml in litres?\nAnswer: 0.0009435494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - h**3 - 3*h**2 + h + 2.\nAnswer: (h - 2)*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(102)\/sqrt(6)*1)**2) + 5.\nAnswer: -12 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + 0.42. Suppose -16 = -6*h + 2*h. Let p(i) = -i**2 + 5*i - 4. Let w be p(h). What is the nearest to w in a, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 56, 2, 6, 36 in descending order.\nAnswer: 56, 36, 6, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -313163*1\nAnswer: -313163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 15634*z**3 - 5*z**2 + 59*z - 172. Is h(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -406*p**3 + 185*p**3 - 1473*p**3 + 1488*p**2 - 546*p**2 wrt p?\nAnswer: -10164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 4. Let u be k(3). Suppose 0 = -3*q + 28 - 4. Let b = u + q. Solve -12 = -4*a - 5*y + b, -2*y - 14 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-10))\/((-15)\/225). List the prime factors of (-6)\/(408\/705 - o\/(-10)).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4.6. Let w = -11.8 + 12. Sort i, -1, w in descending order.\nAnswer: w, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2*o**5\/5 - o**4 - 10*o**3\/3 + 6*o**2 - 36. Determine d so that z(d) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 435.8 * 0.24.\nAnswer: 104.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 22. Suppose 1168*h - 1137*h - 62 = 0. Is n bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 - -3)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2 and -27\/1759685.\nAnswer: 3519370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p. Let k = 16 - 4. Let q = k + -9. Let w(g) = q*g**2 + 2*g**2 - 7*g**2. Determine s(w(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 + -91. Find the second derivative of 27*i + 29*i**4 - w*i - 16*i wrt i.\nAnswer: 348*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 13*n - 25 = 0. Suppose -n*y + 128 = 18. Let q = y - 14. Solve 0 = j + j - q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 285212\/2365 + 7\/2365. Is l at most 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjopzzijojjojpijjs. Give prob of picking 1 j, 1 z, 1 s, and 1 o.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/((-264)\/400))\/((-2)\/3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 160\/(-64)*2 - 133*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -f + w + 20, -2*w = -4*f + 24. What is the greatest common factor of 232 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258914 + q - 515234 + 258294.\nAnswer: q + 1974","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from {z: 11, b: 1, v: 3}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.16483991 rounded to 2 dps?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*48\/180*(-15)\/2. Find the first derivative of 10*z + s*z + 6 - 3*z**2 - 21*z - 38 wrt z.\nAnswer: -6*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 35*k**2 + 6*k - 7. Let s = 60 - 53. Let i be h(s). Suppose -2*r + 6*t + i = 2*t, 0 = 2*r + t - 1755. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17136 + 8736 = -1232*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -125. Let w(r) = -4*r**2 + r**3 - x + 3*r - 3 - 1 + 13. Let y = 5 - 1. Calculate w(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = -44. Suppose -638*u + 5 = -644*u + 53. What is the least common multiple of u and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 smaller than -11\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031646672.\nAnswer: 2, 3, 7, 389, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -1\/5, -3\/2, 14, 6, -1, 4.\nAnswer: -134, -3\/2, -1, -1\/5, 4, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28626 is divided by 66?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.157 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90936 is divided by 358.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y**2 - 1. Calculate u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 at least as big as 105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -101?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 5*n - 3*n)*(0 - 3 + 4)*(-616*n - 97285 + 97285).\nAnswer: 616*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1104153, 2208308, 3312463, 4416618?\n\"Answer: 1104155*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 653610 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 3240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, -8, 4 in increasing order.\nAnswer: -8, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwdfdddwwdwdwdf. What is prob of picking 1 d and 2 w?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/3)\/(4\/12). Let j = a + -3. Let f be j\/1 - (8 - 5). Sort -2, f, 4.\nAnswer: -2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in 119, 0, 2?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6)\/((-6)\/(-99)). Let l = k - -302. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 6:54 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2432 by -213.\nAnswer: -2432\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 0.437, -19 in decreasing order.\nAnswer: 5, 0.437, 0.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/52 and -43\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 8*w**2 - 9*w - 6. Let y be f(-9). List the prime factors of 97\/4*y*(-32)\/24.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (88\/(-32) - 10\/8)\/((-34)\/78982)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -877952\/5 + 2\/15*m**4 + 30*m**3 + 11096\/5*m**2 + 773984\/15*m = 0.\nAnswer: -76, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11349892 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -18. Suppose -3*k - 21 + 18 = -4*p, -p - 2 = 2*k. Put x, -4, 0, k in decreasing order.\nAnswer: x, 0, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/4*x**3 - 3\/2*x**2 + 0*x + 9\/4*x**4.\nAnswer: 3*x**2*(x - 1)*(3*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-201)\/(-7) + 13 + 1152\/(-84). Solve -d*x + 7 = -133 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 12. Let d be (-63)\/28 + 2\/8. Let m(h) = -3. Let n(k) = d*c(k) + 9*m(k). Let w(s) = 5*s - 7. Calculate 9*n(p) - 4*w(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**3 + 9*h**2 + h - 6. Let w = 13 - 8. Let p(c) = 5*c**3 - 8*c**2 + 5. Let j(n) = w*p(n) + 4*x(n). Determine j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 47*r**3 + 3*r**2 - 8. Let w(p) = 6*p**2 - 2. Give -q(f) + 4*w(f).\nAnswer: -47*f**3 + 21*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210401 (base 5) to base 12.\nAnswer: -4054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 61*q**3 - q**2 - 47*q - 4. What is the hundreds digit of b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwweiwfiifwiii. Give prob of sequence eif.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 69. Determine d(-29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -2.6, -15, -1\/7, 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*v - 5*i - 35, 0 = -5*i + 5. Let o be (v\/4)\/((-2)\/4). Let t = -84 + 84. Solve t*c = o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 58 = 4*o, 3*w + 78 = 5*o. Let h = o - -178. What are the prime factors of h?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/267 and -10\/267.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1566189, -1566190, -1566191, -1566192, -1566193?\n\"Answer: -j - 1566188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -220450900*h**4 - 88636154.\nAnswer: -881803600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1560 and 9360.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2387756 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4 = -13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.441344 to 2 decimal places.\nAnswer: -58.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*u + 32, 0 = 5*h + 3 - 18. Suppose 0 = -0*y + u*y - 80. Calculate the remainder when 70 is divided by (-1)\/2*-3*y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -14*r**2 + 2429*r - 3613. Calculate h(172).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/140 + 3*s**4\/28 + 4*s**3\/7 + 10*s**2\/7 - 376*s. Factor p(r).\nAnswer: (r + 2)**2*(r + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -8828718218235.\nAnswer: 8828718218235.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82475 and 575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:13 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 82 - 2. Sort 0, k, -4 in descending order.\nAnswer: 0, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 34*b - 146. Determine m(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 3 + 2 + 3 + 1. Let f be z(0). Let i(n) = 3*n**2 - n + 3. Let t be i(f). What is the greatest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4330388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*n - 284 - 2*n**2 + 28*n + 5*n**2 - 2*n**2 to the form k*n**2 + f + p*n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 4 - 4)*(-2935*p**4 + 790*p**4 + 912*p**4)*(4 + 2 - 4).\nAnswer: -4932*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a - 4*a - 3*a + 2*a - a. Let h(i) = 10 - 5 + 4*i - 5*i. Calculate h(o(z)).\nAnswer: -z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 31*v**2 + 44*v + 49. Let k be o(-24). Let b = -6252 - k. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5 (c) -33 (d) 0.143 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v**3 + 5*v**3 - 3*v**3)*(0 - 8*v + 9*v - 3) to s*v + d*v**2 + p*v**3 + t*v**4 + f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**7\/70 + v**6\/20 + v**5\/20 - v**4\/4 + 7*v**2. Factor w(u).\nAnswer: -3*u*(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -107915587?\nAnswer: 107915591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-16)\/48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*((-1702)\/(-69) + -18).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2. Let f(n) = 5 + 6*n**2 - 5 - 44*n**2. What is f(l(u))?\nAnswer: -342*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0*j**3 + 8*j - j**3 - 114*j**2 - 6 - j**3 + 3*j**3 + 108*j**2. Let f be (1\/2)\/(2\/20). Determine u(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/(-42))\/((-1)\/(-77)). Let l = f + -33. Is l*(25\/(-3))\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -28585 and 38\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-1)\/(-2) + (-10079842)\/2428. Which is greater: -4150 or q?\nAnswer: -4150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 213 = -81*o - 3*w, 0 = 4*o - 3*w - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46659.\nAnswer: 3, 103, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 - -115. Solve 2*u - q = 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -8*h + 12*h. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 708362, 708354, 708332, 708290, 708222, 708122, 707984?\n\"Answer: -y**3 - y**2 + 2*y + 708362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)\/a)**(-3\/7)*a**(-4)\/a*a*a**(-6\/11) assuming a is positive.\nAnswer: a**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3765*r*w - 30821*w wrt r?\nAnswer: -3765*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.204926 + -109125931\nAnswer: -109125931.204926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 6*d + 40, -517*c = -514*c + d + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/45 - (-3)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = 25*n - 744. Let f(p) = 32*p + 27*p + n - 56*p. Let a(c) = -c. Calculate f(a(x)).\nAnswer: -3*x + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 1. Let t(u) = -5*u + 3. Let i be (-2)\/8 + (-26)\/(-8). Let v(b) = i*c(b) - t(b). Let n(a) = -19*a + 2*a - 4*a + a + 13*a. Calculate n(v(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49842695 to the power of 1\/2, to the nearest integer?\nAnswer: 7060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 17833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004017 rounded to 5 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 27*p**2 - 10*p + 82. Calculate the least common multiple of 10 and r(-27).\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7119, -28553, -64277, -114291, -178595, -257189, -350073?\nAnswer: -457247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 190*z**2 - 44*z + 184. Let v be s(6). Calculate the highest common factor of 160 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-33)\/o)**19\/((o*o**(-34)*o)\/(o*o*o*o*o**28*o)))**7 assuming o is positive.\nAnswer: o**(-4067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 23*s + 35. List the prime factors of g(-17).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 2*h**2 + 4*h + 4. What is p(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 3*o. Let g(u) = 5668*u**2. Give i(g(a)).\nAnswer: 96378672*a**4 - 17004*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4205.221575 rounded to the nearest 10?\nAnswer: -4210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 203 (b) -2 (c) -0.1 (d) 187 (e) 0.5 (f) 3 (g) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = 18*r - 5*r, 2*l + 10 = -r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 z when four letters picked without replacement from ejjjgezgazgagaagezge?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 6:01 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 4, 97, 1 in descending order.\nAnswer: 97, 4, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2 + 22*g + 7. Let d(k) = 2*k**2 - 7*k - 2. What is 7*d(n) + 2*r(n)?\nAnswer: 2*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -88*f**2 - 1. Let p be t(-1). What is the common denominator of -49\/2 and (8 - p)*2\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-8 - (-2 - -1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52748.7754 and 5.\nAnswer: -52743.7754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*l - 1562 = -646*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1396, 2871, 4400, 5983, 7620?\nAnswer: 9311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 1, c: 3, r: 1}. Give prob of picking 1 l, 1 c, and 1 y.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 914552863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2400002023 (base 5) to base 11.\nAnswer: -30a5a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**7\/840 + i**6\/60 - i**5\/24 + 7*i**4\/24 - i**3\/3 + 9*i**2. Let q(n) be the first derivative of k(n). Give q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/1)\/(-4 + 3). Let y(m) = 0*m**2 + 4*m**2 - 2*m**h. Let o(s) = 17*s. What is y(o(g))?\nAnswer: 578*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/3 - 21*b - 31569. Suppose -3*z - 2*z = 0. Give v(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14947.2285208 and 0.07.\nAnswer: -14947.1585208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 51455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 14*l + 72\/5.\nAnswer: -2*(l - 1)*(l + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 12\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2475933 is divided by 1011.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:17 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12132031444 (base 5) in base 16?\nAnswer: -daa989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*r - 20. Suppose r*l - 3*o = -69, 0 = 4*l - 4*o + 46 + 26. Let y be l\/(-6)*4\/40. Put -5\/4, -0.05, y in ascending order.\nAnswer: -5\/4, -0.05, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)\/(-1) + 5. Suppose 1 = 2*h - 4*y - 1, 2*y + 16 = 4*h. Suppose -x*d + 15 + h = 0. Sort 0.1, d, -1\/2 in increasing order.\nAnswer: -1\/2, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 809407173*y**5 - 389*y**2 + 111898*y?\nAnswer: 48564430380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 754*z + 146.\nAnswer: 754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (1 + -2 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g. Let k(l) = -4*l - 1. Let r(z) = k(z) + 3*p(z). Let x be r(-3). Suppose -x*s = 3*s + 20. Which is bigger: s or -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754548359.\nAnswer: 151, 229, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 + 94. Let j be (-20)\/((-156)\/(-40) + -4). What is the greatest common factor of j and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 + -121. Find u, given that -f - 32*u - 35 + 14 - 4*u**2 - 30 = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**2 + 60. Let d(v) = -v**3 + 4*v**2 + 7*v - 5. Let n be d(5). Let c(y) = 5 - n - y**2. What is c(o(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4935 and 1890?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14217781 is divided by 116.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -m - m. Let d = -6 + m. Solve y = 3*y + d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 4*n + 0*n**2 - 1\/6*n**3 + 0. Let k(f) = 8*f - 2. Let t be (0 + 2 - 3)*1. Calculate t*k(d) - 6*p(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17912, -0.11, 18\/5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5\/7*h**2 + 2*h + 3\/7 = 0.\nAnswer: -1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 10*r**2 + 10*r - 16. Let i be u(8). Let m = -190 + i. Solve m = 3*w + 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(1\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.8, 2, -31107.\nAnswer: -31107, 2, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-4))\/(-3) + (-2)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406188773 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 232478, 464953, 697428?\n\"Answer: 232475*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -c - 1123, d - 3*c - 233 = -0*c. Let r = 226 - d. Solve -r*t = 3*y + 6 - 21, -5 = -y + 3*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6061, -12122, -18183, -24244, -30305?\nAnswer: -36366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 y when four letters picked without replacement from yrrooyryyyr?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21197 - 21194. What is the nearest to -3\/5 in -1\/4, 4\/7, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + -3.98. Suppose 5*r - 1 = -16. Which is the nearest to 1\/3? (a) v (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + i + 0*i - 24 = 0, -a = -3*i + 2. Calculate the remainder when 2*((-540)\/(-8))\/5 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 1, o: 1, z: 2, s: 2, e: 1}. Give prob of sequence zeks.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b = 0. Let u be ((-1)\/(-1))\/(-1)*0. Is b > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53853? (a) 0 (b) -3\/4 (c) 0.7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -44?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*o**2 - 944902 + 944902.\nAnswer: 89*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 0) + 1\/(-1). Suppose 3*n - 63 = -4*r, 2*n - 50 = -4*r - h. What is the remainder when (-15)\/5 - n*-1 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 111 - (-994 - -914).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/47, 1, 3\/8?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7374 + -7373.88349. Let z = 99.884 - 100. Let t = z + y. What is t rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130743688 smaller than -130743687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n + 50*n + 2392 = 0. Does 46 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 6275.\nAnswer: 1\/1255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 28, 29?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4785 and 9179.\nAnswer: -43921515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 1, 12\/5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -324 + 323. Let m = 4 + 6. Put m, a, 0 in descending order.\nAnswer: m, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52\/3 + 17. What is the closest to 0.02 in -5, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.2 (b) -2\/9 (c) -27\/5 (d) 6 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1422 - -1356. Let z = -16.22 - 50.08. Let l = z - t. Sort 3, -2\/9, -0.4, l in decreasing order.\nAnswer: 3, -2\/9, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 469, 1800, 4547, 9220?\nAnswer: 16329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**7\/210 - s**6\/120 - s**5\/30 - 12*s**2. Solve l(b) = 0 for b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 1463 = 1461 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-7 + (-4)\/24*-51). Solve -4 = -9*j + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 - 18*g\/5 + 56\/15.\nAnswer: -2*(g - 1)*(g + 28)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/44697 + -59686\/2011365. What is the common denominator of -109\/558 and m?\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.915397 kilograms to milligrams.\nAnswer: 915397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4680457 rounded to the nearest 1000?\nAnswer: 4680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/x**(-1\/3))**(-23) assuming x is positive.\nAnswer: x**(460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/21)\/(1\/(-6)))\/((-253)\/253)*-11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153499013939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 29.51.\nAnswer: 26.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -12.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 22*a + 119. Let r be t(9). Let c be (r\/(-15)*3)\/((-4)\/50). Solve l = c*d + 22, -2*d = -5*d + 3*l - 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -24. Let j = 11 - f. Suppose -4*x = j*b + 8, -b = 5*x + 24 - 10. Is b != -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = -4*f, 4*f = -f + 3*h - 14. Suppose 7*n - 2*n = 0. Suppose -4*g - 3*z + 4 = n, -5*g - z - 6 = -0*z. Is g bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2276695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1399119, -2798235, -4197351, -5596467?\n\"Answer: -1399116*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1451042106219 - -1468338528124662547\/1011920. Let k = -1\/12649 + o. What is the common denominator of k and 71\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 12 = 4*k. Suppose 0 = 89*o - 34*o + 57 + 218. Sort -1, 5, k, o.\nAnswer: o, k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3554550 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -10110000010?\nAnswer: 10101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 0 + 6 - 4 - 6*z - 5*z**2 + z**3. List the prime factors of m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3631206 is divided by 726237?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51256893061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0383066 + 0.0373. Let f = 0.201 - 0.2. Let x = k + f. Round x to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1615, 1616, 1617, 1618, 1619?\n\"Answer: y + 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134123 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -71. Let q = n - -100. Suppose q = -o - 2*o + 39. Calculate the remainder when 35 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*k - 3027 - 2746 = 0 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -87998380, -175996758, -263995136, -351993514, -439991892, -527990270?\n\"Answer: -87998378*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14250 (base 11) in base 4?\nAnswer: -10330212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1313*a**2 - 24938*a + 158. Give j(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 16) to base 4.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -0.5 (c) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/(-81))\/(-35)*1\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -1211645?\nAnswer: -1211645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157111 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3771 a factor of 29704167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12*39\/29484)\/((-1)\/3)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 42 - 21*t + 57 - 134 + 53. What is r(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/((-74)\/12)*2\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c - 10 + 10 to the form q*c + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*m + 78 = 0. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28 - 1) + 28 - 22) + 29 + 1 + -57?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 19 - 148*a + 151*a - 35.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + 0. Suppose -11*b + 4*a - 103 = -12*b, 0 = 2*b + 3*a - 201. What is the least common multiple of b and t?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -1652306.\nAnswer: 5\/826153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - -1 - (-10 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -7. Suppose -z = -l - 6. What is the highest common divisor of l and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 312775189865741.\nAnswer: 312775189865740.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 340 + 2490. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*o = -90*o + 2*a - 8, -4 = -5*o - 4*a. Solve -g = -2*g + 2*u - 10, -2*g - o*u = -20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 12 = 3*l, -2*f = -26*l + 22*l + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -64. Suppose 2*j - 157 = -h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = 4*z + 69, z + 4*o = -27. Let t = 0.5 + -1. Sort -0.2, -1, t, z.\nAnswer: z, -1, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -70*h**2 + 20. Let c(x) = 10*x**2 - 3. What is -20*c(g) - 3*p(g)?\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, 1, 2?\n\"Answer: f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.659 times -2.2802\nAnswer: 8.3432518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/2)*y)\/y*y**7*y*y*y)**30 assuming y is positive.\nAnswer: y**375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8338786?\nAnswer: 2, 4169393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**2 + y + 5. Let w = 35 - 29. Let q(f) = 6*f**2 - f - 4. Give w*q(g) + 5*h(g).\nAnswer: g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13967?\nAnswer: 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/141, -1, 112?\nAnswer: -10\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, -1\/5, 30 in decreasing order.\nAnswer: 146, 30, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260139859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209\/560 - 3\/112. Which is the nearest to n? (a) 2\/11 (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/120 - y**5\/2 + 9*y**4\/8 + 29*y**3\/3 + 62*y**2. Let r be v(29). Solve r = 4*o - 1 - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 6*d**3 + 26 + 2*d**3 - 2*d - 1581*d**2 - 4*d**3 + 1579*d**2 to x*d**3 + h*d**2 + z + m*d and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 25 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + 2.3. Suppose 4 = -5*p + y, 4*p + 4 = -9*y + 10*y. Which is the nearest to 0? (a) w (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 34, 58, 60, 22, -74, -246, -512?\n\"Answer: -3*a**3 + 16*a**2 + a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/126 and -137\/108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 191*d**6\/120 - d**5\/12 - 7*d**4\/24 - d**3 + 13*d**2. Let b be k(-6). What is b rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -211*i + 7015 + 1847. What is the greatest common divisor of 1120 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151007*t**2*u**3 - 11*t**2 - t*u**3 - 3*t + 2118*u**3 + 2*u**2 - 3*u wrt t.\nAnswer: 302014*u**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495805*a + 5*a**3 + 495805*a.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.1 - -36.10078. Round s to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*p**3 + 15*p**5 - p**4 - 36*p**5 + 19*p**5 + (p + p + 0*p)*(-p**4 - 1 + 1).\nAnswer: -4*p**5 - p**4 + 25*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/4 (b) -5 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**5 + 1656*t**4 + 229620*t**3 + 10813136*t**2 + 20720976*t = 0. What is t?\nAnswer: -138, -137, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5774?\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.224 and 811683.\nAnswer: 811683.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25\/479 - -39207\/10538. Let h = -4862715 - -58279487\/12. Let j = -6084 - h. Calculate the common denominator of k and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1822 = -211*g + 2404 - 389 + 2915 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 11 + 1 = 0, 127*d = -3*z + 650 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -154*x + 3960. Calculate the remainder when 835 is divided by r(24).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451812432.\nAnswer: 2, 3, 9412759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**4 - 5*w**3 - 35*w**2. Let n(r) = -25*r**4 - 24*r**3 - 174*r**2. Let t(z) = -11*k(z) + 2*n(z). Find the third derivative of t(d) wrt d.\nAnswer: 120*d + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408 and 18456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 19, -4, 4 in ascending order.\nAnswer: -6, -4, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11*b - 19. Let u be l(3). Let m be (28\/(-10))\/((-2)\/50). What is the greatest common divisor of m and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -1. Suppose s = u - 4*s - 13, -2*u = -s + h. What is the units digit of 3\/2 + (-1)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 823362.9mm?\nAnswer: 823362900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/15)\/(4\/66)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -76, -290, -652, -1168, -1844, -2686, -3700, -4892?\n\"Answer: -l**3 - 68*l**2 - 3*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -338 + 340. Let r be (-1*1)\/(-3 - 2). Which is the nearest to -2? (a) r (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 + 5.2. Let g = 3 + -4. Which is the closest to k? (a) -2\/9 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, 0, -4, -20, -54, -112, -200, -324?\n\"Answer: -u**3 + 3*u**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -78*d + 4. Calculate p(1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, p: 1, a: 3, w: 1}. What is prob of picking 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + (-12 - 47 - -103).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25256\/140 - (-2)\/5*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1888 and 9558.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-10)*360\/108?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 1, -32, -85, -164, -275, -424?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186 + -194 + (-405)\/(-12)*(-6)\/(-25).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -6*w + w + 62, -m = 4*w - 37. Calculate the smallest common multiple of 3 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083951 is divided by 803?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 42 = -v + 10, -4 = 2*v. Suppose -9*f + l*f = -9. Suppose -184 = -f*u + u + z, -89 = -u + 2*z. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -2\/13, 10\/3, 3\/8 in decreasing order.\nAnswer: 10\/3, 0.6, 3\/8, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m. Let w = 58 + -50. Calculate the lowest common multiple of l(4) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19586718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - o + 4. Let y be (-7 - (-135)\/20) + (-122)\/(-8). Suppose 13*x = y*x + 14. Let h be 1\/((35\/15)\/x). What is u(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 6. Let i(t) = -11*t - 17. Suppose f - 3 - 3 = 0. Let g = 39 + -56. Calculate f*i(v) + g*c(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*10\/440*36\/(-63).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 747, 1690, 3009, 4704, 6775, 9222?\nAnswer: 12045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7. Suppose 0 = -0*w + w - z. Suppose q - 4 = 0, -w*c = 3*c + 4*q - 6. Put c, 4, -5 in decreasing order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0421987 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 849.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14362668.9 rounded to the nearest one thousand?\nAnswer: 14363000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.63 - -1.66. Let w = -1 + 1.03. Let v = w - g. Which is the third smallest value? (a) -4 (b) -2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnnnnnnnsnnn?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 12. Let y(o) = -2. Let f(s) = -l(s) - 6*y(s). Let m(j) = -5*j**2. Determine m(f(r)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/30 - n**4\/8 + n**3 - 4*n. Let a(u) be the second derivative of q(u). What is the first derivative of a(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f - 3. Let y = 131 + 10. Let w = y - 142. Determine q(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 + 15*x**4 - 21*x**3 - 3*x**2 + 24*x - 12 = 0. What is x?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 15*g**2 + 13*g + 20. Let u be c(14). Let x be (0\/(-2))\/(2 - -1). Solve -u*v + 2*v - 12 = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-2\/35)\/(u\/(((u*u\/(u\/(((u*u**(-2\/5)*u)\/u)\/u)))\/u)\/u))**(5\/7) assuming u is positive.\nAnswer: u**(-296\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -25*k**2 + 111*k + 1. Let a(c) = c**2 + 11*c. Give 11*a(m) - y(m).\nAnswer: 36*m**2 + 10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 67*i**3 + 26*i**2 - 149*i + 73. List the prime factors of j(6).\nAnswer: 29, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y. Suppose 3 = 4*a - 3*a. Let o(u) = y - 2*u - 1 - a. Give o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891496437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 1 + r + 25*r**3 - 29*r**3 to c*r + i*r**2 + t + o*r**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - i - 21 + 3*i)*(-i**2 + 0 + 0) + (5*i**3 - 5*i**3 + 12*i**3)*(10 - 39 + 13).\nAnswer: -194*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5\/2)*n)\/n*n\/(n**(-2)\/n*n)*n**4*n\/(n**(-4)*n))**(-5) assuming n is positive.\nAnswer: n**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y. Let f(j) = -216*j + 27. Let c(o) = 31*o - 4. Let h(z) = -27*c(z) - 4*f(z). Give n(h(s)).\nAnswer: -108*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let l be (-4)\/4*(u - 1). Let n be (-3 - -5) + (2 - -3). Solve l*a = n*a - b - 14, a - 3*b = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2453124.293 to the nearest 100.\nAnswer: -2453100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2686833 and 23759?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162572*b*j**6*r - 9*b*r + 2*b + j**3*r - 7106*j**2*r wrt j.\nAnswer: -19508640*b*j**3*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + 5*w**2 + 2. Let y(t) = t**2 + 3*t + 2. Let i be y(-4). Let f = i - 11. Let l(z) = 2*z**3 - 4*z**2 - 2. Calculate f*l(k) - 4*r(k).\nAnswer: -2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85710 + 6673. What are the prime factors of p?\nAnswer: 92383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008503924 rounded to five dps?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 4, a: 3, i: 1, x: 2, s: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*r + 16, 14217*d = 14212*d - 2*r - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 35*l**2 + 1. Let c be u(1). Let v = c + -67. Let w = 55 + v. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1251.\nAnswer: -5\/1251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 bigger than 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 20 = y - a, -a = 0. Suppose 5*r + 15 = 0, 90 = 5*l - 2*l - y*r. Suppose 2*g - 4*v - 48 = 0, -4*g + 2*v + 47 = -l. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2 - 7*s. Let u(g) = g**2 + 3*g - 1. Let p be u(-4). Suppose -p*r - 3 = -6*r, 2 = l - 4*r. Let k(n) = -5*n**2 + 6*n. Give l*m(a) + 7*k(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 54 = -3*p - 6*y, -75 = 2*p + 5*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2 + 2136*f - 2134 = 0.\nAnswer: 1, 1067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 238*d**2 - 85*d. Let x(v) = -17*v**2 + 6*v. What is 6*p(t) + 85*x(t)?\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/3)\/(-14*(-16)\/672). Put u, 0, -11, -4, -5 in descending order.\nAnswer: u, 0, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2) - 3\/(-6). Suppose -p*q + m = -7, -9 = -q + 2*m - 1. Suppose -2*j = q*j - 852. What is j rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, m: 1, z: 11, u: 2}. What is prob of sequence zymz?\nAnswer: 11\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23258 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2 + 1016962*r - 258552927361 = 0.\nAnswer: 508481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 35*p + 36*p = 10, 2*q - 16 = -5*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73, -22, -841, -2936, -6859, -13162, -22397, -35116?\n\"Answer: -92*l**3 + 190*l**2 - 21*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + z**2 + 4*z - 3. Suppose -4*g - 20 = -4*j, -j - 2*j - 5*g - 1 = 0. Calculate h(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40431035 - -40431047.5999621. Let f = n - 12.6. What is f rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35881.079 - 35848. Let f = -33 + g. Round f to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 4*t + 124000. Round t to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170332588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/(-4)*-316*4\/4. Let j = 31964\/9 - q. Find the common denominator of j and (-13 - 3)\/((-44)\/(-14)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -4*n**7\/105 - 4*n**5\/15 - 12*n**2. Find the third derivative of p(a) wrt a.\nAnswer: -192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.077, -2\/5, 0.1 in decreasing order.\nAnswer: 0.1, -0.077, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -330*b**2 - 599*b**2 - 87*b**2 - 1 - 15*b**2 to d + w*b + m*b**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 85*d**3 + 17*d**2 - 17*d - 14. Let h(m) = 28*m**3 + 6*m**2 - 6*m - 5. Determine 17*h(a) - 6*k(a).\nAnswer: -34*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/139? (a) -4 (b) 0.1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8605.671 kilograms in micrograms?\nAnswer: 8605671000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/573796 and -23\/860694?\nAnswer: 1721388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-192)\/672)\/((-2)\/(-14)). Which is the second biggest value? (a) -1838 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/15)\/1*(-17)\/(-6). Is w > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Let s(f) = 2*f**3 - 3*f**t - 4*f + 5*f**2 - 6*f**2 - 3. Suppose 0*v + 4*c = -v + 6, -4*c + 12 = -2*v. What is s(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 10 - (5 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o**3\/8 + 7*o**2 - 57*o\/8 + 5\/4 = 0 for o.\nAnswer: 2\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (7 + (-1)\/(4\/(-180)*-3)). Put 0, -4, 1, -9, w in decreasing order.\nAnswer: w, 1, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 + 46*n**2 + n + 68. Let h be p(-23). Solve 0 = -15*a - h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 47*o**2 + 28*o + 134. Calculate h(-23).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 31. Let v = -57 + 67. Let l be (-1 - -2) + (v - (0 + 2)). What is the highest common factor of u and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3012131 (base 4) to base 12\nAnswer: -7425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*f + 12*f - 57 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 6:12 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7\/4, 1\/12, -3\/4, 581545 in ascending order.\nAnswer: -4, -3\/4, 1\/12, 7\/4, 581545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 1132010?\nAnswer: 1132001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -915 - 5*f + 6*f + 909. Calculate o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4637388 divided by -4637388.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 41. Solve t - 6 = -2*g, 5*g - 8 = n*t + 7 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/10 - 2 - 58\/44. What is the third biggest value in -1\/4, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 3 (c) -3031 (d) -2\/131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, c: 10, p: 4}. Give prob of sequence cpt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x. Calculate g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 2*t + 7*t**2 - 10*t**2)*(4*t**2 + 4*t**2 - 3*t**2)*(0*t - 4*t + 8*t).\nAnswer: -20*t**5 - 40*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j. Suppose 0 = -3*f - j*f - 60. Let a be (-6)\/30 - 44\/f. Solve a = d - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Let f be (1 + -2 - -3)*-2. Let u be (-6)\/4*f\/3. Put n, 5, u in descending order.\nAnswer: 5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8827*c**4 - 12387*c**2 wrt c.\nAnswer: -211848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2682914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 8:41 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*3\/(-18))\/(2\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30711*p - 32362*p + 57433*p.\nAnswer: -5640*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n = 3*j - 58, -2*n = -5*j + 98. Suppose 4*v = v + j. What is the remainder when 22 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/610? (a) 2\/15 (b) -4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 30 = q. Solve 4*k = 2*z - q*z + 16, -3*k = -12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/749 or -1?\nAnswer: -1\/749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 122113 (base 5) in base 11?\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*i**5\/3 - 215*i**4\/3 + 10*i**3.\nAnswer: 5*i**3*(i - 2)*(20*i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/5 + 5*k**3 + k**2 - 4. What is the derivative of y(l) wrt l?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x + 1708 - 656 = -3351. Solve 0 = 28*l - 49 - x for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let u(y) = 11*y - 3*y - 2 + 11 - 9*y. Let d be u(8). What is the remainder when 1 is divided by n(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 8*d + 8. List the prime factors of 93*(1\/d - -1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -1)\/(1*-2). Let k(j) = j - 2*j - j. Let h be k(1). Put t, 3, h in ascending order.\nAnswer: h, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*j + 20. Let m be (-8 - j)*28\/3. Let y = m + -20. Calculate the remainder when y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*i**3*t**3*z - 6684059*i**3*t*z**2 - 14*i**2*t**3*z - 542*i**2*t**3 - 38*i*t**3*z**2 - 7*i*t**3*z - 2*z wrt i.\nAnswer: 138*t**3*z - 40104354*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 216*s**3 - 437*s**2\/2 - 90715*s\/2 + 525 = 0.\nAnswer: -14, 5\/432, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1\/90*w**5 + 0 + 0*w**2 + w - 2\/27*w**3 + 1\/18*w**4. Factor g(f).\nAnswer: -2*f*(f - 2)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -d + 5*w - 7, 0 = d + 3*w - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 d, and 1 v when four letters picked without replacement from ndhdehvehdt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 - (-80)\/36. Suppose y*p - 4*l = 3 + 35, 2*p = -l + 63. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.011 + -2.011. Suppose 62*g = 65*g - 12. What is the biggest value in g, -0.08, -3\/5, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -308101220 divided by 28420?\nAnswer: -10841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1024 - 507. Find the third derivative of u*r - 15*r**2 - 517*r - 16*r**4 wrt r.\nAnswer: -384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6579)\/(-258))\/(9\/(-6))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13190179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*t - 16, 2*i - t - 17 + 10 = 0. Let o be i - ((-18)\/(-6) + -1). Let n be 2\/4 - 30\/(-4). Solve -2*x + 0*x - n = o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1463, 11836, 40019, 94928, 185479, 320588, 509171?\n\"Answer: 1486*i**3 - 11*i**2 + 4*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 + 16325237?\nAnswer: 16325272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 16 - 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g - 3*g. Let h = 27 - 23. Suppose -y = -5*f - 13, -2*f = h*y - 0*f - 52. Calculate the least common multiple of g and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*y = 455*y + 2328 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34999, 29013, 23027?\n\"Answer: -5986*o + 40985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 5)*(-j + 2 - 2).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121 - 232 - 300)*(0*t + 0*t + t).\nAnswer: -411*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1112374\/114 + (-2)\/(-6). Let v = s + -5385. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (18 - (7 + -4)) - 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1490 = 1476*t - 8617 - 3177 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39890867 or 39890868?\nAnswer: 39890867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 27*a - 3*a**3 + 2*a**3 + 44*a**2 - 22*a.\nAnswer: -a**3 + 44*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72457 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Let p be 8\/3 - -4*3\/(-18). Suppose t - 2*t + 9 = 4*l, -15 = -p*l + y*t. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 6:37 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010001000001 - 1?\nAnswer: -1000010001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*h = 6 + 27, -4*h - 12 = 0. Calculate the smallest common multiple of 249\/c + (-1)\/(-7) and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*i**2 + 77*a**3 - 204*a**2*i - 278753*a*i**5 wrt i?\nAnswer: 4*a**3 - 5575060*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 668, 0.0007, -1?\nAnswer: 668","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 + 17501?\nAnswer: 17551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 5*y**2 + 4*y - 2 + 7*y**2 - 3. What is the remainder when 10 is divided by v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 828*o**2 - 23*o - 80. What is the thousands digit of s(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -8*n + 4*g - 4, 4*g + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48103 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71566567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -3, 1, -69\/359?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 63.5, -5, 27, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2. Let c(m) = -69*m + 1518. Let i(l) = -2*c(l) - 1518*j(l). Let r(g) be the first derivative of 2*g**3\/3 - 18. Give i(r(z)).\nAnswer: 276*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2 + 120*x + 2 - 126*x. Let z(g) = -10*g**2. What is f(z(q))?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58212774 divided by 6?\nAnswer: 9702129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)\/m)**49\/(m**(-1))**(2\/11) assuming m is positive.\nAnswer: m**(-1613\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -2*u + 8*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97524 and 17931942.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53166*p + 352 = -53188*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/2, 3, -0.3, -17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + (1 - -1) + -1. Suppose 4*h - u = 5*n, h = 5*n + 2*h - 3. Let p(j) = -16 + 20 - 633*j + 634*j - 14. Determine p(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -12. Let w = t + -4.5. Let c = -3.5 - 0.5. What is the smallest value in w, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*x, -g - 4*x + 0*x = -21. What is the remainder when (130\/(-13) - (-23536)\/120) + (-18)\/135 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 5210160.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 147?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 f when three letters picked without replacement from {g: 1, f: 4, w: 8}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 951 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 1. Let r be t(6). Let x(z) = 16870*z**2 - z - 5. Let l be x(r). Let f = 258746 + l. Round f to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 759, 1495, 2203, 2871, 3487, 4039, 4515, 4903?\nAnswer: 5191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 108*r**4 - r**3 - 2*r**2 - 10*r - 20. Let u(j) = -j**4 - j**3 - 2*j**2 - j + 1. Let g(x) = u(x) - v(x). Find the second derivative of g(n) wrt n.\nAnswer: -1308*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 - -235. Let o = v - 31. Let u = o + -64.61. What is u rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5750384 - 320360. Suppose p = -10*u + 342024. What is u rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p - 5. What are the prime factors of m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g + k - 27, 2*k + 56 = 5*g. Let o be (1*-3)\/((-5)\/g). Suppose 3*n + 2*p - 14 = 0, 3*p - 12 = -3*n + o. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -3222133010?\nAnswer: 3222133010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**3 + p**2 + 4*p - 10. Let o(z) = 15*z**3 + 3*z**2 + 8*z - 20. Let s(j) = 13*h(j) - 6*o(j). Let f be s(5). Solve -2*q = f - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5592 and 16484284?\nAnswer: 98905704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 312 - 453 - (1 + 7 + -27)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o + 68*o - 11452 = -371*o for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/120 (b) 26 (c) 0 (d) -123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14446 by -233.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -449 + 468. Let h = 160 - 86. Calculate the remainder when h is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d**2 + d**2 + d**2.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**3 + k - 1. Let a(v) = v**2 - 5*v + 7. Let i be a(3). Calculate q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:19 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52554\/228 + -243)*(-51)\/5*8\/(-12).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)\/(p*p\/(p*p**(-1\/5))*p)*(p\/((p**(-1\/4)\/p)\/p*p))**(17\/2)*((p\/p**(1\/2))**(-1\/4))**(-7) assuming p is positive.\nAnswer: p**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -12020?\nAnswer: -12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -8. Suppose -3*g = -0 + q. Let k = -56 - -55. What is the second smallest value in 1, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1196473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4203.44116 to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 9*n**2 - 6*n + 2. Suppose 48*v + 204 = 99*v. Determine q(v).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v + 69. What is the remainder when 37 is divided by c(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cick when four letters picked without replacement from {u: 5, i: 2, e: 2, c: 9, k: 2}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = o - 10, 3*l + 3*o = 422 - 401. Suppose -5*r = 12 + 13. Let v = 6 + r. Sort l, v, 35.\nAnswer: v, l, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (84 - (-104 + 67)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/((-126)\/203)*6. Suppose -j*v + 85*v + 924 = 0. Calculate the highest common factor of v and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11155.54 rounded to the nearest one hundred?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 457, 1786, 3989, 7072, 11041?\n\"Answer: z**3 + 431*z**2 + 29*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-16) - 16\/48.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 16. Let j be 13\/w - (-5)\/(45\/6). Let a = 5 + -4.6. Sort a, -0.1, j in decreasing order.\nAnswer: a, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -7\/60*i**5 + 0 + 0*i**4 + 1\/60*i**6 + 0*i + 0*i**3 + 8*i**2. Find the third derivative of b(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 2:46 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n - 9*n + 28*n - 7*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u - 11. Let n be s(-3). What is the nearest to 2\/9 in n, 2\/5, -2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4403529 divided by 2379.\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2*n**3\/3 - n**2\/2 - 1250*n + 19. Let l be q(0). Round l to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s - 5*s)*(-s**2 + 2*s**4 + 3*s**2 + 2*s**4).\nAnswer: -16*s**5 - 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 296026833 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by -360.\nAnswer: -113\/360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*40\/15*(-1)\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 7:29 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-21)\/(-3) - 1. Let a be 4\/f*(-5 - 5). Solve -19 = 5*x + 2*s - 5*s, 5*x - a*s = -17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178 divided by -255\nAnswer: -178\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 20 = -l + 2*i, 0 = -l - 3*i - 10. Let j be (12\/(-8))\/(3\/l). Let z = 3 + 0. Solve -j*p + 4 = -z*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -459 divided by -309\nAnswer: 153\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 4*l + 96 = 0. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 9*u - 8. Let o be s(10). Suppose 2*x - o = 4. Let g = -1 + x. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + -5. Let o be (-3)\/l - (-237)\/12. Let v = 21 - 13. What is the highest common factor of v and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9968 = -4*u, -6*p - 7472 = -9*p + u. Calculate the highest common factor of p and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -1\/2, 3, -3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 338 + -333. Let d be (-4 - -2)\/(8\/(-20)). Let u(w) = -w**3 + 7*w**2 - 5*w - 6. Let z be u(d). Solve -c*p - z = -4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d + 195. Let u(j) = -19*j**2 - 1360. Determine t(u(o)).\nAnswer: 114*o**2 + 8355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 12*v**2 + 13. Let u(j) = 2*j**2 + 2. Let b(w) = 6*m(w) - 39*u(w). Let i(d) = -d + 1. Let t(o) = o - 2. Let c(g) = -2*i(g) - t(g). Calculate c(b(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (222\/(-20))\/(-54 + 18 + 33) - (-21)\/(-7)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63612508 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15*(-40)\/(-16).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 15. Let k be o(-13). Solve -k*u = 3*t + 12, 2*u + 3*u + 23 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 7*g**2 + 97*g + 8. Let j be s(-7). Suppose -u - 3*c = j, 2*u + 3*c = 2*c - 5. What is the nearest to u in 8, 1\/2, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**2*n**1*n\/n**(-1)*n*n\/(n*n**(-4)*n*n)*(n*n**(1\/3)\/n*n\/n**0)**(-18) assuming n is positive.\nAnswer: n**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45.7 - -201921470.\nAnswer: 201921424.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - t**2 + 5*t + 8. Suppose -2*f + 10 = 0, -h + f - 13 = -5*h. Let v(z) = 1. Let c(w) = h*g(w) - 22*v(w). Factor c(a).\nAnswer: -2*(a - 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 63*n**3 - 742*n. Let l(t) = 2*t**2. Calculate f(l(y)).\nAnswer: 756*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -7.5 (c) -13 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -2\/3*h**3 - 1\/4*h**4 - 4 + 2*h**2 + 0*h. Determine g(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 + 166. Let s = -0.1 - -0.1. Sort s, 5\/3, z.\nAnswer: s, 5\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/27, -4, -0.053, 6, 0.2 in descending order.\nAnswer: 6, 0.2, -1\/27, -0.053, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**6\/90 - a**4\/12 - a**3\/2 + 40*a. Let d(t) be the second derivative of j(t). Calculate d(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let m(a) = 60*a**3 - a**2 - a. Let w be m(u). Let h be (-3)\/(-5) + 18\/w. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007709009285 rounded to seven dps?\nAnswer: 0.0007709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4602 (base 13) in base 14?\nAnswer: -3804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-215*v + 105*v + 109*v - 41)*(-3 + 5 + 2)*(-6 + 4 + 1).\nAnswer: 4*v + 164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10243?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + ((sqrt(68) + -5*sqrt(68) + sqrt(68))*-4 - sqrt(68)) + -1*sqrt(68)*-4)\/(-5*(sqrt(5184) - sqrt(36))*-6).\nAnswer: 8*sqrt(17)\/495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 940457 < 939902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 5*u + 36. Determine g(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - v)*(v - 3*v - 3*v) + 0*v**2 + 3*v**2 + 3*v**2 + v**2 + 5*v**2 + 0*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiii. What is prob of sequence ia?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 415, -7?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5857*t**2. Let x(u) = -2*u**2. Determine z(x(d)).\nAnswer: -23428*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7 - 3*o**2 - 4*o + 207*o**3 - 421*o**3 + 215*o**3. Let l be (8 - 1)\/1 - 2. What is the remainder when q(l) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*y = -482 - 1688, -i + 530 = 5*y. Let x be 10\/(-55) - i\/(-429). Which is greater: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, h: 2, e: 2, f: 1, d: 1, o: 6}. What is prob of picking 2 o?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/81*(-1)\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 9*k + 4*k + 8 - 8 - 7*k + (-4*k - k + 4*k)*(1 + 1 - 4) in the form j + v*k and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 10 - (-3 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244172.\nAnswer: 2, 7, 80149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/11)*f**5*f*f)\/((f*f*f**(8\/11))\/f**(-27)) assuming f is positive.\nAnswer: f**(-247\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2)*c*c*c\/(c\/((c**(-1\/8)\/c)\/c))*c)\/(c**3*c*c**(6\/5)) assuming c is positive.\nAnswer: c**(-193\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + h - 4. Let s be (7 + 0 - 20 - -12)*5*-1. Let o(p) be the first derivative of p**3 - p**2\/2 + 9*p + 1. Determine s*d(k) + 2*o(k).\nAnswer: k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjhhjjjvhhjvnh. Give prob of sequence vh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 65*i**4 + 4*i**3 + 2*i**2 + 103*i. Let g(x) = -x**4 + 2*x**3 + x**2 + 2*x + 1. Let o(c) = 2*g(c) - j(c). Find the second derivative of o(m) wrt m.\nAnswer: -804*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/15 - 3148*x**4\/15 + 2094*x**3\/5 + 1888*x**2\/3 - 12568*x\/15 - 4192\/5 = 0. Calculate x.\nAnswer: -1, 2, 1572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {t: 8, u: 1, v: 1, a: 9, e: 1}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -912 + 1810 - 14*k - 14*k - 919. Calculate b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 29*x + 15 = -32*x, -3*p - 4*x - 7 = 0. What is the closest to -12\/7 in 3\/2, p, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4996*g - 24846. Determine p(5).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113258, -113247, -113236?\nAnswer: -113225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*s = -14, -47 = -3*s - 41 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1390 + 901 = 79*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 + 3*y + 2. Let b(l) = l**2 + l + 1. Calculate -2*b(q) + s(q).\nAnswer: 5*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 225 = -m. Suppose 15*d + m = 20*d. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -4*u + u. Let s = u - 19. Calculate the highest common factor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18316 and 207556.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 1, -123 in descending order.\nAnswer: 5, 1, -9, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1188 + 603. Let p = -581 - d. Solve 4*u = -5*t - 4, 3*t + 5*u - 12 = -p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18749219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92440.86 days in seconds?\nAnswer: 7986890304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*j + 7, -2*y = -3*j + 7 - 2. Is 3*274 + (-1 - 0\/y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f + 5. Let m(v) = 6*v + 7 + 3 + 9*v - 1. Let i(t) = 13*g(t) - 6*m(t). What are the prime factors of i(12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 101 - 53 - 115)*(-1 + 1 - 3*k + (-2 + 1 - 1)*(k - k - 2*k)) in the form f + r*k and give r.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 2*f + 2. Let s(q) = q**3 + 19*q**2 + 48*q + 4. Let o be s(-16). Suppose -4*b - 2 = -a - 5*b, 8 = -o*b. Calculate g(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3\/3 + 128252*v**2\/3 + 128255*v\/3 + 10688 = 0 for v.\nAnswer: -1\/2, 32064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*o - 5645, 0 = u - 6*o + 5*o - 5615. Suppose f - u = 3283. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o - 5. Suppose 2*a = -7*a + 180. Let s be 11\/5 - 4\/a. Put s, o, -27 in ascending order.\nAnswer: -27, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1468784*1.\nAnswer: 1468784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 265512 + 4?\nAnswer: 265516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22038 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 175*l. Let f(m) = -222*m**2. What is f(x(o))?\nAnswer: -6798750*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t - 48. Let j = t + -19. Let w = 2264 - 2266. Put 0, w, 2, j in ascending order.\nAnswer: j, w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1271084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 20 = 5*a, -5*a + 20 = f - 0*a. Suppose f - 6 = -g. Let s = 11 - g. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0612 - 0.0612. Let r = -27.54 - -28. Let h = -0.06 + r. What is the closest to -0.2 in w, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**2 + 2 + 3*v**2 + 7*v**2 - v**2 - 3*v**2 in the form t + j*v + k*v**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -419 - 223. Let b be w\/(-462) - 4\/7. Does 2 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 + 3*n**5 + 10*n**5 + (n**4 - 3*n**4 + n**4)*(1 - 2*n - 1).\nAnswer: 13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 5*t - 2*f, 2*t = -3*t - f - 150. Let x = t + 31. Put 0, x, -6 in decreasing order.\nAnswer: x, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-30)\/6) + ((-2278)\/(-119) - 13).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 402875 in -1, -0.4, -2\/217?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let r be a(0). Suppose r = c - 3*c + 58. Does 29 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q - 30. Let y be (16\/(-14))\/(-4) + (-115)\/35. Let f(s) = -25*s - 89. Let a(z) = y*f(z) + 8*u(z). Find the first derivative of a(g) wrt g.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0260706 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*i. Is 6 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*64\/(-1104). Which is the closest to 1? (a) -0.5 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 21*v**2 - 42*v - 37. Let t be r(23). Let z = 77 - 52. What is the greatest common factor of z and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 = 17. Let s be (65 + -53 + (-429)\/36)*(1 - 0). What is the closest to s in -2, q, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-14)\/(-4))\/(-7)*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 61, 105, 187, 319, 513, 781, 1135?\nAnswer: 1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 6*x**2 - x - 3. Let l = 150 + -146. Determine t(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.94828 centuries to years.\nAnswer: 794.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, s: 1, r: 4, y: 2}. Give prob of sequence yr.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 669, 1568, 2935, 5004, 8009, 12184, 17763?\nAnswer: 24980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 3. Let u be 12\/56*-22 - (-12)\/(-42). Let w be ((-11)\/(-3))\/(u - 70\/(-15)). Let p(h) = 5*h - 8. Calculate w*o(z) + 4*p(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36270 and 304135?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 - 175. Let f = 19.17 + -19. Do x and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178494.6 - 0.268.\nAnswer: -178494.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13823 + -0.5.\nAnswer: 13822.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*q**3 + 223*q**3 - q + 76*q - 2*q**2 + q**3 + 2*q**2 + (0 - 2 + 4)*(q + 2*q**3 - q) as n*q**3 + f*q + d + s*q**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 35*t**2 - 3*t - 3. Let i(m) = 24*m**2 - 4*m - 6. Let r(z) = -5*z**2 - z - 2. Let g(b) = i(b) - 2*r(b). What is 2*a(k) - 3*g(k)?\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/264 and (-3567)\/6264 - (-2)\/4.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighty-one quarters of a century?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*w + 61*w**4 - 19*w**4 + 38*w**4 + 21*w**4 - 2 - 2*w**4 wrt w?\nAnswer: 1188*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**2 + 5\/24*f**4 + 0 - 11*f + 0*f**3 - 1\/24*f**5. Factor j(w).\nAnswer: -5*w*(w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 953*b - 9 + 503*b - 1951*b + 501*b.\nAnswer: 6*b - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 51 + 0*k**3 - 966*k + 966*k.\nAnswer: -2*k**3 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/60 - u**4\/12 - 2*u**3\/3 + 5*u**2. Let y be d(4). Solve -1 + y = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70893.796 to the nearest 10.\nAnswer: -70890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 17 = 69 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 40*m**2 + 218*m + 2465. Determine q(30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqq. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 78132.\nAnswer: 78132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35719\/9 - -3973. What is the common denominator of -1\/6 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 1. Let o(s) = 12 - 4*s + 16 + 8 + 15 - 42. Let y(n) = -2*n - 2. Let d be y(-4). Suppose 4*u + 2 = -2. Give d*l(z) + u*o(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + s + 16. Let d be a(0). Let t be (-1 - 0\/3) + 45. Let h be 12\/(-9)*t*-3. Calculate the highest common divisor of d and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.895 - 0.095. Let i = -24.5 + y. Let n = i + 13. Which is the nearest to -1\/4? (a) -2\/3 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57\/2 + (-3)\/6. Let r be ((-1005)\/25)\/(4\/(-20)). Let b = o + r. What are the prime factors of b?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -242, 2, -2797 in ascending order.\nAnswer: -2797, -242, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1231979966*i**3 + 206774056 wrt i?\nAnswer: -3695939898*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/300 and 0 + (-3 - (-1016)\/192).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(833)*-1 - (-1*sqrt(833) - sqrt(833))*6).\nAnswer: -154*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2240 by -2.\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffuf when four letters picked without replacement from {u: 2, f: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5)*(-1080)\/144)\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i - 30 = 36*i. Let w = -1\/195 - 257\/585. Which is the biggest value? (a) i (b) w (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30498*v**4 + 740*v**2 - 20955*v + 88 wrt v.\nAnswer: -365976*v**2 + 1480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -d + 11973, -d = -6*f + 9*f - 8979. List the prime factors of f\/14 - ((-8)\/56 + 0).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1277 = 226*j - 4147 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -25\/7, -5, 5, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 6 = 3*q - 0*q, 8*q - 77 = -15*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82630 - 82685.063. Let g = x + 0.663. What is g rounded to the nearest integer?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**4\/8 + 2*d**3\/3 - d**2. Suppose m + 8 = -1. Is o(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 12 = -8. Let d be 733\/o + (-4)\/16. Suppose p = -5*w + 198, -5*p + 828 = 4*w - d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1977)\/(-36) + ((-12)\/21 - 3\/((-252)\/55))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 i when four letters picked without replacement from vvviviiivvvvi.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1012*u**2 - 6956*u**3 - 1012*u**2 - 2*u.\nAnswer: -6956*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 356092 - 712183\/2. Factor -1\/2*f**3 - 1 + t*f + f**2.\nAnswer: -(f - 2)*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2 + 1\/2*u**2 + 15*u. List the prime factors of b(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 47. Suppose i - p + 3 = 36, 2*i - 70 = u*p. Suppose -i*j = -33*j + 8. Solve -z + 15 = -j*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21600, 21573, 21546?\nAnswer: 21519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*c**2\/11 - 102*c\/11 + 20\/11.\nAnswer: 2*(c - 1)*(41*c - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -15187, -1\/4, 895\/13 in increasing order.\nAnswer: -15187, -1\/4, 895\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**0)\/w)\/w**7*w*w**(3\/8)*w**(-8))**(4\/21) assuming w is positive.\nAnswer: w**(-109\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 646 - 645.999999255. Round b to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21a15 + 9?\nAnswer: -21a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -11 (b) -1175 (c) 0.5 (d) 5 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**3 + v**2 - 1. Let o(i) = -i**2 - 23*i + 1. Let w be o(-23). Determine l(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 + 32\/(-5). Suppose -4*h = -3*d - 28 + 4, 0 = -h + d + 6. Is (h\/(-4))\/(w\/1492) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42268 - 77081.946?\nAnswer: -34813.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 865 - 250 = 5*f, -4*h + 3*f - 1506 = 0. Suppose 42*l - 9101 = -449. Let d = l + h. Round d to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 86, 291, 702, 1391, 2430?\nAnswer: 3891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1481 - 7?\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 1235054?\nAnswer: 1235053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 15 + (4 - (-12 + -8 + 17)) + -4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 66, -11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12637 rounded to three decimal places?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + h. Let t = h - -1. Let o(w) be the first derivative of w**4\/4 - 2*w**3\/3 + w**2\/2 - 1. What is o(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 328 - 326. Let y be (3 - 1)*7\/2. Solve y*b - 25 = o*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*x - 8. Let m = x + 13. Solve f = m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*1*sqrt(684) + sqrt(684) + (0 + sqrt(684))*-4)**2.\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 6 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2600 and 1448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1814136 or 1814135?\nAnswer: 1814135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/221696 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9490185 and 8835?\nAnswer: 180313515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28517696*i**5 + 9812924*i?\nAnswer: 570353920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r - 9. Let m(q) be the second derivative of 2*q**3\/3 - q**2\/2 - 30*q. List the prime factors of m(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - -0.7. Let p = -2.832 - 0.168. Which is the second smallest value? (a) j (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**2*p*w - 14*j**2*p + 25*j**2*w + 9*j**2 - 3*j*w + 9*p*w - w wrt p.\nAnswer: -5*j**2*w - 14*j**2 + 9*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 13*o**2 - 20*o + 26. Let t be q(-11). Let i be ((-2)\/24)\/((-3)\/6). Which is the third biggest value? (a) i (b) 1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5759*q + 28931. Give b(-5).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5238705 is divided by 5795?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - q**2 + 4*q + 6. What are the prime factors of g(4)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(19)*1 + 1)*4.\nAnswer: 4 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -503*n + 78244. What is b(156)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*v**3 - 875*v + 875*v + (5*v - v - 5*v)*(2*v**2 + 0 + 0) to the form p*v**3 + o*v + t*v**2 + h and give p.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 4*b**2 - 531*b - 154. Give h(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - q + 49. Let g be n(0). Let f be 1\/g*(-5)\/(-30). Let t = 218\/735 + f. Which is the second smallest value? (a) t (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3225725 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16)*-2)\/(((-2310)\/7)\/(-22))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 150642550?\nAnswer: 150642554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381184, 381040, 380806, 380488, 380092?\nAnswer: 379624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*a**2*j**3 + 24*a**2 + 19888*a*j**4 + 48*j**2 + 12*j wrt j?\nAnswer: -66*a**2 + 477312*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-6)\/m*m*m\/m**(2\/7)*m**4\/m*(m\/(m*m\/(m\/(m*m\/(m*m**1*m*m)))))\/m*((m*m**(-2\/7))**33)**21 assuming m is positive.\nAnswer: m**(3463\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 - 3*t - 7. Let u(z) = -20*z**2 - 10*z - 20. What is 17*r(p) - 6*u(p)?\nAnswer: p**2 + 9*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 32\/(-4) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**5\/30 + 4*b**2 + 2*b. Let y(p) be the first derivative of l(p). Let v(i) = -i**2. Determine v(y(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5*z = -168 + 158, 3*z + 18 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 23*q + 83. Calculate y(-27).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/56 + (-8)\/28. Let y = 44 + -175\/4. Which is the nearest to r? (a) -3 (b) y (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 7)*(x**2 + 1 - 1) + x**2 - x**2 + 2*x**2 + 2*x**2 - 5*x**2 + 2*x**2 - x**2 + 3 - 6*x + 6*x as t*x + z + w*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 21*n = -8125. Is n\/(-3) + 2\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, -482, 0.08?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*i**4*t**2 - 9*i**3*t**2 + i**2*t - 21*i*t**2 - 2*i*t wrt i?\nAnswer: -912*i*t**2 - 54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 2 + 2. Let q(x) = 3621*x**2 - 3*x + 18*x + 10*x - 3619*x**2. Let y(z) = 9*z**2 + 105*z. Let u(o) = 21*q(o) - 5*y(o). Give p(u(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 9:36 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 518959822 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-96)\/208*-13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*j - 3, 62*j - 3*t = 61*j - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6475731 equal to -6475732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y - 7*y**4 + 9*y**4 + y**4 + 3*y**3 - y - 3*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -0.02 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 5898152?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from occvocctoiiccctzvt. Give prob of picking 3 o and 1 i.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-8*9\/(-18). Let s(b) be the second derivative of 1\/48*b**m - b - 1\/80*b**5 + 0 - 1\/8*b**2 + 1\/24*b**3. What is c in s(c) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182494 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t**2 - 3*t + 3*t)*((t + 1 - 1)*(2 - 4 + 4) + 80*t + 535 - 535) to the form l*t + g*t**3 + q + z*t**2 and give g.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -507*u**5\/20 - u**4\/12 + 395*u**3\/6 - 1786*u. What is the third derivative of n(x) wrt x?\nAnswer: -3042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/12 - 1 - -1. Let g be (7\/(-63))\/(2\/4). Sort 0.5, r, g in ascending order.\nAnswer: g, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48109.628 - 1607492.\nAnswer: -1559382.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -590\/51 - 743297\/408. Let o = r + 1831. What is the common denominator of -45\/22 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c. Suppose 5*o - 7*o + 4 = c. Solve 3*h + 12 = -2*j, j = o*h - 6*h - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*x - 0*x - a, -x + 4*a = 14. Let l = -3 + x. Let r = -11 - -9. Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 4. Let a be i(7). Let b be (-2)\/(3*6\/63). What is the third smallest value in a, 2, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5947*l**2*p**2*y + 6*l**2*p*y + 6*l*p*y + 19095*p**2*y wrt l.\nAnswer: -11894*p**2*y + 12*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8631 and 3141.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1\/3 (c) -2\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {e: 4, l: 3, m: 7, j: 1, k: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -81*z**3\/2 + 7*z**2\/2 - z + 226. Let m(j) = -2*j**2. Calculate m(x(s)).\nAnswer: -118098*s**2 + 6804*s - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5\/6)*o*o)\/(o*o**(-4\/3)))\/(o*o**(-9\/7)\/o*o*o*o*o*o**(3\/14)) assuming o is positive.\nAnswer: o**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-16 + 18 - (-6 + 10 + -4))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1385, 2770, 4155, 5540, 6925, 8310?\n\"Answer: 1385*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e8a0 (base 16) to base 10.\nAnswer: -59552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4 = -11. Let x(n) = -n**3 - 6*n**2 - 5*n - 6. Determine x(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - 1)*((-1)\/4)\/(-1). Suppose 28 = x*b + 5*b. Suppose -68 = -4*d + b*f, 4*d + d = -4*f + 85. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - 34.94. Let o = 35.68 + z. Round o to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 788757 (c) -2\/9 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. What is the smallest common multiple of l and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-2 + -5 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*r**2 - 8303651*h**3 - r**3 + 5484*r**2 wrt r.\nAnswer: -2*h**3*r - 3*r**2 + 10968*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9692291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88 less than 0.9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 9*q**2 + 69*q + 7697. Let u(t) = t**2 - 2*t + 10. Let l(d) = 2*u(d) + v(d). What is the derivative of l(k) wrt k?\nAnswer: 3*k**2 - 14*k + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68756 greater than or equal to -68744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185318 + 1847*q**4 + 185317 - 33*q - 10*q wrt q?\nAnswer: 22164*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615 = -443*z + 320*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22b (base 12) in base 11?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -4)*(2 + -4). Suppose 28 = 4*d + x - p, 5*x - 20 = 0. Let q = d + -14. Which is bigger: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 + 415. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29637, 32268, 34897, 37524, 40149?\nAnswer: 42772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18742, -37583, -56424, -75265, -94106?\nAnswer: -112947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 1:20 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/11)*n*n**(-11) assuming n is positive.\nAnswer: n**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*u - 7 = 0, 0*u + 12 = -4*u. Let t(n) be the first derivative of -n**l - 4\/11*n - 6\/11*n**3 - 5. Determine d so that t(d) = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 8:07 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 153\/2, -7, 0.1, 1\/4?\nAnswer: 153\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 61 = -527. Calculate the lowest common multiple of (-14 - q)\/(-1 + 2) and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21 - 20 - (-3)\/(3\/2). Solve -u*l = -2*f + 5, 6*l - l + 7 = 2*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + 16 + -8 - -6. Let f = 0.67 + -0.47. Put f, -0.06, u, -1\/4 in decreasing order.\nAnswer: u, f, -0.06, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -310378, -620777, -931174, -1241569?\n\"Answer: x**2 - 310402*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 58*k + 93*k - 26 + 3*k**3 - 1.\nAnswer: 3*k**3 + 35*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68)\/(-866)*(-791)\/(-32). Let s = 3\/866 - u. Let y = 15545\/6 + -2582. Find the common denominator of y and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 6, -2*x + 19 = -2*b - b. Suppose -x*f = -3*r + 1045, 0 = 2*r - r + f - 343. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 2*g. Suppose -4*w - 3*v + 27 = 0, -3*w + 3*v - 12 = -2*w. What are the prime factors of z(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f = -52*f. Which is the nearest to -66? (a) 1\/4 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -10. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = l. Suppose 30 = 4*h + l. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 20928*u**2. Let a(j) = 107*j. Give h(a(s)).\nAnswer: 239604672*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00130652 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -2. Suppose -24 = -4*v + 2*k + 18, 4*v - k - 45 = 0. Let u = v + o. What is the highest common divisor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11961833 = -388*x - 310581. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -592, -4\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290872.\nAnswer: 2, 103, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 95271736 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*g + 3*g. Let q be ((-16)\/(-90))\/(g\/10). Factor 0*a**2 - q*a**3 + 2\/3*a + 2\/9.\nAnswer: -2*(a - 1)*(2*a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/5))\/p**(2\/5))\/(p**(-2\/5)\/p*p**(2\/3)*p) assuming p is positive.\nAnswer: p**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -34?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 242 + -969\/4. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3785168 and 1328?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -36735 smaller than -37389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 4*s + 84. Calculate x(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82946353 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y - 11350 = -33*y. What are the prime factors of y?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1978*v + 3251*v = -46500 + 334095 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -115152 (base 10) in base 4?\nAnswer: -130013100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2 + (-15 - (-22 - -12)))*12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5753 - -149581\/26. What is the biggest value in x, -0.2, -3\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-12))\/(3\/(-6)))\/(57\/(-1140)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967075?\nAnswer: 5, 101, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-2))\/(-68*78\/10608).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 24*h + 1056 = -25*h for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) -24\/151 (c) 3\/218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 779 divide 9588711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.4, 3, 0, -0.12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from teetttttttttut?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82062432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -6. Suppose -f*d + 22 = -4*b + 3*b, 3 = b. Suppose -4*z + 0*q + 358 = -q, -d*z - 3*q = -439. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*t + 1 = -277*t - 3*l, 0 = -t - 6*l - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18497 (base 11) to base 6.\nAnswer: 315451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -2.309?\nAnswer: 1.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 7*g**2 + g - 6. Let l be v(7). Let r = 2\/3 + -4\/15. Which is smaller: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16a01a (base 14) to base 5\nAnswer: 200431114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0*z**2 + 3\/14*z**4 + 91*z - 1\/147*z**7 + 1\/15*z**6 - 3\/14*z**5 + 0 + 0*z**3. Let u(i) = 0. Calculate i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 6174?\nAnswer: 55566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*s, -3*v - 2 = -4*s. Suppose v*g - 2 = -22. Does 4 divide 18\/g*-22 - (-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o - 5. Suppose -4 + 16 = 4*u. Let h(x) = 2*x + 3. Calculate u*s(j) + 5*h(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 185800 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6) - 1)\/((-57)\/304). Let z(d) = 474*d + 29. Is z(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24576 + -24599. What is the nearest to g in -0.2, -5, -1, -1.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17975 is divided by 1491.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Let z(f) = 3*f. Let a(p) = -162*p + 119*p + 50*p. Let t(u) = n*z(u) - 2*a(u). Let k(i) = -10*i**2. Give k(t(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a - 77*a - 176 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, f: 1, r: 5, e: 3, u: 6}. Give prob of sequence hee.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4733\/207 - 987\/23. Let b = -409\/6 - s. Let r = -6255\/2 + 3165. Calculate the common denominator of r and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -20. Suppose 56 = 2*p - 0*p - j, d*p - 4*j = 120. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12001\/2758 + 27\/197. Let v = 12\/565 + 19511\/12430. Calculate the common denominator of v and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90092*d**4 - d**2*l - 7*d*l*r + 40004165*l*r wrt d.\nAnswer: -360368*d**3 - 2*d*l - 7*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4357490, -4357376, -4357186, -4356920, -4356578, -4356160, -4355666?\n\"Answer: 38*f**2 - 4357528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181056*p - 181056*p + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -21, -5, 0 in decreasing order.\nAnswer: 0, -1, -2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/2964 and 80\/1539.\nAnswer: 80028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -61*u**7\/14 + 329*u**4\/3 + 160*u. Find the third derivative of n(q) wrt q.\nAnswer: -10980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 + 14*r + 1. Let v be y(-6). Suppose i + 18 = v. Suppose 0 = -6*f - i*f + 377. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 113*q - 196. Let d be z(2). Suppose 0 = 4*k - w - 124 + 9, 3*k - 70 = 4*w. What is the greatest common factor of d and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/2))**28*((o**3\/o)\/o)**(23\/5) assuming o is positive.\nAnswer: o**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**6\/360 + n**5\/36 + n**4\/12 - 27*n**2 - 20. Let v(c) be the second derivative of i(c). Factor v(o).\nAnswer: -o*(o - 6)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-32)\/(l**(1\/3)*l*l**(-4)*l) assuming l is positive.\nAnswer: l**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000915 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 58*y - 260. Determine s(-62).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/208)\/((-29)\/(6032\/(-28470))).\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 21. Let m be 138 - 0 - f - -2. Is 10 a factor of ((-36)\/(-14))\/(-5 - (-706)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from memmmdedmimmdmmdmme.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 45*z - 91*z + 53*z. Suppose 4*l = w + 16, 2*l + w - 18 = 4*w. Suppose 3 = l*y - 0. Determine k(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24799 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 2889215.\nAnswer: -8\/577843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/35)\/w)\/w*w*w\/w**(2\/11)*w**(1\/2)*w**(-2\/13) assuming w is positive.\nAnswer: w**(2217\/10010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 754673317 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 164 = 2*x, 29 = -4*i + x - 609. Sort 4, -1, i.\nAnswer: i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = -6. Suppose u + 2*w = -8, -x*u + 2*w + 11 = w. Suppose -6*p + u*p + 28 = 0. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3350\/150)\/67*87?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17282 is divided by 1569.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(1584) + sqrt(1584))*-3)\/(sqrt(24)\/(sqrt(36)\/(sqrt(24)\/sqrt(4))))*5)**2 + 0.\nAnswer: 356400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -32. Let d = -10.88 + -0.12. Put d, l, 0.5 in descending order.\nAnswer: l, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 2*m + 1, -441 = 3*o + m - 428 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0, -0.2, 15, -5\/7, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - -84?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-54)*75)\/((-2151)\/(-19359)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 475*y**7\/42 + 299*y**3\/6 + y - 16. Find the second derivative of d(k) wrt k.\nAnswer: 9500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 1\/(106\/(-36) - -3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufduuiiuiiuufff. Give prob of picking 1 i and 3 f.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-318)\/(-5) + 2\/5. Suppose -2*o + 42 = -n. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f. Let y(a) = 9*a**2. Give z(y(v)).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 2 + 8*j**3 - 41*j**4 - 45*j**4 + 88*j**4 to the form r*j**3 + v*j + m*j**2 + p*j**4 + h and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 10) in base 5?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59052 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -19834*a - 17644*a + 35490*a + (-2 + 1 + 0)*(-a + a - 3*a) in the form k*a + r and give k.\nAnswer: -1985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3, -r + 5*k = -19 + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 35 = -i + 17*q, 0 = 2*i - q + 25. Let g(l) = l**3 + 9*l**2 - 30*l - 20. Is g(i) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 11 = 33. Suppose 3*u = 19 + j. Calculate the smallest common multiple of (-6)\/3*(5 + -6) and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144.4 + -140.7. Which is the nearest to 1? (a) 4 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1190 = -2*f. Suppose g + 94 = 3*g. Let k = g - 13. What is the greatest common divisor of k and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 3*d + 7 = -2*d, s - 2*d = 650 - 653 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-38)\/(-26))\/((-68)\/(-272))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -80 - (-39 - -10) - -26\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 393534508 divided by 1\nAnswer: 393534508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. Let s = -14 + 20. Let z be ((-8)\/(-12))\/(s\/9). Solve 3*o - 4*o - z = g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 188145*t + 752578. Determine f(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-984)\/1512 + 116\/522\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 7*y**3\/6 - 51*y**2\/2 - 23*y. Let g be c(7). Put -5, 2\/9, g, -0.3 in decreasing order.\nAnswer: 2\/9, -0.3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hahh when four letters picked without replacement from {h: 16, a: 2}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -286*d + 915. What is s(3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 8*w**2 + 8*w - 5. Let v be i(7). Suppose -2*t = 3*g - 154, g = v*g + 3*t - 56. Calculate the remainder when g is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 487 by 4.\nAnswer: 487\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 45*r - 24*r - 18*r + 17. Let a be w(-11). Let i be 6\/(-10)*((-49)\/a + 1). Is i at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1689 = 6*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -674\/5? (a) -0.3 (b) 4 (c) 8 (d) 1 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 493 in -12, -1\/32, -1, -1\/8?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1089)\/44 - -25) + 1719\/4 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 1:27 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q = -117*q + 1247650 + 1593274. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 85, 55\/6, 1\/8, 5?\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 4*j + 3, -68 = -s - 5*j - 78 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/71 or 28?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -6ef?\nAnswer: -6ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus 482306747647?\nAnswer: -482306747646.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73287 + 42?\nAnswer: -73245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1092 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 8*m**2 + m - 7. Determine o(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -2 (c) 6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 2144 + 5524 = 0. Calculate the greatest common factor of i and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Is 109 + (-6)\/(-9)*p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i - 17*i**2 + 3*i - 8*i**2.\nAnswer: -25*i**2 + 28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 - 114 = -69*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-34)*(-87)\/290.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/10 - (-2)\/(-10). Let f(l) = -8*l - 6*l - 9*l + z. Let a be f(-5). Calculate the greatest common divisor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.4244 rounded to one dp?\nAnswer: 90.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 22813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2358834 less than 2156807?\nAnswer: 4515641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/(p*(p**(-31)\/p)\/p)*p))\/p)\/(p\/((p\/(p\/p**(-2\/15)))\/p))*(p*p*p**4)\/(p*p\/(p\/(p*p*p**(4\/9)\/p*p*p))*p))**(-4) assuming p is positive.\nAnswer: p**(6224\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-230)\/(-26) + 42\/273. Let n(w) = p*w - 3*w + 7 - 5*w. Suppose -9 + 3 = f. What is n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 563092*q**3 - 3*q**2 - 778*q + 5.\nAnswer: 3378552*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -96*w + 92*w. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32389, -24986, -17583?\nAnswer: -10180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((-396)\/21)*4\/(-14).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**3 + 6600*j**2 - 3319452*j + 368990048 = 0.\nAnswer: -2072, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77439 and 18660.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4798)\/14 - -1) + 254\/(-889). Let u = q + 348. What is the lowest common multiple of u and 704?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5145819398 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 4 (c) -0.4 (d) 16 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 153, -37, -393, -969, -1819?\nAnswer: -2997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182 - -272. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6819 and -5378?\nAnswer: -36672582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46698*t - 42 = -3*k + 46702*t, -3*k - t = -27 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 not equal to 245808\/1663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-496)\/(-8))\/(196\/(-98))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -32084?\nAnswer: -320840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -326338910 rounded to the nearest one million?\nAnswer: -326000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/121 and -81\/968.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46942 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-366)\/180 + -11.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 2. Let x = 0.117 - -3.883. What is the third smallest value in f, x, -14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18859519, 18859520, 18859521, 18859522?\n\"Answer: n + 18859518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.08 (b) 2\/31 (c) -4 (d) 3\/8 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 636551 and 2714?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1915*v + 3940. Let s be k(-2). Solve -s = -17*t - 38*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1. Let x(a) be the second derivative of -a**4\/4 + 5*a**2 + a. Let y(k) = -6*u(k) - x(k). What is the derivative of y(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2520813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 15 - 21 + 34. Let h be j(-1). What is the second biggest value in -5, -2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + 6*i**2 - 3*i**2 + (-29 + 29 - 29*i)*(-i - i + 0*i) + (1 - 3 + 3)*(i + i**2 - i) + 2*i**2 - 5*i**2 + 0*i**2.\nAnswer: 57*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147 + 213. Suppose 4*i - i - q = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.67, 0, -3?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 10*b - 9*b)*(2*b + 0 + 0) + (-b - 3*b + 2*b)*(0*b - 5*b + 3*b) + 3*b**2 + 1093 - 1102 - 8*b**2 as a*b**2 + w*b + q and give a.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 1\/3*x**4 + 0*x + 4\/9*x**3 + 0*x**2 - 1\/18*x**6 - 95 - 1\/15*x**5. Find z such that h(z) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 125702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, h: 2, g: 4, a: 1}. Give prob of picking 1 a, 1 g, and 1 h.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2243, -3184, -5749, -10754, -19015?\nAnswer: -31348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12096 + 12096.010352. Round q to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*m**3 + 10*m - 13*m**3 + 4*m + 22*m**3 + 7*m**2 + 2*m wrt m.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + (-3660993)\/36)\/((-12)\/32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 14 (b) -3\/14 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -237317*h**6 + 30*h**2 - 2*h + 918 wrt h?\nAnswer: -28478040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000042370155 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**3\/2 + 375*u**2\/2 + 759*u\/2 + 381\/2 = 0.\nAnswer: -1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -64*x - 13. Let j(z) = -33*z - 7. Determine 3*d(k) - 5*j(k).\nAnswer: -27*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 9:39 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2125*l - 12471. What is b(6)?\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*f = 51*f - 480 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) + 424\/(-182). Let v = y + 604\/221. What is the third biggest value in -3, v, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -263, -394, -525, -656?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1524 + 2556. Which is smaller: s or 1031?\nAnswer: 1031","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115830 divided by 162.\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -313166*z - 3444950. Give q(-11).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3 - 11172*m**2 - 55784*m - 66912 = 0.\nAnswer: -2788, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -54a832 (base 11) in base 13?\nAnswer: -249908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 23.6. Let c = 19 + q. What is the third smallest value in 0.1, c, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15240 divide 4529382361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) + 8\/(-28)*1. Solve 3*i = -b*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 197*f*r**3*x + 2*f*r**2*x - 29*f*r*x + 2*r**3*x + 2*r**3 - r + 549 wrt f.\nAnswer: 197*r**3*x + 2*r**2*x - 29*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 311575.1146 rounded to the nearest one hundred?\nAnswer: 311600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 + -1?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/9)\/((-4)\/10) + 1114 + -1109. Which is the closest to 12? (a) 0.5 (b) y (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/540)\/(1\/((-5)\/21)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346002621, 346002620, 346002619, 346002618, 346002617?\nAnswer: 346002616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92584 - 62032. Is o a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -98220100 to the nearest one hundred thousand.\nAnswer: -98200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -9 - (75 + (-8 - -11))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46048564 is divided by 236.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -17007880.\nAnswer: -17007884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1 - 2*b**3 + 2*b + 2 + 3 + 0*b**2 - 4*b**2. Let x be j(-5). What is the greatest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d - 5*d + 7*d + 9*d.\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 2*d**2 - 3*d + 4. Let q be u(3). Let r = q + 6. Suppose f - 10 = 1. Calculate the lowest common multiple of f and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 580575 - 56?\nAnswer: 580519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyyy when four letters picked without replacement from yyyyyyyyyyynyyyyyyy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r - 2. Let s(a) = 6*a - 3 - 3*a + 5 + a. What are the prime factors of s(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 34607832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 3, z: 4}. Give prob of sequence zmz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 1 = 11*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w + 3. Suppose 6*c - 5*c - 12 = 0. Let n(i) = -2 - 9 + c + 5*i. What is n(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55964766, -55964777, -55964788, -55964799, -55964810, -55964821?\n\"Answer: -11*l - 55964755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 976.\nAnswer: -1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 45 = 13*p. Solve 4*t**p - 7*t**3 - 28*t**2 - 12*t + 67*t**2 - 6*t**3 = 0 for t.\nAnswer: 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2 + 31179990*h + 31179995 = 0.\nAnswer: -1, 6235999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 260673*r**4 + 68329*r wrt r?\nAnswer: 3128076*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.12 - 3.12. Let g = 0.01 + -0.41. Which is the nearest to 3\/2? (a) g (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (60762\/(-225) - -6)*(-2)\/(-4). Let l = 132 + u. Which is the biggest value? (a) l (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 19*m - 36. Let v be p(2). Let y = 1097 - v. List the prime factors of y.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 24. Let h(s) = s**2 - 2*s - 5. Let l be h(c). What is the common denominator of 27\/16 and (-100)\/(-56) + l\/(-25)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7.1. Let p = -2\/21 + 16\/21. Suppose 4*m - 4*h = -16, -116*m - 2*h = -113*m - 8. What is the closest to -6\/5 in d, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n. Suppose 4 = 4*f - 8. Let t(j) = -5*j + f*j + 4*j - j. What is t(s(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.2 (c) 0 (d) -2\/5 (e) -1019\/7 (f) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)\/y)\/y*y)**(3\/7)\/((y**(2\/27)\/y)\/(y**(1\/3)*y)) assuming y is positive.\nAnswer: y**(1892\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7585444 to the power of 1\/2, to the nearest integer?\nAnswer: 2754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9014471, -9014472, -9014473, -9014474, -9014475?\nAnswer: -9014476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 910, -2\/13, 0.\nAnswer: -4\/7, -2\/13, 0, 910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/2082 and 23\/137070552.\nAnswer: 137070552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 127*(-2)\/6 - 2\/(-6). Let n be (2\/v)\/((-2)\/(-4)). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5126 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -61*p**2 + 2*p - 9. Let b be j(5). Let y = b - -2491. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1668)\/(-1) - -4*12\/24. Let w be (1\/3)\/(7 + v\/(-240)). Solve 4*o + 6 + w = 3*k, 5*k = 4*o + 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 - (-21)\/15. Suppose -4*y - 34*b + 9 = -29*b, -3*y - 5*b + 13 = 0. What is the closest to -0.4 in -5, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1481634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -57513574.28 rounded to the nearest 1000?\nAnswer: -57514000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1019 + -29537\/7133. Let h = 1631\/6 + -273. Let q = h + 5\/12. Find the common denominator of u and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5839426 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -34*o**2 + 652*o - 123. Calculate z(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*k - 199*k = -384*k + 3*j + 35, 3*j + 211 = -40*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/10*8\/(-3). What is the second derivative of -d*v**2 + 4 + v + v**2 - 4 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 106*r**2 - 675*r - 460. What is k(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (830\/(-420))\/83*3*(-312)\/2.\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 3*p + 0*p)*(0*p**2 + 0*p**2 - 2*p**3) - p**4 - p**4 + p**4 + 23*p**4 - 10*p**4 + 19*p**4 as h + q*p + c*p**4 + l*p**3 + v*p**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(11) + sqrt(33)\/sqrt(3))*-4)**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*((-11)\/44)\/(6\/(-4))*(-1008)\/454860.\nAnswer: -2\/361","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = -k - 16, 3*y - 15 = 0. Let z be (68\/k)\/((-7)\/42). Suppose 0 = -b - 4*c + z, 0*c + 2*c + 62 = b. What is b rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 648267301?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -352*r. Let m = -115 - -117. Let s(t) be the first derivative of 13*t**2\/2 + 188. Determine m*x(z) + 55*s(z).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1395\/4 - 15407\/44. Calculate the common denominator of -15\/424 and a.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6 + 2. Suppose 3*o - n*o + 26 = 0. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 130 = 41*i. Let l = i + 30. Solve 0*f + l = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280 * -9\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (25 + -1)*(-10)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 63 - 69. Let c = 50 + -37. Suppose c*w - 5*w = 0. Solve 6 = -w*l - u*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12726 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*12 + (-4)\/(-2). Let t = -41 - a. Solve w - 20 = t*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2043.3 rounded to the nearest ten?\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/10 - 2*a**4\/3 + 5*a**3\/3 - 103*a. Factor z(g).\nAnswer: -2*g*(g - 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39d6d (base 14) to base 15.\nAnswer: 2c3ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1670*z + 407. Is j(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156680 and 94008.\nAnswer: 470040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 152*f**3 + 45*f**2 - 54*f + 20. Let g(n) = 50*n**3 + 15*n**2 - 19*n + 7. What is -17*g(o) + 6*x(o)?\nAnswer: 62*o**3 + 15*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13238842*t**3 - 3*t**2 - 4*t + 33563454 wrt t.\nAnswer: -79433052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 51*i - 133 + 385 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76297041*d**4 + 108246847*d wrt d?\nAnswer: -915564492*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = -25 + 121 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/24 and 19\/67090?\nAnswer: 805080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8896757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16963 - -16963. What is the smallest value in g, 243, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 164634.\nAnswer: 2\/82317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) - (2*sqrt(228) + sqrt(228) + sqrt(228)) - sqrt(228))*3)\/((sqrt(192)*-6 - sqrt(192)) + sqrt(192) + sqrt(192) + sqrt(192)).\nAnswer: -13*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*v**2 + 10*v**3 - 181*v**2.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/3))**(-27) assuming w is positive.\nAnswer: w**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odmo when four letters picked without replacement from nommodm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*m**3 - 6*m**5 - 2*m**5 - 80*m**3 + (0*m**5 + 3*m**5 - 2*m**5)*(3 + 2 + 0) + (2*m**2 - 2*m**2 + 3*m**3)*(m - m - 2*m**2).\nAnswer: -9*m**5 - 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*r - 0*r + 38, 4*m + 2*r - 34 = 0. Let u = m + 7. Calculate the smallest common multiple of 14 and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n - 426 + 471 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/24336 and 175\/33462.\nAnswer: 267696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.190833 milligrams to kilograms.\nAnswer: 0.000002190833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -846*h**2. Let d(m) = 4*m**2 - 40. Let s(u) = u**2 - 5. Let r(x) = -d(x) + 8*s(x). Give r(v(a)).\nAnswer: 2862864*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -8, 4, 0 in ascending order.\nAnswer: -9, -8, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g\/(g\/(g\/((g\/(g\/g**4))\/g))))*g\/(g\/((g*g\/g**3*g*g)\/g)*g)*(g**(1\/4)\/g*g)**19 assuming g is positive.\nAnswer: g**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 48*h + 736 = -47*h, 5*h + 583 = 4*i. What is the common denominator of -52\/9 and (-2 + i\/78)*12?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g = p + 3, -2*p + 2*g - 6 = 0. Let h be (-36)\/(-28) + 2 + p. Is 6 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {h: 12, a: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1020 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*b - 8 - 14*b - 1 + (-1 + 2 - 2)*(2 - b - 2))*(0 + 0 - 2*b) + (-64 + 1 - 19)*(0 + 0 - b**2) to i*b**2 + j + x*b and give i.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10 + -6)\/(-2 + 0))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2036554 is divided by 509122?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.2 + -5. Let x = -126 - -131. Suppose -u = -x*s - 22, 3*s - 2*u = 4 - 13. Which is the nearest to -6? (a) -0.3 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 + 162. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (18 + (-9 - -5 - 17) - -7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 2, b: 3, s: 2}. Give prob of picking 1 b, 1 g, and 2 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - 6.4. Sort 5, x, 0.3 in decreasing order.\nAnswer: 5, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/99))**(2\/19)*x**(9\/4)\/x**(-21) assuming x is positive.\nAnswer: x**(174917\/7524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 490 + -486. Let o(h) = 28*h**2 + 0 + 2*h - q - 27*h**2 + 2*h. Determine o(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 10, -w + 271 = -g - 82. Let k = 834 + g. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6e3 (base 15) to base 4\nAnswer: -120123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 12:47 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - r - 2*r - 3 - 3*r + 3 + (-6 + 3 + 2)*(-2*r + 0*r + 4*r))*(0*r + 3*r + r + (4 + 0 - 5)*(-r + 4*r - 6*r)) to w*r**2 + t*r + h and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (113 - 105)*(90\/44 - 2)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 + 122 = 35*k + 159 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 508238 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18416.6 * 13.\nAnswer: -239415.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -21*a**3 + 5*a**4 - 12*a**4 - 2*a**4 + 21*a**2 + 9*a = 0.\nAnswer: -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 4*z + 0*z)*(165313 - 165313 - 892*z**2).\nAnswer: -1784*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 11. Suppose i + c = -12, -i + 4*c - 8 = 2*i. What are the prime factors of w(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((68\/3)\/(352\/(-96)))\/(5 - (7 - 0))?\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1026146986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-82)\/12)\/((-20)\/36) and -56\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.3. Let r = -70.4 + 67. Let l = r - -2.4. Which is the nearest to 1\/4? (a) y (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkskssps. Give prob of picking 2 p and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*i + 1. Let b = i + 2. Find the second derivative of 3*a - 5*a - a**4 - b*a**4 wrt a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 - 186. Suppose 0 = -4*b - 4, -2*m - m + z*b = -26. What is the remainder when 22 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65420152.\nAnswer: 2, 7, 653, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2481846337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 27320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36631 is divided by 18305.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1314577\/724329 - -2\/26827. What is the common denominator of t and 113\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27528 is divided by 137?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 806 + -62b?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1913 - 2018.9. Let t = u + 106. Which is the closest to t? (a) 4 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poddprdxxpp. Give prob of picking 1 x, 1 o, and 1 p.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l = 9386 - 10464 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/(-841)*-29)\/(19\/2).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*l - 340, 3*l + 72 + 99 = 2*g. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.1, -5, -0.1, 0.02 in ascending order.\nAnswer: -5, -3.1, -0.1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349132 is divided by 4308.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 + 247*m - 57. What is x(-49)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 994869 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/9 of a day in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -306370*324\nAnswer: -99263880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 102268120*k + 102268116.\nAnswer: 4*(k - 25567029)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -25 * 3\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**7\/1575 - x**6\/300 + x**5\/225 - 47*x**2\/2 + 47. Let b(t) be the second derivative of i(t). Factor b(l).\nAnswer: 2*l**2*(l - 2)*(l - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/120 + 11*t**5\/60 - t**4\/6 - 3*t**3 + 28*t**2. What are the prime factors of r(10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 - 17*t - 21. Calculate x(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - (-6 + 2))\/1 - 7. Let x(j) = 6*j**2 - 6*j + 14. Let l(b) = -4*b**2 + 4*b - 9. What is c*l(n) - 5*x(n)?\nAnswer: 2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.312 + 0.312. What is the smallest value in o, 18, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, k: 3, f: 2}. Give prob of sequence rkr.\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56394)\/103389*682\/6?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/252 and -143\/210?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*b - 65 = -5*m + 268*b, m + 5*b + 15 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 1 = 2*d. Let p = -27\/4 - d. Which is the closest to p? (a) -1\/3 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17865, -71326, -160387, -285042, -445285?\nAnswer: -641110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 18*z**2. Let a = 31 - 20. Let q(i) = 42*i - 15*i - a*i - 15*i. What is t(q(d))?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44390 is divided by 4767?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17 + 1.07. Let g = -0.4 + y. Which is the biggest value? (a) -5\/3 (b) g (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290 by -5.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -17, 0.9, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -8*n**3 - 9876*n**2 + 104624*n + 54780 = 0?\nAnswer: -1245, -1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -22, -40, -74, -130, -214, -332, -490?\n\"Answer: -g**3 + g**2 - 4*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 23*y**2 + 48*y - 68. Let q be h(-25). Let z(l) = -9*l - 161. Let s be z(q). Which is the biggest value? (a) s (b) 0 (c) 4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 776470\nAnswer: 7\/776470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**4\/5 - 2*s**3\/5 - 6*s**2\/5 + 2*s - 4\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -g - 4*g - 2*u, 0 = -2*g + 3*u + 15. Suppose -6 = 2*i - 30. Suppose 3*l + 2*q - g = -2*l, -l + 5*q = -i. Solve -d - l = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111001002 - -1?\nAnswer: 111001003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126089 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-35))\/(25452\/(-910) + 28).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 3, f: 10, g: 1}. Give prob of sequence mxm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -721, -2707, -5963, -10489, -16285, -23351, -31687?\n\"Answer: -635*f**2 - 81*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74*c**3*p - 1381*c**3 - 9*c*p wrt p?\nAnswer: -74*c**3 - 9*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3168?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a - 6 = d, 5*a + 5*d - 20 = 0. Suppose -i - l + 2 = -1, -6 = -2*i + a*l. Solve f = i*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4543155 (base 7) to base 13.\nAnswer: 16a439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 8*s**2 - 8*s - 4. Let w be m(-7). Suppose 3*b + a - 9 = 0, w*b + 4*a = 5*a + 9. What is the tens digit of b\/(((-2)\/7)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1019.7524 + 1020. Let q = -0.86 - -1.1. Let x = a - q. What is x rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x + 30. Let m be o(-3). Suppose -5*y = -m*y + 19556. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4049474 and 2208804.\nAnswer: 24296844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 - 61 - 42 - 92 + 28*n**3.\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 + 24*g**2 - 1999 + 1995.\nAnswer: 14*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -730*p**2 + 15*p - 45. Let n(f) = -104*f**2 + 2*f - 6. Give 4*g(l) - 30*n(l).\nAnswer: 200*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7630, -7623, -7602, -7561, -7494, -7395, -7258?\nAnswer: -7077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -566*j - 7. Let q = -111 - -105. Is o(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1845709?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35180 or 35193?\nAnswer: 35193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-82 - -38) + 34 + -1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/3))\/x**(-10))**(-2\/7) assuming x is positive.\nAnswer: x**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 8. Let v be l(0). Let y be ((-54)\/v)\/(15\/320). Suppose 5*d - y = d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43665535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -125, -240, -353, -464, -573?\n\"Answer: i**2 - 118*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230 at least 1157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(4*i + 0*i - i)*(i + 1 - 1)*(4 - 1 + 3).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3661 is divided by 230.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20434, 40857, 61272, 81679?\n\"Answer: -4*b**2 + 20435*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (8 - 9)) + -5 + 4 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 2 - 4*c**3 - 4 - 8*c as t*c + u + m*c**3 + q*c**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 715471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 2. Suppose 2*y = 2*k, 2*y - 27 = -3*y - h*k. Solve -y*s - 13 = -4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142 and 79662.\nAnswer: 79662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -508.3 - -534. Let x = q - 15.7. Which is the closest to 1? (a) -3 (b) x (c) 0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2939 - -2.7061. What is the nearest to 0.1 in 2, -7, -5, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 940*q**2 - 322*q**2 - 323*q**2 + 5*q - 10 - 294*q**2. Suppose 0*h = 2*h + 16. Give n(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -32. Let k(w) = w**2 + 1. Let q be k(l). Suppose -8 = -q*j + j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69471 is divided by 914.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/846 and 151\/393894.\nAnswer: 18513018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*j**3 - 2*i*j**2 - 39*i*j + 251*i - 396*j**3 - 4*j**2 - j - 19 wrt j.\nAnswer: -18*i*j - 4*i - 2376*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(-2\/107))\/b)\/b)\/(b\/(b*b*b*b*b**(-1\/18)*b))*(b*((b*(b*b\/(b*b**(-6\/11)))\/b*b)\/b)\/b*b*b*b)\/b**(-16) assuming b is positive.\nAnswer: b**(519239\/21186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (11 - 15) + 23 + -57\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8 + -0.4. Let n = 2.7 - g. Let r = 4 - 8. What is the third smallest value in r, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -697 = -3*x + 56. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82731 and 28873119?\nAnswer: 28873119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 - 2329028*l\/9 - 678046428098\/9.\nAnswer: -2*(l + 582257)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/6*9\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 2*r**2 + 4*r - 3. Let c be u(2). Suppose 0 = c*b - 27 + 7. Solve t = 3*t + b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/2, 13, 1, -2.\nAnswer: -2, -0.1, 1\/2, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 288 + -156. What is the remainder when g is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**5\/30 + g**4\/6 - 5*g**3\/6 + 9*g. Let q(d) be the second derivative of w(d). What is the tens digit of q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*j + 12*j - 20*j)*(-7*j**4 + 3*j**4 + 3*j**4).\nAnswer: -47*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 73, 71, 69, 67, 65?\n\"Answer: -2*g + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 886523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55918734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 60 = 3*y. Let w be (-4)\/(-10) - (-528)\/y. Is 18 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36 + 13 - 3*w**2 + 3*w**3 + 18 + 7*w**3)*(-33 + 33 - 7*w) to the form l*w + v*w**2 + i*w**3 + p + d*w**4 and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o - 7. What is j(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14*n + 5. Let j(f) = 14*f + 5. Let r(o) = o**2 - 10*o + 2. Let l be r(9). Let b(u) = l*h(u) + 6*j(u). What is the first derivative of b(w) wrt w?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = -4*c + 81, c + 2*q - 14 = 0. Suppose 2*y - 2 = 2. Calculate the common denominator of y\/c - (7 + -6) and 101\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5551\/12 - 463. Let w = m + -1\/12. Which is the second smallest value? (a) -1\/5 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8028*j**3 - 16782*j**2 - j.\nAnswer: 48168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 354 and 2269317.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -770?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z = 63. Suppose -3*d - 9 = -z. Calculate the least common multiple of 7 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*l = 43 - 14, 0 = 3*h - 2*l + 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.217 + -0.263. Let d = 8 + z. Let n = d - 5.72. Round n to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -22. Suppose -b = -15*c + 12*c. Is c smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 43*j**2 - 4. Let s(r) = 130*r**2 - 13. What is 13*a(k) - 4*s(k)?\nAnswer: 39*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 434520 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 + 93*f + 9. Let d be u(-27). Suppose -9*w + 1368 + d = 0. Calculate the remainder when w is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(539) - (sqrt(539) + -1 + sqrt(539)))*3 + -5 + -1*(sqrt(539) - (3 + 0 + sqrt(539)) - (0 + -2*sqrt(539))))**2*6.\nAnswer: -6468*sqrt(11) + 159192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*a + 33, -3*a + 10 = -5. Suppose 0 = w - 3*w + j, -t - 2 = -3*w. Let m = 8 - 6. Solve -2*h + m - t = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/4 - n**3\/4 + 3*n**2.\nAnswer: -n**2*(n - 3)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 4*y)*(4 + 11*y**4 + 3 - 9*y**4).\nAnswer: 4*y**5 + 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 4*n**7\/21 - 11*n**6\/15 + 9*n**5\/10 - n**4\/6 - n**3\/3 - 19*n. Solve w(f) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 - 0) - (34 + -32)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 15 = 6. Let i be (-7)\/(-2)*(c - 5). Let o(v) = -v + 2. What is o(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1444 + 1454. What is the lowest common multiple of 1 + -5*(1 + -2) and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*p - 31 + 30 = 0, 3*d - p = -13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -599 (b) -0.26 (c) -34 (d) -2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + (2 + sqrt(192)*-2)**2)*6.\nAnswer: -384*sqrt(3) + 4617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 13*p - 10*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -496\/3*u - 490\/3*u**2 + 328 + 2\/3*u**3 = 0?\nAnswer: -2, 1, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 264*f\/5 - 144746\/5.\nAnswer: 2*(f - 343)*(f + 211)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 14*c + 17. Let y be a(-8). Let q = 6 - -7. Calculate the greatest common factor of y and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3307.151 - -3309. What is w rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 27 + (-26 - -28) + -9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20.194 and -60032.386.\nAnswer: -60012.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -1.4. Let z(d) = 35*d**2 - 593*d - 32. Let l be z(17). What is the closest to l in q, 4, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 57 = 52. Let b = 0.2 + 0.3. What is the closest to 0.4 in 5, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434.95ml in litres?\nAnswer: 2.43495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = x, x - 25 = 4*n + 6*x. Let w = -5.3 + 5. Let q = w - -5.3. Which is the biggest value? (a) -2 (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 316 or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33119742*d**3 + d**2 + 33119732*d**3 - d**2.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 - 16*d**2 + 2*d**2 - 1294*d**3.\nAnswer: -1294*d**3 - 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 538 - 536. Let t(o) be the first derivative of 2*o**3 + 2\/5*o**5 - 4 + 0*o + 3\/2*o**4 + o**u. Let t(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/6 and -151\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 11*c**2 - c - 7. Let k be v(-11). Suppose 4*p = -2*h - p + 60, -156 = -k*h - p. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and -2353.\nAnswer: -2366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3976 + 3978. Let z(c) be the third derivative of -1\/10*c**5 - 1\/120*c**6 - 1\/3*c**3 - 1\/12*c**4 + 11*c**j + 0*c + 0. Determine z(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.99959565 rounded to 2 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**2 + 3*m - 6. Let i(l) = -l + 1. Let y(q) = -g(q) - 3*i(q). Differentiate y(u) with respect to u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + i**2. What is l(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t - 27. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(425)*2 + -4 + sqrt(68) + sqrt(68) + -2 + -1.\nAnswer: -46*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 11*z**2 - 6*z**2 + 233 - 4*z**2.\nAnswer: z**2 + 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5805 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 6. Let p(g) = g. Let c be p(-1). Let q(h) = 1. Calculate c*a(v) + 6*q(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 11121.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {y: 2, f: 3, g: 6, h: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-15)\/(-6))\/(15\/18). Let t = 2 + -2.4. Let p = t + -0.1. Sort p, -5, a.\nAnswer: -5, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -12. Let l = f + -3. Let v = 1 + l. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - o - 1436, -3*n + 3*o - 2152 = 5*o. Let m be 2\/9 - (-115)\/n. Is m at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4020927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*y = -x + 304, 0 = 4*x - 3*y - 1261. Let o = x + -309. Solve -5*k - o = -29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 4, -181718, -2, 2\/9, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s - 1 + 3*s)*(13*s - 8*s + 4*s).\nAnswer: -9*s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -895 and -0.21.\nAnswer: 187.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00078914 rounded to six dps?\nAnswer: -0.000789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 24 = 4*d, -3*d - 5*n = -9*n - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33755548?\nAnswer: 2, 2591, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (3 - (-1 - -2) - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-152)\/3268 - (-41319)\/(-1935) - -24) + (-197)\/75?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -2 - 1 - (-297)\/33. Solve p + h = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 9*d**2 + 2*d + 23. Let h be l(-9). Suppose -h*f - 4*o + 68 = 0, f - 2*o = 2*f - 16. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3019*x. Let q(p) = -224 - p - 210 + 434 - p. Calculate q(a(d)).\nAnswer: -6038*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -446*o - 35 - 141 + 448*o - 383 to the form v*o + g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1536 and 1023253248.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*t + 16936186 - 16936185 + 398*t + 991*t to j + w*t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 131, 188, 279, 422, 635, 936, 1343?\n\"Answer: 3*z**3 - z**2 + 39*z + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*g - 75, 2*u - 36 - 30 = -4*g. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 9*c**5\/10 + c**4\/12 + c**3\/3 + c**2\/2 + 5650*c. Determine b(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**4\/12 - x**3\/2 - 2*x**2 + 2*x. Let b be k(3). Let y(j) = j + 85 - 40 - 42. What is y(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-384)\/56 + (2\/14)\/(-1). Let n(r) = 6*r. Let x be n(-2). Calculate the least common multiple of 1 and (-3)\/x + i\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 785611 and 80.7.\nAnswer: 63398807.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18727 + 168539\/9. Which is the closest to 7? (a) g (b) -5 (c) -4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(2\/33)\/(k*k\/(k*k**0))**(3\/10)*(((k\/(k*k\/(k\/(k**(-8)\/k)*k)))\/k*k)\/(k**10*k))**(3\/5) assuming k is positive.\nAnswer: k**(-317\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 - 9*j**2 - 16*j + 27. Let z(v) = -2*v**3 + 4*v**2 + 8*v - 13. Let f(b) = -3*l(b) - 5*z(b). Let f(r) = 0. Calculate r.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1025392\/33 + 31075. Find the common denominator of s and 151\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*o**5 + o**3 + 34*o**2 - 5775*o?\nAnswer: -740*o**3 + 6*o + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - -1) + (-9 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -24. Let a(n) = 24*n - 8*n - 3*n + w - 11*n. Let x(q) = -q**2 - 5*q. Let j be x(-3). Give a(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, -2, -4, -1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9796*k**3 + 14*k**2 - 33*k + 1 wrt k?\nAnswer: 58776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -40 + 47 + (2 - (-1 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2003*b. Let k(j) = 104*j**2 - 4*j. What is k(f(h))?\nAnswer: 417248936*h**2 - 8012*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1\/(c**(-8)\/c)*(c**(1\/9)*c)**(3\/40) assuming c is positive.\nAnswer: c**(121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -436*y + 436*y - 24*y**2 in the form g*y + l + b*y**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) + 182\/(-70)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/6*(-8)\/(-6). Let o(k) = -5*k + 4. Let l be o(g). Let d(x) = x**3 + 8*x**2 - x - 5. Calculate the remainder when d(l) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-72) - (-706)\/18. Suppose -4*b - p = -3*z - 2*b, -5*z + b + 72 = 0. Suppose -2*v + z = -9. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18490268 * 3.\nAnswer: -55470804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10536, 21158, 31784, 42414, 53048?\n\"Answer: 2*a**2 + 10616*a - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u + 27 = -93. Let w = -95\/4 + 24. Which is the biggest value? (a) -1\/13 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-1 - (-5 - -3)). Let n be y + (3 - (0 - -3)). Let z be ((-4)\/(-10) + 16\/(-15))*-3. Solve n*f + z = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -117, -3\/8, 2\/29, -5\/13, -4?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 15*j**2 - 35. Let h(u) = 45*u**2 - 106. Let s(v) = 3*h(v) - 8*l(v). Find the first derivative of s(d) wrt d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11543, 1, 15, 5, -8, -5 in decreasing order.\nAnswer: 11543, 15, 5, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 87570 + -479.983426?\nAnswer: 87090.016574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 5:08 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**6\/6 + 3671*m**5\/5 - 4*m**3\/3 + 101*m**2\/2 + 7067. What is the third derivative of x(f) wrt f?\nAnswer: 60*f**2 + 88104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4468.48 and -0.3.\nAnswer: 1340.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p. Let v(m) be the second derivative of 143*m + 0*m**2 + 0*m**3 + 55\/12*m**4 + 0. Give i(v(q)).\nAnswer: 110*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 8952?\nAnswer: 116376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -13. Let d = 0.66 + -0.16. Which is the nearest to u? (a) -1 (b) d (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnnlnvln. What is prob of sequence nvln?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - o - 1 + 7, -4 = 2*p - 2*o. Sort p, 3, -4, -2 in ascending order.\nAnswer: -4, -2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586260 is divided by 17765.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2, -2\/21, 1\/22, 4, -4 in decreasing order.\nAnswer: 4, 2, 1\/3, 1\/22, -2\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (123 - 109) + 138\/(-10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 1 + 1)*(-f - 3*f**3 + f) + 0*f**4 + 0*f**4 - 2*f**4 - 2*f**4 - f**3 + f**3.\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2764 is divided by 250.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 10*t**2 - 3*t - 143. Give l(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/9 - 4*c**2 - 10*c = 0.\nAnswer: -15, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 134, 310, 558?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -67*v + 62. Is 14 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*f**2*z**2 - 53*f**2 + 2*f*z**4 + 2*z**2 - 3 with respect to z.\nAnswer: 150*f**2*z + 8*f*z**3 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-18))\/((-9)\/((-252)\/(-7))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/32 - -117\/32. Suppose 0 + t*u**3 + 5\/2*u**2 - u = 0. What is u?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 18*m + 3. Let b = -655 - -649. Let s(h) = h**2 + 16*h + 3. Let f(y) = b*k(y) + 7*s(y). Give f(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 23*v - 56. Let c be x(-5). Suppose 51*n - c*n - 14246 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**8\/28 + 44*t**7\/35 + 501*t**6\/40 + 437*t**5\/20 + 13*t**4 + t**2 - 10*t - 5. Let g(q) = 0. What is q?\nAnswer: -13, -8, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 1\/7, 0.02, 28873 in ascending order.\nAnswer: 0.02, 0.03, 1\/7, 28873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 25*s**2 - 2*s - 2. Let l(m) = -300*m**2 + 25*m + 25. Let b = -7194 - -7192. Give b*l(t) - 25*x(t).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88712*j*q**3 - 23*j - 10*q**4 + 10956*q**2 wrt q.\nAnswer: -532272*j - 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.03 (b) 0.1 (c) -3\/4 (d) 15\/7 (e) -311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 + 3*k - 3. Let x(n) = n**2 - n. Give 2*x(g) + y(g).\nAnswer: -2*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**4\/8 + 46*l**3\/3 + 42*l**2. Let g be x(29). Solve 0 = g*c - 4*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by -3?\nAnswer: 91\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5488.96 and -0.1306.\nAnswer: -716.858176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 623050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**3*x + 114*u**2*x**3 + 7*u*x**3 - 6*u - 3*x wrt u.\nAnswer: 12*u*x + 228*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28854.\nAnswer: 2, 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 = 3*c + 186. Suppose -3*d = -c - 103. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 - 657*v - 310. What is the remainder when 862 is divided by f(132)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**21))\/(f*(f*f\/(f\/((f*f\/(f*f\/(f*f\/f**(-6)*f)*f*f))\/f))*f)\/f*f) assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34300 and 286405.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = 2*b - 2*x - 1683, x = 0. Let n = b + 346. Let j = n + -652. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 - -162. Suppose g*j = -2*j + 60. Let a = -27 - -49. Calculate the remainder when a is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1268795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 35 + 25 = 0. Let f = -42 + s. Do -12 and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2034529.5 and 0.\nAnswer: -2034529.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*d - 279*d + 780 + 1142 = -620*d for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:04 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 2 = -2*b, b = -2*f - 3. Let v be ((-3)\/(-6))\/(f\/(-296)). Suppose -2*z + v = -9. Calculate the greatest common factor of z and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347782705 take away -1.2?\nAnswer: 347782706.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13589 is divided by 1358.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*y + 1)*(-2 + 2 + 2*y**2) - y**3 - 5*y + 5*y + y**2 - y**2 + y**3 - 2*y**3 + 4*y**3 + y**3)*(-9 + 2*y + 2*y**2 - 2*y).\nAnswer: 14*y**5 - 63*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 55. Let f be 3 - 1\/2*-2. Suppose f*x + 6*m = m + 52, -w = -3*x - 4*m. What is the remainder when x is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from xcyyxxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2422723 (base 9) to base 13.\nAnswer: 37027b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 18, 5, -28, -87, -178, -307, -480?\n\"Answer: -v**3 - v**2 + 11*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**4 - z**2. Let t(h) = -4*h**4 + 5*h**2 + 3*h. Let f(j) = -10*i(j) - 2*t(j). Find the second derivative of f(u) wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -1 + 3, 0 = y - 3*a - 7. Factor -4*m**2 + 18*m + m**2 - 17 - y.\nAnswer: -3*(m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 b when three letters picked without replacement from {o: 5, r: 3, a: 4, e: 5, b: 1}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*g - 4 = 0, 3*g = 27*j - 22*j - 6. Let o(f) be the third derivative of 0*f**3 + 1\/24*f**4 - 7*f**2 + 0 + j*f. Let c(s) = 4*s. What is o(c(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*x**6 - 17*x**4 - 562*x**3 + 336094*x**2 wrt x?\nAnswer: -960*x**3 - 408*x - 3372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (1 + ((-2*sqrt(180) - sqrt(180))*5 - (sqrt(180) + -5*(sqrt(180) + 3 - sqrt(180) - sqrt(180)))))**2.\nAnswer: -4032*sqrt(5) + 79641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 6. Let g = n + -23. List the prime factors of (0 + g)*130\/(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-39)*(-54)\/(-24)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101 in 7\/2, 0, -2\/3?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*a**2 - 8 - 31*a**2 + 16*a**2 to c*a**2 + v*a + b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 396470 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(864) + sqrt(864)*2))**2 + -3 + (sqrt(3) + -1)**2 + sqrt(60)\/sqrt(5))*-5.\nAnswer: -2165\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**6\/90 - k**4\/36 - 7*k. Factor a(w).\nAnswer: w**2*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*323\/(-152) - (0 - 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191.8 - -163. Let k = -29 - h. Is k less than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.79*-40342.\nAnswer: -31870.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-864)\/1944*(-18)\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 4*z**2 + 2*z + 3. Let j be p(-5). Let o = j + -73\/4. Which is smaller: o or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1808.97 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = -3, 5*x = -4*v + 12. Suppose x*f + 3*z - 482 = -5*f, 2*f + 5*z - 208 = 0. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*s**2 - 9*g - s**2 - 3847*s + 1146 wrt s?\nAnswer: -4*g*s - 2*s - 3847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 - -112.5. Let r = -2.3 - -2.6. Which is the third biggest value? (a) t (b) r (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 23. Suppose 3*x - x = r. Solve 0 = x*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 = 4*u. Suppose 0 = -u*h + 177 + 378. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 1\/19*n**2 + 0*n - 2\/57*n**3 - 7. Factor z(r).\nAnswer: -2*r*(r - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*w + 350*w = 572. Let p = -21 + 35. Calculate the remainder when (-15)\/30 + (-6)\/(-4) + w is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {s: 14, h: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i + 330. Calculate the lowest common multiple of 1472 and y(9).\nAnswer: 8832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/7, 3\/5, 4.4, -2693, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 972892475 to the power of 1\/2, to the nearest integer?\nAnswer: 31191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*f - 0*f - 12, -k + f = -1. Suppose k*r = -2*r. What is the units digit of (r - 1)\/(2\/(-104))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(-3*x + 8 - 1 - 8).\nAnswer: -9*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 + 10*u**2 + 2*u - 7. Let o be y(5). Let a(k) = 113*k**2 + k + 7. Is a(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2790.667ug in milligrams?\nAnswer: 2.790667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 3)\/(2*(-2 - -1)). Suppose 7*m - 208 + 194 = k. Solve 0 = -3*q - 5 + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71\/8 - -17\/2. Let a = f + 109\/120. Factor 0 + 2\/15*m**2 - a*m.\nAnswer: 2*m*(m - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2225\/(-21) - (-4)\/14. Let u = v + 898\/9. Calculate the common denominator of 1550\/(-434)*(-4 + (-133)\/(-35)) and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 22 - -22 - (11 - 1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 (base 7) in base 15?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - sqrt(1216)*-2)*6 - (sqrt(1216) - (0 + sqrt(1216) + -2)**2).\nAnswer: 104*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {t: 3, s: 1, d: 11}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1417630 divided by 170.\nAnswer: 8339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:01 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0163 + 205.0163. Let w = -0.053181 - -0.553181. Which is the biggest value? (a) -5 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-166)\/(-18) - (-6)\/(-27). Let d = y + 1. Calculate the greatest common divisor of 90 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 15 = -2*t - 3*t, -5*t = a - 15. What is the third derivative of 22*u**3 - a*u**2 + 5*u**3 + 8*u**2 - 10*u**2 wrt u?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + 4 + ((3*sqrt(72) + -5)*5)**2)*4.\nAnswer: -134648 + 36000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2481, 2477, 2475, 2475?\nAnswer: 2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 17*i + 30. Let f be u(-19). Let l be 4\/(-16) - 522\/f. Calculate the common denominator of 31\/10 and -75*(-3)\/(l - -1).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 69.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 13*x - 6. Let b be o(13). Suppose 1748 - 1684 = -4*u. Is b less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {m: 1, j: 1, x: 9, r: 5, i: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18 - 25 + 34*p**4 - 14 - 9*p**4 with respect to p.\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -918, -853, -788, -723, -658, -593?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*b - u, -4*u - 1 = 4*b - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*g + 1810 = 99*g. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-1\/4))\/d)**(-7)*d**9*d*d\/(d*(d\/(d\/(d\/d**(-1\/5)*d*d)))\/d) assuming d is positive.\nAnswer: d**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a - 21. Let z(m) = 0*m**2 - 32 + m + 29 + a*m**2. Let k(g) = -4*g**2 - g + 2. Let p(f) = -5*k(f) - 3*z(f). Factor p(v).\nAnswer: -(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-4)\/2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*2133459.\nAnswer: -91738737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7177 - -14355\/2. Let u(h) be the first derivative of -h**3 + q*h**2 + 33 - h. Determine u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-4) - 2 - -21. Let t = j + -13. Let l(h) = -h**3 - 12*h**2 - 40*h - 57. Let r be l(-8). Is t greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m*u**3 + 8*m*u**2 - 35*m*u - 2*m - 2234*u**3 + u**2 + 2*u + 233 wrt u.\nAnswer: -6*m*u + 16*m - 13404*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d - 6 = 0. Let r be (d\/(-5))\/((-1)\/5). Let s be 66\/18 + (-6)\/r. Is s less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 15*q - 23 + 22, v - 1 = 3*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -41*l - 6. Let b be k(-8). Suppose 0 = -3*h + h + b. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2951 is divided by 641?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w + 103 + 105 = -f + 38*w, -3*w + 137 = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 6. Suppose 217 = s + 2*o, -3*s - 4*o - 138 = -783. Let w = s + -204. Determine c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*w - 857*w - 15669*w**3 + 15670*w**3 + 429*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -14*k - 8*k - 2*k**2 + 6*k - 9. What are the prime factors of n(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1999 divided by 2954\nAnswer: -1999\/2954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10620 and 6245268.\nAnswer: 93679020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 3:39 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14994196969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59781930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**3*z**4 + 19*a**3*z - 7*a**2*z**4 + a*z**2 - z**2 wrt z?\nAnswer: -120*a**3*z - 168*a**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 22*i**2 - 4*i - 280. Let j(t) = 5*t**2 - t - 70. What is -26*j(p) + 6*k(p)?\nAnswer: 2*p**2 + 2*p + 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 17, q: 3}. Give prob of picking 3 q and 1 n.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 3*x**2 - 3*x + 3. Let n be -5 + -4*1\/(-1). Let q(o) = -o**2. Let d(h) = n*f(h) + 2*q(h). What is d(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.506 + 0.106. What is the closest to 0.1 in -0.06, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11306 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 -38515, -38568, -38621?\nAnswer: -38674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 55 + -210cdb?\nAnswer: -210c86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 15*x**2 + 6*x + 14. Suppose -2*d + 2*g + 74 = -7*d, -4 = 2*g. Let s be v(d). Calculate the greatest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 205613223.2 to the nearest one hundred thousand.\nAnswer: 205600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 8. Suppose 4*z + 0*k + 13 = -3*k, s*k = 4*z - 8. What is the least common multiple of 14 and 148\/12 - z\/(-3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8083*q - 15. Let y(x) = -3301914*x - 6126. Let n(s) = 5*y(s) - 2042*z(s). Let d(p) = -3*p**2. What is n(d(a))?\nAnswer: 12252*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*o**2 + 10*o**3 + o - 34*o**2 + (1 - 1 + o)*(2*o**2 - 7*o**2 + 14*o**2).\nAnswer: 19*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 2074.\nAnswer: 16\/1037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 44?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*w + 84*w - 4437. Calculate the highest common factor of 51 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4, -3*f + 9*y = 8*y - 1141139. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 198*w**2 + 9660*w - 263. Give o(87).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -37869\nAnswer: 4\/37869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 13*s**2 + 188*s - 217. What is a(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(224)\/(sqrt(8) - (sqrt(8) + 2*sqrt(8) + sqrt(8))).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(20\/(-24)))\/(4\/30). Let n be (-14)\/(-42) - 96\/c. Solve 0 = -9*a + n*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 23*c**6\/120 + 67*c**5\/60 + 5*c**4\/3 - 2*c**3\/3 - 3*c**2. Find a, given that w(a) = 0.\nAnswer: -2, -1, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t**3 + t**4 - 9*t**3 - 11*t**4 - 4*t**4 + 2 + t in the form z + y*t + x*t**4 + p*t**2 + u*t**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1068769*n**5*z**3 + 2*n*z**3 + n*z + 63544*n - 2*z**3 wrt n?\nAnswer: 21375380*n**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -95\/396?\nAnswer: -95\/396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 9. Let g be n(4). Let p(o) = 14*o**2 + 8. Let k(j) = 9*j**2 + 5. What is g*p(q) + 8*k(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-30)*(-10)\/8. Let m be 2\/11 + (-522)\/(-33). Suppose 4*b - 36 = m*b. Sort -2\/3, 0.2, b, i.\nAnswer: b, -2\/3, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 122555.9 days to microseconds.\nAnswer: 10588829760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + 54. Suppose h = 6*v - 92. Calculate the greatest common divisor of v and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/(-55))\/4*(-77)\/(-99)*-21 and -123\/80.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373052117.\nAnswer: 3, 457684039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3861 is divided by 216?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*c*f*p*v - 2*c*f*v + 3*c*p**2*v - 2*f*p**2*v - 2*f*p**2 - 155*f*p*v - 3*f*v wrt c?\nAnswer: 16*f*p*v - 2*f*v + 3*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.057126 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:15 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -296 and 650206.\nAnswer: 649910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 4*r**2 - r + 2. Let s be x(-4). Let g(k) = -k**2 + 6*k - 1. Let o be g(s). Is 1\/(((-3)\/57)\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67234074 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3036 = -2*g - 3*i, g - 1509 = -17*i + 20*i. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 3*s + 4. Calculate the remainder when 51 is divided by f(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Let f(r) = 4*r**2 + 17*r - 9. Calculate the smallest common multiple of z and f(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.221 - -0.009. Let o = -0.13 + v. What is the third biggest value in -2\/11, 5, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1102.3 + 286.6. Let l = 815 + i. Which is the smallest value? (a) 0 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.7. Which is the smallest value? (a) 4 (b) -0.2 (c) m (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -40 + 11*w**2 - 14*w - 5*w**2 - 7*w**2. Let o be g(-10). Solve 5*z - 2*f + 8 = o, -z + 2*f = 3*f - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -59*k + 47*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -425 + 362. Let r = 25 + -4. Let v = r - l. What is the highest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 19*y = 462. Suppose y = o - 30. What is the highest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 135.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -9. Which is the second smallest value? (a) r (b) -1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3071*s = 3072*s - 1235. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**15*d**(1\/16) assuming d is positive.\nAnswer: d**(257\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24191549, 24191551, 24191567, 24191603, 24191665, 24191759, 24191891, 24192067?\nAnswer: 24192293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6424.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 100?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/7*7\/(-3). Is 3 a factor of (i + 1)\/((-9)\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2171 = -764. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.93 or 8622?\nAnswer: 8622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.168629ml?\nAnswer: 0.000168629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 424139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 6*m**2 + 1 + 4*m + 0 - m. Suppose -2*i + i - 1 = 0. Calculate y(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -13, 0, 364, -3, 2 in decreasing order.\nAnswer: 364, 83, 2, 0, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**4\/18 + 4*q**3 - 60*q**2 - q - 133. Factor u(l).\nAnswer: -2*(l - 30)*(l - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 2*201\/12 + (-6)\/4.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 306765.\nAnswer: 920295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006493 to 5 decimal places.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1355, 2116, 4213, 8324, 15127, 25300?\n\"Answer: 113*s**3 - 10*s**2 + 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 17*c - 538. Calculate y(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3831 + 7661 - 1084*k + 7706*k - 3830.\nAnswer: 6622*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (140\/25)\/(3 + 42\/(-15)). Let y be (r\/189)\/(4\/(-6)). Which is the closest to -2\/5? (a) 2\/21 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 635884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75819 is divided by 340.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(117) + 2*sqrt(117) - (5 + sqrt(117)) - (1 + sqrt(468))*4 - (0 + (-3*sqrt(1573))**2 + sqrt(13) + ((sqrt(1573) + 2)**2 - sqrt(13))).\nAnswer: -15743 - 61*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 3676*h**2 + 151840*h - 1534400.\nAnswer: -4*(h - 20)**2*(h + 959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1905 + 4183. What is t rounded to the nearest ten?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 10*i**2 - 7*i + 22. List the prime factors of m(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136014 + 3?\nAnswer: 136020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 122 = -2958. Calculate the remainder when s is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54152123\/3 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/672 and -57\/777008.\nAnswer: 32634336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 92 (c) -0.2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/4998 and -77\/612.\nAnswer: 29988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (98 - 9*w - 314 + 91)*(0*w**2 + 14*w**2 + 0*w**2) to k*w**2 + c*w**3 + r + z*w and give k.\nAnswer: -1750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152930?\nAnswer: 2, 3, 5, 38431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 421244 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 684957 equal to 13014156\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*p = -388*p - 1520 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 = 63925\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 163266 (base 7) to base 14\nAnswer: bb36","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let -15*m**4 + 51*m**3 - 9*m**2 - 27*m = 0. What is m?\nAnswer: -3\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 18022 (b) -29 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**(1\/8))\/x)**(-36)*x\/(x**(1\/11)\/x)*((x\/(x\/(x\/(x\/(x*(x*x**(-7)\/x)\/x*x)))*x))\/x)\/x assuming x is positive.\nAnswer: x**(-1641\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -20*g**2. Let s(m) = 2*m. Calculate x(s(b)).\nAnswer: -80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Suppose v = 4*f + 737, -3621 = -7*v + k*v + 4*f. Suppose 575 = 4*q + y, -5*q + 10*q = y + v. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(18)*-1*-1)\/(1*sqrt(441) - (-1*sqrt(45))\/sqrt(5)) + 4)**2.\nAnswer: -4*sqrt(2) + 33\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 30. Suppose m*r = 6*r - 60. Let n(y) = y**2 + 11*y - 25. Is n(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 0*b**2 + 0*b - 7\/3*b**3 + 77. Let m(j) be the first derivative of -5*j**2\/2 + 1. Give m(n(p)).\nAnswer: 35*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -32 - 28. Let d(f) = 23*f + 93. Let i be d(-4). Let w = y + i. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*b**2*w**3 - 137*b**2*w - 41*w**4 - 9*w wrt w.\nAnswer: 192*b**2*w - 492*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(45\/(40950\/52)*21\/(-96))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.5. Let h = -1.4731 + 0.1151. Let n = 23.642 - h. Are n and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzllqzlqqzuzl. What is prob of sequence qqu?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 16742862?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 4*c + 2. Let n be r(-4). Let z be 0 + n*(-1 - -2). Let j be (-4)\/((-4)\/(-5)) + (3 - -8). Solve 2*k - z*u = j, -u = -2*u - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**1))**40\/(d**1*d**(2\/9)) assuming d is positive.\nAnswer: d**(-371\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-4\/5)*(j\/(j\/(j*j\/j**(-1\/3))))**(-45)*((j\/(j\/j**(-9\/7))*j)\/j**11)**(-10\/17) assuming j is positive.\nAnswer: j**(-58049\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/4 + 3612*r**3 - 5329239*r**2 + 2206707036*r.\nAnswer: -3*r*(r - 2062)**2*(r - 692)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 4*o**2 + 2*o + 6. Calculate c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294937 is divided by 263.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -166*w + 4. Let z(n) = 342*n - 7. What is -5*u(t) - 3*z(t)?\nAnswer: -196*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/((-10)\/(-1)) + 7\/(-203) and 157\/30?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.66 - 14.34. Which is the closest to 0.1? (a) 0 (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726320 is divided by 4374?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 4. Let r(q) = q**2 - 2*q + 5. Let y(j) = 2*j**2 - 3*j + 11. Let d(s) = -9*r(s) + 4*y(s). What is d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/(-3) - (-57 + 1) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7544 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 10*o + 8. Let f be r(-6). Calculate the common denominator of (f\/132)\/(1\/(-12)) and -55\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -250 - -360. Let a be 12\/15*p\/4. What is the highest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 3110*k**2 - 24620*k + 36840.\nAnswer: -5*(k - 614)*(k - 6)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -81*d**3 + 25*d**2 + 5*d + 5. Let n(x) = -41*x**3 + 12*x**2 + 2*x + 2. Determine -5*n(b) + 2*s(b).\nAnswer: 43*b**3 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2176083 to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.684 - -1.316. Which is the fourth smallest value? (a) p (b) -3 (c) 3 (d) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 10 = 3*m. Solve -4*w + a + 8 = 0, -w + 4 = -a + m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let u(r) = 10*r + 4. Let s(i) = -8*g(i) - u(i). Suppose -4*w - 32 = -5*q + 5, 5*w + 5*q - 10 = 0. What is s(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1 + -4.09999938. What is l rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 388 - 391. Let k(d) = 2*d**2 - d**2 - 10 + d - 3*d. What is the remainder when k(g) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.2, -0.02, 6, -2 in decreasing order.\nAnswer: 6, 0.2, -0.02, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3954665272 + -329.6045535728. Let f = -330 - m. Round f to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + y**2)*(-3*y**2 + 0*y**2 + 6*y**2) + 150*y**3 - 298*y**3 - 2*y**2 + 25*y**4 + 147*y**3.\nAnswer: 28*y**4 - y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((-1)\/(-39)). Suppose -3*t = -4*t + 65. Calculate the greatest common divisor of t and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/32)\/(-3))\/((-240)\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -52*s**2 + 163*s - 11. Let i(z) = -18*z**2 + 63*z - 4. Calculate -3*d(r) + 8*i(r).\nAnswer: 12*r**2 + 15*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 627080*h**3 + 349*h**2 - 107*h - 1 wrt h.\nAnswer: 3762480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + c = -2, -4*p - 1 + 6 = 3*c. Is p\/((-136614)\/(-34154) - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**3\/3 + 2*m + 7. Let q(f) be the first derivative of -4\/3*f**3 + 0*f + 2 + 0*f**2. What is q(g(c))?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176 + 174. Is (3544\/(-4))\/1*w\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/30 and -71\/170012472.\nAnswer: 850062360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7 + 1 + 6*r**2 - 10*r**3 + 11*r**3. Let z be i(-6). Is 2\/z + 127\/4 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 4*b**2 + 0 + 17\/6*b**3 + b**4 + 0*b. What is the derivative of s(y) wrt y?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-22)\/6)\/(1067\/(-194)). Which is bigger: 296 or k?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(2\/13)*y**(2\/3)*y**(2\/7)\/y*y**(1\/3) assuming y is positive.\nAnswer: y**(222\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429898013 to the power of 1\/2, to the nearest integer?\nAnswer: 20734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13291 by 9457.\nAnswer: -13291\/9457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 4. Suppose 4*b - 5 = -3*z - b, -25 = -y*z - 3*b. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14413 or -14415?\nAnswer: -14415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.092 - -9.308. Let i = 11.4 - d. Let j = -46 + 46.2. Which is the closest to -4? (a) j (b) -5\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 i when three letters picked without replacement from {i: 2, x: 9}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/7 + 21\/(-196)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -964\/13981 + 2\/451. What is the fourth smallest value in -0.5, d, -3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 105 (c) -978\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 200 = -5*v - 5*w, 2*v + w - 155 = 0. Let d = v + -72. Solve i + d = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3043.\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v**(-1\/24)*v)\/v))*v*v**19)**(5\/6) assuming v is positive.\nAnswer: v**(2395\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0*p + 74*p**2 - 4*p**2 - 4 - 3*p. Let z be 13\/(-52) - (0 + (-11)\/(-4)). Is a(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -9) + (15 + 2 - 15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -24. Let p(c) = -3*c**2 + 9*c + 5. Let t(v) = -4*v**2 + 9*v + 4. Let o(f) = x*p(f) + 4*t(f). What is o(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4765, 74338, 263177, 630916, 1237189, 2141630?\n\"Answer: 9939*x**3 - x**2 + 3*x - 5176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9431 is divided by 2409.\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -53*m - 22. What is the remainder when 477\/6 - 15\/(-10) is divided by k(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72776 divided by 2\nAnswer: -36388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 115 + 5 = 0. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 12) to base 6.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*b + 8, -5*f - 2*b = -0*b + 4. Sort 3, f, -34.\nAnswer: -34, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 547 - 115. Calculate the remainder when 129 is divided by b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-40 + 56 + (-7 - (0 + 1)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111 (base 2) to base 3.\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (7 + -67 + 17 - -82)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t + 0*t - 32444 = 49990. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -18220111*w + 10*w**2 + 18220111*w. Let s(x) = 24*x. Calculate s(o(b)).\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 - -0.049657148966?\nAnswer: -0.110342851034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/(2\/(-42)). Suppose x*o = 2*o - 2*d + 13, -11 = -4*o - d. Let l = -10 - -5. Sort o, l, -1.\nAnswer: l, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 204 * 1336771.\nAnswer: 272701284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = 8. Suppose 4 = p*h - 0*h. Let g(m) = 2*m**2 + 2*m - 1. List the prime factors of g(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*j + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.07 (b) 13 (c) -0.5 (d) -0.3 (e) 121 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 13420465?\nAnswer: 147625115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222 - -270. 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 o(c) be the first derivative of 5\/22*c**4 + 2\/55*c**5 - 4\/11*c**3 + 0*c - 35 + 0*c**2. Find k such that o(k) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 1. Let z be t(1). Suppose 6*l**5 + l - 4*l + 10*l**4 - 4*l**z - 6*l**2 - 3*l**5 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 860325908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18869093381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247 + -239. Which is the second biggest value? (a) z (b) -0.5 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3189 is divided by 2966.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537239349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**4 - 59975*w**3 + 1682420*w**2 - 9618400*w = 0.\nAnswer: -12023, 0, 8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 166 = -4*u, 9*u = 5*u - 20. Let c = -62 + s. Let w(t) = -4*t**2. Let l be w(1). Put c, 3, l in decreasing order.\nAnswer: 3, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -30. Let g = -30 + y. Is 1\/189 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 53. Solve -b*h + 0 = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 19*b**2 + 24*b - 26. Let n(i) = 18*i**3 - i + 1. Let r be n(1). What is the tens digit of p(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/((-384)\/(-108))*-1*2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and -153296.\nAnswer: -153309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1045.5 + -104.5. Let x = d - -1150.00001657. What is x rounded to 7 dps?\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 0*r = 7*y + 2*r + 5 + 9 + 1, 6 = 2*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.39 + 0.29. Let s = l + 41. What is s rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000223 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + (-5 - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) - -20 - -2. Suppose -2*v - 36 = j. What is the remainder when v\/(-7) - 14\/49 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15509860517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = 4*t - 6*d + 4*d, d - 3 = 0. Let n = -73 - t. Is n\/8*0 + 1814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 5, -1527612 in descending order.\nAnswer: 5, -1, -4, -1527612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121050 and 34650.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**3 + 7*z**2 + 14*z - 11. Let w(l) = -20*l**3 - 20*l**2 - 41*l + 32. Let y(i) = i - 1. Let j be y(-5). Let h(f) = j*w(f) - 17*t(f). Is h(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4737191 to the power of 1\/2, to the nearest integer?\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 172*d + 247. What is the tens digit of i(62)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625994421 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19b + -1d?\nAnswer: 17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 - 388*r**4 - 11008*r**3 - 78208*r**2 - 191488*r - 123904 = 0.\nAnswer: -44, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (393\/(-1572))\/((-55)\/28 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Suppose -5*g - 3*x + 12 - 34 = 0, 0 = -4*g - k*x - 16. Let i(l) = -l - 2. Let q be i(g). Solve 5*r = -q*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 8:02 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 40. Let f be 0\/((-2)\/(h\/(21\/(-6)))). Solve 0 = 2*j - f*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7371 = -2*r + 3*r - 10*r. Calculate the remainder when 819 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 43\nAnswer: 38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18908766 divided by 1\nAnswer: -18908766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*2)**2 + -4.\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629 a factor of 121569012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*y = y - 278, -2*y = 2. Suppose 4*z = -4*x + 336, 2*x - 22 = z - h. What is the highest common divisor of 200 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 7:12 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/24)\/((-86)\/6 - (4 - 102\/18)).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559*p - 581*p = -14168. What is the greatest common factor of p and 1771?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - f. Let n(m) = -m. Suppose -15*t + 285 = 315. Suppose 0*s = 3*s - 6. What is s*k(d) + t*n(d)?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -3, 0.3, 0, 2, -557, 4 in increasing order.\nAnswer: -557, -3, 0, 0.3, 2, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -202 - -179. Let d be (1 - 5)*(n + 109). What is d rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 24610*k + 614004. What is m(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1255 and -1.3366?\nAnswer: 1253.6634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-12)\/(o**(-2)*o) assuming o is positive.\nAnswer: o**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 82?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -74 + 0*w**2 - 2\/45*w**3 + 0*w. Factor i(t).\nAnswer: -2*t**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2 - 2)*(5*s**3 - s**3 + s**3 - 5*s**2 + 5*s**2 - 2*s**3 - s**3 + 4*s**3 - s**3 + (s**2 + 4*s**2 - 6*s**2)*(2*s + 2*s - 5*s) + 2*s**3 + 3*s - 3*s).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5244079936?\nAnswer: 2, 127, 645187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*u**2 - 394*u**2 + 192*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -37*n**3 - 11*n**2 + 20*n + 53. Let o(z) = 13*z**3 + 3*z**2 - 7*z - 18. Let p(a) = -6*g(a) - 17*o(a). Calculate p(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5950560 and 931392?\nAnswer: 107110080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11972944 and 313568.\nAnswer: 981781408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.098183 rounded to two dps?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 53432, 106862, 160288, 213710?\n\"Answer: -2*n**2 + 53436*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 89 = -103 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -13 + -5 + 1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(4*(-10)\/((-240)\/(-261)))\/(-6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893330368 a multiple of 1557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -715 + 717. Solve 2*p + 2 = -2*j, 4*p - u*j + 4*j + 12 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 + 70. Suppose 0 = x*n + 837 - 2343. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-240))\/((-1)\/(-6)). Let n be (-3)\/36 - 2\/8. Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-6 - -11) + -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 593322308, 1186644618, 1779966928, 2373289238?\nAnswer: 2966611548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(209) - sqrt(209)*2) + sqrt(209))\/(sqrt(1331) + sqrt(1331) + (sqrt(1331) - sqrt(1331)*-1) + sqrt(1331) - sqrt(1331)) + 3 + -4*sqrt(171)*2.\nAnswer: -1057*sqrt(19)\/44 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*t - 8. Let k = -1 - -3. Let w(c) = 2*c**2 - 4*c + 2. Let o be w(k). What is the highest common factor of o and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9074748 days in nanoseconds?\nAnswer: 78405822720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6019959?\nAnswer: 3, 11, 182423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 92, 191, 378, 659, 1040, 1527?\n\"Answer: w**3 + 38*w**2 - 22*w + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**7\/2520 - 13*u**6\/720 - 13*u**5\/120 + 39*u**4\/8 + 162*u**2. Let k(h) be the second derivative of n(h). Determine k(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127840577 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 212226 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -21) + 25 + -5 - 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l + 5*b = 26, -4*b + 16 = 0. Suppose -4*d - l = -2*d. Let n be (d - 1)\/(1\/(-2)). Solve n*c + 4*t - 2*t = 2, -3*c = 4*t - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62356*c**3*x**2 - 5901*c**3 + c**2*h*x - 4*c**2*x - c*h*x**2 + c*h*x + h + x**2 wrt x?\nAnswer: -124712*c**3 - 2*c*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34069209 to the nearest integer?\nAnswer: 5837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -4, 249, 4, 192.842?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 12 - 5 + 36 as z*x + u and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -20. Calculate the highest common divisor of f and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t - a, 2*a - 12 = -a. Let m be (9\/(-6))\/((-1)\/t). Suppose n = -4*p - 2*n + 44, -5*p + m*n + 55 = 0. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-49) + (-73956)\/(-84). What is the highest common divisor of 66 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-15) - -1*1. Let p = 0.65 - -0.35. What is the nearest to -2 in 0.5, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-10)*(-1615)\/23256.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4862.1 + -4862. Let g = -9.22 + 0.22. Which is the second smallest value? (a) j (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/169049 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 11 - 9. Suppose -6*c + 5*c + q = 0. What is l in 14\/3*l**3 + 12*l**c + 40\/3*l + 16\/3 + 2\/3*l**4 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 86*y**3 + 132*y**2 - 39446*y + 288827.\nAnswer: (y - 11)**2*(y + 31)*(y + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 12:08 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/5, -2\/265, 2, -0.03, 3 in decreasing order.\nAnswer: 5, 3, 2, -2\/265, -0.03, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5\/4 (c) -0.3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 70*q + 5040. Is f(-69) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + sqrt(2448) + -4 + sqrt(2448)*2 + sqrt(2448) + sqrt(2448) + sqrt(2448))**2 + (sqrt(2448) + -2 + sqrt(2448) + -2)**2.\nAnswer: -864*sqrt(17) + 129776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151573 minus -1?\nAnswer: 2151574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqtphkt. What is prob of picking 1 p and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7068 divided by -114.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, a: 1, n: 4}. What is prob of sequence ann?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-121)\/(-2) + 33\/22. Let z be m - -1 - (5 - 2). Suppose -88*a - 360 = -92*a. What is the highest common factor of z and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203018.01 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 112068, 223144, 334220, 445296?\nAnswer: 556372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 6. Let c(d) be the second derivative of -d**3\/6 + 5*d**2\/2 - 5*d. Let f be 50\/18 - 16\/(-72). Determine f*c(r) + 2*u(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -91 - -55?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (767 - (3 - 1))*(-68)\/(-170). Let l = p - 279. Calculate the greatest common divisor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-12 - -27) + -1 + 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -3*z + 71 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 9 + 5)*(1 - 2*z**3 - 1 - 4 + 4 + 2*z**3 + (-2*z + 2*z + 2*z)*(z + z**2 - z)).\nAnswer: 122*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5 + 37*u**2 + 194*u wrt u.\nAnswer: -20*u**3 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 774998 at most as big as 61\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 8\/25065?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/72576 and 31\/4270?\nAnswer: 22135680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395981 is divided by 210.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28135*-1.39\nAnswer: -39107.65","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -331, -688, -1175, -1792?\nAnswer: -2539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1692 + -4.56\nAnswer: -1696.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 7. Let b be g(-5). Let l(q) = b - 1 - 5*q + 2*q**3 - 2*q**2 + 2. Suppose -393*y + 38 = 2*u - 397*y, -2*u + 5*y + 46 = 0. Calculate l(u).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -14. Suppose 3*q - 17 = -p. What is the tens digit of (50\/(-15))\/(q\/(-78))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31, -7722, -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88431113 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 444*c**2 - 9*c. Let o be j(6). What is o rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 305\/75 - 4 - (14446\/465 - 31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239306 or -239300?\nAnswer: -239306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -20. Let i = 6 + u. What is the smallest common multiple of ((-12)\/7)\/(34\/(-357)) and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-56)*39\/26. Which is the smallest value? (a) 4 (b) z (c) 2 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (30 + -69) - -8 - (81 + 0)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -q. Let w = 0.25 - 0.65. What is the third smallest value in w, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16352, 130715, 441126, 1045607, 2042180, 3528867, 5603690?\nAnswer: 8364671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = 4*u + 58, -3*u = 3*r + 39. Let a(p) = -2*p + 34. What are the prime factors of a(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -637 (base 8) in base 9?\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*z**3 + 10*z**2 - 10*z**2 + 7206*z.\nAnswer: -529*z**3 + 7206*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d4a + 0?\nAnswer: -d4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = i + 2, 26 = 4*i - 925*o + 930*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 at most -7751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(24) - sqrt(72)\/sqrt(3))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-3 + 33\/6). Solve -3*b + x = 11, -4*b - g = -4*x - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8\/3)\/((-140)\/(-9240)) is divided by 73.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -13 - (5 + 3 + -14) - 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1005 and 1259935.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 1. Let w be a(-3). Suppose u - 16 = j - 4*u, 9 = 3*j + w*u. Let c = 2\/453 + 421\/7248. Which is smaller: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*z - 3*l - 14, -z - 4*l = 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 7:53 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/67))\/(v\/(v**(-16)\/v*v))*v**(-2\/23)*v**(-12)*v assuming v is positive.\nAnswer: v**(-41787\/1541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 + 209 - 2609 + 431 - 1865 + 8694*c with respect to c.\nAnswer: 8694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 8*d + 16. Let q be 472\/24 + d\/3. Let h be (q\/2)\/(-7)*-4. What is the highest common divisor of 9 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*a + 15508, 12473 = 3*j + 4*a - 10759. What are the prime factors of j?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 42 = 25 - 18. Solve 4*a + m*a = 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 770 + 734 = 0. Put -1, -11, 8, w in decreasing order.\nAnswer: 8, -1, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o**(1\/7))\/(o**(1\/4))**25 assuming o is positive.\nAnswer: o**(-163\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30*89\/(-1602))\/(2*20\/(-8)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*sqrt(7)*-2)**2.\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = 3*o, 3*o - 105 = 3*g. Let d be (3\/(-11))\/(g\/(-20)). Sort 1\/3, 0.5, d, -1\/21.\nAnswer: d, -1\/21, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1231*g - 296*g**3 + 1231*g.\nAnswer: -296*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 divided by -3?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-279))\/(122\/549*(-3)\/2).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, c: 4, j: 4, b: 1, t: 4, o: 3}. Give prob of sequence btct.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8360 * 0.5\nAnswer: -4180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*d - 3, -d + 2 = -f + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 296 = -3*u + 59, u - 129 = 5*k. Which is greater: u or 118?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4100 and 4100 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -39*d**2. Let u(l) = 0*l**2 - 6*l**2 + 4*l**2. Determine c(u(n)).\nAnswer: -156*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1 - 2 - a + 5. Let r be o(0). Calculate the highest common divisor of 8 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 110201530*y + 607218860717045.\nAnswer: 5*(y - 11020153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-30 + 57) - -39?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*258020797\nAnswer: 516041594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w)\/w**6*(w*w**0)\/(w*w**(1\/3)) assuming w is positive.\nAnswer: w**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*o + 9 = 0, -19 = 4*q - 2*o - 21 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*j - j. Suppose 0 = -2*u - 5*q + 14, -12 = -j*u - 4*q + 4. Suppose -u*n - 121500 = 3*n. What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5 = -2*l + 7, -3*l + 8 = b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(162)*5)**2 + -3.\nAnswer: 36447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 7. Suppose 0 = -4*w - 4*y + 36, -8 = 3*w - 4*y - 7. Let z = 0.9 - 0.5. Put w, z, u in ascending order.\nAnswer: u, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -3)*(3 - (-51)\/(-18)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, b: 4}. Give prob of picking 3 b.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 92254, 369181, 830720, 1476865, 2307610, 3322949?\n\"Answer: -x**3 + 92312*x**2 - 2*x - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/13 - (-44)\/(-286). Suppose -3*d + u*d - 3*g = 296, 8 = 2*g. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-9)\/(-18))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 68.\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2330*k**2 - 2229*k?\nAnswer: -4660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4689647617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0.02, 2\/27, -23\/4 in increasing order.\nAnswer: -23\/4, 0.02, 2\/27, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + q - 12 = 4*q, 2*q + 8 = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.149054039 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075761 (base 8) in base 12?\nAnswer: 122095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1767*u**3 + 2*u**2 - 4*u + 2536. Let k(p) = -1766*p**3 - 3*p**2 + 6*p - 2540. Let l(c) = 2*k(c) + 3*n(c). What is the first derivative of l(t) wrt t?\nAnswer: 5307*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -24*d**3 - d**2 + d + 2. Let c(a) = a**3 - a**2 - a. Let g(u) = -c(u) - x(u). Find the third derivative of g(s) wrt s.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4) + (-3 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 16, 4*f = -f - 4*s + 41. Solve -2*a = i - 4*i + 7, f*a = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 114*g**2 - 401*g - 15693. Let x be t(109). Suppose 150\/13*v**2 - 2\/13*v**x - 3750\/13*v + 31250\/13 = 0. Calculate v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 6. Let x(c) = -2*c - 3 + 2*c - 3 - 2*c**3. Let u(p) = 3*n(p) + 2*x(p). What is the first derivative of u(v) wrt v?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*x + 12. Sort x, -6, 1 in decreasing order.\nAnswer: x, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -69, -11, 91, 249, 475, 781?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225498 and 1274.\nAnswer: 225498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (-1*sqrt(891) - sqrt(891))) + -4 + sqrt(11) + 2 + -2)**2 - (sqrt(396) + 3 + sqrt(396)*3)*2.\nAnswer: -272*sqrt(11) + 8634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**3\/3 + 6*t**2 - 36*t - 18. Factor l(j).\nAnswer: -(j - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 18*i**3 - 2*i**2 - 27*i + 2. Let r(v) = -37*v**3 + 5*v**2 + 55*v - 5. Let l(p) = -5*f(p) - 2*r(p). Find the second derivative of l(z) wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.621 + 26.621. What is the biggest value in -3, 3, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.332 + 5.032. What is the fifth smallest value in 0.4, 0.2, 0.067, y, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64442527 to the nearest integer?\nAnswer: 8028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)*b**(-4\/7))\/(b*b*b**0)**(-26) assuming b is positive.\nAnswer: b**(1066\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15239 or -15237?\nAnswer: -15237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzeu when four letters picked without replacement from {e: 1, z: 5, v: 1, u: 3, r: 5}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-24))\/((-3)\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.6 (b) -1 (c) -0.05 (d) -2.3 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696154203?\nAnswer: 439, 3863677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3053 - 9993 = -545*h - 48*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(352)*2*1 + sqrt(352))\/(-1*(sqrt(64)\/sqrt(8) + sqrt(8))).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(35\/630*-18).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14014312 (base 5) to base 11.\nAnswer: 97619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*d + 3, -95 = -5*x - 5*d. Suppose 0 = x*z - 16*z - 710. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*b - 0*b + 450. What are the prime factors of 5464\/b - (-4)\/(-30)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**3)\/u**(1\/2))\/((u*u**2)\/(u\/u**(-3\/5)))*(u**(2\/5)*u)**(-27)*(u\/u**6)\/(u*u*u**(-3)) assuming u is positive.\nAnswer: u**(-457\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16921728*f**4 - 71221795*f**2.\nAnswer: 406121472*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o + 2. Let y(s) be the first derivative of -199 + 11\/2*s**2 - 2*s. Calculate 6*m(j) + 5*y(j).\nAnswer: -5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s + 3. Let o(w) = w + 1. Let n(l) = 2*i(l) - 6*o(l). Suppose -16 = -2*x + 3*u, -3*x + u = -5*x. Let h(m) = x*m + 2 - 2 - 6*m. Determine h(n(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.1. Suppose -p - 8 = -5*p. Let y be 6\/(-45) - p\/(-6). Which is the nearest to -1? (a) k (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p - 18*p - 77053*p**2 + 14044*p**2 + 2*p.\nAnswer: -63009*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 0 + 3*y + y**4 + 0*y**3 + 0*y**2 - 1\/5*y**5. Factor b(v).\nAnswer: -4*v**2*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 26*a**2 + 83*a + 118. Let t be s(29). Solve -5*g - 5*y = -0*y + 5, -14 = t*g - 2*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, 1 b, and 1 g when four letters picked without replacement from pbppppgpmpmppngpmppp.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780027 = -3191*i + 3196*i - 2*t, -i + 156019 = 3*t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a (base 13) to base 11.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-5 + 2 + 2 - 0). Let y(o) = 2*o**2 - 6*o - 6. List the prime factors of y(q).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Let x(s) = -11*s - 7. Let a(y) = -6*y - 4. Let t(h) = 7*a(h) - 4*x(h). What is t(r(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (sqrt(11) - (sqrt(11) + sqrt(11) + 2)**2).\nAnswer: -49 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/7, -728, -0.1 in increasing order.\nAnswer: -728, -3, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36862.7+-8687\nAnswer: 28175.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 260, 4?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, a: 1, s: 7, b: 3, o: 4}. Give prob of picking 1 b and 1 p.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.372 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2073497 to the nearest one thousand.\nAnswer: -2073000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -14*l + 36. Let i(y) be the first derivative of 4*y + 3 + 4*y**l + 1\/3*y**3. What is i(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 16, -3*y - 2*s + 495 + 520 = 0. What are the prime factors of y?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 7:22 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15261550, 15261504, 15261386, 15261160, 15260790, 15260240, 15259474, 15258456?\nAnswer: 15257150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 910 and 14?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 934*g**2 + 6*g + 936*g**2 + 128*g**3 - 1868*g**2 to the form w + y*g**2 + a*g + h*g**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.270863 rounded to one decimal place?\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8025, -16051, -24077, -32103, -40129, -48155?\nAnswer: -56181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (11 + -18 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 + 208 - 4*l**3 - 65.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:49 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5389 - 1.4912. Let m = w + 1.02011. Let f = -0.067 + m. Round f to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/38165 and -61\/898?\nAnswer: 76330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 15 - 14 + 12981*w + 35.\nAnswer: 12981*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 2 - (167 + -136 + 95)?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*t + 243*t**2 - 244*t**2 - 113*t + 1564*t.\nAnswer: -t**2 + 1924*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 10517*p**2\/9 - 19865*p - 68\/9 = 0.\nAnswer: -4\/10517, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30\/59 - 1\/118. What is the nearest to -0.06 in -0.3, 0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/105*3\/(99\/21)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 73. Suppose -3*f + f + 36 = 0. Suppose f = 7*g - p. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5319 + 5363.13. What is t rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 596 divide 271180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Suppose 26 = b - o. Suppose -10 = -2*y - 2*z - 0*z, 3*y = 4*z + b. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 - 13*c + 9. Let p(w) = 20 + w - 14 - 7. Let f(x) = 5*p(x) + y(x). Give f(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 7185.\nAnswer: 1\/1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 1. Let c = -4 + f. Sort c, 4, 0.1 in increasing order.\nAnswer: 0.1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(500) + (sqrt(500) - 1*sqrt(500)))**2 - sqrt(500)) - ((sqrt(35) + sqrt(140) + sqrt(35))\/sqrt(7) + 5).\nAnswer: -2505 + 46*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15435)\/(-1176))\/(9\/24).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s - 5828630 = 4*s - 9*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*10\/270)\/(51\/(-27)*-3)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(176) + sqrt(176) + 1)**2 + sqrt(11) + sqrt(22)\/(sqrt(6)\/sqrt(3)) + -2.\nAnswer: -2117 - 46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.908 - 6859.\nAnswer: -6858.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-2)*6)\/((-2)\/((-20)\/(-15)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 65*u - 61*u - 14, 0 = 3*u - 24*c - 138 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 14, 50, 124, 248, 434?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose 0 = -v - t*v + 75. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + q. Let f be v(-1). Let w = -6 - -3. What is the second smallest value in f, 2\/5, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 8 = -5*z + 3*x, 0 = -z + x - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/460412 and 161\/10428.\nAnswer: 15193596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.45218 years to decades.\nAnswer: 4.745218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - q + 1)*(28470*q + 14077652*q**2 + 14523*q - 4 - 14077650*q**2 + 1) to v*q**2 + t*q**3 + h + j*q and give v.\nAnswer: -42993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 98*m + 319. What is z(46)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-6)\/96*-8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0.6. Let a = -2 - -2. Let i = 3.3 - -0.7. What is the closest to a in -3, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**8\/2800 - m**7\/700 + m**6\/600 + m**5\/100 - m**3 + 3*m. Let d(v) be the second derivative of a(v). Solve d(f) = 0 for f.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110283.1 centuries to decades.\nAnswer: 1102831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Let l = -4 + 8. Let k = l - r. Which is the closest to k? (a) 2\/11 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/7 + 132*a**2\/7 + 1707*a\/7 + 5610\/7.\nAnswer: 3*(a + 5)*(a + 17)*(a + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 982 - 980. Suppose 2*t + x*p - 6306 = 0, 4*t - 4939 = 3*p + 7645. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*p**2 + 27*p**2 + 31*p**2 - 83*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3931013 is divided by 1965505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(6)\/sqrt(3) + -4*(sqrt(2) - (sqrt(8))**2).\nAnswer: -3*sqrt(2) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -148996*q - 23. Let k(w) = 34*w. Determine l(k(s)).\nAnswer: -5065864*s - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - -4.9. Which is the nearest to 2\/3? (a) h (b) 3\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -27*a - 223. Determine x(2).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 2*u**2 - 7*u + 6. Let j be g(4). Suppose -3*i - o = -11, 2*i - 4*i + j = -2*o. Solve 5*t = -4*p - 7, 2*p = -i*t - p - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*s - 1363, 1372 = 5*i - 0*s - s. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297 - 586 + 289 - 5*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 11651*x - 186680. Determine z(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 2 (c) -34 (d) 0 (e) -1047 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/8))**(-3\/32)*(a\/((a**(-2\/13)\/a)\/a))**(-38) assuming a is positive.\nAnswer: a**(-398965\/3328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (279 + 9*l**3 + 4*l**3 - 277)*(-1 + 2 + 0) to the form h*l**3 + t*l + b*l**2 + r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 2 = s. What is the common denominator of s\/7 - 1 - 1 and 113\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47284 divided by 4.\nAnswer: 11821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/80*(-7)\/252*10.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -b - 2, -3*b = 15*g - 11*g - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -10. Let f(p) = 1 - 3*p - q - 1 + 2. Calculate f(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/9 of a day in minutes?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 2*r - 38*r)*(0 - 2 + 1)*(-1 - 1 + 0) - 51*r + 14*r - 2*r to b + l*r and give l.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (1 - 0\/3). Let c be 1\/2*0\/(-3). Solve -t*d + c*d - 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -354, -960, -1972, -3390?\nAnswer: -5214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29537 + -29513. Solve -183*j + 184*j + 5*s - f = 0, -4*j + 2*s = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 42.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 3, -319, -79.\nAnswer: -319, -79, -11, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126089, 4, -1, -13 in descending order.\nAnswer: 126089, 4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 5:46 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 0*q**2 + 0*q + 3 + 1\/3*q**3 + 1\/32*q**5 + 7\/480*q**6 - 1\/16*q**4. Let v(m) be the third derivative of t(m). Factor v(w).\nAnswer: 3*(w + 1)*(7*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 103762717 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-349 + 349 - 14*m + (0*m + m - 2*m)*(1 - 3 + 1))*((-6*m + 0*m + 4*m)*(-5 + 0 + 3) + 6*m - 15*m - 6*m).\nAnswer: 143*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 859518 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*3*(sqrt(3328) + 1*sqrt(3328) - sqrt(3328)))\/(-1*(sqrt(484) + ((sqrt(484) - sqrt(484)*1) + sqrt(484) - sqrt(484))*6)))**2.\nAnswer: 29952\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**2 - 31*r - 4. Let p be s(10). Suppose -17*l + p = -6*l. Calculate the greatest common factor of l and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 194864*x - 3508848.\nAnswer: 4*(x - 18)*(x + 48734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1341385849.00000108 + -1341385917. Let c = -68 - h. What is c rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23594*f**3 + 2*f**2 + 2411494*f?\nAnswer: -141564*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604*s - 327*s - 416*s - 850*s.\nAnswer: -2197*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v - 7. Let j be d(5). Let q be (4\/(-5))\/(3\/65). Let t = q + j. Put 1\/9, -0.5, t in ascending order.\nAnswer: -0.5, 1\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 28*q**2 - 138*q + 39. Let o be s(4). Sort 4, o, -12, -2 in decreasing order.\nAnswer: 4, o, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w = 4*p - 43, 3*w - p = -40. Let u = 1 - w. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*z - 2*u, -2*z - 6*u + 7*u = -20. Let i(p) = 2*p - 2. What is the remainder when z is divided by i(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927280254.\nAnswer: 2, 2377, 615751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + -8 + 0 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.3 (b) -1\/344 (c) -1\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -46. Solve -f = -5*f - g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 4618*u**3\/3 - 7180*u**2 + 3829. Find the second derivative of j(z) wrt z.\nAnswer: 9236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**4 + 4*y**2 - y**2 + 7*y**4 + (6*y**3 - 17*y**3 + 4*y**3)*(14 - 5*y - 14).\nAnswer: 34*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6252, 50047, 168924, 400425, 782092, 1351467?\n\"Answer: 6257*c**3 - c**2 - c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-2)\/6*29. Suppose 0 = d + 5*l - 0*l + u, 3*l = -15. What is the units digit of 14\/d*(-3 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 818646 and 16638.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-1366386\nAnswer: -1366386.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 12*x**2 + 2*x + 8. Let c be l(10). Let f = 284 + c. Suppose -5*p = 4*j - 182 - f, -p = -4*j + 282. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*-163\nAnswer: -3586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 218 - 214 = 0. Suppose -3*z - 2*r = -34 + 14, 25 = 3*z + r. Solve -3*g = -w - z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 + 15\/28. Let g = -359267\/205300 + -2\/51325. Put n, g, -2\/21 in ascending order.\nAnswer: g, -2\/21, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 = 18*v + 8*v + 6*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 + 3 + b + (3 + 3 - 3)*(-2*b - 3*b + 3*b) in the form j*b + o and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16569799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*j - 2*j**2 + 78*j + 4*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*p**4*q*t**2 + 2*p**3*q*t**2 - 5*p**2*q*t - 2*p**2*t**2 - 2*p*q*t - 11*q*t wrt p.\nAnswer: 648*p*q*t**2 + 12*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + 6*x + 0*x**2 - 11*x - 12*x in the form j*x**2 + n + a*x and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-235)\/(-15) - 15)\/((-2)\/(-45)). Let u be 35\/i*(72\/30 - 2). What is l in -2\/3*l**4 - 2\/15*l**5 + 2\/15*l**2 + 16\/15*l - u*l**3 + 8\/15 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80739992\/3 bigger than -26913330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + 8 + -2 + 2 + 9 + (55 - 72).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-324)\/(-8) - 39)*(-2)\/18*11.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.545 + -7.945. Sort -1, 0.014, -2, y in increasing order.\nAnswer: -2, -1, 0.014, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, h: 2, e: 2, r: 1}. Give prob of sequence hee.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 0 = 2*o. Let h be 4\/o*30\/(-3). Solve -7 = -4*t + h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20781 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 40. Suppose 5*u + 22 = b, 2*u + 54 = f*b - u. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42196830, -42196837, -42196856, -42196893, -42196954, -42197045?\nAnswer: -42197172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(-2 + sqrt(448)*1) + -2.\nAnswer: -48*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28300816 to the nearest integer?\nAnswer: 5320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, 5, 1, -4.\nAnswer: -6, -4, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/15*(319\/22 + -17). What is the nearest to 1 in 13, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.8 greater than -1663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 28 = 2*u, 5*a - 58 = 4*u - 6. Suppose -16*m + 8 = -a*m. Let g = 5 - m. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*g - 51. Let n = -20 + g. Let p(y) = y**3 - y + 2. Let j be p(0). Solve -q + 3*w = j*w + n, q + 3*w = 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -155\/9?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 16. Let j be s(8). Let c(r) = -r**2 + 9*r - 5. Let k be c(j). Let y(o) = -o**2 + o. Let v(a) = 3*a**2. Let h(f) = k*v(f) + 6*y(f). Factor h(q).\nAnswer: 3*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 43*r - 28385 + 1974. What is the highest common factor of r and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:15 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 3015761.231492.\nAnswer: 3015766.231492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139087 or 1808138\/13?\nAnswer: 1808138\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -20*u + 26*u - 77 + 81. Calculate o(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 25*g**4\/24 + 5*g**3\/3 + g**2 - 2*g. Factor z(v).\nAnswer: (5*v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296723, -296937, -297151?\nAnswer: -297365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38c2c136 + 1?\nAnswer: 38c2c137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -28.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + j**2 - 5*j + 855. List the prime factors of s(0).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17497, -34997, -52497, -69997?\n\"Answer: -17500*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 2*b. Let f(d) = -565*d**2 + 452*d. Calculate 226*a(q) + f(q).\nAnswer: -1017*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**3 + 23*i**2 - 110*i - 1847. Let p(g) = -3*g**3 - 8*g**2 + 40*g + 616. Calculate 11*p(v) + 4*r(v).\nAnswer: -v**3 + 4*v**2 - 612","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 31720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -22226454?\nAnswer: -22226460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - (-3)\/(-12)*-19. Let h be (-178)\/(-9) - 2\/(-9). Suppose 0 = -c - 2*k + 5, -4*k + 20 - 7 = 3*c. Solve a = j - 0 + 4, -o*j - h = c*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-1*-1 + 4 + sqrt(275) - 2*(-3 + sqrt(121)\/(sqrt(11)*-3)).\nAnswer: 10 + 20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 l, and 1 d when four letters picked without replacement from {l: 1, v: 3, d: 1, i: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/585*35\/(-84)*8?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -487273 > -487271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6317500 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(272) + 0)**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57150403483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. What is the tens digit of 1*(0 - (-33 + o))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 + -459 - (-17 - 79)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-620)\/(-6))\/(26\/195) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3 + 9. Suppose m = -n, 6*m + w*n = m + 3. Solve 3*g = -m*x - 0 + 3, -x + 2 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 734400 divided by -1080?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 8 + 0\/1 - -15. Let q(n) = -12*n + 45*n + 2 - v*n - 14*n. Calculate q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, f: 6, b: 1, w: 1, x: 3, c: 6}. Give prob of sequence dx.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (762\/(-3))\/2*(-546 - 5). Suppose 5*m - s = -14*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + h**3 + 827373*h - 827373*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391983930?\nAnswer: 2, 3, 5, 13, 335029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13058810.988 rounded to the nearest one hundred thousand?\nAnswer: 13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 4. Let y(w) = -j*w - 2*w**2 - 5 - 4*w**2 + w**3 + 3*w**2. Let p be ((-12)\/(-9))\/((-2)\/(-6)). Give y(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*v + 32, 187*v - 191*v = -5*m + 32 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11000011 (base 3) to base 9\nAnswer: -4004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**3 + 30987202 - 30987202.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 22 = -4*x. What is the remainder when 100\/3 + (-5)\/15 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvvv when four letters picked without replacement from {h: 2, i: 2, o: 1, s: 1, e: 8, v: 3}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (3 + 0)\/1. Suppose -39*d + 378 - 183 = 0. Suppose -3*b + 470 = -j*m, -465 = -d*b - m + 340. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/15*(-2)\/(-4). What is the closest to 1 in 0.5, 2, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s. Let b(w) = -7*w - 1. Let l(u) = 3*b(u) + 5*g(u). Let v be l(2). What is the third smallest value in 2, v, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/265167 and 38\/45.\nAnswer: 1325835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.68. Let w = 60406 - 60405.67987. Let n = w + f. Round n to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppj. What is prob of picking 2 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 395010 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 5 - 2*c - 2*c**4 - c**3 - 1 + 7 in the form x + b*c + q*c**2 + v*c**4 + i*c**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1906\/45 + -374\/9. Which is greater: -45 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*u, -4*t - 34*u = -33*u + 25 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3 + g + 15 + 8. Let k be a(0). Suppose 0 = 4*n - 3*n - k. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**3*s**2 + 3*c**3 - 124966*c - 2245620*s**2 - 123 wrt s?\nAnswer: -10*c**3*s - 4491240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410320 by 40.\nAnswer: 10258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v**2 - 3*v - 4. Let z(g) = 18*g + 103. Let r be z(-6). Is 42 a factor of l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 2*d**3\/3 - 9*d**2 + 16*d - 9. Factor v(q).\nAnswer: 2*(q - 8)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g + 9*g + 0*g - 5*g to i*g + f and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -566447 (base 8) in base 5?\nAnswer: -22114113","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*c = 6, -3*c = -0*c + 6. Suppose -4*f - 33 = -5*u, m = u - f + 2*f - 12. Suppose 4*v - u*v = -60. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**9\/1890 - n**5\/20 - 7*n**4\/6 - 10*n. Let s(a) be the third derivative of w(a). What is the derivative of s(g) wrt g?\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 71*s - 60. Does 28 divide q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/8, 1\/3, 0.72, -2\/5 in decreasing order.\nAnswer: 0.72, 1\/3, -1\/8, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 92 + 23*m)*(5 - 3*m - 5)*(3 - 1 + 3).\nAnswer: -345*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 26*f**2 + 170*f - 18. Give b(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2, -1, 5, 141, 0, 48 in increasing order.\nAnswer: -1, 0, 2, 5, 15, 48, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-112)*22 + (-5)\/(-40).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*l + 3*l + 51*l + l + 0*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49\/41 - 2183\/369. Let g = h - -7. What is the smallest value in g, -2\/21, 1\/7, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -218442 (base 14) to base 13.\nAnswer: -30a5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 837 and 42.\nAnswer: 11718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 28396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10270\/6 - (-10)\/30. Let j = -547 + w. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -267031546.8 and 9911.\nAnswer: -267021635.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1250.09 and -0.3.\nAnswer: -375.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004147241 rounded to 6 decimal places?\nAnswer: 0.000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 35, 88, 179, 320, 523, 800, 1163?\n\"Answer: 2*v**3 + v**2 + 10*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -45\/7 (c) 6 (d) 0.07 (e) -1\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-194160)\/4620 + 36 + 6)\/((-10)\/(-14))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 68.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.0521 + 1.0521. Put 0.5, -2\/5, -1\/14, d, -7 in descending order.\nAnswer: 0.5, -1\/14, -2\/5, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 19. Is 643 - 2\/(1 + y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2758 - -3?\nAnswer: 2762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1\/2 (b) -4\/3 (c) -35 (d) 1\/6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/4 + 11*c**3\/6 + 7*c**2 + 9*c. Let q be b(-6). Let l = -112 - q. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -p - 12 - 10, -2*p + 4 = -2*z. Which is the nearest to p? (a) -1\/4 (b) 2\/9 (c) -98\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/(145 + -150).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*s**4 + 123*s**2?\nAnswer: -2256*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33091, 33109, 33111, 33073, 32971?\nAnswer: 32781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*w + 7*w = 0. Is -10\/161 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 less than -567\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - c0990?\nAnswer: -c0998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33004 (base 7) to base 3.\nAnswer: 102022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 211 and -0.4.\nAnswer: -84.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.9536 and 4.\nAnswer: -31.8144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7212 = -10*o - 7032. Suppose -o*l - 18 - 2\/3*l**3 - 6*l**2 = 0. What is l?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*j, 7*t = 4*t - 2*j + 2. Solve -t*f + 5 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 3*l**2 - 5*l + 1. Give p(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/828 and -71\/21804?\nAnswer: 65412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -195. Let y = d + -112. Which is greater: y or 47\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 1468*t + 26 + 26.\nAnswer: 1468*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let v(u) = -1919*u. Determine v(z(b)).\nAnswer: -1919*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/6 + 89*r**4\/2 - 6737*r**3\/3 - 69779*r**2 - 2825053*r\/6 - 806707\/2 = 0.\nAnswer: -11, -1, 113, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1 - (-384)\/385). Calculate the greatest common factor of u and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1120 + 806*y**2 + 1120 - 809*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 2, s: 1, i: 1, c: 4}. What is prob of sequence scss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c + 7. Let n(f) = 2904*f + 48. What is -14*l(g) + 2*n(g)?\nAnswer: 5850*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34630.6 * -3.\nAnswer: -103891.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 36 = 5*j, 4*v = -j + 17 + 3. Suppose 0 = -5*t - 10, j*l + 4*t - 3*t = 26. Solve -2*y = -l*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one fifths of a second?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 7*q**2 - 11*q - 24. What are the prime factors of z(-6)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 20284.137 microseconds?\nAnswer: 0.0000056344825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/(((-27)\/(-18))\/3)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h. Let t(m) = 110*m. Calculate p(t(k)).\nAnswer: -220*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12)\/(123\/492).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3 + 0 + s + s**2 + (-s + 0 + 0)*(8*s + 13*s + 4*s) in the form z*s + p*s**2 + h and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + -30?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f - 1243949 = -4*f. Let u = f - 11448. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 16. Suppose -5*h - 3*c - 20 = 0, -20 = h + w*h - 2*c. Suppose -i + 1 = 0, 9*v = 5*v - 5*i + 9. Is v greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1160 and -53\/580.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1686932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:42 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 370, 341, 312, 283, 254?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/234)\/(2\/(-2))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5564867543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 384*n - 64825. Calculate j(169).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 592*a**2 + 7*a**5 + 1007*a**6 - 2*a**5 + 3*a**5 - 8*a**5 wrt a?\nAnswer: 120840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.76401225 rounded to 2 decimal places?\nAnswer: 23.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 3*sqrt(72)*-2)*-1*2*-5 + -1 + 4)**2 + -1.\nAnswer: -1800*sqrt(2) + 180008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/259 and 103\/487312.\nAnswer: 18030544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h + 9. Let b(v) = 370 + 809 + 2*v - 1178. Determine b(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -319*o + 322*o - 4*n - 94, -o + 42 = -4*n. Solve 17*k + o = 43*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34125)\/7*(24\/10 + 0). What is y rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n - n**2 + 2 - 2*n**2 - 6 + 4*n**2. Let v be g(-10). Let s = v + -6. Solve s*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 875.7385 minutes to nanoseconds.\nAnswer: 52544310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/4297, -0.5, -2\/7 in ascending order.\nAnswer: -0.5, -2\/7, -2\/4297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35847, -35761, -35675, -35589?\n\"Answer: 86*n - 35933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:18 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 5*w + 4. Let x be p(5). Find the third derivative of -2*c**x + 87*c**3 - 29*c**3 - 38*c**3 + 139*c**2 wrt c.\nAnswer: -48*c + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914854 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w - 3*w + 4*w as o + d*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 6:47 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 6*g - 5 + 5 to b*g + j and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/108540 and 43\/446823?\nAnswer: 26809380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29693227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9058.6 - 9062.4701. Let s = -0.1299 + d. Let z be 1\/(-3) - (-14)\/(-12). What is the closest to -2 in s, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/84 and 97\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - 1. Let p = c + 14. Suppose p*s = -2*f + 14, -4*f - 6 = -2. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*726\/(-113960) - (2 - (-72)\/(-37)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z = 0. Suppose z = -4*k + 5*s + 156, 0 = 7*k - 3*k - 4*s - 160. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -10.364.\nAnswer: -15.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*q**2\/5 + 51*q - 99\/5.\nAnswer: 3*(q + 11)*(8*q - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63842745*f**3*q - 17*f*q + 778631*q wrt f?\nAnswer: -383056470*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-15)*(5 + 15). Let l(q) = -2*q + 8. Calculate l(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.038458 + -0.1\nAnswer: -20.138458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/16104806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 95919.56 millilitres in litres?\nAnswer: 95.91956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -198503 (base 10) to base 11\nAnswer: -126158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/50*-5*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 6:51 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 18. Let u be k(-13). Suppose 3*m = -m + u. Is (-3)\/(-3) + m + 25 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-17812)\/(-3) - (-168)\/252 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -112. Let m = 1696.255856 - 1779.2558709. Let q = a + m. Round q to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215 - -224. Let q = 6 + 6. Suppose u + u - q = 0. Calculate the least common multiple of u and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 14) in base 15?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 55402351?\nAnswer: 55402333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31744*0.2.\nAnswer: 0.063488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/144 and -91\/12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 2:55 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (2 - 13) - -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74739.\nAnswer: 3, 7, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)*(q*q**(-5)*q)\/q)\/(q**(-1\/35))**26 assuming q is positive.\nAnswer: q**(-272\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -243. Suppose -3*w = 3*c - 160 - 266, w = 2*c + r. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3215218*i**2 - 28*i - 234783191?\nAnswer: 6430436*i - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.8 and -24.2.\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7134, -28587, -64312, -114285, -178482, -256879, -349452?\n\"Answer: 4*l**3 - 7160*l**2 - l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 48895057 a multiple of 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c4991 (base 13) to base 14.\nAnswer: -14c028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -685 < -684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**4 - 18*p**3 - 18*p**2 - 18*p + 18. Let x(m) = m**4 - 5*m**3 - 5*m**2 - 5*m + 5. Let d(b) = 5*l(b) - 18*x(b). What is r in d(r) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3515*o + 112407. Give a(-32).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -28. Let v = 3 + q. Let o be 3\/6*2\/4. Which is the third biggest value? (a) v (b) o (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*f**3*j + 10*f**3*m**3 - 4*f**2*j*m**3 - 5*f**2*j*m - 6*f**2*m**3 wrt f.\nAnswer: -180*j + 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (8 - (11 - (1 + -13)) - -63)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -2 - 1 - (29 - (27 + 10)) - 9\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*p + 52, -3*p - 4*f = -0*p - 34. Let w = -11 + p. Calculate the common denominator of -26\/5 and w\/(-4) + (-294)\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690678406 is divided by 3108.\nAnswer: 3106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z**2 - z. Let c(u) = -2007*u. Determine v(c(i)).\nAnswer: 40280490*i**2 + 2007*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v*v\/((v**(-12)\/v)\/v)*v)\/v)))\/v**(-14\/5)*v\/(((v**5*v)\/v)\/v)*v\/(v\/v**7))**(-35) assuming v is positive.\nAnswer: v**(-798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*p**2 + 80*p**2 - 166*p**2 + 33*p**3.\nAnswer: 33*p**3 + 119*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07601 - -590.22399. Let s = -590 + j. Sort -5, -11, s.\nAnswer: -11, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 11*m + 139. Let b be s(-7). Which is smaller: b or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2854*l - 2882*l - 1344 = 0 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 0.02, 3, -17\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68853 is divided by 272.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1 + 9 - 88*y**2 - y**3 + 95*y**2 - 7*y. What is c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**2 - 26*k + 4. Give t(5).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30)\/sqrt(90))**2 + 4 + -1*sqrt(75).\nAnswer: -5*sqrt(3) + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (334 - 122 + 101)*(-2 + 2 - 2)*(-2 + o + 2)*(4*o - 4 + 4).\nAnswer: -2504*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {u: 1, s: 1, r: 1, a: 1, l: 1, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 5*v**2 + 7*v + 5. Let c be l(-4). What are the prime factors of 9*1 + (-9 - c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75315 divided by -542?\nAnswer: -75315\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14423358 (base 9) to base 8.\nAnswer: -33241326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 932*(-10)\/20*-1. Let t = y - 335. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 15144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 = -13. Suppose 5*y = 5*r + 4280, -o*y - 102 + 2676 = -r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*224.1\nAnswer: 4257.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79342 + -52595. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 21*t**2 - 35*t - 19. Calculate l(-19).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*3 + -2*sqrt(68)*5)\/((sqrt(100) - -2*sqrt(100)*-3)*-5).\nAnswer: -sqrt(17)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 132 and -33217.\nAnswer: -4384644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 12*j**2 - 11*j - 5. Let g be s(11). Let n = g - -18. Let t = 98 + n. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21275500 to the nearest one hundred thousand.\nAnswer: 21300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3714.5 + -3715. Let r = 19.5 - 12.5. Put -24, j, r in increasing order.\nAnswer: -24, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4047 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3\/(-6))*5\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9599.637 days?\nAnswer: 829408636800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a + 8. Let q(z) = -1. Suppose h + 16 = -h. Let p(r) = h*q(r) - o(r). List the prime factors of p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -90 + 3?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = i - 2*s, -4357*s = -3*i - 4358*s - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1822467mg?\nAnswer: 182.2467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8703*c**3 - 8703*c**3 + 17407*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (110\/25)\/((-4)\/(-20)). Let t(y) = 5*y - 11. Let o(z) = z - 2. Suppose 2*l + 5*d = -0*d - 33, 0 = -3*l - 3*d - 27. Give l*t(r) + w*o(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 30571100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*a - 2*a + 5*n, 0 = 2*a - 4*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 17. Let v be 13\/(-3)*(4 + -1). Let u be r(v). Find h, given that -2\/9*h**u + 0*h**2 + 4\/9*h**3 + 2\/9 - 4\/9*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 7*c**5 - 2*c**5 + 2 - 2 + (-c**4 + c**4 + 2*c**4)*(3*c - 2*c - 3*c).\nAnswer: -13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((c + c - c)*(0*c + 3*c - c) - 22*c**2 + 39*c**2 + 35*c**2)*(-4*c + 2*c + 0*c) in the form o*c**2 + n + p*c + t*c**3 and give t.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*p + 18, -3*g - 3*p + 24 = 2*p. Suppose -r + 1 = -2*h, h + g*r = r + 7. Suppose 4*u - 1 + 13 = 0. Sort u, h, -2.\nAnswer: u, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1190*n + 1193*n = 12. Put 2, 44, 5, n in increasing order.\nAnswer: 2, n, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3448 or -3449?\nAnswer: -3448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (174\/4)\/(-3)*-2. Suppose 2*r - 97 = -117. Let d = w + r. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a391d (base 14) to base 4.\nAnswer: -3203202213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*r = -24, -311*r = g - 314*r - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 175\/61?\nAnswer: 175\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 266*h**2 + 20*h - 18. What are the prime factors of y(3)?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 14. Let m be 2\/3*3 + y. Suppose 4*g + 2*q + 5 = 7*g, -10 = -5*q. Solve g - 18 = -m*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15*(-3 - 48\/(-20)). What is the units digit of (f + -2)*(1 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j - 8. Let t be 2 + 2\/2 - (15 + 23 - 30). Let h(o) = o + 3. Let a(z) = 3*z + 7. Let b(i) = 2*a(i) - 5*h(i). Give t*c(m) + 40*b(m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n - 1 + 7*n - 7*n. What is a(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44575 is divided by 2120.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1\/2, -9, 11.8, 338?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 1:33 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14608 and 7563.287.\nAnswer: 22171.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3350545?\nAnswer: 5, 11, 60919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q + 8*q - 578. Let w = 93 + q. Calculate the remainder when w is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/11))**23)**2 assuming j is positive.\nAnswer: j**(46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 20. Let d(h) = 2*h - 22. Give -5*d(g) - 6*l(g).\nAnswer: 2*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -454 and -3.116216.\nAnswer: -457.116216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 364938 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 10:29 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -65. Solve -x - 13 = 4*o, -4*x + t = o - 7*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.8. Suppose 496*k - 502*k = 6. What is the closest to 5 in y, k, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 169*i**4\/30 - 104*i**3\/15 + 16*i**2\/5 + 16*i. Factor s(o).\nAnswer: 2*(13*o - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -12*u - 17. Let k be v(-4). Let r = 36 - k. Let 4\/3*p**2 - 4\/3*p**4 + 0 - 4\/3*p**r + 0*p + 4\/3*p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2282*s**4 - 93*s + 4 wrt s.\nAnswer: -27384*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (742 + 1639 - 12 - 424 + 3284)*(2*q + q - q) to the form x*q + n and give x.\nAnswer: 10458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 23*x**10\/151200 - 19*x**6\/720 - 13*x**5\/30 - 6*x**2. Let l(p) be the third derivative of y(p). Differentiate l(z) wrt z.\nAnswer: 92*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2267*p - 2918 wrt p.\nAnswer: -2267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6236384 litres?\nAnswer: 623.6384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -127*h**2 + 252*h**2 - 186*h - 121*h**2 + (0 + 0 + 2*h)*(0*h + h - 3*h) + (-1 - 2*h + 1)*(h + h + 0*h) + 0*h**2 + h**2 + h**2.\nAnswer: -2*h**2 - 186*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872) + 1)**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from ollllllllllo.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 6*w + 4*w + 109898, -3*w + 219800 = 4*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33957401?\nAnswer: 43, 607, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 80477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-1))\/(210\/175). Solve 0 = 5*c + x*s, -5*c + 22*s - 19*s = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5235983 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/(-11) - (-78514)\/1221)*81?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -31241204?\nAnswer: 31241205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -14*r - 19. Let g(q) = 7*q + 9. What is -9*g(h) - 4*v(h)?\nAnswer: -7*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2212 - -4429\/2. Let s(o) be the second derivative of 0 - 20*o + 1\/6*o**3 + n*o**2. Give s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23122 = -180*p + 53018 + 130320. Calculate the greatest common factor of 703 and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -79\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (588\/(-70))\/21*36\/(-8)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4685?\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-1)*-1 + (-449 - -372)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*x + 2*x + 313242. List the prime factors of x.\nAnswer: 2, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17887 - 17855. Which is bigger: c or -3\/25?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20b (base 12) to base 14\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*k + k + 60, -32 = 3*k - u. What is the remainder when 58 is divided by 1*(-2*(-9)\/6 - k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/10 + 4 + 15\/14.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(2 + -7) + 4. Suppose -k*s - 22 = -4*g, 5*g - 2 = -4*s + 5. Solve g*l**2 + 2*l**2 - 24*l - 9*l**2 + 12 - 5*l**2 + 27*l**3 = 0 for l.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1559713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((280\/(-50))\/(-14))\/(22*(-5)\/250)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = f - 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121938307?\nAnswer: 121938307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/12)*y**(-2\/11)\/y*(y**(-9\/7))**(-9\/2))**(4\/5) assuming y is positive.\nAnswer: y**(4331\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 2. Let h be g(4). Suppose 1 - 5 = 2*f - j, 0 = f - h*j + 5. Let x(u) = u + 2. Let c be x(0). Put 4, c, f in ascending order.\nAnswer: f, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + q + 545 = 0, -2*q - 306 - 109 = -3*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 30.05784 grams?\nAnswer: 30057840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 + 397. Calculate the lowest common multiple of l and 7.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6520)\/3912*(-6)\/85\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3\/7 (b) -0.2 (c) -2\/40197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (0 - (-3 - -5)). Let y = i + 24. Let r = -15 + y. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c - b537?\nAnswer: -b498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.9580383 and 0.5.\nAnswer: -18.97901915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 3*m**2 - m**2 + (0 + 1 - 2)*(-2*m**2 + m**2 + 3*m**2) + 3*m**2 - m**2 - 3*m**2 + 4*m - 4*m - 2*m**2 + 157 - 72*m**2 + 52*m**2 + 23*m**2.\nAnswer: -4*m**2 + 157","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17 and -5397.\nAnswer: -5414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*g + 4*g**2 - 5*g**2 + 315 - 314 + (11*g**2 + 12*g - 12*g)*(-5 + 0 + 3).\nAnswer: -23*g**2 - 13*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1251 divide 117053858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 1. Let n be k(2). Let t be (n - 4\/8)*34. Which is smaller: t or 19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000011 + 12?\nAnswer: -1222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 226433 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6338\/3 + 2121. Solve 10\/3 + p*w + 5\/3*w**3 + 20\/3*w**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1053 divided by 3.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 558126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*w + 2*w - 3*w)*(-6*w - w + 5*w)*(0*w**2 - 3*w**2 + 0*w**2) to the form c*w**2 + a + r*w**4 + h*w + b*w**3 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let v be (-16 - f) + 3 + -1. Let g be ((-1)\/(-3))\/((-1)\/v). Does 4 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*k - 22, -3*k - 3 = c - 1. Suppose n + 1 = -3*a, 2 = 5*a - 9*a - 2*n. What is the nearest to k in a, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k*k*k\/((k**(-32)\/k*k)\/k))\/(k\/((k\/(k**(2\/21)*k)*k)\/k)*k*k**(-4\/17)) assuming k is positive.\nAnswer: k**(8975\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/41, 0.2, -8416, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7692, 30504, 68514, 121716, 190104?\nAnswer: 273672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-7))\/((-69)\/(-299)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:44 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -204512241?\nAnswer: -204512250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20594, -41382, -62166, -82946, -103722?\nAnswer: -124494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 673800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 76?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/1629 and (-81104)\/37*(-1)\/2715 + 20\/(-25).\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551 - 277 - 19*n**3 - 274.\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12077613.\nAnswer: 3, 447319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.04 (b) -5 (c) -517 (d) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s + 18 = 141. Let d = 5 - 5. Which is the third biggest value? (a) d (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116e4d (base 15) to base 2\nAnswer: -11001011011111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**2 + 807024*u - 807024*u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 0*l**5 - l**5 + (-3*l + l - l)*(0*l**3 + 0*l**3 - l**4) + 32*l**5 - 42*l**5 + 28*l**5 + (-4*l**2 + 4*l**2 - 4*l**5)*(-2 - 1 + 0).\nAnswer: 34*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 d, 1 e, and 1 f when four letters picked without replacement from edpeeeeptepf.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*5\/((-40)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*u + 24, -8 = h + 6*u - 2*u. Solve 0 = -2*j + 2*i, 3*i + i + 32 = -h*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 102, 153, 206, 261, 318?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.9 + 9.802. Let p = o + 0.161. Let n = p + -0.1. What is n rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 824270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 540 + -539.9003. Let p = i + 0.2273. What is p rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3346988371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 21*m**3 + 8*m - 17. Let n(i) = -2 - 5*i + 9*i**3 + 5*i**3 + 10*i - 9. Let k(t) = -8*n(t) + 5*x(t). Find the first derivative of k(l) wrt l.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*i + 19604450*i**3 - 19604404*i**3 + 52*i in the form n*i**2 + g*i + d*i**3 + j and give g.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 11:44 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**2)**(7\/3))**(2\/5))**(-11) assuming x is positive.\nAnswer: x**(-308\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2622167*r + 7866510. Calculate q(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*y + 40*y + 1 - 1.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -17509*s + 315197. Determine r(18).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 - (14 + (-36 - -13) - -7 - 16).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1294.\nAnswer: -3882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooh when three letters picked without replacement from {h: 1, k: 2, f: 1, o: 10, m: 6}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -367, -394, -441, -514, -619, -762, -949?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 18*r + 15. Suppose 5*a - 4 = 3*i, a - r*a + 6 = i. Suppose i*f - 5*f + 3*j = -261, -5*f - j + 417 = 0. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044440?\nAnswer: 2, 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35255001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56131 (base 7) in base 16?\nAnswer: 3736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2\/3 + 43470*j + 2218415\/3.\nAnswer: -5*(j - 26099)*(j + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + -1 + 3 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34, 59, 78, 91, 98?\n\"Answer: -3*j**2 + 34*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3890\/7 (b) 1 (c) 0.14 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millimeter in micrometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 17 = 21, -4*b + 3*p + 28 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 1:58 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16*m**2 - 140*m - 9. Give x(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/540 or -233\/11552?\nAnswer: 1\/540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 11.000011. What is g rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191256028 to the nearest integer?\nAnswer: 13830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112.3 + 112.4069. What is r rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 81?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 49 = -8*n. Calculate the remainder when 55 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adw when three letters picked without replacement from {u: 1, n: 3, d: 2, a: 4, w: 2, g: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -4, 89, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1773 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26, -5, 40, 121, 250, 439, 700, 1045?\n\"Answer: 2*l**3 + 7*l - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*1 - (-12 - (-833)\/(-1)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = o - 6*o. Let u = 24.6 + 8.4. Let m = u - 30. Put 0.1, m, o in descending order.\nAnswer: m, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -13. Let s be 66\/(-14) + 26\/(-91). Put s, -2, p in descending order.\nAnswer: -2, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/95 and 137\/1824?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-6) + (-3)\/(-6) + (-140 - -140)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 467, 906, 1345, 1784, 2223, 2662?\n\"Answer: 439*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.1 + 125.1. Let t = 119 - f. Let y = 1360\/7 + -194. What is the closest to t in 2, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/289, 5, -0.3, 3, 2\/31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9361 = -18*b + 3977. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1477*a + 27. Let p be d(1). Factor 50 + 1820*u**2 + 109 + 170*u**3 - 70*u**3 + 145 - p*u.\nAnswer: 4*(u + 19)*(5*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5158 + 0.0858. Let z = -14.07 + 14. Let o = z + q. Which is the second smallest value? (a) o (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342237673?\nAnswer: 342237673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 55*w**2 + 7*w - 7. Suppose -3*q + 46 = 2*u, 0 = 31*u - 28*u - 6. Let t(c) = -18*c**2 - 2*c + 2. What is q*t(o) + 4*a(o)?\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 - 262*k**2 - 77*k + 705. What is t(-52)?\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/158 (b) 0 (c) 1\/5896\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*o + 7885797 = 0, 10514405 = 74*q - 70*q - 5*o. Round q to the nearest 10000.\nAnswer: 2630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-8)*2*(-57)\/(-513).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a - 33. Give o(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2850\/(-5985))\/((-12)\/21)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(18)\/(sqrt(9) + sqrt(324)) + (sqrt(128)*-1)**2 - ((0 + sqrt(72))*-6*1)**2.\nAnswer: -2464 + 8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280154.\nAnswer: 2, 7, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 8) to base 7\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1309, 2611, 3893, 5149, 6373, 7559?\n\"Answer: -g**3 - 4*g**2 + 1321*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**2*h**2 - 2*g**2 - 28057*g*h**2 + 45*h**2 + 6*h + 26 wrt g?\nAnswer: 4*g*h**2 - 4*g - 28057*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1123108 divided by -4.\nAnswer: -280777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77*q + 77*q + 12*q**2 + 2*q**2 - q**2 - 3*q**2 + (-q + 3*q + 0*q)*(-q + 3*q - 4*q) + 2*q**2 - 2*q + 2*q.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*w + 5, -4*k + 3*w + 5 = -0*k. Calculate the lowest common multiple of (-6)\/27 + (-328)\/(-18) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**3 - 2*p**2 - p**4 + 0 + 6*p**4 + 2 + 8*p**3 to the form f + w*p + v*p**4 + r*p**3 + c*p**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2137717362?\nAnswer: 2, 3, 11, 32389657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9 - -2)\/(-7))\/((-1)\/(-4)). Suppose 4*w + 2*m - 16 = 0, -g*m = 3*w - 3*m - 11. Let c be ((-9)\/3)\/6*-12. Sort c, 5, w.\nAnswer: w, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (15 - 8 - (-1 - -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2. Let w(b) = b. Let u(g) = 5*g. Let t(p) = -4*u(p) + 22*w(p). Calculate t(q(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*u - 83*u - 20. Solve 3*y + y = -d + 5, -4*d + 20 = u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (1 + -2)\/1. Suppose 0 = -0*f - x*f - t + 368, f - t = 128. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -73*u - 45. Let s(v) = 47*v + 36. Let q(k) = -2*b(k) - 3*s(k). Let g(w) = w**3 + 16*w**2 + 16*w + 19. Let m be g(-15). What is q(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 108*s**2 + s - 2. Let c be p(1). Let q = c + -103. Solve -q*i = -i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5 or -117243544?\nAnswer: -117243544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1772430 - -141540942512\/79857. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/3 + 1731*o**2 - 561694*o\/3 = 0. What is o?\nAnswer: -5299, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q + 1. Let g be c(1). Let l be (-4 + 4)\/(-2 - -1). Suppose l = 3*n - 463 + 127. What is the greatest common factor of n and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmn when three letters picked without replacement from {w: 2, m: 1, z: 1, g: 1, y: 1, n: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5849 - 5133. What is the remainder when k is divided by 233?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 93, 0, -5 in decreasing order.\nAnswer: 93, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 89. Let z be d*(-2)\/(-6)*(4 - 3). Solve -h - 9 = z*a - 4*h, 16 = -4*a - 2*h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*(40\/8)\/(-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55, -205, -457, -817, -1291, -1885?\n\"Answer: -o**3 - 45*o**2 - 8*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-104*i + 33*i - 6*i)*(-1 + 1 + i) to the form v*i + m*i**2 + k and give m.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1943\/60128 + 2\/1879. Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**2 + 120*f + 220 = 0?\nAnswer: -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -53. Find the common denominator of 665\/60 + u\/(0 + -3) and 3*(185\/80 + -2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109076\/15 - 7272. Are -1 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131321, 131260, 131199, 131138, 131077?\nAnswer: 131016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = -5*g, -5*n + 60 = -0*g + 2*g. Let k(a) = 29*a - 1. Let u be k(1). Is 34 a factor of 1 + u\/n*(1 - -49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/521344047 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312003003331 (base 4) to base 7.\nAnswer: 231300022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2730956 is divided by 3355?\nAnswer: 3341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 9:10 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and ((0 - -3) + (22 - 3))\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 394*h\/5.\nAnswer: 2*h*(h - 197)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -323.5, -2\/17, 0, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5042356?\nAnswer: 2, 11, 114599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221783 (base 9) to base 13.\nAnswer: -48474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 21 = -4*a, 0 = -5*p - 4*a + 11 + 16. Let y be -1*p*(-14)\/189. Put -1\/6, -4, y in ascending order.\nAnswer: -4, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69, -71, -83, -111, -161, -239, -351, -503?\n\"Answer: -z**3 + z**2 + 2*z - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omgommommg. Give prob of picking 1 m, 1 o, and 2 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1285 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 8 = -4*n, 5*n + 2*s - s - 11 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 265789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 4872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 5*l**2 - 248 - 87 - 251 + 61*l**3 + 586.\nAnswer: 61*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.082 - 0.12. Let r = 40534.73800116 + -40534.7. Let p = r + s. What is p rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Suppose 3*q - 2 = 7. What is the second derivative of 3*a**q - 3*a**4 - o*a**3 - 3*a + a**4 wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.1, -4.5, -6, -4, -0.44, -12, 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 13) to base 6.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12300 - -1220330112?\nAnswer: 1220311212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 308\/132*126\/2. Let k = 191 - v. What is the smallest common multiple of k and 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39, 31, 23, 15, 7, -1?\n\"Answer: -8*w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 10*q - 2. Let m be f(5). Is 32 + (16\/56 - m\/7) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*t - 69*t = 2700. Solve 0 = 26*v - t + 180 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q + 270. Calculate the remainder when q is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -188*k**3 + 63*k**3 - 155*k**3 + (-1 + 1 - 1)*(-k**3 + 8*k + 13*k**2 - 8*k).\nAnswer: -279*k**3 - 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 7 + 33)*(-3*g + 3*g - 3*g**3) + 4 + 4*g**3 + 2 - 5.\nAnswer: -245*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - 0.2. Let w = 0.015 + -0.975. Let o = w + p. Sort -0.2, o, -2 in descending order.\nAnswer: -0.2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -482 (c) 4 (d) -7 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, 42, 1\/3, 0.14?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*-3 + sqrt(45) - ((sqrt(315) - sqrt(315)*3)\/sqrt(7) - sqrt(45)))\/((sqrt(108)*-3)\/sqrt(12) + 1*-3*sqrt(9)).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*n + 38*n + 15*n**4)*(0 + 3 - 1)*(-6*n + 2*n + 3*n).\nAnswer: -30*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 - 279*f**2 - 2*f + 185. Let n be m(93). Let r = 5.7 - 0.7. Let y be (-2)\/7*(-1 - 0). What is the nearest to n in 9, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*n = 70. Which is smaller: n or -13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.783572 years?\nAnswer: 0.1783572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369567 is divided by 582.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -0.0774.\nAnswer: -1.0062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 8 = -s. Let f = s - 13. Which is smaller: f or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6277400, -6277397, -6277394, -6277391, -6277388, -6277385?\nAnswer: -6277382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*i + 572 + 1495 = 0 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*5\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(((-315)\/(-20))\/(-21)). Let v be 12*(10\/6 - 1). Solve v = -24*s + h*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) -1 (c) -1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 420 - 420.3. What is the second biggest value in k, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**2 + 6*r - 1186. Let a(u) = -6*u + 19. Determine -2*a(d) + 7*o(d).\nAnswer: -2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o + 4 = 0. Let l be (-54)\/(-9) + (o - -1). Suppose -212 + 57 = -l*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -5) + (1 - -1 - 11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51582275*q**6 - 18873859*q**2 - 2*q.\nAnswer: -6189873000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cchc when four letters picked without replacement from hcccccch.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 0, -28 in decreasing order.\nAnswer: 3, 0, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -943206 divided by 1?\nAnswer: -943206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 2*p**3 - 2*p**3)*(3*p**2 + 3*p**2 + p**2 + (-1 + 1 + 2*p**2)*(1 + 1 + 0) + p**2 + 0*p**2 + p**2 - 2*p**2 + 7*p**2 - 3*p**2 + 1 - 1 - 2*p**2).\nAnswer: -13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**3 + 642451*u - 779817.\nAnswer: 3*u**2 + 642451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3954 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 2, 3, -0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 1. Suppose -133*o - 224 = 175. Put o, -4, t, -5 in descending order.\nAnswer: t, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*d + 26. Let p = d + -4. Calculate the least common multiple of (1\/1)\/(p\/36) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11))**43*(q**5)**(16\/3) assuming q is positive.\nAnswer: q**(1138\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -73\/9 at least -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 10*y + 3. Calculate the common denominator of 1*(0 + 102\/(-21)) and (y - 3) + (-48)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*-1*((sqrt(832) - sqrt(832)*2) + -4 + sqrt(832)) + -4 + 1)**2*6.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b295 (base 14) in base 4?\nAnswer: -13133303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1283\/4, -5, -1\/3, 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.538, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 44 = 288*r - 283*r, 2*r = -3*z + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*a + 39216 + 4787 = 0. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*g - 9*g - 5*g + 20*g)*(-3*g + 3*g + 2*g).\nAnswer: 46*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2929 - 1269 = -175*b - 1840 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -276712.4161 rounded to the nearest 100?\nAnswer: -276700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 23 + -13 + -2 + 5 + 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15381 is divided by 7441.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5 or 75127021?\nAnswer: 75127021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -8. What is the tens digit of -2 + x + -1 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3 + 80838*j**2 + 916945680*j + 1956511190200 = 0.\nAnswer: -18830, -2759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z. Suppose 3*g = -z + 3. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6152 and 92280.\nAnswer: 92280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 833.1548089 + -833.15. Round x to four dps.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 924 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s + 5*s - 11*s + 0*s + 0*s + 2*s + (-2 - 3 + 6)*(2*s - 1 + 1) + 3*s - 5*s + s + (-2*s - 2*s + 2*s)*(1 - 3 + 1) - 2*s - 1 + 1.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -4*g - 118, -319*g + 320*g + 4*f = -33 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115617489.\nAnswer: 3, 13, 19, 37, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 124 = -4*c, 0 = -2*m + c + 2*c - 60. Let v = -25 - m. Calculate the greatest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**7\/1120 - 7*z**6\/480 + z**5\/20 + z**4\/2 + 83*z**3\/3 - 170*z**2. Let h(p) be the first derivative of t(p). Factor h(m).\nAnswer: 3*(m - 4)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7*1 - (-588 - 43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 112, 248, 446, 712, 1052, 1472, 1978?\nAnswer: 2576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*b + x - 9, 5*b + 2*x = -29. Let p = b - -9. Suppose -p = -4*k + 40. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 768 and ((-16632)\/(-1155))\/((-3)\/(-5))?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45.243 + -45. Let p = 1561.457 - 1573. Let q = p + o. What is q rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 213, 211, 209, 207, 205, 203?\n\"Answer: -2*t + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppppppqqnqqpqpppp. Give prob of picking 1 n and 2 q.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.06 + -1.46. Let d = 27.4 + s. Which is the biggest value? (a) 5 (b) d (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302994043?\nAnswer: 11, 17, 147299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jujyjuuyjyuujyj. Give prob of picking 1 u and 2 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/1056*(-34)\/170*-8?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28428.\nAnswer: 2, 3, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*v = 40, -40 = -0*u - 3*u - 2*v. Suppose -c - 2*o + u = o, -1 = 5*c - 2*o. Let r be (-366)\/(-594) - (-2)\/18. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 5 + 2682*r - 2575*r.\nAnswer: 107*r + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/44155 and -48\/5095?\nAnswer: 44993945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675 (base 9) to base 16.\nAnswer: 22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11491 - 227?\nAnswer: -11718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p*p**(-1)))))**(-45)\/((p**(-5)*p)\/(p\/(p\/p**(-3\/2)*p)))*(p**(-2)*p**(-4\/7))\/(p**0)**(2\/65) assuming p is positive.\nAnswer: p**(-645\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 0, 1, -3 in increasing order.\nAnswer: -3, 0, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10621 is divided by 226.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7305 is divided by 2435.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q + 5*d = -43, q + 17*d - 7*d = 5*d - 84 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -78, -156, -226, -288, -342, -388, -426?\n\"Answer: 4*p**2 - 90*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 5:42 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102176 - -197545. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 + w - 2. Let y(i) = -5659*i**3 + 59*i - 75. Let j(p) = -2*m(p) - y(p). Find the second derivative of j(s) wrt s.\nAnswer: 33918*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -605*q**3\/3 + 65065*q**2\/3 - 1706200*q\/3 + 13176500\/3 = 0.\nAnswer: 190\/11, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1004, -1006, -1008?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from wnqwrqrnnrrrqurrrrr?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2 - 3*t + 1. Let o(x) = -x - 3*x**2 + 19*x**2 - x**2 - 16*x**2. Determine j(g) - 3*o(g).\nAnswer: -2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1978067650212.99979 + -1978076422972. Let r = y - -8772711. Let l = 48 + r. What is l rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107047086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8 = 48. Suppose 0 = -f + 3*s + 44, -5*s + s - l = 0. List the prime factors of (-7 + 1)*f*(-5)\/10.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {d: 4, t: 3, q: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + 879998?\nAnswer: 880016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*i + 2892 - 475 = 524 - 3243 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41612 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51673470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104 + 103.568. Let l = r - -35.632. Let q = l - 35. What is the nearest to -0.2 in -3, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3254807 - 13268.1\nAnswer: 3241538.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2530185.\nAnswer: 3, 5, 7, 24097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98513 is divided by 921.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.003835 and 1.1?\nAnswer: 1.096165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3322, 3334, 3352, 3376, 3406, 3442, 3484?\n\"Answer: 3*n**2 + 3*n + 3316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j + 2. Let x be d(-2). Suppose 5*l = -4*z + 6, 0 = -5*l - 9 - 1. Suppose -x = -z*f + 12. Solve 5*m = 4*v + 25, -4*m - f*v + 4 + 16 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -29, -5, 8592, -4, -8, 3 in decreasing order.\nAnswer: 8592, 3, -2, -4, -5, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140 + 205. Suppose -3*q - s = -455. Suppose 3*v = 8*v - q. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 0*h + 0*h**4 - 8 + 4*h**5 + 0*h**2 - 14\/3*h**3. What is the third derivative of y(n) wrt n?\nAnswer: 480*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 456 - 458. Which is the closest to k? (a) -3 (b) 0.3 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0 - (25 - 23)) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349624?\nAnswer: 2, 11, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, z: 6, q: 8}. Give prob of sequence qvq.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112212210020022 + 10?\nAnswer: 112212210020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000010100100010 (base 2) to base 11.\nAnswer: 90511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.766134 to zero dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/9*1*(-6)\/10. Suppose -4*m = -31 + 11. Let w = 0.141 + -0.641. Which is the biggest value? (a) -4\/5 (b) x (c) w (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94\/3 + 31. Let p be (4\/(-20) + 0)*3. Which is the closest to -2? (a) p (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b339 (base 12) in base 2?\nAnswer: 11110000100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-20)*-3)\/((-34)\/5950*-35)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 - 39*f + 1. Let b be m(9). Let g = b - 63. Is 18 a factor of 10\/(-5) - g*23\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45570 and 292390.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1290 + 341 = -48*s + 287 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -662, -5, -1 in increasing order.\nAnswer: -662, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -103?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 14. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 19*p + 2. Let u(r) = p + 327*r - 641*r + 316*r. Give u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - 8*c**2 - 11*c. Let j be (22\/4)\/1 - (630\/(-28))\/(-45). Give a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -380, -671, -1052, -1535, -2132, -2855?\nAnswer: -3716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovvnunuouuevueuuveev. What is prob of picking 1 o, 1 u, and 1 v?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -31. Let a = -1.5 - -28. Let p = u + a. What is the second smallest value in 0.2, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 3*x**2 + 4*x. Let n be b(3). Find the common denominator of (14\/33)\/2*n and 17\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35687 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -575*f**3 - 25*f**2 + 50. Let v(z) = -48*z**3 - 2*z**2 + 4. Calculate 2*a(n) - 25*v(n).\nAnswer: 50*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-5))\/((-1)\/5). Suppose -190 = -5*q + c + c, 3*c + 51 = q. Let f = q + n. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*a**2 + 8*a + 1007 wrt a.\nAnswer: -24*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 11 = 5*j - l, -5*l = 4*j + 32. Let v = 6 + -10. Let h = j - v. What is the second biggest value in h, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 9*z - 6*z + 2)*(-4193 + 4193 - 441*z).\nAnswer: 6615*z**2 - 882*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 142 - 39*v + 164*v + 104*v - 848 - 29*v wrt v.\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**2 + 25*j**2 + 12*j**2 - 13*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -19. Suppose -1 = -i, -5*i + g*i + 16 = 3*a. Solve -a*u - 28 = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttth when four letters picked without replacement from thht.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/250 and 107\/643550?\nAnswer: 3217750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j. Let a(m) = 521*m + 1. What is a(q(l))?\nAnswer: -1042*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23645 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + 4*(3 + -4*(sqrt(180)*3 + -5))))**2.\nAnswer: -1824768*sqrt(5) + 15208704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 3*c**2 + 7*c - 6. Let l(h) = h - 5. Let w be l(7). Suppose -w*b + 7*b = 20. What is the units digit of p(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/55 >= 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -181.21 - -180.91. Let k = -0.42 - -0.02. Let w = -3053\/13 - -235. Which is the smallest value? (a) g (b) -5 (c) k (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30a2 + 36?\nAnswer: -306b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.44 - 24. Let t = -0.14 + d. What is the second smallest value in 11, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80775 and 2326320?\nAnswer: 11631600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -408 divided by -12\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*r**3 - 9*r + 1 wrt r.\nAnswer: 222*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*z + 6720 = 5664 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 256250*z**4 + 2*z**3\/3 - 5*z**2\/2 + 2*z - 3. Let o be w(2). What is o rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 - f + 3. Let r(m) = m**2 - 5*m. Let a(b) = b**2 - 5*b + 1. Let h(v) = 5*a(v) - 4*r(v). Let d be h(4). Let k = 1 - d. What is g(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 0*i + i**4 + (-4*i**3 + 0*i**3 + 6*i**3)*(4 - 2 - 1)*(2*i + 15*i - 9*i) to the form r*i**2 + w*i**4 + f*i + v + a*i**3 and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2642, 2642, 2644, 2648, 2654?\nAnswer: 2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/12 and 113\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 3\/20*q**5 + 0 + 0*q**3 + 0*q**2 + 5\/12*q**4 - 5*q. What is the third derivative of w(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67c (base 16) to base 9\nAnswer: -2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2729871 divided by 3\nAnswer: 909957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(17) - (1 + sqrt(17) + sqrt(17))) + 3 - (5 + sqrt(17) + (sqrt(17) - sqrt(17)*1)) - (sqrt(2448)*1 - sqrt(2448))**2*3).\nAnswer: -2*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70717463*g**3 + 8329306 wrt g?\nAnswer: 212152389*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 98727*q. Let o(l) = 5*l. Give o(s(r)).\nAnswer: 493635*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 6*a - 10. Let g be s(-12). Let j = g + -347. Let r = 7.79 - -0.21. Does r = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -283161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5*o**3 - 88*j**2*o**3 + j*o**3 - 110*j wrt j.\nAnswer: 20*j**3*o**3 - 176*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -56978 divided by 919\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (598 - 867 - 1505)*(0*q**2 + q**2 - 5*q**2) as s + v*q + a*q**2 and give a.\nAnswer: 7096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d39 - 0?\nAnswer: d39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-1)\/(5\/(-40)). Let j be (-25 - -22)*a\/3. Solve 0 = f + j - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4006 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (1*(3*-3*sqrt(108) - sqrt(108)))**2 + (((sqrt(108)*1)**2 - sqrt(108))*5 - (-1 + sqrt(108) + -1)) + -1.\nAnswer: -36*sqrt(3) + 11342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2206546 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141333360?\nAnswer: 2, 3, 5, 7, 84127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6259\/2 or -3131?\nAnswer: -3131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*g + 12 + 8, -2*a = 3*g + 10. Let w(n) = -n**3 + n**2 - n - 1. What is w(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 1. Let o(m) = -3*m**2 + 5. What is -o(k) - 2*z(k)?\nAnswer: 3*k**2 + 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5372 + 5419. Put 5, l, -23 in descending order.\nAnswer: l, 5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - l + 24 = 0. Solve 0 = -l*i + 3*t + 21, -5*i + 3*t + 31 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 23\/8 of a microgram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + a + 20, 2*a + 25 = -3*a. Let b = -15 - -19.5. Let z = b + 4.5. Sort 0.2, z, o in ascending order.\nAnswer: o, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 2*o**2 + 15*o - 15. Determine b(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 8:40 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s + 6 = a, -2*a + 3*s = -14. Suppose 3*t = t + 30. Solve f + a*f = t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((3\/5)\/(-3)). Suppose -2*t + 0*g = 5*g + 1, w*t = -5*g + 5. Which is greater: t or 4\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 8 + 2)*(-2 + 0 + 1)*(53 + 25*j**2 - 53) to the form z*j**2 + u + d*j and give z.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 304\/495 + 76\/45. Calculate the common denominator of -145\/18 and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7528*a**4 - 559*a**3 - 16144806*a**2 wrt a?\nAnswer: 180672*a - 3354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 divided by 2?\nAnswer: 547\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0 - 157*m**2 - 1\/6*m**3 + 0*m. Let y(d) = d**2 + 1. What is n(z) + y(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + 6*k)*(0*k**2 - 63*k**2 + 20*k**2).\nAnswer: -129*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178640.\nAnswer: 2, 5, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 1119*g**2 - 1119*g**2 - g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 38395 - 57715 = 53407. What is the remainder when w is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -333*d**8\/56 + 9*d**4\/8 - 2*d**3\/3 - 258*d**2. Find the second derivative of w(c) wrt c.\nAnswer: -39960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/40 + q**5\/30 + q**4\/12 + 65*q**2. Let w(u) = u**3 - u**2 - u. Determine p(n) + 2*w(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1)*((-6 + 3 + 4)*(5 - 1 - 2) + 7 - 6 + 10).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f + 4. Let u be k(-3). Suppose -2*y = -3*y - 3*h - u, -3*y + 5*h = 57. What is y rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2 - 2*o + 4. Let y(l) = -l**2 + l - 1. Let p(z) = -6*z - 3. Let n be p(-1). Let r be n + (4\/6 - 2\/3). Let x(w) = r*y(w) + t(w). Calculate x(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-7)*y**(1\/4))\/((y\/((y\/(y*y**(-2\/5)))\/y))\/(y\/(y\/(y*y**(-4\/5)*y)))))**(-38) assuming y is positive.\nAnswer: y**(2337\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + (2 - (5 + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.4133 - 5192.5133. Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**8\/(i**(-2\/7)\/i) assuming i is positive.\nAnswer: i**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:47 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327169 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9896 - 10011 - (1 + -165).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980204?\nAnswer: 2, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200 - 3104230?\nAnswer: -3104430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -837855*g**2*m**2 + 1115817*g**2 + 3*g*m**3 - 3 wrt m?\nAnswer: -1675710*g**2*m + 9*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-29)*(x\/(x\/(((x*x*x*x*x*x**(1\/4)\/x*x)\/x)\/x)))**(-8)*((x\/(x*x**(-2\/3)\/x))**(-1\/8))**(3\/10) assuming x is positive.\nAnswer: x**(47\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/9, 1332, 17, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11112 - -3?\nAnswer: -11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 409206 - 818438 + 409232 - 5*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5899022 is divided by 453768.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 7 - 14. Suppose -m + j = 2. Calculate the smallest common multiple of 8 and (-234)\/(-65) + 2\/m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -24. Let k be (-4 - -1*6) + a. Suppose -u = -k*p + 35, 5*p - 11 = 2*u + 29. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3982827 = -183*h - 595131. What are the prime factors of h?\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 less than -0.075768229?\nAnswer: -27.075768229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-4))\/w**(-1)*(w**(-1\/2)\/w)**(-8))**(-1\/4))**(-2\/5) assuming w is positive.\nAnswer: w**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 3. Let h = 2.5 + 7.5. Let d = h + -6. What is the third biggest value in d, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -1dc3?\nAnswer: -1dbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4758*p - 49. What are the prime factors of l(1)?\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 t when three letters picked without replacement from {t: 11, r: 5, o: 1}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 5*g**2 - 13*g - 13. Calculate the remainder when n(10) is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 83*s**4 - s**2\/2 + 8. Is a(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**2 + 2493*r - 1245.\nAnswer: -3*(r - 415)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h + 1. Let k(v) = -9*v - 1. What is -7*d(n) - 6*k(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2048\nAnswer: -5\/2048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2390*g + 228*g**3 - 2390*g. List the prime factors of h(1).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/66 + (4670\/1155 - 4)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = -p, 4*y + 4*p = -0*y. Suppose -y*s + 13*s = 432. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*f + 138390 = -433*f - 1315*f for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4210728 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115697 is divided by 3995?\nAnswer: 3837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4306.7694367 + -0.0405633. Let v = 4352 + a. What is v rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -7. Suppose -v*o + 15 = -o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218418847.2 minus 1842?\nAnswer: 218417005.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(297\/(-6))*(-99)\/11. Suppose 3*b + 0*b - 21 = 0. Let f(l) = -l + t + 3 - b. What is f(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(10\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14800 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + 0.1. Let b(o) = 498*o - 14944. Let j be b(30). What is the second biggest value in i, -3, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*b**3 + 195*b**3 + 246*b**3 + 255*b**3 - 962*b**3 - 146*b**2 + 146*b**2.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.01, -2, -6.4772.\nAnswer: -6.4772, -2, -4\/7, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1736.12 and 12.065.\nAnswer: 1748.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3641 is divided by 1182.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 - 1.49028087397.\nAnswer: -210.49028087397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + z = 30, 4*w + 12*z - 9*z = 26. Suppose w*l - 2*l = 7284. What is the remainder when l is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -36*f + 30*f**2 + 17*f - 114*f**2 + 58*f**2 + 17*f. Let o(m) = 36*m. Give b(o(r)).\nAnswer: -33696*r**2 - 72*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55 - (-4 + 9 + -4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2148 in 5, 2, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k**2 + 9*k**2 - k + 0*k.\nAnswer: 35*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 - 120*h + 260 = 0 for h.\nAnswer: -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 36. Let n = 35 - x. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22317594?\nAnswer: 2, 3, 13, 359, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**2 - 83*r - 51. What is s(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4.4, 0.4, -4, -0.07 in ascending order.\nAnswer: -4, -0.07, 0.4, 2, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsi. Give prob of sequence ts.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 92. Suppose 0 = -u*m + 16*m - 55. Which is the smallest value? (a) m (b) 0.6 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.19 (b) 1 (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1477*t + 5918 - 39889 = 0 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.637 + 11.037. What is the closest to 1 in 3, 1.3, a, -0.2?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 784843, 784865, 784903, 784957, 785027, 785113?\nAnswer: 785215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 218361863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnsismis. What is prob of sequence smn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*a**2 + 64 - 32 - 32 to the form z*a**2 + m + h*a and give z.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 5\/8 (c) -5 (d) 0.3 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38691\/6*(-8)\/(-6). Suppose -b - w + 41798 = 0. Suppose -b = -z - 3*z. Round z to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59775 and 146648.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -870*y + 11381. Calculate v(13).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41346 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3)*-1 - ((sqrt(24)\/sqrt(2))\/sqrt(4))**2.\nAnswer: -4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and -1.7.\nAnswer: -62.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -18, -17, -12, -3, 10, 27?\n\"Answer: 2*b**2 - 9*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17621436 is divided by 110.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 3. Let o be r(6). Let j(c) = c**2 + 10*c + 9. Let a be j(o). Solve a*b = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14160 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35413101231 + 5?\nAnswer: -35413101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*((-3276)\/(-56))\/(-39)*4\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1ab4 (base 12) to base 10\nAnswer: -3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/(-7) - 13 - (-166)\/(-14). Let b be (1\/z*10)\/((-3)\/18). Suppose -3*y + 0*y = -15. Solve 0 = -5*m + 5*v + y, 0*m - v - 25 = b*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 381534692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2187))**2 - (sqrt(48)*-2 + (2 + sqrt(3))*3)**2.\nAnswer: 60*sqrt(3) + 2076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhehezehezhezz. What is prob of picking 1 h and 1 z?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 - 6 = 0, -4*d - 4*v + 192 = 0. Let i = -35 + d. Let s = 2139 + -2139. Solve -3*z + 3*n + i = 0, s*n = 2*n + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50261 is divided by 1401?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 90 = 10*u. Solve u*t - 3*t - 12 = 4*r, -4*t - 2*r + 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/6, -1\/11, -2\/11, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 a factor of 1899534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -1673?\nAnswer: -1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 0*x**2 + 5*x**2 + (2*x + 0*x + 0*x)*(1 - 2*x - 1) + x**2 - 2 + 2 + (-4 + 5 + 1)*(-x + 2*x**2 + x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -770 + 2*r + 31*r**2 + 770 to the form n*r**2 + o + t*r and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrn when three letters picked without replacement from nnrnr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) -10 (d) -4 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 215103.2 - -1457036.8?\nAnswer: 1672140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 115130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6534 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3*i**2 + 3*b**3*i*p - 387*b**3 - 77*i**2*p wrt p?\nAnswer: 3*b**3*i - 77*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 45. Let n be a(-13). Suppose -c + n*c = 225. Calculate the greatest common factor of c and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301498944.92 take away 0?\nAnswer: -3301498944.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1058 + -1028. What is the highest common factor of s and 585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158774 * -3\nAnswer: 476322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {p: 2, y: 8, u: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 11.9 (c) 1 (d) 10229\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1644\/2485 - 32\/355. Let w = -6 - -4. Which is the nearest to w? (a) -5 (b) -3\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 126 = 129. Which is smaller: -1\/202 or i?\nAnswer: -1\/202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.01 + -0.01. Let x = -0.621 + -495.379. Let l = x - -497. Which is the nearest to l? (a) g (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 24*p**2 + 6*p - 83. What is r(24)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -213*d**3 - 3*d**2 - 12*d?\nAnswer: -1278*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1893042, 37 in decreasing order.\nAnswer: 1893042, 37, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(7) + -1*sqrt(7) - (sqrt(7) + -3)*4.\nAnswer: -4*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 543227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 23256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 3*k + 2 = 2*c, 0 = -5*c - 2*k + 2. Solve 4*w = -6*h + h - 36, 0 = 2*h + c*w + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -7. Let g(d) be the first derivative of 3\/4*d**4 - 2*d + 0*d**2 - 2 + u*d**3. Find the first derivative of g(p) wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16707, 16712, 16703, 16674, 16619, 16532?\n\"Answer: -t**3 - t**2 + 15*t + 16694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-38)\/((-31616)\/32)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24272820 a multiple of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27941509?\nAnswer: 31, 901339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61, 70, 91, 130, 193, 286, 415?\n\"Answer: f**3 + 2*f + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -10*y + 8*y + 33, 9 = -4*y - 5*t. Let g = 13 - 8. What is the nearest to -5 in g, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1. Let m(w) = w**3 + 3*w**2 - 8. Let o(y) = m(y) - 4*t(y). Suppose o(h) = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42229 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 6*k**3 - 5*k**3 + 33*k + 0*k**3 - 42*k**2 + 10 + 9*k. Let u be l(41). Put -1\/2, u, -0.3 in decreasing order.\nAnswer: u, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/20)\/(420\/635450). Let w = v - 524\/7. Calculate the common denominator of w and 41\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -7*a + 13. Suppose -5*c + 74 = 2*n - 10, -c + a*n + 12 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280011 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: What is the value of 4\/(-14) + 34\/119?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -1. Let d = -120 - -119.8. Put f, d, -0.3 in ascending order.\nAnswer: f, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 10*u - 23. Let l be s(-11). Suppose 5*m + 185 = -5*i, m + 0*m + 4*i + 46 = 0. Is l at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prpgrggnrgngg. Give prob of picking 2 n and 2 r.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 4:53 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2174, 2180, 2202, 2246, 2318, 2424?\nAnswer: 2570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q - 3*g - 44 = 0, 0 = 2*q + 2*g - 8. Suppose -22 = 5*l - 10*l - 3*s, q = 2*l + s. What is the greatest common divisor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**(-12)\/q))\/(q*q\/q**(-4)*q))\/(q**(1\/10)\/(q*(q\/(q\/(q\/((q\/(q\/(q\/(q**11\/q))*q))\/q))))\/q*q)) assuming q is positive.\nAnswer: q**(209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*l - 1 = 0, 2*l = -2*x - 25 + 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10588 + 6320. Let x = i - -4267.949904. Let r = -0.05 - x. Round r to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31742?\nAnswer: 2, 59, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*m**3 - 30*m**2 + 95*m**2 - 3*m**3 + 452*m - 33*m**2 - 30*m**2 as a*m**2 + i*m + b + o*m**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35270)\/2 - (-2 - (-8)\/(2 + 6)). What is p rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/27*(-12636)\/(-5265). Determine i, given that -1\/3*i**2 + 2*i - r = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17256\/19 or -908?\nAnswer: -908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nknhssnknnskn. Give prob of sequence snsk.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7712188686 - -0.03.\nAnswer: 7712188686.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 + 3695 = -22486*j + 22338*j - 2855 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214199 and 150080.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 + 1 - 1. Let l(i) be the third derivative of 0 + 5*i**2 + 0*i**4 - 1\/60*i**5 + 0*i**3 + 0*i. Give v(l(k)).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23151049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2165161 and 26447.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from criidsirdnnn. What is prob of picking 1 i and 2 d?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2. Let a(v) = 177*v**2 + 25*v + 5. Let o(k) = 47261*k**2 + 6680*k + 1336. Let x(c) = -1336*a(c) + 5*o(c). Calculate x(u(n)).\nAnswer: -2672*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34322134 (base 5) in base 13?\nAnswer: -aa136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-17)*a*a)\/a**(-7)*a**(-1\/6)*a**(-2) assuming a is positive.\nAnswer: a**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020058 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/9)\/(6\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 382. Let j be c(0). Let u be -60*1*1\/((-9)\/24). Suppose -4*l - j = -5*k, -2*k + l + u = 3*l. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + (-234)\/(-24))*16\/6. Suppose 0*p = -p. Solve p = -5*s - y + 2, -j*s - 2*y + 0*y = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045075 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 266497834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 426954798*v**2 - 94519418*v?\nAnswer: 853909596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u - 25. Suppose 4*x + 20 + 6 = -3*c, 4*c - 12 = 4*x. Let l be j(x). Let m(y) = -y + 5. Let p be m(0). Solve l*o = -p*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2788 in 3\/4, -32, -0.02?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50.78 + 54. Let s = -0.22 + v. Let p(f) = f**2 + 9*f + 22. Let q be p(-5). What is the fourth smallest value in -1, s, 0.2, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48632 - -223398. Suppose 19*o - 41*o = -z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 7*y**2 + 3*y. Let s be a(7). Suppose 3*d - 33*j - 110 = -34*j, -j - 65 = -2*d. Calculate the highest common divisor of d and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 11. Let p be 66\/(-20) + m + 3. Which is smaller: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 30773.5 and -350056?\nAnswer: 380829.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1573 + 3*p**2 + 1588 - 19*p**2 + 2*p**2 as u + s*p**2 + j*p and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -163742752*y**2 - 90245024.\nAnswer: -327485504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 6\/1 + 3. Let k = 4 + z. Let v = 613 + -582. Calculate the remainder when v is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p**3 - 27*p**2 - 94*p - 189. Determine l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 121 (b) 0.1 (c) -427 (d) -1\/4 (e) -0.1 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30069414571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*p = -23, 0 = 3*z - 0*z - 2*p + 17. Suppose 0 = -l + 38*s - 39*s + 13, 5*l - 5*s = 45. Sort 1, l, z.\nAnswer: z, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 3)\/(3\/51). Let w = x - 14. Suppose w*g - 276 = -3*h, 3*h = 2*g + g + 252. Calculate the greatest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - 2*r - 20. Let a be k(6). Let y = a - 276. Let z = 1093 - y. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -16*w**3 - 160156*w**2 - 7134760*w + 1793700 = 0.\nAnswer: -9965, -45, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 2*l - 26, 246*l - 23 = -2*s + 251*l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2834968 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 2*k**2 + 5*k - 9. Let l be z(3). Suppose r - 3*m = -3, 5*r - m + 0 = 13. Suppose 8*o = 14*o + 12. Sort l, o, r, -4 in ascending order.\nAnswer: -4, l, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2218568082?\nAnswer: 2, 3, 369761347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from kdgsdxs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348158*s**3 + 23408*s + 6 wrt s?\nAnswer: -2088948*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 104286*m - 2607156. Give z(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/8)*x**(-29)*x)\/((x**2\/x)\/x**(10\/3)) assuming x is positive.\nAnswer: x**(-625\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299377, 598757, 898149, 1197559, 1496993, 1796457, 2095957?\nAnswer: 2395499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 4551.\nAnswer: 4551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 - -0.03. Let l = 10 + -9. Which is the nearest to l? (a) 4\/5 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -650.2 times -0.07\nAnswer: 45.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 12:30 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4669 + 4642 + 4681 - 13992 - 8*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 12. Let y(u) = -u + 7. Let j be y(3). Let z = j + i. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*u + 773 = 2645. Let l(t) = 30*t + 3. Let d(q) = -690*q - 70. What is u*d(y) - 140*l(y)?\nAnswer: -60*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 569.0489 + -0.0489. Let z = t + -570. Let y = -18 + 39. Which is the nearest to 1\/3? (a) z (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(4\/5)*(u*u\/((u*u**(1\/5))\/u))\/u)**(-3\/2) assuming u is positive.\nAnswer: u**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 11) in base 2?\nAnswer: -10011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5 - 108*q**4 + 596*q**3 + 25500*q**2 + 48800*q + 24000 = 0. Calculate q.\nAnswer: -20, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mdddddmmmm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 1, -7.\nAnswer: -42, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - u + 629 = -0*j, 0 = 4*j + 3*u + 830. Let z = 835\/4 + j. Which is the closest to 1\/2? (a) z (b) -4\/3 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -381\/665 - -68\/95. Which is the fifth smallest value? (a) 5 (b) -7 (c) 0 (d) h (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 64, -4, -13\/3, 2, -2\/9?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - n - 153 = 0, -5*n - 137 = -3*g + 96. What is the lowest common multiple of g and 0 + (-56 - -28 - -34)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1863310018 to 3 dps.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 516 - 512. Factor -7\/2*i**3 - 1 + 7\/2*i - 3\/2*i**2 + 5\/2*i**g.\nAnswer: (i - 1)**2*(i + 1)*(5*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9999 and 1474.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**0))**(-1\/16)*(x\/(x**5\/x))\/x**3*(x\/(x**(-6\/5)*x*x)*x)\/(x**5*x)*(x**(-1))**(-6) assuming x is positive.\nAnswer: x**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80640 and 420.\nAnswer: 80640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6927 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 3 + 4*r + 3\/2*r**4 + 7\/3*r**3 + 5\/2*r**2. Let u(p) = 5*p**3 + 6*p**2 + 4*p + 3. Determine -4*h(m) + 5*u(m).\nAnswer: m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -3, 192, 475, 852, 1329?\nAnswer: 1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240982841\/20 - -12043925. Let x = l - -5219. Find the common denominator of x and -31\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - -3)*(0 + -851) - (-5 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 6 + 11 = 0. Calculate the remainder when 1 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1926 (b) 4 (c) -903\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2654 + 13*j**3 + 210*j**4 + 9*j**4 - 21*j**2 + 20*j**2 wrt j.\nAnswer: 876*j**3 + 39*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11743248 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(18\/(-12)*(-6)\/108).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -24 + -11 + 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3132250368 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*y - 75*y = 395*y + 6881 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8294719161 minus -0.59?\nAnswer: -8294719160.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2122 - 338*x**2 - 1548 - 574.\nAnswer: -338*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -2\/7, -6, 0.068, 3, 5 in descending order.\nAnswer: 24, 5, 3, 0.068, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2 = -3*z + 6, -5*z + q = -19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 73667.805.\nAnswer: 73666.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 564*o + 561*o + 19 = 0, 0 = b - 5*o + 13 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12060 and 2160415.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 4:02 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5}. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 58?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**4\/12 - 8*l**3\/3 - 31*l**2\/2 + 11*l. Let j be x(-12). Factor 9 - 7*i**2 - j*i**2 - 67 - 90*i - 2*i**3 - 42.\nAnswer: -2*(i + 2)*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 772 + -707. Calculate the greatest common factor of 91 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 61 = 51 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 50*p**2 + 318*p + 9. Determine f(-6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*b + 42*b - 1869. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4 + 25. Let s(f) = -f + 23. Does 8 divide s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174066 is divided by 29001?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**2 + 4*b**2 + b**2)*(21315*b**2 + 39*b**3 - 21315*b**2) + b**5 + 2*b**5 - b**5 + (-b**5 + 5*b**3 - 5*b**3)*(3 - 2 + 0).\nAnswer: -77*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77654 is divided by 25606.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -2980\nAnswer: 35760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-4)\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 + -258. Let c = t - -143. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -56*r + 2652. Calculate x(49).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/11 - 3848*n - 84648\/11 = 0 for n.\nAnswer: -21162, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -823d29 + 3?\nAnswer: -823d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 1\/7 + 0*r - 1\/7*r**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-1*6 - ((-1*sqrt(34))\/sqrt(2) - sqrt(17)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 16 = x - 5*q, -3*q = 5*x + 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 37578.86 to the nearest one hundred.\nAnswer: 37600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 2 + 3565*i**2 - 3552*i**2.\nAnswer: 13*i**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 435097907 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/12 - 18*k**2. Let v(u) = 14*u**2. Determine 8*n(t) + 3*v(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 12*z - 10*z + 176, 0 = -2*t + z + 172. What is the least common multiple of t and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(7)*1 + -2.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 360*i - 32*i**2 - 3 + 177*i + 238*i**3 + 182*i.\nAnswer: 238*i**3 - 32*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -76) + (1 - -9 - (30 + 7 - 17))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 - q + 1. Let f(t) = -2*t**2 - 26*t - 16. Let y be f(-13). Let g be (-29)\/(((-2)\/4)\/((-24)\/y)). Let s = g - 86. Give x(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sse when three letters picked without replacement from {s: 3, i: 1, e: 4, z: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 102 = -207. Let m = -1.1 + 1.3. What is the nearest to -2\/5 in 0.3, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 14*u + 11. Determine p(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4978264955.\nAnswer: 5, 17, 19, 3082517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*c - 5*y, 5*y = -0*c + 4*c - 37. Suppose c*p = 2*p - 1. Are p and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 12246 + 11154 - 990*t - 14142 - 33771.\nAnswer: -5*(t + 99)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 261*b**5 + b - 1144 wrt b.\nAnswer: 5220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 30*r**2 - 35*r - 14. Determine g(31).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(-24)\/(312\/(-65))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 - -90 - (4 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/5, 5, -2, -0.2, -1094\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - b - 4011, 1332 = -32*y + 33*y - 2*b. Calculate the remainder when y is divided by 331.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3411*m**2 - 63*m**3 - 10221*m**2 + 3395*m**2 + 3415*m**2.\nAnswer: -63*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -269 + 419. Let m = -149.9584 + n. What is m rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 42*l**2 - 79*l - 39. Let w be s(40). Put w, -2, 4 in decreasing order.\nAnswer: 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a + 31. Let z(u) = -14*u + 50. Let w(i) = 5*g(i) - 3*z(i). Let o(v) = v**3 + 4*v**2 + 2*v - 1. Let s be o(-2). Let t = -1 - s. Calculate w(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**4 - 5580*c**3 = 0.\nAnswer: 0, 1116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12211220 (base 4) to base 6\nAnswer: 324532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 z, and 1 y when four letters picked without replacement from pyzpfqqqyqykzfzzkzy?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 15*b - 23. Give v(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*t - 54 = 3*b, 5*b - t - 374 = 0. Find the third derivative of -29*n**2 - 36*n**3 - 2*n**4 + 3*n**4 - 3*n**4 + b*n**2 wrt n.\nAnswer: -48*n - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/6 + r**3\/2 + r**2\/2 + 2*r. Let d be c(-2). What is the second derivative of -4*s**3 + d*s**3 + 0*s**3 - s wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 + 1 - 1)*(17*y + 0*y + 33*y) - 16*y**2 - 4*y**3 + 16*y**2 + 17*y - 17*y - 6*y**3 to a*y**2 + i*y**3 + g + j*y and give i.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -82026940 rounded to the nearest 10000?\nAnswer: -82030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-20)\/(-140))\/(20\/(-4)*28\/245)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 68 = 5*z, 48 = 5*k + 2*z - 55. Let n be (3\/(k\/(-2)))\/((-6)\/84). Suppose -n*t - 351 = 5*t. Is t smaller than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.5 - 23. Let s = -43.500221 - r. Round s to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7255 and 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121282 (base 9) to base 16.\nAnswer: 11db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**2 + 20*t**2 + 2*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -34 - 14. Let j be (-1)\/(-4) + (-9)\/p. Solve 24 = 5*r - j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, r: 2, a: 1}. Give prob of sequence rraa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 3*c + 23. Let g(k) = -30*k - 6. Let q be g(-1). Is j(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 16 = -4*m, -r + 1 = 5*m + 35. Suppose -4*y - y + 65 = 0. Let w(d) = 4*d**2 - 7*d. Let o(x) = 2*x**2 - 3*x. What is m*w(a) + y*o(a)?\nAnswer: 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96177674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 108434515309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -15*a**3 + a**2 + 2*a + 1. Let q be u(-1). Suppose 2*o - q = 3*y, -2*y = -5*y + 9. Let m = o - 7. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2890*z + 30. Let m(g) = -1441*g + 14. Calculate -13*m(s) + 6*x(s).\nAnswer: 1393*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - (13041\/7740)\/7. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122533*o**3 + 78986.\nAnswer: 367599*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -0.1, 2, 2\/7, 2\/49, -151\/2 in increasing order.\nAnswer: -151\/2, -0.1, 2\/49, 2\/7, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2236970 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x**2 - 3. Let q(g) = -23 + 2*g**2 + 19 + 5*g**2. Let h(c) = -c**3 - 3*c**2 + 12*c + 7. Let r be h(-5). Determine r*q(u) + 4*p(u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 628*m\/3 + 2608.\nAnswer: -2*(m - 12)*(m + 326)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*(-1)\/(1\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 0.4 (c) -2\/5 (d) -0.2 (e) -3\/2 (f) 0.004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9971, -2\/9, 0.31.\nAnswer: -9971, -2\/9, 0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 = -5*o, -4 = 5*o - 5*v + 6. Let d be 120\/18 + (-1)\/o. Suppose x + d*q - 21 = 2*q, 0 = 3*x - 2*q - 29. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 5*j - 16. Let h be p(-7). Sort h, -5, 2, -3 in descending order.\nAnswer: 2, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (20\/(-140))\/(1\/(-35))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -238\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011 (base 2) to base 15.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7003701 and 6458?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-112)\/42*((-9)\/2)\/3. Suppose 3*l + 50 = p*g, 66 = 4*g + g - 2*l. Suppose -9 = 5*o - g. Let u(h) = 9*h**2. Give u(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70.06 - -70. What is the smallest value in -1, -2\/3, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11212, 11269, 11364, 11497, 11668?\nAnswer: 11877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -8)*(-10 + (-4 - (-2340)\/54))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**3 - 1302. Let d(r) = -1225*r**2. What is u(d(l))?\nAnswer: 4501875*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 1975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4174, 4159, 4144, 4129?\nAnswer: 4114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6 = 4*l, 2*j + 12 = -30*l + 24*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 2*c + 101 = 0, -2*x + 29 = 3*c. Suppose -3*v + x = -11. Suppose -4*p = -2*m + v, -m - m - p + 15 = 0. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {a: 2, f: 3, k: 3, b: 2, d: 9}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 22 + 8 = 0. Let t be (-8)\/12 + z\/(-3). Suppose -2*g + t = -0*c - c, 20 = 3*g + 2*c. Let o(x) = -2*x - 2. Let u(q) = 3*q + 3. Give g*u(b) + 5*o(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2*47\/6 + 28\/42). Let s = 106\/3 + -36. Is s >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 259, 488, 735, 1006, 1307, 1644, 2023?\nAnswer: 2450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2. Let r = -2.4 - t. Suppose 29*q - 12 + 12 = 0. Which is the third smallest value? (a) q (b) r (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 784, 1556, 2308, 3034, 3728, 4384, 4996?\n\"Answer: -r**3 - 4*r**2 + 791*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/2187, -2\/7, -4 in decreasing order.\nAnswer: 2, 2\/2187, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*b + 3*b. What are the prime factors of b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6520431 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 x, 1 u, and 1 o when four letters picked without replacement from uxabo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**12*k)\/k**(-2\/29))\/(((k*k**(-1\/5)*k)\/k)\/k*k*(k**(-1\/10)*k)\/k*k) assuming k is positive.\nAnswer: k**(-2793\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -7\/2*n**2 - 26 - 7*n - 1\/3*n**3. What is t(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c**3 - 3*c)*(2 - 1 - 27)*(2 + 0 - 1).\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24 + 167*v**2 - 79*v**2 - 3*v - 83*v**2 wrt v.\nAnswer: 10*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 - 75. Suppose -3135 = q*d - 17*d. What is d rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515941709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/4 + 4*a. Let i(v) be the first derivative of -v**2 - 27. What is i(f(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/19 (b) -2\/9 (c) 13\/9 (d) -0.5 (e) 0.39382\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**5 - 1673*s**4 + 6*s**3 - 644951*s**2.\nAnswer: -60*s**2 - 40152*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 57. What is the greatest common divisor of 156 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533424*t - 519 + 519.\nAnswer: 1533424*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, 4, -14.1, -327, 5?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 23625 = 14*r + 3*o, 3*r - 23649 = 5*o. List the prime factors of r.\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 31. Suppose 5*i = i + j. Solve -2*h = x - 0*h + 6, i = -x - 4*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {r: 1, m: 2, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 5:15 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*p + 90 = h, p = 5*h - 102. What is the greatest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -77*i**2 - 7*i. Let q(p) = -51*p**2 - 5*p. Let j be (-1 - 2)*((-1241)\/(-51) + -26). What is j*y(b) - 7*q(b)?\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.371182 days to minutes.\nAnswer: 1974.50208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - i - 1. Let f(o) = 8*o**2 + 3*o + 2. Let p = -7 - -12. Let t = 4 - p. Let v(a) = t*f(a) - 2*y(a). What is the second derivative of v(x) wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2039 - 9?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/7250582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from eggelglkegeee.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 32 = -527. Put z, -3, 5 in descending order.\nAnswer: z, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13578 or -13575?\nAnswer: -13578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002779 to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 159, 505, 1145, 2169, 3667, 5729, 8445?\nAnswer: 11905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -9 + (0 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/4 - 42\/28. Let o be (1 + (-4)\/s)\/(2\/(-4)). Let t = 5\/3 - 2. Which is the closest to t? (a) o (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90088?\nAnswer: 2, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -136.\nAnswer: -23\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50*1)\/(-33*58\/(-957))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*o + y + 55, 0 = 5*o - 3*y - 97. Let i be o\/(-102) + (-1046)\/(-6204). Let l = 1049\/7755 - i. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*j**5 + 3*j**5 - j + j**5 - 12 wrt j.\nAnswer: 460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3717447 divided by -2.\nAnswer: -3717447\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z**2 + 28*z**2 + 5*z**3 - 81*z**2 + 8*z**3 + 31*z**2.\nAnswer: 13*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -237.9 + 12.1. Let j = s - -226. Which is the fourth biggest value? (a) j (b) 0 (c) -19 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - -8 - (-12 - -16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 52.1. Suppose 6*b - 3*b = -6. What is the closest to z in 0, b, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1032 - -1025)\/((-14)\/(-24))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 10. Let l be 30*(12\/h + -253). What is l rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*n - 12, -2*r - 4 + 0 = 2*n. Let l be (r - 2) + 3\/3. Suppose p + l - 1 = 0. Which is smaller: 6\/11 or p?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**2 - 279*w - 729 with respect to w.\nAnswer: -2*w - 279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 86680*h**3 + 941772800*h**2 + 56194752000*h.\nAnswer: 2*h*(h + 60)*(h + 21640)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000397874 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 - 4*g + 4. Let d be r(5). Let n be (3\/2)\/(d\/4). Let l = -61\/4 - -15. What is the nearest to n in 2, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5260*m - 5. Let u(c) = -3*c**2 - 3. What is n(u(r))?\nAnswer: 15780*r**2 + 15775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 48*p + 3902. Calculate x(44).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*(sqrt(14) + -3*sqrt(686)))\/(sqrt(7)*1*4 + -1*(sqrt(7) - sqrt(7)*-2)))**2.\nAnswer: 115200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - 17\/4. Let r(a) = a - 2. Let v(n) = -n**2 - 5*n + 5. Let w be v(-6). Let f(q) = 1. What is t*f(k) + w*r(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5 = 7. Suppose -d*f + f = -26. Calculate the remainder when 23 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305 - 305 - 1405147*j**2.\nAnswer: -1405147*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890.6 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138314823539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -661*q + 204*q - 23764 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38668 and 168?\nAnswer: 232008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*p - 45 = -2*p, -2*p + 15 = -m. Let w(b) = -b**2 - 15*b + 18. Calculate the least common multiple of 6 and w(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8141878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 669 - 113 = -28*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14293\/1563 less than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 142 = 44. Suppose -p = s - 8*s. Solve 2*o + 1 = -s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18710 - 18717. Let x(f) = -69*f - 6. Let y(d) = 68*d + 5. Determine c*y(w) - 6*x(w).\nAnswer: -62*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -40. Suppose 2*n + h = 2*d - 3*n, 5*d = n + 2. What is the nearest to d in -1\/2, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/11 + 1999230*y\/11 - 3998468\/11 = 0. What is y?\nAnswer: -999617, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 9*y + 16. Let n be i(-5). Let z be n\/6 - (-196)\/42. Suppose z*v + 368 = 2*b, 2*b = 7*b - 5*v - 915. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3585 (base 13) in base 16?\nAnswer: 1d79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69316*i**3*u**2 + 116*i**2 - 21*i*u**2 + 4*i*u wrt i.\nAnswer: -415896*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*r - 148*r - 16 = 0. Put 5, 1, 9, r in decreasing order.\nAnswer: 9, 5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.527 + -1.412. What is k rounded to 2 decimal places?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 1\/2*o**2 + 1 - 3\/2*o**4 - 13\/2*o**3 + 9\/2*o + 2*o**5 = 0.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(343) + sqrt(343) + -2)**2 - sqrt(343)).\nAnswer: -63*sqrt(7) + 1379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**5 + 8*w + 7. Let u(a) = 3*a**5 + 9*a + 6. Let g(t) = -6*i(t) + 7*u(t). What is the second derivative of g(x) wrt x?\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*h - 4, -2*h + 5*m - 2*m + 4 = 0. Calculate the greatest common factor of h and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*c - 8, 5*c - 23 = -3*d - 3. Suppose 2 = u + 5. Let i(o) = -19*o**2 - 517*o - 104. Let n be i(-27). Sort u, n, d in decreasing order.\nAnswer: n, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 11*k + 30. Suppose -87*d - 853 = 87*d + 713. Give x(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 78a?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.44 - -19.44. Let f = d + -17.8. Which is the smallest value? (a) -0.5 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3103*z - 3149*z + 130 - 498 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3208145119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 206.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/120 + f**3\/3 + 5*f**2. Let h(q) be the first derivative of c(q). Let u(g) = 5*g**2 - 6*g**2 + 0*g**2. What is h(u(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 29699390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/91, 32\/3, 0, 3 in increasing order.\nAnswer: -5, -2\/91, 0, 3, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-40) - 36\/720. Which is the closest to 2\/3? (a) 8.02 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i - 1. Let m(n) = 56*n + 5. Let c(g) = 2*m(g) + 11*s(g). Let h(l) = -17*l**2. Give h(c(u)).\nAnswer: -68*u**2 + 68*u - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most 97\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -6398 and -9048.\nAnswer: -15446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2361717 and 567?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*l + 916, 2*g - 317 = -3*l + 48. Calculate the highest common divisor of 1058 and g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by 251.\nAnswer: -77\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 112992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*64\/24. Let y(t) = k*t + 10*t**2 + 4*t + 28*t**3 - 29*t**3. What is the tens digit of y(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10821 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6658, 26634, 59928, 106540, 166470?\nAnswer: 239718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7422 smaller than 7415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8102 - 8102.148. Let h = -1.06 + 0.06. Is p at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cncn when four letters picked without replacement from nnncc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182090028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5055)\/(-6)*(56\/(-10) - -6).\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/160)\/(2*(-39)\/(-24))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 549?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41692 * -0.418.\nAnswer: 17427.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(25857 + 4*p - 26757 - 2*p)*(-4 - 4 + 7).\nAnswer: -4*p + 1800","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 18, 49, 102, 183?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*l + 109218 = 3181*l + 1331*l + 394633 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15\/14 (b) -6 (c) 20 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 2*h + 2. Let w be t(0). Let k(m) = -2*m + 9 + 30*m**2 - w*m - m + 3*m. Is k(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-521)\/5*(0 - 20\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4251 (base 10) to base 12\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 minus -0.5?\nAnswer: 477.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*m + 37 = -102, -4*k + m + 110 = 0. Sort 5, 2, 1, k in descending order.\nAnswer: k, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 times 768053?\nAnswer: 106759367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*w = -8, 5*f - 4*w - 9 - 5 = 0. Calculate the smallest common multiple of 1\/2 + (-43)\/(-2) and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 11 = -34. Let u(i) = 9*i - 27. Is 3 a factor of u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220883?\nAnswer: 13, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(4\/7))\/(q*q\/q**(-1\/3)*q))\/((q**(-6)\/q)\/q**3) assuming q is positive.\nAnswer: q**(149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*r, 5*j + 4*r + 0 + 9 = 0. Let l = -38 + 27. Let v = j - l. What is the highest common divisor of v and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*q - q. Suppose 23*y - q = 21*y. Calculate the remainder when 81 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -22, -43, -72?\n\"Answer: -4*v**2 - v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by -104.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 19*t + 16. Suppose -2*s - 47 = -t*s + f, 0 = 2*f + 10. Calculate the highest common factor of 231 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*n + 256*n + 207 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -793320 by -241.\nAnswer: 793320\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 4*n + 12. Let h(t) = -2*t**2 - 9*t - 6. Let i(f) = f**2 + 8*f + 5. Let z(k) = n*i(k) + 5*h(k). What is the second derivative of z(m) wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 4*n**2 - 4*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9055670, -18111331, -27166992, -36222653, -45278314, -54333975?\n\"Answer: -9055661*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {e: 2, z: 2, k: 1, n: 2, p: 2, a: 7}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141068 (base 14) to base 5.\nAnswer: 134204244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98024420*b**5 - 154363203*b**2 wrt b?\nAnswer: 5881465200*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cscs when four letters picked without replacement from ssccssss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 12*p**2 - 4*p - 10. Let r be i(-5). Let a = r - 92. Suppose -2*c - q + 84 = q, 0 = 2*c - q - a. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*o = 38*o - 110 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -7. Suppose q*d = 2 + 2. Suppose 41 = 4*w - g + d, 4*w - 5*g = 19. What is the remainder when 31 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (6 - 1)) + -75 + -2 + (-52 - -45)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 7:12 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5645*g**3 - 7*g**2 + 7*g - 2524. Let n(t) = 1881*t**3 + 2*t**2 - 2*t + 840. Let x(o) = 7*n(o) + 2*y(o). Differentiate x(z) with respect to z.\nAnswer: 5631*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 9a396a34?\nAnswer: -9a396a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwbwwxbrbwwrwxwbcr. What is prob of sequence bwwb?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 2, 210, -2, 3, -1067.\nAnswer: -1067, -2, 0, 2, 3, 4, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 + 10 = 0. Let f(z) = 2*z**3 + 11*z**2 + 9*z + 21. Let t be f(-5). List the prime factors of (12\/(-3))\/d - t*-254.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80497\/12 - -6701. What is the common denominator of y and 83\/1974?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1895 - 2107 = 138*t for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273578632, 547157266, 820735900, 1094314534, 1367893168, 1641471802?\nAnswer: 1915050436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -283 or -285?\nAnswer: -283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 211627243 (b) -0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 33.6157 weeks?\nAnswer: 235.3099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 212 + -9. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 1 + 7. Let y be (2\/1)\/(-3 - v). Suppose 3*i + 3*k - 240 = 6*k, -y*i = -5*k - 163. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11862.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 2}. Give prob of sequence coc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 43. Let q be ((-11)\/3 - -1)*-6. Suppose 0 = -4*z + 2*y + 4, 5*y + 2 = -2*z + q. What is the greatest common divisor of z and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/27816 and 61\/798.\nAnswer: 194712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2 + 0*k - 1 - 2*k + k + 0. Let r(q) = 8*q**2 - 1. Give j(w) + r(w).\nAnswer: 8*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 29, -3\/4, -0.3 in descending order.\nAnswer: 29, 0.5, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnmnnmnnnnnnnmmmmn. Give prob of sequence mnmm.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032168 is divided by 103.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3087, -1 in increasing order.\nAnswer: -10, -1, 3087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 4. Let z be b(6). Let l(p) = -z*p + 4 - 1 + 7*p. Is l(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 smallest value in -3\/7, -103\/2, 12\/35, -1, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Round -7820 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163 - 165. Which is smaller: 1\/145 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**2 + 13*w - 36681. Suppose 5*o + 0 - 35 = 0. Let q(u) = u - 9. What is o*q(t) + 5*n(t)?\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 528414 - 372414. Suppose -y + 3*y = -q. What is y rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-6)*18\/12*84\/392\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 - -86. Let n be -5*(d\/10 + -2). Let f be (0 + 3)*180\/n. Solve 0*k + 4*k - f = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 0)*(0*o + 0*o - o) + 3*o - 4*o - 2*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370372?\nAnswer: 2, 92593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2 - -36.44.\nAnswer: 35.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288 divided by -8?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejaejaere. Give prob of picking 1 j and 1 a.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -731*d**5 - d**2 + 4035*d + 682. What is the second derivative of i(o) wrt o?\nAnswer: -43860*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brr when three letters picked without replacement from {r: 3, e: 1, a: 1, b: 5, j: 3, s: 1}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.5. Suppose -l = 3*v + 30, 5*v + 32*l - 37*l = -30. Let u = -0.498 + -3.502. What is the second smallest value in v, f, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 10:41 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 37*j - 4. Suppose 8 = u + d, -5*u - 11 + 54 = 2*d. Is t(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 8:21 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ab + -4?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 118912201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-6))\/((-26)\/12). Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1*(1 + -4). Suppose -f - d + 10 = 0. What is the remainder when (-69)\/(-4) - 406\/(-232) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 17 + -5 - 5. Which is the fourth smallest value? (a) 3 (b) 0.4 (c) s (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11) + 1)**2*3 + 5 + -3 - -5*(1 + (sqrt(11) + sqrt(11)*-1 + 2)*-5).\nAnswer: -7 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 15.99945. Round q to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-24))\/((-11)\/8)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.53 and -1728?\nAnswer: 1729.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51\/6*1396\/2*1 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 22) + (37 - -31)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3 - 62*h + 61*h - 3. Let x be z(-1). Is x less than -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 28741*d + 2568. Is k(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30587, 30670, 30753?\n\"Answer: 83*d + 30504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827 is divided by 160.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -9*y - 40. What is the second derivative of 332*z - 93*z**4 + 33*z**y + 6*z**2 + 95*z**4 wrt z?\nAnswer: 24*z**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8468 - -8469. Let l(d) = d**2 - 2*d + 2. Let z be l(2). Let o be ((-1)\/(-4))\/(z\/6). Which is the nearest to -1\/2? (a) 5 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112*a*n**2*v + 3*a*n + 59*a*v - 4*n**3 - 2*n**2*v - 6*v wrt n?\nAnswer: -224*a*v - 24*n - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160550 and 30745.\nAnswer: 75940150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2228 + 3206. Suppose 7*f + 47 = g. List the prime factors of f.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/59 (b) 0.4 (c) 0.19 (d) -1\/11 (e) 1 (f) 3\/4 (g) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 10, 104, -26, 27 in ascending order.\nAnswer: -26, -5, 4, 10, 27, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 161596, 161597, 161598, 161599, 161600, 161601?\n\"Answer: r + 161595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109*o**2 + 109*o**2 + 23*o**3)*(-o + 3*o - 3*o).\nAnswer: -23*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (0 - 1564)*37683\/(-1908)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 23 = -1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2010 + 1993 = -17*t. Let a = 8 - 1. Let x(y) = 2*y**3 - 1 + y - a*y**3 + 0*y**2 - y**3 - y**2. Calculate x(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1653506916.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 163*a**2 + 323*a + 54. Give o(161).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 4*y - v + 18057, 0 = -2*y + v - 9011. Let o = 7155 + y. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 22. Let n = 0.21 - -0.19. What is the smallest value in o, n, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 13*w = 3*m - 11510, 0 = 5*m + w - 19174. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 4. Suppose -2*s + 272 = -q + 5*q, 142 = 2*q + 4*s. Suppose -2*o + q = -13. Calculate the highest common divisor of d and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 2 - 3*o**4 + 6 with respect to o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**2 - 3421290250*q - 585261348737253125 = 0.\nAnswer: -342129025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 4*v + 215890 - 1161140 = 0. List the prime factors of v.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9415 is divided by 1371.\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1\/7, 21, -656, 669?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + u + 10 = 0, -48 = -4*d - 3*u - 2*u. Calculate the remainder when 26 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 2. Let b be c(-2). Let h(s) = 3*s**2 - 5*s. What is the least common multiple of h(b) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a**3 + 3*a)*(-a**2 + 4*a**2 - 5*a**2) + (-6*a**5 - 9*a**5 + 16*a**5)*(0 + 1 + 0).\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99481 - 100209 = -28*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35, -35, -25, 1, 49, 125, 235, 385?\n\"Answer: w**3 - w**2 - 4*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 4:44 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -3*k + 13, -99*q + 89*q = -4*k + 68 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**5\/5 + 2*j**3\/3 + 239*j**2 + 926*j. What is the first derivative of t(n) wrt n?\nAnswer: 12*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0186 + 0.0186. What is the second biggest value in -6, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47811, 47953, 48097, 48243, 48391?\n\"Answer: z**2 + 139*z + 47671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 2 - 9*n**2 + 25*n - 1 - 10 - 13*n. Determine v(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 4. Let y(o) = -2*o + 31. Let w(j) = -j + 10. Let v(p) = 3*w(p) - y(p). Calculate f(l) - 6*v(l).\nAnswer: 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p - 0*p. What are the prime factors of (-3 + p)*-3 + 31?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4\/5 (b) -34 (c) -2 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -101\/301342?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (4 - 4) - 2. Let v be -1 + -1 + (-1 - -5). Let z(g) = -2*g. Let h(j) = j. Give o*h(p) + v*z(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - 471*u**5 - 513*u + 1082*u - 7 - 568*u**5 + 9 wrt u?\nAnswer: -20780*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + k**2 + k**2 + k**2 + 0 + 0 + (0*k + k - 3*k)*(-k + 0*k + 4*k) + 44057*k - 44057*k + 212*k**2.\nAnswer: 211*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7811 - 46865\/6. Let a = -53 + 55. Factor y*v**a + 1\/6*v**3 + 0*v + 0.\nAnswer: v**2*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/78*45*(-2)\/(-56)?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 10:32 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 53*t**5 + 1870*t**4\/7 + 2301*t**3\/7 + 90*t**2\/7 = 0.\nAnswer: -3, -2, -15\/371, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212665 (base 7) to base 13.\nAnswer: 55544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -2, 6\/809?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j - 5*j - 4*j - 3*j**2 - 3*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w - 3. What are the prime factors of 11 - (-2 + w + 1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4534*(-4)\/104*-4. Let u = r + 698. Let 2\/13*p**2 + 4\/13 - u*p = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*r + 13, x + 4 = -4*r + 2*r. Let q be 8\/6 - x\/(-3). List the prime factors of q - (-2 - 2\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 1. Let v be s(-3). Let g = 28 + v. Let j(c) = -c**2 + 8*c - 16. Let w be j(4). Solve g = k - w*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 3520412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-40)*12\/14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + (-5*sqrt(9)\/sqrt(3))**2)) + (sqrt(33)*-2)\/sqrt(11))*-2.\nAnswer: 4*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69058 by 64.\nAnswer: 34529\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -270714460 to the nearest 1000000.\nAnswer: -271000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4 = 16. Suppose -a = 2*l + 3. Let v = 7 + l. Let m(d) = d + 2. What is m(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 682687981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 17*u**2 - 3*u + 58. Let n be r(17). Suppose -f + 19 = 2*b, f - 20 = 4*b - n*b. Calculate the remainder when f is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12195, 12185, 12173, 12159, 12143?\n\"Answer: -f**2 - 7*f + 12203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -965 + 8713\/9. Which is greater: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, c: 10, o: 2}. Give prob of picking 1 d and 3 c.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -34841675.\nAnswer: -4\/34841675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -133.5, -0.25, -5\/3 in increasing order.\nAnswer: -133.5, -5\/3, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 488680301 to the power of 1\/4, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15602084 and 2?\nAnswer: 31204168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + w + 50 = 0, 15 = 2*x + w - 1. Solve 0*i = -2*i + u + x, -4*i - 3*u = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18878, -5, 3 in ascending order.\nAnswer: -5, -1, 3, 18878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 17*n**2 - 4*n + 359. Let b(c) = 37*c**2 - 9*c + 715. Give -6*b(d) + 13*k(d).\nAnswer: -d**2 + 2*d + 377","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 178. Let a be o\/44 + (2 - (-92)\/(-44)). Solve d - 18 = -a*k, -5*d = -2*k - 2*d + 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -24*s**4 - 11658891*s**3 - 2831859368241*s**2\/2 + 1238945213910*s - 265488728562 = 0.\nAnswer: -242894, 3\/8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 166148139 to the power of 1\/3, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41c1 - -4356?\nAnswer: 8517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6)*-3 + 2. Let t be 132*(-2 + 80 + (-3)\/o). What is t rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0199078076 minus 1925?\nAnswer: -1924.9800921924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1244 divided by 1.\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 731975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-75 - 59 - -150).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -14)*2\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 13. Let o be x(14). Let u be (15\/(-6))\/(o\/(-12)). Suppose z + 2*z = u*v + 3, 5*v - z - 25 = 0. Let p(l) = -l**2 + 6*l - 5. What is p(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90, -6, 128, 306, 522, 770?\n\"Answer: -f**3 + 31*f**2 - 2*f - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0.6. Which is the third smallest value? (a) d (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1636 or 0?\nAnswer: -1636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 745619257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 1836 = -5*k + 5*u, 4617 = -5*k + u. Let s = k + 1932. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2. Let a(c) be the second derivative of 7*c**4\/3 - 38*c. What is a(b(z))?\nAnswer: 448*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -2*a**7\/35 + 4*a**6\/15 - a**5\/5 - a**4\/3 + 7*a**2. Factor i(j).\nAnswer: -4*j*(j - 2)*(j - 1)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*f + 339955 = -2*f, -4*f + 135982 = 2*o. Suppose -4*x + 140910 - 4907 = c, -2*x = -3*c - o. Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**5\/15 + 55*w**4\/24 - 11*w**3\/6 + 41*w**2 + 2*w. Let o be s(13). Solve 2*y - 6*y - 4*v = 0, 3*v = 4*y - o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b + 20, -35 = -5*z + 5*b. Suppose -15 = -3*g + 5*d, -28 + 8 = -4*g - 5*d. Solve g*j = z*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9306549 decades in years?\nAnswer: 9.306549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3.1. Let y(u) = -193*u + 0*u**3 + 193*u + 3 + 6*u**2 + u**3. Let s be y(-6). Which is the closest to k? (a) s (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, v: 12, u: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 8*p - 12. Calculate j(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhttthdihh. Give prob of sequence id.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -27*i - 211. Let d be s(-9). Calculate the highest common factor of d and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 715, 1512, 2307, 3100, 3891, 4680, 5467?\n\"Answer: -l**2 + 800*l - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10629796 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 50*w**7\/21 - 26*w**6\/3 + 35*w**5\/4 + 35*w**4\/12 - 55*w**3\/6 + 5*w**2\/2 - 2552*w. Solve d(t) = 0 for t.\nAnswer: -1\/2, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11828678 to the nearest integer?\nAnswer: 3439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -96, -43, 32, 129, 248, 389?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -303 from -145.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 5*h - 4. Let r(z) = -z**3 + 5*z**2 + 7*z - 3. Let n be r(6). Let w be d(n). Is ((-5)\/w)\/(2\/24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*y = 10, 3*x - 3*y + 4 = -2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -506 - -510. Suppose 10 = f*q + 13*m - 10*m, 8 = -4*m. Solve -4*g + q*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2. Let r(h) = -38*h - 4. Let q(i) = -2890*i - 306. Let w(d) = -4*q(d) + 306*r(d). Give w(x(l)).\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**3 + 90*o**2 + 540*o + 1077. Let g(t) = -10*t**3 - 180*t**2 - 1080*t - 2155. Let j(a) = 3*g(a) + 5*k(a). Factor j(z).\nAnswer: -5*(z + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**2 + 2*c - 1. Let g(b) = -b**2 - 2*b + 1. Let i(x) = -4*x**2 - 6*x + 3. Let j(z) = 3*g(z) - i(z). Determine -3*j(f) - l(f).\nAnswer: 2*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.051321501 rounded to 3 dps?\nAnswer: 1.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160107910 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 52*h**4 - 257*h**3 - 15*h**2 = 0.\nAnswer: -3\/52, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 222 = -54. Let o = m - 11. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79130 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7142? (a) 0.4 (b) -0.3 (c) -2\/9 (d) -0.2 (e) 8 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123840\/(-46440))\/((-16)\/438).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 463*j**2 - 22 + 5 + 9.\nAnswer: -463*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77949 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l + 225 + 117. Let v = 4.92 - -0.08. Is l <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1288 + -5?\nAnswer: -1290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4602123025 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z. Suppose 2*v - 3 = -1. Solve z - v = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtt when three letters picked without replacement from {t: 3, q: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 3. Let r(l) = -l**3 + l + 1. Let i be r(-1). Let s(u) = -1. Determine i*g(w) - 2*s(w).\nAnswer: 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*p**3 - 19*p**3 - 20*p**3 + (0*p + 4*p - p)*(-1 + 3*p**2 + 1) - 2*p**3 + p**3 + 3*p**3 to the form n*p + d*p**2 + x + k*p**3 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*q**3 + 10*q**4 - 13*q**3 + (0 + 2*q**2 + 0)*(-1 + 1 - q**2) + 2*q**4 - 3*q**4 + 2*q**4.\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z. Let q(c) = -7*c**2 - 1132. Calculate q(v(w)).\nAnswer: -112*w**2 - 1132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = c + 17, 0 = 2*c + 2*v + 62. Is c at least -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.3. Suppose 0*o = o - 6. Let w be 15\/(-25)*2\/o. Which is the nearest to y? (a) 2 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 82 = 5*g. Let h = g - 6. What is h rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 6*y**2 + 47. Let d be q(7). Which is the nearest to -0.5? (a) 2 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 54 = -13*n + 31 - 61 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = v + 6, 0 = 2*k + 5*v - 1 + 10. Suppose -2*y - k*y = -75. Calculate the remainder when 43 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/3 and 52\/49989.\nAnswer: 49989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -16*r**2 + 300*r + 75. Let b be p(19). Let s = 5 - 4.9. What is the nearest to b in s, 1\/4, 26, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*z - 55, 3*z - 12 = 3*t + 21. Suppose 3269 = z*h - 757. What are the prime factors of h?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from luoo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3))**(-20))**(-3\/22) assuming l is positive.\nAnswer: l**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uruz when four letters picked without replacement from czuur?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/(-50) - (-7)\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13588 rounded to the nearest one hundred?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/273 and -47\/7.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -16 - (2 - -6)) + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 20 = -g + 3*j, g - j = 2 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 124\/2*(122\/4 - -2). Let i = -8161\/4 + q. Find the common denominator of i and -83\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.047694 to four decimal places.\nAnswer: -0.0477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhifqqfffqq. Give prob of picking 1 q and 1 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = -5*x - 3*j + 67 - 434, 2*j = 2*x - 43 + 97 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58, -18, -144, -320, -546?\n\"Answer: -25*d**2 - d + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 - 49 + w**3 + 43 - 2*w**3. Let u = -1852 - -1857. What is i(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 368, 730, 1072, 1388, 1672, 1918, 2120, 2272?\n\"Answer: -r**3 - 4*r**2 + 381*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 46525?\nAnswer: 46524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 185 + 3 = 0. Let g(q) be the second derivative of 1\/10*q**5 + 0*q**4 + 0*q**2 + 1\/2*q**3 + 0 - b*q. Find the second derivative of g(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058990379 a multiple of 3279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414*i**3 - 26747*i**2 + 1470*i + 6288 wrt i?\nAnswer: -2484*i - 53494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 17*i**3 - 86*i**2 + 172*i - 120 = 0 for i.\nAnswer: 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from hvdldllvdd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20291 - -20301. Solve -15*w + 5*t = -y*w, 2*w + t = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeepeiegxwxwi. What is prob of sequence xx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/2 + 5015*j\/2 + 5013 = 0.\nAnswer: -5013, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 181.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14969, 29950, 44943, 59948, 74965?\nAnswer: 89994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 3*g + 0 + 4\/3*g**3 - 1\/3*g**4 - 2*g**2. Determine i so that a(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -41\/17, 5, -0.22, -84\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52\/19 + -317\/95. Put h, -2, -4 in ascending order.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10613 = -0*t - 8*t + 10413 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 15*y**2 - 12*y**2 - 2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 3*i**2 - 8*i + 8. Let x(m) = 2*m**3 + m**2 - m + 1. Let f(d) = -r(d) + x(d). Determine f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (3 + -4)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g + 4*v - 8 = 0, -2 = -5*g - v. Let q(o) = -o**2 - o + 816. Let w be q(g). Suppose 10*d = 7*d - 5*x + 494, 5*d + x - w = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*(-6)\/(-84)*662 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4552698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2003*v - 3. Let s be 4\/(-14) - 220\/14. Let u(b) = 2*b + 31. Let w be u(s). Let y be a(w). What is y rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43499.08t to nanograms.\nAnswer: 43499080000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -256 - -117. Let o(g) = g**2 - 11*g - 1. Let n be o(-10). Let b = n + j. What is the highest common divisor of 28 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3a (base 13) to base 5.\nAnswer: 30113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**19)**(-38)*j**(-27)\/(j**(-24\/5)\/j) assuming j is positive.\nAnswer: j**(-3716\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*k**3 + 13824582*k**2 + 2*k - 13824582*k**2 - 1 as a*k**3 + n*k**2 + y + v*k and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66498861 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -12.5.\nAnswer: 6.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u + 57. Let g be v(13). Let s be g\/(-36)*-19 - -4. Which is the nearest to 0? (a) 1.6 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32.81 - -32.53. Which is the closest to 0? (a) 0 (b) -2 (c) l (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009763 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/69 and -67\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22, -24, 5, 2.\nAnswer: -24, -22, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 935483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**4 - 4*f**3 - 15*f**2 - 23*f - 5. Let u(k) = -k**3 - k**2 + k - 1. Let x(l) = -2*j(l) - 6*u(l). Solve x(b) = 0 for b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142103 is divided by 12917.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210430 (base 6) to base 9.\nAnswer: -25300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3906.368 + -1444?\nAnswer: 2462.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.81 + -0.11. Let b = -0.07662 - -0.17662. What is the closest to b in -1\/5, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22727, 1, 4, -9 in decreasing order.\nAnswer: 4, 2, 1, -9, -22727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/869 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-104*h**3 + 47*h**3 - 1 + 1)*(69 + 23*h - 69) as b*h**3 + r*h**2 + n + m*h + k*h**4 and give k.\nAnswer: -1311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 999054?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5363.9014 to the nearest 100.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11911 - 11911.5183. Which is the nearest to w? (a) -0.2 (b) 5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 653567, 1307146, 1960725, 2614304?\n\"Answer: 653579*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1823732669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -32, -172 = 3*y + b - b + 23*b - 3*b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.4626.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -209958.\nAnswer: -1\/104979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r - 8*r + 671 = 88 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7 = a, -3*b = -2*a - 9 - 8. Differentiate -6*z + 3 + 8 - 4 + b with respect to z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-116)\/(-7) - ((-72)\/(-28) + -3). Solve 2*a + 5*w = -24 + 33, -2*a - m = -3*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -4050\nAnswer: -1\/675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(14))\/(sqrt(343) + sqrt(343) + (sqrt(343) - 2*sqrt(343))).\nAnswer: 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(133)\/(sqrt(7)*-1))**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5313 - -d?\nAnswer: 5320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y + 86 = -294*t + 295*t - 90, -t + 2*y = 5*y + 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 128.1 times -3\nAnswer: -384.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 84\/(-28)*5\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4979 and 0.03.\nAnswer: 149.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112700 and 488313?\nAnswer: 341819100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l - 45 = 0. Let n = l + 8. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -17*l + 29*l + 19*l - 26*l**2 + 104 + l**3 + 3 + 15*l. What is the remainder when i(24) is divided by (-133)\/(-4) - (-1)\/(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (75\/(-125))\/((-2)\/10) + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by 14\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/17 + 8*l**2\/17 + 6*l\/17 = 0. What is l?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k - 24. Let i be 448\/21 - (-4)\/k. Suppose i - 6 = o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 6. Suppose 3*z - 12 = -z. Let c(p) = -1. Let o(j) = z*c(j) - q(j). What are the prime factors of o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + g + 3. Let h be s(0). Suppose -5*x - 10 = 5*a, 0*a + 2*x = h*a + 31. Let k = -10 - a. Which is greater: k or -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 506191, 1012437, 1518683, 2024929, 2531175, 3037421?\n\"Answer: 506246*t - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10159766 is divided by 385.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 - 77*c - 15. Let v be q(-19). Solve 0 = h - 4*d + 8, -4*d + 0*d = 2*h + v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2 - 5*t - 1. Let z(a) = -2*a - 1. Let m(d) = 5*d**2 - 4*d - 3. Let i(g) = m(g) - 4*z(g). What is -5*i(c) - 4*p(c)?\nAnswer: -5*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*l**5 + 125*l**4 + 146*l**3 + 1532*l**2 - l + 13?\nAnswer: 840*l**2 + 3000*l + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 3, 2\/11, 9, 0.1, 2\/3 in ascending order.\nAnswer: 0.1, 2\/11, 1\/2, 2\/3, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5\/3)\/(i*i**(-3\/4)*i)*(i**(2\/5))**40 assuming i is positive.\nAnswer: i**(157\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*f - 4*f. Solve -c + 5*a = 3 - 20, 2*c - f*a = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2948 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h*h**(1\/8))**29 assuming h is positive.\nAnswer: h**(-203\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 - 3 = 5*y, 3*m - 2*y - 28 = 0. Suppose -m*l = -2*l - 904. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7098 and 60.\nAnswer: 70980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -5, -0.87, -27, 320, -1\/10, 12?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 53, 86, 97, 80, 29, -62, -199, -388?\n\"Answer: -i**3 - 5*i**2 + 55*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 10*s - 14. Let h be t(-6). Suppose 3*j - 50570 = -h*j. Round j to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 3*y**3 - y**3)*(2*y - 1 + 1)*(0*y + y - 2*y - 1 + 1 + y + (1 + 1 - 4)*(-y - y + 4*y) + y + 0*y + y + (2 + 1 - 2)*(-4*y - y - 11*y)).\nAnswer: 36*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 102 = 37*q. Solve -4*w - q*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:43 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/544*15\/(270\/16)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*f**2)*(-f + f + 2*f) + (57 + 191 + 77 + 121)*(f**3 - 3*f**3 + 3*f**3).\nAnswer: 454*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54553522 (base 6) to base 10.\nAnswer: -1632506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26929102 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2 + 23336*b + 32780?\nAnswer: 2*b + 23336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -0.01 (c) 1\/3 (d) -2\/1775\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -2102?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m + 2 = 0. Let l = 2 - 2. Let i = l + 0. Solve i = -m*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5873268?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*2 - sqrt(425)) + -4 + 3)**2 + (sqrt(425) + (sqrt(425) + 2)*-6)**2 + 6*sqrt(425)*1.\nAnswer: 620*sqrt(17) + 11195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1096 (b) 1\/267 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275997, -276114, -276317, -276612, -277005, -277502?\nAnswer: -278109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*i - 21, -2*i + 7*q - 11 = 6*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 38067\nAnswer: -7\/38067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*y - 84*y - 2016 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 19 - 44)*(0 - 4*l + 2*l + 3)*(-3*l + 3*l + 2*l).\nAnswer: 364*l**2 - 546*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(84)*1)\/sqrt(12))**2 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 - 382 = -24*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:39 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*m - 329*m = -10, -2*j + 2*m + 2 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 2. Let u be p(-2). Suppose -u*r + 13*r = -j + 453, -4*r = -12. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001219444375 to seven decimal places.\nAnswer: -0.0001219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and -133.48313116.\nAnswer: -133.53313116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 12 + 18 + -13\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -17*z - 3*p + 88, 0 = -127*z - 127*z + 257*z + 5*p - 48 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 2, x: 2, o: 1}. Give prob of sequence xeg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o = 23*o - 96*o - 408. Let f(t) = 6*t. What is f(o)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2765*j - 64 = -2777*j + 4*p, 0 = -2*j + 2*p + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1) + (-8 - 10399994). Round f to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - r**3 - 2*r**3)*(-5*r - r + 3*r) + (-4*r**2 + 0*r**2 - 3*r**2)*(-3*r**2 + 5*r**2 - 3*r**2).\nAnswer: 22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 7*n**2 + 3*n - 67. What is the hundreds digit of u(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1.66714934.\nAnswer: -0.83357467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 4:42 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16443 divided by 63?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/2? (a) 3 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62458 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c + 20. Let w(o) = -225*o - 495. Let p(i) = -99*f(i) - 4*w(i). Let v(n) = 2*n + 1. Let b(d) = 3. Let z(g) = -3*b(g) + 9*v(g). Calculate p(z(y)).\nAnswer: 162*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798349109?\nAnswer: 37, 75631057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 711281.7 millennia?\nAnswer: 71128170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51777317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4677 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1364\/(64 - 20))\/(0 - 5 - 187\/(-34))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koxooynyyoxkxook. What is prob of picking 1 o and 1 y?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*o**4 - 17532*o**3*s - 3*o**2*s - 18*o*s + 3*o - 2256*s wrt o.\nAnswer: 288*o**2 - 105192*o*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-21)\/28)\/3*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.7 and -202.\nAnswer: -199.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 663139 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 837 - e?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*i - 57 = 7, 0 = -2*i - 4. Solve -5*j + 4*l - 16 = f, -3*j - 3*l + 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from ikfajafjq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34886 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230 - 41*r + 230 + 14*r + 13*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 2:06 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374 and 170?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {d: 3, r: 4, o: 7, g: 2, s: 1, b: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, 1 s, and 1 m when four letters picked without replacement from {e: 1, s: 2, m: 1, d: 3, r: 4, j: 1}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5484 - (-5 + 9 + 5 + -8)?\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 9 = -2*r. Let b be ((-1 - -4) + r)*2. Let w = -148 + 1034\/7. Is w at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60312\/(-20463))\/((-2)\/19).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -12 - 12) + -2 + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-4\/7)\/c)\/c)\/((c\/(((c\/(c*c**8))\/c)\/c))\/c))**(1\/32) assuming c is positive.\nAnswer: c**(-81\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/15, 1, -1\/3, -0.2, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4849 + 2239. Let x be (-10)\/1*(3 - (-7842)\/u). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4)**(-3\/13)*(y\/y**0)**21)**(-1\/28) assuming y is positive.\nAnswer: y**(-261\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222001121 - 10121?\nAnswer: 1221221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 580 divide 3145340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*o - 716*o - 772*o as u*o + i and give u.\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2975 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(9\/5)\/(b**(-6\/11)\/b)*(b*b**(3\/2))\/(b**(1\/10)\/b*b) assuming b is positive.\nAnswer: b**(316\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 18. Suppose -4*f = j - 13, 100 = -0*j + 4*j + y*f. Let u = j + -12. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33551027 divided by 6?\nAnswer: 33551027\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (4 + (1*sqrt(252) - sqrt(252)) - sqrt(252)) - sqrt(252))**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 463, 923, 1383, 1843?\n\"Answer: 460*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 - 28888*w\/3 + 28889\/3.\nAnswer: -(w - 1)*(w + 28889)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - 69 - (-8 + (-3 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3368)\/270 - (2680\/540)\/(-67) - -7\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19347, -38640, -57933, -77226?\n\"Answer: -19293*x - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*x**3 - 4*x**2 - 699*x**2 + 256*x**3.\nAnswer: -83*x**3 - 703*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, r: 2, u: 1, v: 3, m: 1}. Give prob of picking 1 r, 1 u, and 1 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 4. Let m(z) = -6*z - 1. Let w(g) = -2*g. Let i be 2\/(-5)*(-160)\/(-8). Let p(o) = i*w(o) + 3*m(o). Determine 2*n(d) - 3*p(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 11*f - 1369. Determine s(44).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - k + 6*k as y + i*k and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13360 and 8480?\nAnswer: 1416160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 717293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-1)*(-88)\/16. Is (-8)\/(-44) - (-753)\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, 0.51, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -39, 46, 605, -5, 4 in decreasing order.\nAnswer: 605, 46, 18, 4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -22*n + 14140, -a + 5*n - 8*n = -7062. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**6\/60 - 5*z**4\/24 - 7*z**3\/6 - 39*z**2. Let s(h) = h**3 + 3*h + 4. Calculate -6*b(j) - 10*s(j).\nAnswer: 2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.43281966 to zero dps.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 5*m**2 + 4*m + 2. Let f be c(4). Let v(l) = 2*l**2 - 2*l - 2. Let p be v(f). Solve 11 = u - 4*t, p*u - 4*t - 5 = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 5*i**2 - i**2)*(2*i**3 + i**3 - 4*i**3) + 63*i**5 - 18*i**5 + 73*i**5.\nAnswer: 117*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*g - 18, -8 = -6*g + 2*g - 2*q. Suppose g*w + 6*z = 4*z + 2229, -2*z = -w + 751. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16493 - 1431 = -779*x + 7783 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -5*b**7\/7 + 13*b**5\/5 + 7*b**3 - 372. What is the third derivative of v(q) wrt q?\nAnswer: -600*q**3 + 312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178 + -177.62. Let o = i + 4.62. What is the fourth biggest value in 0, o, -3, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6108\/11 smaller than -556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {i: 2, z: 2, q: 3, d: 8}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179 - -1251\/7. Let d be -1*2 + 64\/30. Sort l, 0.4, d in decreasing order.\nAnswer: 0.4, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:56 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4338*z**4 - 10*z**3 + 20*z - 1109. Let f(x) = -5*x**4 - x**3 + 2*x - 1. Let u(q) = b(q) - 10*f(q). What is the first derivative of u(n) wrt n?\nAnswer: 17552*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 44. Let j be (c\/8)\/((-6)\/(-17038)). Let v = j - -1063. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3255, -6525, -9795, -13065?\n\"Answer: -3270*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/4*3\/12)\/((36\/4)\/(-1926)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.2 (b) 2\/3 (c) -0.3206 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5))\/(7\/5).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 22*w = -258, -97*w - 54 = 2*v - 179*w + 78*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from drzdddddddyrdr.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z + 4*z + (-13 + 13 + 17*z)*(-2 + 7 - 3).\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24027 - 0.5?\nAnswer: -24027.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -9) + 0 + (0 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19932 + -19927. Let q be ((-1)\/(-6))\/((-13)\/4). Sort t, -0.8, q.\nAnswer: -0.8, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s + 66894*s**2 - 66925*s**2 + 7*s. Let p(t) be the first derivative of 4 + 0*t**2 + t**2 + 4*t**2 - 4*t**2. Give p(n(u)).\nAnswer: -62*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18317 + -17179. Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7613*s + 5074*s + 6118*s + 2182*s.\nAnswer: 5761*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740202 equal to 1740201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-16))\/(1\/12). Let u be (-1 - 2)*6\/i. Suppose u*k - 4 = 4. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98335?\nAnswer: 5, 71, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89212505.\nAnswer: 5, 19, 269, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -1 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-528)\/6*(-26)\/(-20). Let u = -115 - z. Let x = -256\/1285 - 1\/1285. What is the nearest to 1 in u, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -4 - 7\/6*x**3 - 1\/3*x**4 + 0*x + 3*x**2. Let m(h) be the second derivative of k(h). What is the derivative of m(f) wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(54)\/(5*2*sqrt(3)))\/(-2*(sqrt(81)*-2*2 - sqrt(81))).\nAnswer: -sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/324 and 22\/77 + (-2312)\/(-2688).\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t + 5, -t + 176 = 3*r. Suppose d + 5*n = r, -n = 2 - 3. What is the highest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -1523.\nAnswer: 11\/1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-16)*8\/6. Let f be (-17)\/51 + (-46)\/6 - 5. Let y be 28\/(-20) - (-3 - f\/5). Which is greater: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-104)*(19 + -1). Determine s, given that 2 - 2*s + 7*s + 3*s**3 + t*s**2 + 1 + 0 + 4*s = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2419 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 236. Suppose 4*u - k - 64 = -2*k, 3*k + 63 = 5*u. Calculate the remainder when t is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*n - n - 2199, 2*a = n - 437. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 336, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10920\/(-229320)*(-14)\/18.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 17632*n + 2*n**3 - 17631*n - n**3. Let t(j) = -40*j**3 - 35*j. Calculate -105*l(d) - 3*t(d).\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxqxqqqfqdqxqdqxqqq. What is prob of picking 2 d?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 12. Let t be x(0). Let w = -7 + t. Solve 0 = f - w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 111 = -97. Is (-14)\/21 + x\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/5, -9, 0.1767?\nAnswer: 0.1767","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrtxwxxrrxxxxxtwrt. What is prob of picking 1 t and 3 r?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/720 + 7*d**4\/6 + 31*d**2. Let r(b) be the second derivative of l(b). Let h(p) = -4*p. Determine r(h(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2\/4 - 216915*b\/4 + 15370719\/2 = 0. What is b?\nAnswer: 142, 72163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -790817*w**2. Let n(a) = 2*a. Determine n(q(i)).\nAnswer: -1581634*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/14*0\/(-2). Suppose d - 2 - 28 = k. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k)**(-2\/23)*(k\/k**(1\/16))\/k*k*k*k*k**(2\/105) assuming k is positive.\nAnswer: k**(107521\/38640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -19 + 2)*(21\/6)\/(-7)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m - 360 = 0. Let i(z) = z**3 - 10*z**2 + 10*z - 2. What is the lowest common multiple of i(9) and m?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 6, q: 7, h: 1, p: 4}. What is prob of picking 1 x, 1 f, and 1 q?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quooojojjurojrvuqujq. What is prob of sequence ooo?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -41306\/11, 2 in increasing order.\nAnswer: -41306\/11, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 63*j = 58*j - 19, f = 5*j + 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5 = 5*k, 3*j - k = -2*j - 25. What is the third smallest value in j, 2\/9, -4\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-10))**(-2\/25)*(i**(-1\/14)\/i)**(-6\/5) assuming i is positive.\nAnswer: i**(351\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 10*(-190)\/(-100)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -37 (b) 2\/7 (c) -0.2 (d) 0.1 (e) 6 (f) -3\/2 (g) -1203\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -15 + 1\/3*z**2 - 1\/3*z**3 + 7*z = 0. Calculate z.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 740 or 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 4065120?\nAnswer: 4065124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44107.\nAnswer: 7, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679*m - 216 = 676*m. What is the greatest common divisor of m and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -52, -53?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (59 - 34) - -14?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2903884.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v - 103. Let f be l(15). Suppose -3 - 29 = -f*d. Which is the nearest to d? (a) 5 (b) -0.02 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.4 and 7.14?\nAnswer: 14.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 21 - (78 - (-20 + 89))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318149300 by 95684.\nAnswer: 3325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1603261.66 to the nearest one thousand.\nAnswer: -1603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*g - 14. What is the remainder when g is divided by (-17 - -2)*4\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from {r: 3, h: 3, y: 1, g: 5}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 62*x - 49 + 7 + 57*x - 115*x. Let c be u(10). Sort c, -12, -1, -5.\nAnswer: -12, -5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40774117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/33 and -55\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4995252 and 1368?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*w + 55*w**3 - 77*w + 1 + 149*w**3 in the form y + z*w**2 + o*w**3 + g*w and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29762 + 46163. Suppose 3*d + 1727 = g + 50920, 0 = -d + 2*g + p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184366 and 172210.\nAnswer: 15671110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 2 + 1 + 1 - 1 + (2 - 1 + 1)*(0 - 4 + 3) - 3 + 4 + 0 + 2 - 1 + 0)*(-2*j + j + 0*j) as a + y*j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5 - 34 = 0. Let s = w + 6. Let g(x) = -x**2 - 10*x - 10. What is the tens digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**4\/12 + 3*s**3\/2 - 10*s**2 - 42*s. Let r be i(7). List the prime factors of r - (5 + -10) - -241.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v + 2*v)*(-2 + 1 - 3 + (1 - 3 + 3)*(-1 + 3 - 4) - 1 - 1 + 3 + 4 + 3 - 6) - 41 + 41 + 24*v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let j(q) = -12*q**2 - 3*q. Let m be 1\/(-5*(-4)\/120). Suppose -p + 3 = m. Let s(t) = -35*t**2 - 10*t. Let u(h) = p*s(h) + 10*j(h). What is x(u(i))?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -8*h - 92, 0 = -2*h - 435*u - 441*u + 873*u + 61 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*x - 2*x. Suppose 3*z = -2*f - 5 + 98, -4*f = -5*z + 111. What is the smallest common multiple of z and x?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35568 and 1441368.\nAnswer: 712035792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.8, -4\/5 in decreasing order.\nAnswer: 0.8, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5312657?\nAnswer: 7, 41, 107, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z - 46. Let t be p(7). Suppose t*y = -5*r - 13 - 0, 3*r = -5*y - 11. Which is smaller: -9 or r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3. Let r be ((-16)\/6)\/(12\/(-18)). Put r, -7, h in decreasing order.\nAnswer: r, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30781 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -520, -1635, -3486, -6067, -9372?\nAnswer: -13395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*h + 332*h - 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*u**2 - 4*u - 20*u**3 + 3 - 147*u**2 in the form w*u + k*u**2 + z + h*u**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Convert 65165243 (base 8) to base 16.\nAnswer: d4eaa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-27))\/((-12)\/3)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 55\nAnswer: -29\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 1\/2 (c) 3\/7 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-14) + -112*(-74)\/(-5439)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106285108.2 to the nearest 1000000.\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82793264 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.4 (c) -3 (d) -4 (e) 3\/56 (f) -139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 282.0716ng?\nAnswer: 0.0000002820716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14) + 16005\/179256.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*y + 58 = 7*b, 238*y - 242*y - 48 = -5*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = -0*r. Suppose 0 = 4*y + 3*m - 1497, 3*y + 0*m = r*m + 1107. Suppose 10*f + y = 14*f. Calculate the highest common divisor of 31 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7110 and 450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2\/11, 1\/9, 129, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/7)\/(2\/((-56)\/(-3))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 1265647 = -11*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94574863 to the power of 1\/2, to the nearest integer?\nAnswer: 9725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z - 1. Let 1 + 0 - 4*j - j**z - 4*j**2 = 0. Calculate j.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2 + 60*w + 288 = 0.\nAnswer: -12, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14008987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mntnnmggnzmtzmttzmg. What is prob of sequence nmt?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 150831\nAnswer: -150831.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x**3 + 4184 - 8368 + 4184 - 153*x**3.\nAnswer: -183*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -2*a**5\/5 - 44*a**3\/3 + 97*a + 86. Find the first derivative of t(d) wrt d.\nAnswer: -8*d**3 - 88*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 70 + 2057c?\nAnswer: 2061c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 n when four letters picked without replacement from fpnnrrffffnf.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 25*k + 85. Let b be a(-9). Let c(i) = -3*i + b - 4 - 18 - 2*i. Let g(r) = 7*r + 1. Calculate g(c(n)).\nAnswer: -35*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 620 - 100 = 36*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5442665, 5442666, 5442667, 5442668, 5442669, 5442670?\nAnswer: 5442671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*h - 24. Is 15 a factor of 3\/h - 2632\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**2 + 1937995*w - 11628150 = 0.\nAnswer: -387605, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 + 5*u**3 + u**3 - 9*u**3 - 19*u**3 + 6*u**3 + 4*u**3 + 2*u**3 - 4*u**3 + (0*u**2 - 2*u**2 + 4*u**2)*(0 + u + 0) + 2*u + u**3 - 2*u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 1\/8, -100?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150955666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -74155\/539 and -138 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -95*n**4 + 943*n**3 + 2971*n**2. Differentiate g(l) wrt l.\nAnswer: -2280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/13)*g)\/g**(1\/9)*g\/g**7*g**(-1\/6)*((g\/(g*g\/((g\/(g\/g**(-1)))\/g)*g))**(-47))**(-29) assuming g is positive.\nAnswer: g**(-1276967\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.79634 litres to millilitres.\nAnswer: 45796.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + 2*s)*(-2 - 2*s**4 + 2) + (-2 - s**3 + 2)*(70*s**2 - 11*s**2 + 52*s**2).\nAnswer: -115*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.492 times 7.4?\nAnswer: 40.6408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 2)\/(11\/11). Suppose -t + 24 = -u*g, -4*g = t - 5*g - 8. Solve -4*r = r - 5, 8 = -m + t*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 2393103.\nAnswer: -40682751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1192 divide 127123625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 - 76. Let l = 72 - p. Solve 0 = -i - 5*q + l + 9, -5*q + 17 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/12 - 2*z**3\/3 - z**2\/2 + 14*z. Give t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 942*t + 139*t**2 - 942*t.\nAnswer: 139*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*b + 24, -2*b - 12 = 2*f - 0*f. Let k be ((-10)\/f)\/(3\/(-18)). Let t = -6 - k. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t - 3*g + 2766, 5*g = -2*t - 1823. Let q be (-6)\/8 + (-17655)\/44 - -4. Let z = q - t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 741367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfffffbbffff. Give prob of sequence fb.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*(0 - 0). Suppose -j + b*i = -4*i - 7, 5*j - 4*i - 19 = 0. Find the first derivative of 1 + 3 - 2 + f**j wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.4, -0.5, -2, 173?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (58\/(-10) - -6) + (-708)\/(-60). Let j(a) = -7 + 1 + 0*a**2 + a + a**2. Let r be j(6). What is the greatest common factor of r and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 2*w - 160 = 0. What is c in 24*c**3 + w*c - 44*c**2 - 380378 + 380378 = 0?\nAnswer: 0, 1\/2, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(72)*2 - sqrt(72)))\/sqrt(6).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x = 100. Let b be 570\/x*(-1 - -3). Suppose 39*n + 10*n**4 - 6*n**2 - 31*n**4 + 69*n**3 - 6 - 18*n**2 - b*n**2 = 0. What is n?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhshhhhkhhhhhk. What is prob of sequence khsh?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -45 - -1 - (-21 + 23 + -10)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/18 and 37\/441.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1252636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126 + -1136\/9. What is the fourth smallest value in -0.5, v, -3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1.1. Let n = -3\/22 - -59\/110. What is the smallest value in 3, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -558594 and -0.1.\nAnswer: 55859.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12 - 13)*(-5)\/(-10) + (-91233)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/9*w**2 + 68\/3*w - 16 = 0. What is w?\nAnswer: 3\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7862 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14404 - -27866. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzklkizkilkzk. What is prob of picking 2 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22642020 and -0.707.\nAnswer: 22642019.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.082729956 + -87.\nAnswer: -98.082729956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffvyfyvfyyyfyfy. What is prob of picking 1 v, 1 y, and 1 f?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2208 - -1522. Is 4\/10 - z\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5613 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175193?\nAnswer: 41, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 1 + 4*h - h. What are the prime factors of t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218 - -214. List the prime factors of ((-1)\/2)\/(v\/124)*14.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1025 + 1034. What is the greatest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 13. Let k be f(0). Let c = -3 - k. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1008) + 0 + (sqrt(1008) - (2 + sqrt(1008))*-1))**2 + (-3 + (1*sqrt(1008) + sqrt(1008))**2*4)*4.\nAnswer: 288*sqrt(7) + 73588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*-9*(-12)\/(-1296)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, i: 1, w: 2}. What is prob of sequence bwi?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Let c be 1*(1 + 1)\/1. Let j(q) = 2*q**3 - 2*q**2 - 4. Let u be j(c). Which is greater: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 38. Suppose -y + 12 = -q. Let f = -13 + q. What is the smallest common multiple of 22 and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 257, -13, 3.\nAnswer: -13, -3, 3, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 25 - 585. Is i smaller than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/12534250 and -83\/15041100.\nAnswer: 75205500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -571.73 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12880 and 4480?\nAnswer: 103040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132505 or 662532\/5?\nAnswer: 662532\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66243533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 9*o**2 + 2. Let q be r(-9). Suppose -v + 4*v + 3 = q*z, 5*z - 15 = 5*v. Suppose -4*i - p + 19 = 0, i - p = -0 + 1. Solve -j + i*j = -z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153243 is divided by 131?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o - 12. Suppose -4*w + 0*w = 3*l - 166, 0 = w - 1. Calculate the greatest common divisor of l and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-496)\/(-372)*6\/16. Which is the closest to v? (a) 4\/7 (b) -0.4 (c) 52 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2887*x + 36142 = -316072 for x.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 - -258. Solve -g*x + 2*x = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1724 + 3173. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/2 + 945*z**2\/2 - 116499*z\/2 + 768159\/2 = 0. Calculate z.\nAnswer: -411, 7, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 6930 = -24*c. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -21*y + 17*y + 650, -3318 = -5*v - 3*y. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (0 + (-5)\/(10\/(-12))). Let n be (-32)\/36 + 2\/(-18). What is the nearest to 2\/3 in b, 2\/11, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5.6. Let l = 12 + -8. Let y = l - 4. What is the second biggest value in o, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830602402 to the power of 1\/3, to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o + 2*o - 22*o - 17*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(25)\/(-4*(sqrt(5) + sqrt(15)\/sqrt(3))) - (sqrt(60)\/sqrt(48) - (sqrt(15)\/sqrt(3) + -5))*2.\nAnswer: -14 + 7*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -12 + 2 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -205283835 + -168\nAnswer: -205284003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -887 + 886.999938. What is q rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29373344 and 455?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272 = 80*c - 752 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 3. Let l(a) = -7*a + 5. Let q(t) = 4*l(t) + 10*r(t). Calculate the remainder when 32 is divided by q(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15 + 0)\/(-45))\/((-13)\/(-1131))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13869 divided by 201\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:14 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**6\/18 + 28*l**5\/5 - 147*l**4 - 1322. Let v(j) = 0. Calculate j.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 - 7*h + 5. Give g(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43216241 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 799 or 1595\/2?\nAnswer: 1595\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21909961.\nAnswer: 23, 71, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1523044 and 3\/2159540.\nAnswer: 144689180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -10, -1\/7 in decreasing order.\nAnswer: 0.1, -1\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -172\/9 and -19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + h - 5*h)*((1 - 2 + 4)*(-2*h + 2*h - 2*h) - 111*h + 28*h - 73*h) as j*h**2 + k*h + g and give j.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = 7*p + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 196\/70*(-9)\/(-21)*-5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:35 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t + 2. Let g(k) = -8*k - 1. Determine g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(56\/(-12)))\/(5\/(40\/6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + c + 18 = 0, 1 = w - 3*c - 5. Let t = 147 - 143. Let i be t\/1 - 1\/4*0. Put -2, i, w in descending order.\nAnswer: i, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6 = 3*t. What is the remainder when 13 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31374 and 150324039.\nAnswer: 2104536546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from {p: 2, i: 2, k: 9}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14747 is divided by 726?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - -320. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 28 = -12*c. Let q(g) = -2*g**3 - 3*g**2 + 12*g + 10. What is the remainder when 419 is divided by q(c)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -272, -900, -2072, -3968, -6768?\nAnswer: -10652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 + 227. What is the remainder when 113 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - 24 + 5*b + 3 + 120 + 1 to q + l*b and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: aaa9 (base 15) to base 13\nAnswer: 135c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4384415 or -4384525?\nAnswer: -4384415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-115 - (5 + -31) - -9) + (-10 - 1)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760938189?\nAnswer: 3, 11, 37, 623209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -507, 5, 20, -49 in ascending order.\nAnswer: -507, -49, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2908 + -2907. Let a be (-4)\/16 - (-10)\/24. What is the third smallest value in 4, q, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -386 + 439. Calculate the remainder when 98 is divided by a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(sqrt(900) + sqrt(900)*1 + sqrt(900)))\/(2*(sqrt(180) - sqrt(180)*2)).\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2373 by 791.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-56))\/(1\/4). Suppose 3*l + 1628 = 4*n, -7*n + 8*n = -u*l + 407. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22131 (base 4) to base 7\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - j. Let a(s) = -5*s**2 + 4*s + 2. Let z(d) = a(d) + 4*l(d). Determine z(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19)*-2*-6.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*p = 10, -43*p + 47*p + 40 = -4*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**5 + 56*h**4 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1)\/(1*(2\/6)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1614 = 4*x, 15*g = 5*x + 13*g + 2022. Let y = 399 + x. Let m(f) = f**3 + 6*f**2 + 2*f - 6. Calculate m(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994.785 rounded to 0 dps?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 40.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1. Let v(a) = -a + 2. Suppose 2*x - 18 = -4*p, p - 4 - 13 = -3*x. Let t(k) = k**2 - 4*k - 4. Let i be t(x). Let c(o) = i*v(o) - 5*y(o). Give c(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 2*w**2 + 2*w - 1. Let d be z(3). Let s(v) = 3*v + 9. Let i be (3 - 3 - -1)*19. Let r(t) = 2 + 20*t + 0 - i*t + 2. What is d*s(u) + 9*r(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068648811 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500940.\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 888*x**4 + 2*x**3 + 70*x - 840318 with respect to x.\nAnswer: 3552*x**3 + 6*x**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:07 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) - 25\/(-2). Suppose b - 4*h + 43 = 14, 5*b + 3*h + 53 = 0. Let p = b - -13. Solve z = 4*l - p*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Let n(o) = 2*o + 2 - 5 - d. Calculate the smallest common multiple of 4 and n(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 32 = z. Calculate the smallest common multiple of z and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 3900710.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i. Let k(n) = -n + 65. Calculate k(m(q)).\nAnswer: -2*q + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 20*c - 49. What is the units digit of z(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/3 + 25795*p**2 - 232142*p\/3 - 103176 = 0.\nAnswer: -1, 4, 77382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-182) - (-55)\/210.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o. Let t(q) be the second derivative of 5*q**3\/6 - q**2\/2 + 746*q. Calculate g(t(k)).\nAnswer: -10*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 8*r + 1. Let i(p) = 4*p**2 + 10*p. Let j be i(-3). Suppose j*h = -3 + 33. Suppose h*m - 20 = 0, 4*b = 2*m + 7 - 39. Calculate z(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10*g**3 - 3*g**2 - 1. Let p(h) = 29*h**3 + 8*h**2 + 3. Determine 3*p(w) + 8*v(w).\nAnswer: 7*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 + m**2 + m + 1. Let b be r(-1). Let y(i) = 5*i**2 - 1. Let q be y(1). Let z = q - b. Put 0, 3, z in decreasing order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + 427. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.882823s in minutes?\nAnswer: 0.34804705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/((-925)\/(-30)))\/((-40)\/25).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2241)\/(-6)*(-88)\/(-132))\/(351\/(-117)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0 + 0)*(-2 - 1 + 1) - 2*b - 2*b + 8*b + 4*b - 3*b - 3*b + (-2 - 1 + 5)*(2*b - 2*b + 2*b) - 4*b + 3*b + 2*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -837*d**2 + 837*d**2 + 0 - 1 - 11*d**3. Suppose 0*j = j + 1. What is g(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/6*(-2 - -5). What is the third derivative of -3*y**2 + b*y**2 + 15 - 15*y**4 - 15 wrt y?\nAnswer: -360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2424915?\nAnswer: 3, 5, 53887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1818714*z**5 + 638*z**2 - 940*z.\nAnswer: -109122840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 + 20*z + 19. Let o(j) = -j**3 - 6*j**2 - 4*j + 2. Let g be o(-4). Is k(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9044\/7 + 6 - 3. Suppose -2*l = -7*l + w. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3 - 0)\/((-9)\/(-42)) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.414434nm in micrometers?\nAnswer: 0.000414434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5528 + 5534. Let s(f) = -f**2 + 8*f. Determine s(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -199.2? (a) 1 (b) 3 (c) 19.183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-447444)\/(-80) - (-1)\/4. Let y = 5881 - 282. Let a = y - t. Find the common denominator of 43\/8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 6 - (-6 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**0))\/z**5*z**(1\/6)\/(z*z\/(z**(-1\/2)*z)*z)*((z**(3\/2)\/z)\/z**(1\/5))**(7\/2) assuming z is positive.\nAnswer: z**(-437\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 4*d + 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4671 divided by -48.\nAnswer: -1557\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4362, 4432, 4502, 4572, 4642?\nAnswer: 4712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267357.8 milligrams to kilograms.\nAnswer: 0.2673578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5258035 is divided by 117.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 1*(sqrt(704) + -2) + -4 + (-2*sqrt(704) - sqrt(704)) + sqrt(704))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**4\/3 - 9*k - 5. Let b(l) be the first derivative of q(l). Let s(r) = 3*r. Give b(s(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33399 + -23607. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 3, -2222 in decreasing order.\nAnswer: 3, 0, -4, -2222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 12:00 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y\/(y**(-6\/5)\/y*y))\/y)*y\/(y*((y**8*y)\/y)\/y)*y)**(8\/11))**45 assuming y is positive.\nAnswer: y**(-2592\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 15810 + 3735 + 28155. Calculate the highest common factor of 30 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 58602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2301451, -2301756, -2302061, -2302366, -2302671?\nAnswer: -2302976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0*d**3 + 1\/105*d**6 + 0*d**5 - 1\/42*d**4 - 13*d + 0 + 0*d**2. Factor t(k).\nAnswer: 2*k**2*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 41 - 58 - 3*n + 2*n.\nAnswer: -n - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 448074 (base 15) in base 7?\nAnswer: 36525046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4429*a - 4. Let t(d) = 4439*d - 6. What is -4*c(w) + 3*t(w)?\nAnswer: -4399*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -0*f - 17*f - 220. Is f greater than 359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.67429331 rounded to 2 dps?\nAnswer: -2.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-84) - 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*s**2 - 9531*s + 3888 = 0. Calculate s.\nAnswer: 9\/22, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r - 8. Let j(q) = 8*q + 54. Let u be j(-6). What is the least common multiple of u*(8\/6 + (-18)\/27) and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.9323 times 0.296?\nAnswer: 8.2679608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*s + 5612 + 1577, -2*s - 14408 = -2*g. Suppose -2*d = -4*l - g - 10673, -17889 = 4*l + 5*d. What is l rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4213*d**5 + 1886*d**2 + 28768706*d?\nAnswer: -84260*d**3 + 3772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1364 times -0.04\nAnswer: -54.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j + 5. Let b be v(6). Suppose -3*o + 40 = -b. Calculate the remainder when o is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -8*r - 105 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 603573416*f - 603573376*f - f**3.\nAnswer: -2*f**3 + 40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 2*l - 17. Let s be b(6). Is 24\/(-6) - s*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (4 + 1)) + 20 + -3.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011110101101110 - 111?\nAnswer: 1110011110101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 972*t**3 - 87909*t**2 - 363268*t - 367140.\nAnswer: (t - 87)*(t + 2)**2*(t + 1055)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + u**2 - 25*u**2.\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-35)\/2))\/(-57*16\/(-31920))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 26 = 2*a - 3*a, 0 = s + 2. Let d = a - -72. What is the highest common factor of 54 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 463383 by -9.\nAnswer: -51487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1644, 3289, 4934?\nAnswer: 6579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = 1. Suppose -4*r - 20 = -4*o, -2*o - 2 = 4*r - 2*r. Find the third derivative of 0*j**4 + 0*j**o + 3*j**2 - j**z wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*t*t**3)\/t*t*t*((t\/((t**(-2\/3)*t)\/t))\/t)\/t)**41)**23)**(4\/7) assuming t is positive.\nAnswer: t**(75440\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9*c**3 - 5*c - 2*c + 5*c**2 + 8*c**3 + 2. Let v be w(3). Let y(o) = -11*o**2 - o. Calculate y(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(-3 + 1 + 1 + (0 - 1 + 3)*(1 + 3 - 2) + 5 - 2 - 2)*(-3*q - 6*q - 6*q) in the form w + v*q and give v.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b0 + 0?\nAnswer: 2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - 3*k**5 + k**5 + (-3 + k**4 + 3)*(-4*k + 9*k + 5*k) - 3*k**2 + 3*k**2 - k**5.\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 56 (b) 3 (c) 111 (d) -4\/3 (e) -5\/4 (f) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1560885164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -66481.023 to the nearest 100.\nAnswer: -66500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 428, 858, 1286, 1712, 2136, 2558?\n\"Answer: -h**2 + 433*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -3*t - 5*b, -b = 3*t - 806 + 750 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 120*w + 1648. Determine k(-22).\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 + -3.665. Let j = -4 - y. What is j rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3*g - 15, 0 = 2*l - 404*g + 400*g - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1040152*m**3 - 12688*m**2 + 10*m.\nAnswer: -6240912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 422 = 5*f, 6*f - 5*f = 1. Let u = 745 + b. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqmmmmmqssqmmmss. What is prob of sequence mqqm?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/(y*y\/y**2*y)*y\/y**(-2\/5)*(((y\/y**1)\/y)\/y)\/y)\/(y**(-1)*y**0*(y**1)**(4\/29)) assuming y is positive.\nAnswer: y**(-397\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -769\/13. Is 0 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 2*d + 0*d + (d + 1 - 1)*(0 + 4 - 5) - 3*d + d + 0*d + 5 - 5 - d - d + d - d - d - 4*d + 3*d - 2*d + 3*d + d - 3*d - d + 6*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -431*d**3 + 285*d?\nAnswer: -2586*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 65?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.13385 and 0.127?\nAnswer: 0.00685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32122023 (base 4) to base 2\nAnswer: -1110011010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 2\/11, 1\/31, 1, -4\/7?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/2 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -597\/7 - -596\/7. Which is the third smallest value? (a) z (b) -1\/3 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + 223 + 3)*1.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.53*0.2\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4286 + 4285.8. Which is the closest to 0? (a) -0.5 (b) -5 (c) r (d) -6\/61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70e586 (base 16) to base 2.\nAnswer: 11100001110010110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3563 + 3575 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 6:40 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9738987 is divided by 268?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 7*z**6\/10 + z**5\/60 + z**4\/24 - z**3\/6 - 9*z**2. Let s be g(1). Let o = -52 + s. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(2*(sqrt(425) + 0 - sqrt(425)) - sqrt(425) - (sqrt(425) - 4*sqrt(425)*3)) + 3)**2.\nAnswer: 1800*sqrt(17) + 1530009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 5715094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/10)\/(2\/20*-2). Suppose k = -2*k - 4*z, z = -v*k. Solve 3*g + 0*g - 6 = k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 317.2 - 273. Let w = l - 44. Which is the biggest value? (a) 2 (b) w (c) 1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3130020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 80339457.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3458 is divided by 3101?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:12 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7150.6 and -145.\nAnswer: 1036837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**4 - 5*d**3 - 5*d**2 + 5*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102000 - -12?\nAnswer: 102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 11*v. Let f(c) = -12*c. Determine m(f(j)).\nAnswer: -288*j**2 + 132*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053 - -376?\nAnswer: 376.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -58. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2\/9, -0.1, 0.02, 24, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + a. Let b(g) = 4*g**3 + 3*g**2 + 9*g + 1. Let w(l) = b(l) - 5*f(l). Is w(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + 52\/(-3))*2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 1105.59.\nAnswer: -1105.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76643*o**3 + 75961 wrt o.\nAnswer: -229929*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 12:49 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -512534?\nAnswer: -512530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21411, 43704, 67807, 94626, 125067, 160036, 200439?\nAnswer: 247182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 56*z**2 + 7. Let o(x) = -28*x**2 - 3. Let i be (24\/(-4))\/((-25)\/(2800\/96)). Calculate i*o(j) + 3*l(j).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 304636619 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + i = 6*i + 8, 2*i + 4 = 0. Let u be h\/4*(-72)\/1521. Is 0 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.21 + 0.2. Let o = -0.51 - v. Which is the nearest to 2? (a) -0.1 (b) o (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1. Let s = -27 + 50. Suppose 2*k + 3*v = -s, -5*v - 17 = 3*k - 4*v. Let b(c) = -3 + 2 + 1 - 2*c**2 + 3. Give k*z(x) - b(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33169, 67237, 101305?\nAnswer: 135373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2 = 5*v - 34, -n = 4*v - 6. What is the highest common divisor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 545 - o - 66*o**3 - 546 - o. Is w(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**3 - 693*j**2 - 174*j - 537. Calculate d(-173).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37741 and 1209263?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mugugggmugumugmgg. What is prob of sequence gu?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 520031791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5904, -11852, -17800, -23748, -29696?\nAnswer: -35644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23390291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/8669 or 0?\nAnswer: -15\/8669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/((-160)\/2462798) + (-120)\/(-2400) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-31 - -9 - (-13 + 6 + 3 + 0)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16489, -32972, -49449, -65920?\nAnswer: -82385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2130 is divided by 526.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (6 + -11 + 6 + 5 + (21 - 22))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 23. Is 25 - 3 - a\/2 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(1100))*-4)**2.\nAnswer: -10240*sqrt(11) + 282624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*v**3 + 214*v - 214*v + (v + 0 + 0)*(-4 + 3*v**2 - 3*v - 1 + 6).\nAnswer: 85*v**3 - 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**3*x + 7*h**3 + 3*h*n**2 - 4*n**2*x - 177*x wrt h?\nAnswer: 9*h**2*x + 21*h**2 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/448578 and 1\/184032.\nAnswer: 7177248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 10322033?\nAnswer: 10322023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 11*p + 12*p.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 362. Is o a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -42574 and -1236592?\nAnswer: 1194018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 + -407\/6. Let q = 2\/3 - s. Solve q*p**2 + 3\/2*p**4 + 0*p + 0 - 1\/2*p**5 - 3\/2*p**3 = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(10)\/sqrt(2)))**2.\nAnswer: -72*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 737, 1478, 2219, 2960?\n\"Answer: 741*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (12 - 13) - -130) + (152 - 174)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -10*c - 64 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 9*a**2 + 2*a + 1. Let b be w(7). Let j be (5\/b)\/((-6)\/(-32)). Let u = j + 887\/1104. Find the common denominator of u and 1\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33357878131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16506 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1878*g + 19 = 4*i - 1877*g, -32 = -5*i - 4*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 14.7 (b) -4 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttsttsttsssttsstssss. What is prob of sequence tst?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/66786 and 79\/1502685?\nAnswer: 3005370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a gram in milligrams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17320729 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-1915))\/(2\/10). Let x = 103704250468\/1149 + -90256084. Let l = r + x. Calculate the common denominator of -61\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - -15. Let t = 105 - n. List the prime factors of (3\/(-2))\/((-6)\/t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918618 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -870 (base 10) in base 6?\nAnswer: -4010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12020\/(-30651)*(-12)\/(-5).\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = -q. Let a(r) be the first derivative of r**5\/60 - r**4\/4 + 4*r**3\/3 + 3*r**2\/2 - 4. Let t(w) be the second derivative of a(w). What is t(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.72 (b) -0.01 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 3*j - 7. Let c be k(6). Let y(d) = 11*d**3 + 164*d**2 - 46*d + 52. Let n be y(-15). What is the highest common factor of n and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -3 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 13 + -1 - 2) + -11 + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 13 = -m, -6*m - 34 = -4*v + 24 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 + -52. Suppose l*j = 96*j - 40863. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 1, f: 6, i: 1, h: 2, b: 3}. Give prob of picking 1 h, 1 j, 1 i, and 1 a.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-50 - (17 - (1 + -4))).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 1032566*r + 2065124.\nAnswer: 2*(r + 2)*(r + 516281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/144 + (-2)\/(-4). Let l = -55.6 - 3.4. Let z = 57 + l. What is the second biggest value in 3, z, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1076 - 1062. Let a(n) = -13*n**3 - 2*n**2 - n. Let i be a(-3). Suppose 0 = -w + 4*w - i. What is the highest common divisor of w and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 - 22598868*w**4 + 5*w**2 - 27359*w + 5?\nAnswer: 60*w**2 - 542372832*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 188 + -189. Which is the closest to 0? (a) 0.09 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101122 + -101201002201?\nAnswer: -101201111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + g**2 + 1. Let s be u(0). Suppose 4*f = 3 + s. Suppose -4*q = j - 9, 2*j - q + 4 = 4*j. What is the greatest common factor of j and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10366*p**2 + 7561*p**2 - 15277*p**2.\nAnswer: -18082*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 15*n - 1. Let y be p(-12). Suppose 2*i + 3 - y = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + 2 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1650\/(-140))\/11*25074\/3980?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 7*t + 6, -3*t = 3*g + 3. Let c be (-24)\/80 - (-1)\/2. Which is bigger: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 480*a + 14921. Give g(-32).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 15442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*o = 47*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010022 + 211102?\nAnswer: -10021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 18*i**2 - 18*i + 21. Let g be c(-19). Suppose -4*a + 5*z + 56 - 16 = 0, 18 = g*a - 3*z. Solve 0 = -o + 5*v + 6, 5*o + a + 11 = -3*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333051.\nAnswer: 3, 19, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2 - 2)*(2*c**3 - 3*c**2 + 3*c**2).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -116*x**2. Let v(r) = 42*r**2 + 41*r**2 + 39*r**2 - 124*r**2. Calculate s(v(t)).\nAnswer: -464*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 344, -1, 5 in decreasing order.\nAnswer: 344, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 + 161. Which is the fourth smallest value? (a) 10 (b) v (c) 2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/14*(-175)\/75*473\/43?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5130 is divided by 321.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*n, -4*o + 132 = -5*n. Which is the nearest to 0? (a) 0.2 (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {y: 3, k: 6, n: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -200201 (base 4) to base 7\nAnswer: -6032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3125*h**3 + 1547375*h**2 - 247520*h + 9900.\nAnswer: -5*(h - 495)*(25*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -43*q - 168. Determine j(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -22370 (c) 2\/19 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -14, -19, -6, 37, 122, 261?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/12 - 44\/24. Let j(m) = -m**2 - 7*m. Let f be j(-6). Let u be (1 + 3)*f\/(-8). Which is the closest to x? (a) 2\/9 (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + n = -4 - 2, g - 2*n - 7 = 0. Suppose g - 3 = -u. Suppose -4*r - 3 = 1. Put u, 0, r in descending order.\nAnswer: u, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 6662 + 2995 + 3672.\nAnswer: j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + 3 + (-13 - -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -301889?\nAnswer: 301892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 439\nAnswer: 219.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4 - 10. Let a(o) be the first derivative of -1\/9*o**j + 1\/3*o + 0*o**2 - 1. Factor a(h).\nAnswer: -(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -333*o**5\/5 - 5*o**3\/3 + 41*o**2\/2 - 7*o - 13. Find the second derivative of p(k) wrt k.\nAnswer: -7992*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrzrrzrrrrzrr. Give prob of picking 2 r.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -0.2. Let u = i + 7.86. Let d = 13 - u. What is the third smallest value in -1\/2, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 0 = j - 6, -3*j = 4*z - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -482 (c) 2 (d) 0 (e) 0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2412979 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlzb when four letters picked without replacement from mbfmzumzuuzbzbmllmub.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111 - -101111?\nAnswer: 10011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17081 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + y**2. Let x(a) = -3*a**3 + a**2 + 2*a - 1. Suppose 6*o - 161 = 5*o + 5*v, 0 = 3*o - 4*v - 428. Let z = 137 - o. Determine z*x(b) - s(b).\nAnswer: -2*b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i**3 - 1 - 11*i**3 - 4*i**3 to f + x*i**2 + r*i**3 + w*i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-2 - (0 + -3)). Factor -1\/4*v**3 - 1\/4*v**4 + 1\/4*v**2 + 0*v + 0 + 1\/4*v**y.\nAnswer: v**2*(v - 1)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 62 - 87 = -3*l, -4*l = r + 5. Solve l = 10*m - 0*m + 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 127 in 1, 188, 0.26?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-38)\/(-30) - (-12)\/(-18). Factor 0*h + 0 + 3\/5*h**3 - m*h**5 - 3\/5*h**4 + 3\/5*h**2.\nAnswer: -3*h**2*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74860 rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208 by -208.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10215956831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.034626 to 1 dp.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -0.3 (c) 1 (d) -5 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 20 - 27 - (-30 - 0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 288 - 30672 = 0. List the prime factors of n.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/1*(-10)\/6. Suppose 246 = -4*z + 3*t, -y*t - 110 = 4*z - 2*z. Find the common denominator of ((-513)\/z)\/((-6)\/4) and -5\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 6*j - 535. Let k = j - 107. What is a in 0 + 0*a + 0*a**2 + 2\/3*a**4 + k*a**3 - 1\/3*a**5 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1542 is divided by 125?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780 and 53978080?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 98*c**2 - 28. Let v(p) = 11*p**2 - 3. Give -3*h(q) + 28*v(q).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 632 + -980. Let c = r - -527. List the prime factors of c.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*r + 3691897 = 261*r. What is the greatest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*j**2 - 414*j**2 - 186*j**2 + 6 + 18*j**2 + 1 to the form z + d*j + p*j**2 and give p.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254.7329 + -7407608.\nAnswer: -7407862.7329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112*r - 39 = 1125*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -7\/92347930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 26*p. Let u(y) = -31*y + 1. What is k(u(l))?\nAnswer: 1922*l**2 + 682*l - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -17*y**4\/24 - 24*y**2. Let m(a) = a. What is o(m(r))?\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101010100010001 + 10001100?\nAnswer: -101101010010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**6 + 13*p**4 - 1226*p**3 + 2*p**2 - 15711*p - 34.\nAnswer: 240*p**3 + 312*p - 7356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c - 2 = 0. Let o = c - -6. Suppose -3*a = 5*n + 2*a - 60, -o = n - 3*a. Solve 0 = y + y + n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - 0.04. Let o = -0.9942 - 0.0058. What is the nearest to o in -1\/4, 2, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-6)\/36 + 34\/6. Suppose -5*r = 2*o - 12, -x*o + r + 65 = -4*r. What is the lowest common multiple of o and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 = -5*d - 12, -5*d - 40 = 3*v. What is the units digit of ((-6888)\/(-140))\/((-1)\/v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 8, j: 1, z: 1, l: 1}. What is prob of picking 1 z and 1 t?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 2\/7 (c) 3 (d) -190.6 (e) -2\/13 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5358 + -655. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 w when three letters picked without replacement from {n: 3, c: 2, i: 2, w: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 765?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5*6\/(-10))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -57)*(-5 + 0). Let n = 310 + r. Calculate the highest common divisor of n and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56817985 divided by -2765?\nAnswer: -20549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdbbgtddsdtgtb. What is prob of picking 1 s and 1 b?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(4\/3 + -2). Suppose 5749*q - 5741*q = 80. What are the prime factors of (57\/95)\/(f\/q) + 119?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -137*g + 14740. Calculate b(107).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3 - 30\/13*m - 2\/13 - 54\/13*m**2 = 0. What is m?\nAnswer: -1, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*d = d + 36, 0 = s - d - d - 4 - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5\/3 + k**4\/3 + 2744*k**3\/3 + 4100*k**2\/3 - 912*k = 0.\nAnswer: -36, -2, 0, 1\/2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -224*a - 455. What is x(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294606, 589221, 883836, 1178451, 1473066, 1767681?\nAnswer: 2062296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(-55)\/(-33)*(-2)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*(-1 + 10\/14). Let n be (g - 4\/2)\/(-1). Suppose 2*i = -n*i - 4*s - 640020, 2*i = 2*s - 639990. What is i rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 1 = -19*a - p, 4*a + 16 = -3*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 10*h**2 + 12*h + 1. What is the lowest common multiple of (-4 - -11) + 24 - (6 + -4) - -1 and o(-12)?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2300100021 (base 4) to base 5\nAnswer: 141100204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065864 + 700536 = -12*j. What is j rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-26)\/33)\/((-2)\/(-36)*-4) and -22\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20271 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19095491 divided by 16?\nAnswer: -19095491\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 5, 1, -44, 9, 2, 6 in decreasing order.\nAnswer: 134, 9, 6, 5, 2, 1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95 and 19?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/3232 and -37\/144.\nAnswer: 29088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 16. Let o(k) = -2*k - 32. Let q(i) = -5*h(i) + 2*o(i). Suppose 14*r + v = 12*r - 21, 5*r = 3*v - 69. What is the units digit of q(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5245.907 litres in millilitres?\nAnswer: 5245907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -324*j - 90*j + 2 + 665*j to the form r*j + f and give r.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 13*v + 6. Let t(w) = -2*w - 15. Let p be t(-14). What are the prime factors of k(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -5*s**7\/21 - s**4\/12 - 16*s - 20. Let n(j) be the first derivative of b(j). What is the third derivative of n(w) wrt w?\nAnswer: -600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -365*i + 73016. Give d(199).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 11. Let p(x) = -x + 17. Let h = 90 - 112. Let i = h - -14. Let r(q) = i*m(q) - 5*p(q). Let g(k) = -4*k + 5. Calculate -5*g(t) + 7*r(t).\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from kkmhhkkhmhkkhkmmkkk.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + 14*g + 737. Determine j(18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v. Let m(p) = -p**2 - 8*p. Let s(t) be the first derivative of -t**3\/3 - 5*t**2\/2 - 2. Let h(f) = 5*m(f) - 8*s(f). Determine h(n(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/48 - (2\/3)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/8517045 and -71\/780.\nAnswer: 442886340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -305*((-66)\/90 + (-2)\/(-6)). Suppose 172 = 2*t - z. Suppose -2*f + v + 100 = 0, 0 = -4*f - 2*v + 45 + t. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2 - 8*r - 2. Let y be u(4). Let l(j) = -29*j + 1. Let x be l(4). Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/806065 and 16\/62005.\nAnswer: 806065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-40))\/(3*(-20)\/96*(-18)\/18)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*l - 2, 28*p + 8 = 29*p + 5*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1455 + -11344?\nAnswer: -6556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-95)\/(-380)*1\/(-2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*w + 6*w = -2, 0 = 3*a + 4*w + 14. Let x(y) = -2*y**3 - 2*y**2 + 6*y + 8. Calculate the remainder when 37 is divided by x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.111\nAnswer: -0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**8\/560 + n**7\/280 - n**6\/120 - n**5\/40 - n**3 - n**2. Let o(z) be the first derivative of h(z). Factor o(i).\nAnswer: 3*i*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - 5. Let u = 188.68 + q. Let d = u + 2.5. Round d to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12*v**4 - 6*v**3 - 23*v + 6. Let u(y) = -35*y**4 - 17*y**3 - 68*y + 17. Let l(m) = -17*i(m) + 6*u(m). Find the second derivative of l(r) wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = -k - c, 0 = 4*c. Suppose -5*m - 74 = i, 3*m + i + 40 = -k*i. Let s be m\/35 + 177\/21. Solve 2*h + 3*t = 2*t + 10, -3*h = -2*t - s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 38730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1826, -2022, -2354, -2828, -3450?\nAnswer: -4226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 604419 divided by 60\nAnswer: 201473\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.78, 1837, -3, 1\/4?\nAnswer: 1837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1491435 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4645979782 to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -3*h + 6, 0 = -5*h - 2*i - 97 + 101 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(50) - sqrt(200)) + sqrt(50) + sqrt(50))\/(3*sqrt(10)*-4).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 - -126.8. Let o = 10.8 - i. Let m = 8 + -3. Which is the second smallest value? (a) m (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) 0.771 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -28, 5, 3, -2, -103 in descending order.\nAnswer: 5, 3, -2, -5, -28, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(28)*-2.\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 11*i**2 - 8*i - 19. Let t be w(10). Which is the closest to 2? (a) -5 (b) -0.16 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 19 = -v, -v + 5*z - 6 = 5. Let s = -616 + 616. Suppose 2*m - r + 177 = 4*m, s = -m - r + 87. Calculate the smallest common multiple of m and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 655975, 5, -4 in decreasing order.\nAnswer: 655975, 5, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k = -47 - 89 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14 + 13 - 8*c - 14 - 3*c - 1184*c**2 - 6*c wrt c.\nAnswer: -2368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -21*t**2 - 2*t - 2. Give n(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*y - 54, -3*w + 2*y = 38 - 157. Solve 0 = -x - 35 + w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 287, 460, 649?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mum when three letters picked without replacement from mmxxmmmmxmmummmmum?\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(56\/(-20) - -3). Let p = 1.0808 + -0.0808. Which is the second smallest value? (a) 2\/9 (b) p (c) x (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -19. Suppose 8*t - 8 - v = 0. Suppose t*w = -4, -4*w + 6*w + 3518 = 2*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 7:56 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22100 - 122022?\nAnswer: -221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5590.76986 - 2.0198?\nAnswer: -5592.78966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 13*g**2 + 156*g + 119. What are the prime factors of d(28)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1383729 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) - 24\/45.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hge when three letters picked without replacement from yyeyyyyhyyghhhgeyg.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 61 (b) 3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 + z**3 + z**3 - 34*z**2 - 33*z**3 + 34*z**2 + (2 - 6 + 2)*(-4*z**3 + z**3 + 2*z**3).\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 386 + -1156\/3. Which is the closest to d? (a) 0 (b) 28 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(112) + sqrt(112)*2*-4 + (sqrt(112) - sqrt(112)*-2 - sqrt(112)) + 4)*-4)**2 + -1).\nAnswer: -2560*sqrt(7) + 45055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/60 + 9\/(-45). What is the nearest to n in -1, -5, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = t. Suppose -t*c - 1 = -29. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-9) + (-65)\/(-3). Suppose 4*v - 6*v = -i - 8, 3*v - w = -4*i. Differentiate -b**2 - 10*b**2 + 3*b**2 - 30 + 0*b**i with respect to b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.2, 1, 14, 2.\nAnswer: 0.2, 1, 2, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 7*w**2 + 10*w + 3. Let n be (5\/((-20)\/12) - -3) + 42. Suppose 4*i + 5*b + n = 0, 0 = 5*b + 3 + 7. Calculate s(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 11:11 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50927 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*x - 6, s = x + 2 - 3. Suppose b = -s*b + 5*v + 1247, -v = -b + 413. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**3 + 5*g**3 + 7*g**3 + (5*g**2 - 7 + 7)*(-3*g + 3*g - g) + 67*g**3 + 12*g**3 + 0*g**3.\nAnswer: 81*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.3 (b) -1 (c) 1 (d) 8.8272 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-48)\/15)\/(14\/105 - 2552\/19230). Round f to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (-1 + 0 + 1). Let i(h) be the second derivative of h**5\/20 - h**4\/2 + 3*h**2 + h. Is i(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 37 = 3. Suppose 16*j = 12*j + y. Solve 12 = -h - h + 4*s, 0 = -h + j*s - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4042252 (base 7) to base 13\nAnswer: -13ac38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95.9402267 + 95.94. Round n to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-552208)\/(-20) + (-2 - 3)*27\/(-225) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*b - 71 + 167 = 32*b - 352 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - m - 11. Let l be y(8). Let f = l + -31. Suppose -20*s + 4*u = -24*s + 196, -u + 257 = 5*s. What is the remainder when s is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 8. Let s(t) = 3*t**2 - 8*t. What is the remainder when 63 is divided by s(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 7*k - 4. Suppose -4*r = -r - 24. Let l be t(r). Suppose 2*y + 15800000 = l*y. What is y rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 2*d + d)*(4 + 2 - 3) + d - 4*d + d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16830\/120*1080\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264358?\nAnswer: 2, 131, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*o = 5*l + 2, -4*o + 5*l - 33 = 0. Let h be 5\/10 - o\/2. Let x(z) = z - h*z + 4*z. What is x(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 7*n - 4. Suppose 4 = -a, k = -0*a + 3*a + 18. Let z be p(k). Let r(t) = -z*t + 2*t - t. Let v(y) = -2*y**2. What is v(r(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-4.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/10 and -65\/49284.\nAnswer: 246420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3078 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 8*v**2 - 4*v + 2. Let k(w) = -w**2 + 3*w + 11. Let s be k(4). Determine l(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 189339 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94d5 + -5?\nAnswer: -94da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 168. Suppose -14 = -z + 5*i + 5, 0 = 4*i - 16. Let f(g) = -g - z - s + 74. What is f(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 8*w - 31. List the prime factors of p(-6).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**7\/210 - j**6\/60 - 4*j**2. Factor p(u).\nAnswer: u**3*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1428514, 2857038, 4285562, 5714086, 7142610, 8571134?\n\"Answer: 1428524*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23874.\nAnswer: 2, 3, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 607, 917, 1237, 1573, 1931, 2317, 2737, 3197?\n\"Answer: k**3 - k**2 + 306*k + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 77 + 36 - 113 + 3607*m - 214*m as v*m + f and give v.\nAnswer: 3393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8105563981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 l when three letters picked without replacement from llgggl?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 9 - 0 - -6 - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194976 divided by -16.\nAnswer: -12186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 3 - -1 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62857 rounded to the nearest one thousand?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/6)\/(3\/6). Let g(a) = a**2 - 45 + 0*a**2 + 49 + x*a. What is the remainder when g(-9) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155910360, -155910363, -155910366?\nAnswer: -155910369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkzkkwkktqkklwk. What is prob of picking 1 k and 1 z?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -749, -1508, -2219, -2858, -3401, -3824?\nAnswer: -4103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 - -28. Let i be (-96)\/72 + 14\/15. Put i, y, 5 in decreasing order.\nAnswer: 5, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248568.\nAnswer: 2, 3, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -19, 3, 0, -12, -1\/2, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - ((sqrt(99) - 1*sqrt(99)*1) + sqrt(99)) - sqrt(99)) - sqrt(99) - -2*sqrt(99)*3)\/(sqrt(36)\/((sqrt(32)\/sqrt(2))\/sqrt(4))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.129 (b) 117 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*v + 2*v - 3, 12 = 3*a - 3*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u + 34. Let q be w(-5). Suppose 4*n = 2*o + 1172, -2*n - 62 = -q*o - 636. List the prime factors of n.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -168. Suppose -6*w + k = -217. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 41*g - 34. Let r be v(-40). Let b(m) = -17 + 11 + 40*m**2 - 39*m**2 + r. Let u(h) = -28*h**2. Calculate b(u(d)).\nAnswer: 784*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 8*m - 5. Let c be z(-9). Suppose -q - 3*d + 168 = 0, 0 = 2*q + q - c*d - 543. What are the prime factors of q?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31890087 and 0.5.\nAnswer: -31890086.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*r - 4*t, 0 = -2*r - 2*t - 2. Solve 0 = u - 3*c - 13, r*c = -3*u - 4*c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 999359702?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4118375 or -4118373?\nAnswer: -4118375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9*p\/p**41)**30 assuming p is positive.\nAnswer: p**(-930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -4 (c) -286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-14) + 2926\/(-49). Let q be (-114)\/(-4) - m\/(-40). What is the greatest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000121654043 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25489107 to the nearest integer?\nAnswer: 5049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 4*r**3 - 3*r**3 - 146*r + r**3 + 147*r in the form f*r**3 + a + w*r + z*r**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 4*f**2 - 6*f + 5. Give c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 248 + 227 = 3*h, 0 = h - l + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 4*g**2 + 5*g + 11. Give d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1837 + -1836.99988219. Round t to 6 decimal places.\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**6\/6 + 15*l**5\/4 - 5*l**4\/4 - 215*l**3\/6 + 75*l**2 - 2641*l. Determine z so that r(z) = 0.\nAnswer: -15, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -133*u**3 - 15*u**2 + 34*u + 235. Is y(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from iaivcaco?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -6, 1633 in decreasing order.\nAnswer: 1633, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1628 by 1.\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 933077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.004 + 25.004. Let h = -14 + d. Let g = h - 16. What is the second biggest value in -2, -2\/3, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 15) in base 9?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 9*b - 65 = 0. Let a(r) = -r**3 - r + 2*r - 5*r**2 + 4*r**2 + 26. Let s be a(0). Calculate the greatest common divisor of s and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12382 - -17996. Calculate the lowest common multiple of 14 and h.\nAnswer: 5614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - sqrt(102)*1*3)\/(sqrt(54)*-2).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-49) + (-205)\/(-7). Suppose -5*b + 4*u = -74 + t, -5*b - u = -20. Suppose -114 = -2*h - 2*x, b*h + 2*x = -0*x + 282. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47421*u**4 + u**3 - 32*u**2 - 54?\nAnswer: -1138104*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in centuries?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32, 5, 32, -3, 23 in descending order.\nAnswer: 32, 23, 5, -1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2327 + 1600. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8947, 8657, 8367, 8077, 7787?\n\"Answer: -290*t + 9237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -32*s + 9. Let y be u(3). Let k be -1 + (-1)\/3*y. What is the second derivative of -k*g**5 + 5*g - g**2 + g**2 + 33*g**5 wrt g?\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5417586 or 5417585?\nAnswer: 5417585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97\/20 + 17\/4. Let w = 317.1 - 317. What is the second smallest value in 2\/17, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.05 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/4)\/s)\/s*s**(4\/7)*s*s**(4\/9)*s*s*s**(-6))\/((s**(-4\/3)\/s**(-2\/19))\/(s**1*s)**(-16)) assuming s is positive.\nAnswer: s**(-170003\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 - 2*f - 1. Determine k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -122 + 93685?\nAnswer: 93563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000254164832 to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3109245 is divided by 250.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3953*o + 2 - 4390*o to the form r*o + v and give r.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -15*c + 13. Let i(p) = -7*p + 6. Let h(q) = -13*i(q) + 6*o(q). Let w(d) = 5*d - 6*d - d. What is w(h(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 - r - 109 + 0*r**2 + 23*r**2 + 111 in the form z*r**2 + h*r**4 + b + g*r**3 + s*r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, c: 9}. What is prob of picking 3 j and 1 c?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9)*c)\/c**(-1))\/(c*c**(-3\/5)*c**(3\/5)) assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 7 = -3*d + 4, 3*d = 3*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*c - 2*u - 4, 3*c - 3*u = -18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 + 4\/9)*(-33)\/88)\/(20\/30)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5990869*q**4*s**3 + 2*q**4*s**2 + 146592*q**2*s**3 - 18*q**2*s**2 wrt q.\nAnswer: 143780856*q*s**3 + 48*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 17 = 5*o + h, -2*h + 26 = -4*o. Put -4, -11, o in increasing order.\nAnswer: -11, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 151 = g, z + g - 9 = 26. What is the remainder when 90 is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.82709mm in kilometers?\nAnswer: 0.00002582709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 17*d + 2. Let y be l(4). Round y to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c - 7 + c**3 - 8*c + 13*c**2 + 16 + 9. What are the prime factors of s(-8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*z - 8. Solve 3*k - z = 7*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 1) + 7 + -262003. What is q rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3276 and 150930468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120222222020 (base 3) to base 16.\nAnswer: -4ce1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Suppose 5*y - 55 = -d. Calculate the highest common divisor of 4 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-34)*((-111)\/148)\/(3\/8)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4) - 3) + (-11)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/3, -385, 4?\nAnswer: -385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11244 times -4?\nAnswer: -0.44976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 4. Let z(h) = -2*h - 9. Let p(w) = -7*t(w) + 3*z(w). Let a be p(4). Solve -4 = a*l + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24985 is divided by 227.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008497 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 211?\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -c5 (base 13) in base 3?\nAnswer: -12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 3*k**2 + 3*k - 3. Let m(z) = z**3 - 3*z**2 - 2*z + 2. Let j(f) = 3*m(f) + 2*u(f). Factor j(n).\nAnswer: -n**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718*h - 720*h = 4*p - 8, p + 5*h - 20 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/30)\/((-71)\/(-852)). Let n be 25\/(-9) - (-15)\/5. What is the smallest value in g, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316387 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12029\/88 - -1384\/11. What is the common denominator of f and -83\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436589 divided by -36367?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -32 - 3\/3. Let j = y - -245. Suppose 0 = p - 6*p + j. Calculate the highest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -4)*(10 - -1). Let h be w\/6*1 + 8\/(-12). Suppose 7935103 + 764897 = -h*i. What is i rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432284, 432293, 432306, 432323, 432344, 432369, 432398?\nAnswer: 432431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1933214ng in tonnes?\nAnswer: 0.0000000000000001933214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54.5 - 322507621.\nAnswer: -322507675.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-3.390305.\nAnswer: -0.1356122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(1539) + 2) + -1*sqrt(1539)*4)**2*2.\nAnswer: -216*sqrt(19) + 3146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h - 58. Calculate u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -75, -61, -49, -45, -55, -85, -141?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8489?\nAnswer: 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3560972 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 518\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 447*q**2 + 3300*q - 3744.\nAnswer: -3*(q - 156)*(q - 1)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/176 + (-16)\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2970*s**2 - 74*s**3 - 2970*s**2.\nAnswer: -74*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*o + 194*o + 5714 - 34 = 0. Sort o, 4, 82, 5 in descending order.\nAnswer: 82, 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 30*a**2 - 30*a - 49. Calculate q(31).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 558174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - 34. Let p be n(-19). Suppose -3*y + 0*b = -5*b - 44, 5*y + 4*b = p. Let o(t) = 162*t - 7. Is o(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*d**2 - 182754*d + 103*d**2 + 91375*d + 91379*d.\nAnswer: 487*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1291, 2578, 3865, 5152, 6439?\nAnswer: 7726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 - 2 - 12*g + 5.\nAnswer: -12*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244638783.\nAnswer: 3, 37, 307, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-6 - -4)) + -1 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 5*v**2 - 5 - v**2 - 3*v**2 in the form s + p*v**2 + d*v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(176)*-1 + sqrt(176) + sqrt(176))**2*1.\nAnswer: -8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3 + 6 = 2*t, 20 = 4*g. Let i be (-2 + 227)*t\/(-10). Suppose 4*o - 168 = i. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 912\/57*(-3)\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34133, -34135, -34147, -34175, -34225, -34303?\n\"Answer: -l**3 + l**2 + 2*l - 34135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5. Suppose 6 = -3*f - 6. Let b(o) = -o + 6. Give f*w(l) + 3*b(l).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43785949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1199 - 361 = -8*x + 136. What is the highest common factor of x and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, k: 1}. Give prob of sequence nn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/62, 0.1, 215\/2?\nAnswer: 215\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147944723 - -148010223.181. Let q = i - 65350. Let h = q - 150. What is h rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3850854 divided by -1\nAnswer: 3850854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/8914 - 592793\/106968. What is the common denominator of l and 4\/160*404\/3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -675*t**2 - 1069*t - 1?\nAnswer: -1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196690.\nAnswer: 2, 5, 13, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 192411 - 193585.13. Let x = -1174.69969 - a. Let f = -0.57 - x. Round f to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose 81 = -k*d - 23. What is the units digit of d\/(-10) - (-4)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -75)*(-17)\/34. Let n = -66 - h. Let s = 50 + n. Calculate the smallest common multiple of 44 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7176 and 3354.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639321093 divided by -1?\nAnswer: -1639321093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 2 + (20 - 19) - -22?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 136?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v - 78 = 2*p, -2*v + 3*p = 27. Let j be -3*3\/(v\/16). Suppose -4*o + 2*o = -j. Sort 10, 1, o in decreasing order.\nAnswer: 10, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**4 - 17433*d**3*j**2 - 256816*d*j**2 wrt d.\nAnswer: 48*d**2 - 104598*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0.1, 0, 5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37551 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569197211?\nAnswer: 11, 51745201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665234?\nAnswer: 2, 332617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72222078? (a) -2\/11 (b) 1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5163932 is divided by 1290977?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77050292.4 - -386.5?\nAnswer: 77050678.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/96 and -103\/84?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i = -70. What is the remainder when 27 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (2*sqrt(200))\/sqrt(10) + sqrt(20) + ((sqrt(140)\/sqrt(112))**2 - sqrt(20)) + (sqrt(500) + 0)**2).\nAnswer: -6015\/4 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 73. Let n = x + -38. Sort -5, -0.1, n, -17.\nAnswer: -17, -5, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-1)*(0 - 2). Let t be (-2)\/(34\/w + 3). Sort t, 2, 0 in decreasing order.\nAnswer: t, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0*z**4 + 0 + 0*z + 0*z**3 - 1\/40*z**6 - z**2 + 1\/20*z**5. What is the third derivative of w(m) wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54bd - -a?\nAnswer: -54b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 35 = l, -491*l + 492*l + 7*t + 60 = 0 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (-8 - -41 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -11, 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 269*c**2 + 151*c - 155. Is o(88) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31005 and 90675.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 288?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(605) + sqrt(605))**2 + 2.\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 4:51 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3111*p**2 - 12804*p**2 - 3600*p**2 + 459*p**2.\nAnswer: -19056*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -29. Let a be -8*((-5)\/2 - -2). Suppose a*s + 3*d = 23, 0 = 5*s - 3*d + 4 + 1. What is the greatest common divisor of s and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 10. Let k be g(-4). Let q be (k - (1 - 5)) + 3. What is the greatest common factor of 14 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.3 (b) -8 (c) -74 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -44532754.4?\nAnswer: -44532754.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/(s*s**(2\/39))*s))*s**(-23) assuming s is positive.\nAnswer: s**(-860\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19 - -0.56.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-6))\/(28\/42). Sort 5, 4, w in descending order.\nAnswer: 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 6*r**2 + 4*r - 5. Let i be d(-5). Suppose m + 59 = 5*c, 0 = 4*c + 5*m - 3*m - 36. Let f = 10 + -1. Solve i = 5*y - f - c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006286522 to 4 decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3 - 7*l - l**5 - 8*l**5 + 2*l**3 wrt l.\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1225551352 divided by 34.\nAnswer: -36045628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -602, 1806 in decreasing order.\nAnswer: 1806, 2, -602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 442790873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*o**3*p**2 - o**3 - 5405*o*p - 4*o + 4243*p**4 - p wrt p.\nAnswer: -26*o**3 + 50916*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 - (-2 - -8). Suppose -2*z + z = -5. Suppose -2*m - 5 = z. Put -1, y, m in increasing order.\nAnswer: m, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**3\/3 + 9*m**2\/2 - 22*m - 78. What is the units digit of g(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(17*m + 3*m - 10*m) - 3*m + 4*m - 3*m.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 7 + 2 = -3*c, 2*b + 5*c = -35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315 is divided by 243?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313996190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -20*x**2 + 33*x**2 - 4 - 15*x**2 + 4. Let n(d) be the third derivative of 13*d**5\/20 + 2*d**2. What is k(n(r))?\nAnswer: -3042*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*d - 107*d - 456 = 0. Let t = 26 + -26.5. What is the biggest value in t, 0, -2\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:43 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 14. Let b = -11793488 + 11793491.9999962. Let d = b + j. What is d rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/99)\/(4\/(-144))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808 divided by 476?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109587379, -109587377, -109587375, -109587373, -109587371, -109587369?\nAnswer: -109587367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.8 - -14. Let m = -2 - g. Let x = 228\/5 - 45. What is the nearest to -0.1 in -1\/2, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1379 and 777.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.24 - 9.76. Which is the biggest value? (a) 0.2 (b) 0 (c) n (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (6 - -6) + 0 + 6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*11\/((-22)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2257 and (-1449)\/3626 + (-66)\/14 + (6 - 1).\nAnswer: 31598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2, 93, 0.5, 8\/101, 12?\nAnswer: 8\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**3 + 34*b**2 + 7*b - 4. Give n(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:40 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and -1*3 - (-4 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g + 2291. Let q(r) = 2*r - 1526. Let m(f) = -5*a(f) - 7*q(f). Let c(k) = -2*k**2. Determine c(m(i)).\nAnswer: -2*i**2 + 3092*i - 1195058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/24 and 11\/159356?\nAnswer: 956136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-26)\/(-4))\/((-7)\/(-7056)*12) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 30*m**2 - 9*m + 14. Give w(2).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -4, 27, 3 in increasing order.\nAnswer: -31, -4, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 78322*f + 189. Is l(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 2. Let i(v) = 30*v - 21. Suppose 0 = -20*l - 515 - 5825. Let c = 321 + l. What is c*i(j) + 42*p(j)?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 817.7, 1\/4, -25, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218090108 is divided by 170?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 942*s - 15220 + 8286 - 20255.\nAnswer: 942*s - 27189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 2*g + 6*g)*(g**2 + g**2 + 6*g**2 + (-2*g + 3*g + 0*g)*(0*g + 0*g - 2*g)) to the form q*g**3 + j*g**2 + d + u*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*j - 353*j + 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 4:18 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 17173.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - 26*v**2 + 124*v - 97. Let s(n) = -n**3 - 3*n**2 + 1. Let r(a) = 4*s(a) + 4*y(a). What is h in r(h) = 0?\nAnswer: 1, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-3 - (-2 + 6 + (-12 - -3)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/153 and 58\/20848347?\nAnswer: 354421899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 4284*g + 4287.\nAnswer: -3*(g - 1429)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2290 divided by -37483.\nAnswer: 2290\/37483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -14564*i + 2505021. What is u(172)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 + h. Suppose -3*y - 2 = 2*o + 2, 9 = 3*o - 3*y. Let z be g(o). Suppose -4 + 14 = z*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2257, -17, -18 in increasing order.\nAnswer: -18, -17, 6, 2257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/50)\/((-7)\/10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -28e42?\nAnswer: -28e45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21820160 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 212 - 0?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -2\/81 (b) -92 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddsdddddddsdddddds. Give prob of sequence sds.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101664307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -153 and 88.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75777 + 1273?\nAnswer: -74504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-800)\/(-440))\/(-2 - 20\/(-11)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 70*u**2 - 49*u + 21. Let t be -1*-2*(-1)\/1. Let q(r) = 7*r**2 - 5*r + 2. Let m(j) = t*d(j) + 21*q(j). Find the second derivative of m(s) wrt s.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12627599 - 12630823 = -124*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-6))\/((-4)\/(-30)). Let s = 198 - 48. What is the highest common divisor of s and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5143.\nAnswer: 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 219?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20312, 20098, 19884, 19670, 19456?\nAnswer: 19242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1875)\/10 - 3)*4\/(-6). Is (-2 - -5)*h - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3193972.\nAnswer: 2, 479, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/12 and 27\/484.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3856055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -41*p - 1. Let b(a) = -86*a - 3. Let r(d) = b(d) - 2*z(d). Let q(l) = l. Determine 3*q(c) - r(c).\nAnswer: 7*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20240 - -20321. Calculate the greatest common factor of w and 18144.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 481 - 403. Let x = h - 62. Let s(f) = 45*f. What is the remainder when s(1) is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 - d - 5. Let g(l) = -l**3 - 22*l**2 + 4*l + 26. Let o(v) = 2*g(v) + 11*n(v). Let w(f) = -3*f**3 - 5*f - 5. What is -5*o(y) + 3*w(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4 = 2*l, -4*l + 2*x + 0 + 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 466460 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 10*u - 3. Let z = -35 + 37. Let y(c) = -10*c**2 - 31*c - 8. Let o(b) = z*y(b) - 7*l(b). Give o(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmbb when four letters picked without replacement from mbbmmmfb?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:12 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110011001100100 + -10011111?\nAnswer: -1110110011100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1457 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:11 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-2)\/(-4)*-2. Suppose 8*z = v*z + 196. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1074.53 - 891. Round m to the nearest integer.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -84961 + 5819?\nAnswer: -79142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 48620 = -5590. Is 139 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -24. Suppose 3*m + 2*m = -3*l + 80, -3*l + 4*m + 44 = r. What is the highest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -74, -0.5, 4, -2, 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15968988 divided by 42246?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - z)*(-3288 - 993*z**2 + 3288) to the form c*z**2 + a + j*z**3 + l*z and give j.\nAnswer: 993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/4, -0.3, 17195400.\nAnswer: -1, -0.3, -1\/4, 17195400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 5*x**3 + 7*x + 2*x**3 + 2 - 2 - 4*x**3 - 4*x**3 + 6*x**3 + (-4*x + 4*x + x)*(0 + x**2 + 0) - x**3 + x**3 - 2*x**3)*(4*x**2 + x**2 - x**2).\nAnswer: -24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23108 + 4789?\nAnswer: 27896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g - 1. Let d be j(1). Suppose 0 = 3*i - d, -7*u + 4*i + 4 = -3*u. Let w(z) = -36 - 2*z + 31 + 9 - z. What is w(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -88649038527685?\nAnswer: -88649038527685.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 715263533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*l**2 - 2*l**2 - 55*l + 54*l)*((-1 + 4 - 2)*(-1 + 0 + 2) + 2 + 1 - 5 + 1 + 1 + 0).\nAnswer: -22*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2438041cm?\nAnswer: 0.000002438041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - 1*(sqrt(114) - (sqrt(114) + -1*sqrt(114))))\/(-3*sqrt(24)) + (sqrt(152)*3 - sqrt(152))\/sqrt(8) + 5*sqrt(475).\nAnswer: 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppnn when four letters picked without replacement from oneernggeppn?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633908526?\nAnswer: 2, 3, 1217, 86813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/3)\/(18\/(-81)). Let k = 9 + o. Suppose k*p + p - 316 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3) + 0)*0. Solve i - 1 - 3 = r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1625.104026us to weeks.\nAnswer: 0.000000002687010625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 3*f + 9 = 4*z, f = -5*z - 11. Let y = 7 + z. Solve y*s + 16 = s + 4*t, -3*t + 15 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q + 35*q - 14*q + 2*q. Let d(u) = -10*u**2 + 11*u + 11. Let w(j) = -2*j**2 + 2*j + 2. Let c(m) = 4*d(m) - 22*w(m). Determine c(v(s)).\nAnswer: 576*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*r - 20, 5*f - 2*r + 12 - 2 = 0. Let h be (-1 - f)\/((-3)\/81). Calculate the greatest common divisor of 216 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -2*j**4 - 8*j**3\/3 + 7. What is the third derivative of r(y) wrt y?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.8 - -6. Let a = -270\/25157 - -265789375\/528297. Let d = a + -503. What is the nearest to 0 in d, 2\/7, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzz. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 - 11 - 10 - 7*d**3 + 18 to the form v*d + t + b*d**3 + p*d**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(51)\/sqrt(3) + (sqrt(102)*-1)\/sqrt(6)) + 0)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrir when four letters picked without replacement from aninianwawrawwaiail?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-20))**(-43)\/(n**(2\/17)*n**(-1\/17)) assuming n is positive.\nAnswer: n**(-15352\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -20*s + 3. Let d(o) = -21*o + 4. Determine -3*d(i) + 4*z(i).\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/3*(-3)\/(-2). Let c(z) = z**2 + 1. Let q be c(1). Solve w*g = 3*g - q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14168732.\nAnswer: 2, 59, 60037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 8. Let k(u) = -u**2 + 10*u + 32. Let n be k(12). What is g(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 4*w**2 + 3*w - 4. Let p = 11 + -7. Suppose -p*x - 4 = -12. Let o be 1 - (x - -1 - 7). Calculate k(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79\/4 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 449.\nAnswer: -2, 2, 449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*f + 13, 4*f - 3*q = q + 56. Let h be 15\/(-18)*f\/(-6). What is the third biggest value in h, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/35630 and -13\/8.\nAnswer: 142520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3288 and 65\/411?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-4)*6\/(-9). Let q(m) = 2*m - 3. Let j be q(f). Suppose 6*h - 12 = j*h. Solve -h*w + 9*w = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 59 - 8 = 0. Let b(r) = 2*r**2 + 3*r**2 + 3*r**2 + 4. Does 38 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 16*a + 6. Let x be n(16). Let f(u) = -3*u + 9. Determine f(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 25431131?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let c be 1\/(4 + (-11)\/3). Let h(j) be the first derivative of 0*j + 2\/3*j**c - 3 + 0*j**2. Determine v(h(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/15)\/((-4)\/(-30)). Suppose -1216 = -28*u + 1472. Calculate the highest common factor of u and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a - 4. Suppose -a*m = -33 - 15. Solve -3*t = -3*n + 6, n + n + 2*t = m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445544 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101000110110 - -111110?\nAnswer: -1001100111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40386 is divided by 275.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1616299 divided by -336\nAnswer: 1616299\/336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1819 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from rrrwrrrrrrw?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3341 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from kzkzskkakzkaaaakka.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38538001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-14 - -25) - (9 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3)**(-1\/61)\/(v**(1\/4))**(-18))**39 assuming v is positive.\nAnswer: v**(21177\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, 38, 463, 1060?\nAnswer: 1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1788058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 1. Suppose 0 = -8*i - 42 + 106. Let b be (-9)\/12 - 154\/i. Let x = -23 - b. Give c(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -40)*2\/1. Let l = -54 + a. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95, -133, -171, -209?\n\"Answer: -38*i - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2473*w + 1976*w + 4*w**3 + 497*w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -560 - -571. Let a(h) = -5*h - 6. Let v(t) = 14*t + 18. What is r*a(w) + 4*v(w)?\nAnswer: w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 6, q: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 488, -324, 4, -1 in increasing order.\nAnswer: -324, -4, -1, 2, 4, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4246 + 4246.000008678. What is a rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*q = b + 8, 2*q - b = -7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:33 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/6)\/((-3)\/680). Suppose -3*v - 4*r = -206, v + 5*r - g = -4*v. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i = 36*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.449\nAnswer: -0.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 24*p**2 - 15*p - 1. Let n(u) = 11*u**2 - 7*u. Let y(t) = -13*n(t) + 6*r(t). Give y(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**6 + 898*i**4 + 5*i**3 + 2*i**2 - 6*i - 137 wrt i?\nAnswer: -120*i**3 + 21552*i + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -23. Calculate the remainder when j + 7 - (-17 + -2) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(8*d - 19*d + 7*d) + 1 - 1 - 2*d as j + c*d and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/8 (b) -3\/10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*s + 646 + 113966 = 11365. Does 47 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**3\/3 - v**2\/2 - 42*v + 1. Calculate the smallest common multiple of 108 and z(-7).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92803093+2\nAnswer: -92803091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/846172?\nAnswer: 3\/846172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 u when four letters picked without replacement from gguugggg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1754395*h**2*m**2 - 72275120*h**2 - 2*h*m**4 wrt m?\nAnswer: -3508790*h**2*m - 8*h*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90261473573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 157, 181, 185, 163?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 2:52 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 s when four letters picked without replacement from wgggsggggsgsggg?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 3*j + 5. Let k(n) = 2*n**2 - 6*n - 6*n**2 + 10 + 1 + n. Let f = -11 - -16. Let p(q) = f*m(q) - 3*k(q). What is s in p(s) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174592\/13 greater than 13430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 72866.4, -21, 6\/5.\nAnswer: -21, -0.3, 6\/5, 72866.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + -4?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -5*b - 6, b - 38*z + 35*z = -4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/64 - (-6*(-161)\/140 - 10).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = 58*m - 21*m - 15*m + 42 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7*(25\/(-5))\/5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9131931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4)*(-3 + -17). Suppose 0 = -4*m - 3*l + 422, -2*l = -j*m + 206 + 310. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1621, -1625, -1631, -1639?\nAnswer: -1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468 + 21*b**2 - 307 - 24*b**2 + 347.\nAnswer: -3*b**2 + 508","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/3 - 28*t**3\/3 + 26*t**2\/3 + 168*t + 216.\nAnswer: 2*(t - 9)**2*(t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37363070989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-3078.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, 44, 170, 400, 764, 1292, 2014, 2960?\n\"Answer: 5*f**3 + 7*f**2 - 4*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-37345151)\/1203 - 10\/(-30). Let v = t - -31043. Let l = v - -35731\/2406. Calculate the common denominator of -17\/5 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7709866914 less than 190?\nAnswer: -7709866724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968261591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 2}. Give prob of sequence cxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*v - 523, 5*r = 2*r - 5*v - 299. Let t = 224 - r. What is the greatest common divisor of 545 and t?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/32 in -0.15, 1\/2, -5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {m: 5, y: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 10708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416479387.\nAnswer: 3083, 135089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 11*o - 5. Let p be l(-10). Solve -p*a - 5*r = 30, a - 9 = 2*a + 2*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*d = 661 + 1915 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**3 - 5*z**2 + 2*z - 9. Let y(v) = 11*v**3 - 15*v**2 + 7*v - 26. Let b(w) = 8*k(w) - 3*y(w). What is the remainder when b(4) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847 - 3199 = -244*h - 4687 - 4253 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 39635\/669?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, m: 3, d: 2}. What is prob of picking 1 m, 1 d, and 2 o?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9957192 divided by -711228\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, q: 1, n: 6, t: 5}. What is prob of picking 2 v, 1 q, and 1 t?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10))**31*(o**(-2\/3)\/o)**(3\/4) assuming o is positive.\nAnswer: o**(-1245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7033852 and 187.\nAnswer: 77372372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 - 2. Let g = -23.9 + 25. Let n = -6.1 + g. Which is the closest to v? (a) n (b) -5\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203409921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*i - 24 = -392*i. Let z be i\/33 - (-3 + (-600)\/(-33)). Let p(x) = x + 5. Determine p(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301021002 (base 4) in base 3?\nAnswer: -101020002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-6))\/(3\/18). What is the closest to 1.1 in a, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 22*k - 114. Let q be o(9). Suppose 17 = 3*s + x - 9, 3*s - 6 = q*x. Calculate the lowest common multiple of 84 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 11*f**2 + 11*f + 12. Let l be a(-10). Let j = 468\/755 - 3\/151. Is j greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252481?\nAnswer: 252481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*p - 3*g + 182, 3*p - 3*g = 150. Calculate the smallest common multiple of p and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 10*d - 2*n = 21049, 0 = -3*d + 3*n + 5748. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12*h + 2592 = 0. Let f = h - 125. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2 + 8. Let p be 4\/(-3)*9\/(-6). Suppose 0*r = -r - p*g + 14, 0 = -r + 2*g + 6. Calculate the highest common divisor of l and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310687531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6381*x**3 + 10*x**2 - 27*x - 35. Calculate l(-1).\nAnswer: -6379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 7*l - 90. Let t be ((-4)\/l)\/(2\/(-3)). Let 2\/3*w**3 + 0 + 0*w - t*w**4 - 1\/3*w**2 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 11 - (10 + -1 + (1 - 17))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7718.08 tonnes in grams?\nAnswer: 7718080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8323587688177 take away -25?\nAnswer: 8323587688202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 5*k - 4*f + 1 + 4, -3*k = -4*f - 43 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291960458 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -20*h - 34. Calculate the remainder when q(-10) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 60. Suppose -35 = -i - z. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 51.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -21*g. Let x(v) = -14*v - 5. Let q(s) = 6*s + 2. Let p(h) = 5*q(h) + 2*x(h). Calculate p(r(b)).\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 164, 167, 172, 179?\n\"Answer: j**2 + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000098231 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5184815 and 1520?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505787*d - 500945*d - 162292*d - 142644*d + 6.\nAnswer: -1311668*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 27\/21*(-68)\/(-561)*11\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**3 - 4*f**3 - 3*f**3)*(2 + 0*f + 4*f - f) to the form i*f + c*f**4 + r*f**3 + m*f**2 + n and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56888.\nAnswer: 2, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2*g - 5 + 3*g - 5*g + g + (-6 + 9 - 5)*(-3 + 5*g + 3) in the form c + q*g and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + -0.17. Let s = -0.09994 - q. Round s to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*m + 25, -5*m - 89 = 3*o - 7*o. Let d(s) = s - 1. Let j be d(-5). What is the remainder when j\/39 + 522\/13 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-4 - -1 - -20)) + 27 + -1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {u: 1, j: 7, q: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(475) + -2)*-6 - (1 + sqrt(1900) + 1 + 4).\nAnswer: -78 + 170*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 685 and 4039445.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j*k - 7*j*o - j - 24*k*o + 160*k + 3*o + 69 wrt k?\nAnswer: 2*j - 24*o + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 3*n - n)*(27 - 2 - 6)*(3*n - n - 3*n).\nAnswer: -38*n**2 - 38*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243296 divided by -218.\nAnswer: -121648\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*y = 5*d - 10, 0 = -3*y - 3. Suppose -s = d*s - 5*b - 2955, 0 = 4*s + 4*b - 3000. Suppose 10*g - s = 5*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 4*r - 74. Let n be ((-9)\/r)\/((-3)\/6). Suppose -h + 0*h - 1 = 0. Which is bigger: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1424 divided by -8.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -155885, -311733, -467581?\n\"Answer: -155848*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.21 + -2.09. What is the nearest to 11 in w, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 2\/11, -1.9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 7. Suppose 0 = -b - 2*b + 4*t + 41, -d*b + t = -29. Suppose -6*u = -3*u - b. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**4 + 2*z**4 - 17892 + 17889 - 13*z**3 - 2*z + 3*z**2 as y*z**2 + p*z**3 + o*z**4 + t + c*z and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21979.31 millimeters in meters?\nAnswer: 21.97931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.6 - 2.4. Let f = d - -7. Let p = 20075.1 - 20071.1. What is the nearest to f in p, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -40. Let q(w) = -4 + o*w + 7 - 10*w - 2. Let u(c) = -2*c. Calculate 3*q(f) - 5*u(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10375 and 405125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcfcc. What is prob of picking 1 b and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, s: 1, e: 3}. What is prob of picking 3 e and 1 s?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8*h = 0. Suppose 5*g = -h*g - y + 269, -208 = -4*g + y. Suppose 3*q + 2*q - 15 = 0, 0 = -5*j + 4*q + g. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81159\/22 + 3686. What is the common denominator of ((-23)\/28*-2)\/(-4 + 3) and i?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3431290.111 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaalaalavvvav. Give prob of sequence av.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 2:30 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + -47 + 51\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -1)\/(2\/(-1)). Let z = x + 3. What is the nearest to z in -1, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k**2 - 4. Let m(p) = -p**3 + p**2 + 1. What is j(v) + 3*m(v)?\nAnswer: -4*v**3 + 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1712, -1714, -1714, -1712, -1708?\nAnswer: -1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 18 = 3*k. Let b(a) = -2*a**2 + k*a + a**2 + 3*a**2 + 4. What is the units digit of b(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 4997\/(-836))*(-29 + 37)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/2 - 20529*t + 28678815\/2 = 0 for t.\nAnswer: -41745, 687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/3))**(-2\/51)*(o\/(o\/(o*(o*o*(o*o**(-5))\/o)\/o)))\/(o*o**(3\/14)) assuming o is positive.\nAnswer: o**(-9167\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2. Let u = 560 - 798. Let s be (-5 - u) + 1 + -2. Let c(q) = -9*q + s - 232 - 19*q. Calculate r(c(o)).\nAnswer: 1568*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**4\/12 - 3*d**3 + 5*d**2. Let o be y(11). Let g(z) = -o + 5 - 4 + 2*z. Let j(l) = -1. Give g(p) - 5*j(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 + -58. Let l = 66 - c. Is l < 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.2 + -25.1. Let d = m - 9.1. Let f = 12 + -12. Which is the nearest to f? (a) d (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 52. Let s = -5.3 - -8.3. Let g = s + -11. Is x > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 + 1.14. Let i = -1.281 + g. What is i rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47162153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-525)\/(-9)*(4 + -1). Suppose 0 = 3*n + 13 - y. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 48 = -2*r, -10*v = -14*v - 2*r + 40. What is the remainder when 61 is divided by (1 - 34\/v)*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12208, 25538, 38870, 52204, 65540?\n\"Answer: u**2 + 13327*u - 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/70*5475\/1460?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -1\/90*a**4 + 1\/45*a**3 + 1 - 81*a + 4\/3*a**2. Factor s(r).\nAnswer: -2*(r - 5)*(r + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149038633 divided by -1\nAnswer: 149038633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u - 23*u - 26*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(4\/216). Let j = m + -62. Calculate the remainder when 7\/(j\/(-195)) - -4 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)\/(m\/m**(2\/11))*(m**(-6))**(-16\/7) assuming m is positive.\nAnswer: m**(916\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 149517295.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/13)\/d)\/d*d\/(d\/d**6))**48 assuming d is positive.\nAnswer: d**(3168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 7:44 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2694?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -39 - 81. Suppose -3*t = -5*t + l. Suppose -5*i = -t, -6*w - 7 = -w - 3*i. Which is greater: 2\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - g = 9, -8*s + 5*s + 5*g + 45 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6231\/40 bigger than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axh when three letters picked without replacement from texhwat.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 17, c: 1}. Give prob of sequence mc.\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9724, 9722, 9720, 9718, 9716?\nAnswer: 9714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65.5933 - 368.6121. Let p = 303 + j. What is p rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-20)\/(-12))\/(25\/60) and 58?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-70))\/(4*((-435)\/60)\/29).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1712 (base 8) in base 14?\nAnswer: -4d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216.7 - 217. Which is the closest to -1? (a) 3\/7 (b) -2\/7 (c) s (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158470723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 - 4*d**2 - 25*d + 5. Let y(u) = 6*u**3 + 5*u**2 + 25*u - 5. Calculate 5*m(f) + 4*y(f).\nAnswer: 4*f**3 - 25*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, y: 3, v: 8}. What is prob of picking 2 y?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/5 + 354*q**2\/5 - 6336*q + 61952\/5 = 0. What is q?\nAnswer: 2, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - sqrt(171)*-1*6)*4)\/((sqrt(9) + sqrt(63)\/sqrt(7))*1*-1) + 1)**2.\nAnswer: -28*sqrt(19) + 3725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3941 + 3941.000236. What is n rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*b + 5*f + 14, -167*f = -3*b - 168*f + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5473*m + 1499606. What is d(274)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 615666 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = c - 5*c - 40, -28 = 2*y + 3*c. What is the remainder when (-192)\/y*(-1)\/(-3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*l**3 - 32*l**3 + 39*l + 2*l**3 to i + s*l**3 + a*l**2 + g*l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwbvbbwvbwbbsbwbwv. Give prob of picking 2 b.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 9) to base 14.\nAnswer: d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 31. Let i(w) = x*w**2 + 2*w**2 + 2*w**2 - 2*w**2. Let h(k) = -2. Let m(c) = 2*c + 12. Let o(b) = -12*h(b) - 2*m(b). Calculate o(i(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1878 divided by 939\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12218651161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2833.3482 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f**5 + 57*f**4 + 23*f**3 - 149*f**2 - 84*f + 20 = 0.\nAnswer: -1, 2\/11, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/6 + (-3)\/(-18). Is -2\/99 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c. Let z(t) = 5*t - 4*t + 3*t - 6*t. Calculate z(v(x)).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -15*u - 199. Let l = u + 24. What is the smallest common multiple of 88 and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 6*p + 2. Let m be y(-6). Suppose 210 = -m*g + 5*g. Suppose q = -4*q + g. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 6. Let l(v) = -51177*v. Calculate n(l(f)).\nAnswer: 51177*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 4*t**2 + 4*t + 4. Let u be z(-5). Let o be 36\/(-3)*(-12)\/u. Suppose 0*d = d - o. Calculate the remainder when 46 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(8*(-27)\/(-144))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 3*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = -0*q. Suppose 0 = -2*n - w + 8, 2*n - 3*w - w - 8 = 0. Let j be 2\/n + (-25)\/(-10). Solve -j - 2 = -q*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 33*z - 131. What is d(27)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2*w**2 + 0*w**2 + (101*w - 71*w**2 - 101*w)*(0 - 4 - 1))*(11 - 10 + 13)*(-5*w - w**2 + 5*w) as u*w**4 + c*w + z*w**2 + q*w**3 + k and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwz when three letters picked without replacement from zzzwzwwwzzzzzzzzww?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4328 + 116869\/27. What is the common denominator of -145\/12 and v?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -125*x**4\/4 - x**3\/3 + x**2\/2 + x + 2. Is s(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14269 + 14269. Factor 2\/7*p**3 - 6\/7*p**2 + 8\/7 + b*p.\nAnswer: 2*(p - 2)**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -13*v - 9. Let w(p) = -1. Calculate -2*d(z) + 18*w(z).\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/6)*b)\/((b\/b**4)\/b)*(b\/((b*(b**(-1)\/b)\/b*b)\/b))**(-1\/24))**(3\/10) assuming b is positive.\nAnswer: b**(121\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*i = -q + 30, 30 = 2*i + 4*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.14837 - 33.83263. Let h = c - -34. Round h to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(3)*5)\/((sqrt(12)\/sqrt(2))\/sqrt(3)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-18)*8*1*18\/(-84)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/325 + -5541\/2600. What is the common denominator of y and -93\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 6. Let q(y) = 1. Let a(m) = p(m) + 2*q(m). Let n be -2*(-1*45\/(-10) - 1). Let j be a(n). Solve 0*d - d - j*u = 0, -d = u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c = -1393 + 535. Let f be (-6)\/27 + (-58)\/(-18). What is the second derivative of -10*y**5 - 30*y**f + 30*y**3 - c*y wrt y?\nAnswer: -200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(245\/(-42) - -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7165.00002271 + -7165. What is i rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let l = 750\/11 + -68. What is the second biggest value in n, -0.2, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 9186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 787118, 787105, 787070, 787001, 786886, 786713?\n\"Answer: -2*p**3 + p**2 - 2*p + 787121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.381 + -5.381003069. Round q to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7266 divided by 2422\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1287*n**2 - 5102*n**2 + 1276*n**2 + 1281*n**2 + 1271*n**2.\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**4\/12 - 4*f**3\/3 + 3*f**2 - f. Let t be z(7). What is the remainder when 19 is divided by t\/1 - (1 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -160 - -3a?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 14*g - 26. Let i be y(16). Suppose -5*l - 41 = -i*l. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 49815090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:51 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p - 39. Let u(n) = -n + 1. Let f(c) = a(c) + 3*u(c). What is the units digit of f(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161665115 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*g + 20*d*g**2 + 394*d*g - 6*d - 2*g**2 - 2*g - 40345 with respect to d.\nAnswer: 4*d*g + 20*g**2 + 394*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10043414 is divided by 173160?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -12. Let c(m) = m**2 + m + 4. Let v be c(p). What is the units digit of (v - 0) + 0\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094 a factor of 141401538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*n**4 - 29*n**4 - 5*n**4 + (-2*n**2 + 8*n**2 - n**2)*(4*n**2 - 3*n**2 - 3*n**2) - 5*n + 5*n - 2*n**4 + 3*n**3 - 1 + n**4 + 1 - 2*n.\nAnswer: -56*n**4 + 3*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 + 14 = 5*c, -2*c - 2 = 3*z. Let a(s) = -s**3 - 22*s**2 - 39*s + 19. Let n be a(-20). Let u be 1*n\/(18\/30). What is the closest to 0 in z, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 9*m - 9. What is p(6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2432042 - -1?\nAnswer: 2432043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**3 - 2*z**3 - 2*z**3 + 6*z**3.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -152678.\nAnswer: -15\/152678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*m - 6*m + 4 = 0, -4*m + 12 = 0. What is the second smallest value in 10, -2\/3, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(-p**2 + 3*p**2 - 3*p**2)*(182186 - 182186 + 922*p) as r*p + o + a*p**2 + c*p**3 and give c.\nAnswer: 1844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15\/73 - 1437\/3796. Let b = 219\/364 + d. Let t = 222 - 455\/2. What is the third smallest value in -0.1, -2, b, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 19*i**2 + 2*i**2. Let w(o) be the third derivative of 5*o**5\/12 - 14537*o**2. Give t(w(d)).\nAnswer: -11250*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6011545912 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 8*n - 5. Suppose 0*x - 2*x = 16. Let z be f(x). Let v = 0.596 + -0.496. Which is the closest to v? (a) -3\/7 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d - 7. Let q = 45 + -57. Let w = -3 - q. What is the tens digit of i(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 190, 169, 144, 115?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3430 - -2686.5. What is i rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (0 - 8\/6). Suppose -i - 4 = 3*i. Let g = i + 3\/2. What is the third biggest value in 1, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4559698661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 25. Let g(h) = -h. Let s(n) = -6*g(n) - x(n). Calculate the smallest common multiple of 30 and s(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/749597 or 0?\nAnswer: -34\/749597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 189884 = -2*y. Suppose y = 3*j - 14329. Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*1*sqrt(72) + ((1 + sqrt(72))*-6 + sqrt(72))**2 - (0 + sqrt(72) + -3 - -1*2*sqrt(72))**2).\nAnswer: -1179 - 504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 13*q. Solve 4*o = i + 4, 2*o = -q*i + i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5091886 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 5. Let t = j - 1. What is the units digit of (-1)\/2*120\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*t - w, 0 = 2*t - 5*t + 4*w + 30. What is the third derivative of 3*o**4 + 5*o**4 + o**2 - t*o**4 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 284\/88*13652 - -3. Let b = r + -93932455\/2134. Let f = b + -14\/97. What is the common denominator of f and 41\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 u when three letters picked without replacement from {z: 3, x: 1, s: 3, u: 1, v: 1, c: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 15*p - 95. Solve 0 = h, -3*c + 12 = c + p*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 480*f - 4240. Let o be d(9). Factor 80\/3*a**2 + o + 5\/3*a**3 + 260\/3*a.\nAnswer: 5*(a + 2)**2*(a + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -158513*j + 158510*j + 1 + 2 - 3. Let v(p) = 29*p**2. Determine u(v(g)).\nAnswer: -87*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 107. Let z be 9\/1*26\/(-6). Let a = 57 + z. Calculate the greatest common divisor of a and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-10))\/((-3)\/6). Let u = -2 + p. Let d(q) = 2 + 5*q + 3*q**2 - 2*q - 5*q**2. Let y(o) = o**2 - 2*o - 1. Determine u*y(m) - 3*d(m).\nAnswer: m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/233 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + ((-4710)\/24 - 5). Let l = -205 - j. Which is the closest to -1? (a) -0.3 (b) l (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64611\/29 - -2226. Let k = u + -442\/203. Let y = -14\/67 - -877\/670. Find the common denominator of k and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4376670843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 593 + -417. Suppose 2*u + i = 131 - 37, j = 4*u - i. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*(-1)\/6*-3. Let k be (-35)\/(d\/1)*2\/7. Factor 1\/3*s**3 + 0*s + 0 - 1\/3*s**k.\nAnswer: s**2*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 288983.2m?\nAnswer: 288.9832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -65*d - 1296. Let n be a(-20). Factor 2\/7*p**n - 6\/7 + 0*p**3 - 12\/7*p**2 - 16\/7*p.\nAnswer: 2*(p - 3)*(p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*w - 2*u = 871*w - 1, -u - 22 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 856.5065788 and 6.8.\nAnswer: 863.3065788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -252, -267, -298, -351, -432, -547, -702, -903?\n\"Answer: -f**3 - 2*f**2 - 2*f - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 - a**3 + 5*a**3 + (6*a**2 - 1 + 1)*(1 - 1 - 2*a) - 4*a**3 + 2*a**3 + 3*a**3 + 3*a**2 + 4*a**3 - 3*a**2 + (a + 1 - 1)*(-2*a**2 - 3*a + 3*a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.4, 5, -17, 4\/3, -0.3 in descending order.\nAnswer: 5, 4\/3, -0.3, -6.4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*i - 3, 0 = 2*f - 0*f - 3*i + 6. Let c be (-16)\/f + 16\/72. Let g be (-56)\/(-26) - c\/13. Solve -g*n + 2 = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 5 (c) 2 (d) 37 (e) -1\/389\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4189239 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-2 + 246*13\/1716).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - b + 2)*(-37 - 26*b + 37) - 2104*b**2 - 4*b + 3 - 1 + 2067*b**2 as i*b + r*b**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.2. Let z = -0.1 + k. Let l(g) = -2*g - 6. Let d be l(-5). What is the third biggest value in d, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/162 and (-6)\/70*(17 + -287)\/9?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/13 (b) -0.2 (c) 0.5 (d) 11.4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**7\/735 - q**6\/140 + q**5\/21 + 168*q**2. Determine x so that b(x) = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 1:37 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/22166920 and -81\/22?\nAnswer: 243836120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-40) - 15000002\/10. Round k to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-8)\/(-40)*10\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31 - -9131?\nAnswer: 9100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 - 287. Suppose 0*x + r = -i*x + 3, 3*x + 3 = r. Solve 3*m - 2*j = 6*m + 7, x = -m - j - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 8 - b + 15 - 30 + 9. Let k(m) = m**2 - 1. Give 4*k(a) + 3*x(a).\nAnswer: a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847559 (base 11) to base 2.\nAnswer: 101001011010010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**4\/4 - 11*c**3\/2 + 2*c**2. Let h = -116 + 97. What are the prime factors of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43973467 is divided by 14657798.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*v + 202*v = 208 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41960454 to the nearest integer?\nAnswer: 6478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**2 + 111*q**2 + 79*q**2 + 73*q**2.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18506 by -647.\nAnswer: -18506\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 63 = g, 2*h - 5*g - 75 = 3*h. Let u = h - -92. Let w = u - 27. Solve w = 5*p - 5*y - 15, -p - p + 4*y = -16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99653769 + 99653769 - 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -662, -1093, -1200, -905, -130?\nAnswer: 1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2352 divided by -98\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4518 + 1\/6*-2 + 476\/(-714)?\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25333951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12860 and 67820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -10, -36, 158?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1538 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4487 - -4482. Suppose -5*c - 11 - 9 = 0. Let i be (c\/6)\/(4\/(-18)). Let h(f) = -5*f**2 + 2. Let j(s) = -9*s**2 + 3. Calculate i*j(r) + p*h(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2. Suppose 0*w - 14 = -2*w. Let c(y) = 2*y + 2*y**2 + 6 + w*y**2 - 7*y - y. Let v(r) = r**2 - r + 1. Let q(t) = c(t) - 6*v(t). What is n(q(s))?\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 16 - 18 = -4*z, -5*z + 11 = -a. Let i(r) = r**2 - 16*r + 44. Does 16 divide i(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*y - 25, -3*h + 0*y + 15 = -5*y. Let w(j) = 1 + 3 + j - h. Give w(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + (-689)\/91 - (-535)\/42. Let c = 529\/42 - i. What is the smallest value in 1, -0.05, c?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*a**2\/11 + 2218307*a\/11 + 184859\/11.\nAnswer: -(a - 184859)*(12*a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 767.9 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7842 and 4?\nAnswer: 15684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*l - 1, 4 + 16 = -5*l. Suppose -8*q - 2 = -t*q, 4*c - 126 = -5*q. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 k when four letters picked without replacement from {s: 3, d: 1, k: 2, v: 11, p: 2}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34288, -274267, -925642, -2194111, -4285372, -7405123, -11759062, -17552887?\n\"Answer: -34283*f**3 + 2*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 38658491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105200 by -10.\nAnswer: -10520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 1 + 7*k**3 + 2*k + 23*k**2 - 5*k**3 - 19*k**2 as c + r*k**3 + u*k + t*k**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -8) + 6 + -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**7\/420 + z**5\/40 + z**3\/2 + 2*z. Let v(m) be the second derivative of f(m). What is the second derivative of v(k) wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 1, f: 2, p: 1, j: 2}. What is prob of sequence fa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -383? (a) 2 (b) -5\/2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 135850168 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -11 + 5 - 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*v**3 - 23\/3*v + 5*v**2 - 1\/3*v**4 + 10\/3 = 0. What is v?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 826658567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 6 + 2)*(-4 + 4 + 2*q).\nAnswer: -78*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173112270 to the power of 1\/2, to the nearest integer?\nAnswer: 34251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4807 - -4813. Calculate the remainder when 599 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18428 and 703516?\nAnswer: 11959772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - d - 2*d = 15, -v + 4*d - 10 = 0. Let s be v*(5 - (-2060)\/12). Let o = -751 - s. What are the prime factors of o?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -3. Let q be ((-4)\/(-10))\/(y\/(-120)). Suppose -4*k - 29 - 3 = 4*p, -2*k - q = p. Put k, 3, -2 in descending order.\nAnswer: 3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3804328 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 244387782.9 and 3?\nAnswer: 244387779.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 - (3 + -6 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 2*y - 1. Let r(k) = 9*k**2 - 17*k + 34. Suppose 6 = -i + 7*i. Let g(d) = i*r(d) + 4*b(d). Suppose g(j) = 0. What is j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v + 27. What is m(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 + 5*l - 6. Let n(z) = -z**3 + z**2. Let w(r) = 7*r**3 - 24*r**2 + 17*r - 4. Let m(p) = -6*n(p) - w(p). Let s be m(17). Determine g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4730.8 + -4730. Sort 3, 57\/4, z in decreasing order.\nAnswer: 57\/4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429 (base 12) to base 6.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3917807052?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 449*l**2 + 4*l - 3. Let k(s) = 150*s**2 + s - 1. Calculate 2*h(a) - 7*k(a).\nAnswer: -152*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*2*sqrt(385) - sqrt(385))\/sqrt(11))\/(5*(-2*-1*sqrt(720) + sqrt(720) + sqrt(720)))*-4.\nAnswer: 7*sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1080*d**2 - 7*d - 365*d**2 - 360*d**2 - 5*d**3 - 361*d**2 - 12*d + 2 in the form l*d + m + g*d**3 + j*d**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 342185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2*u - 2*u + (3*u + 2*u - 6*u)*(2 + 1 - 1) - 1 + 1 - u + 2*u + 0*u + 0*u + (0 + 0 - 4)*(0 + 2*u + 0).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1404 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 4. Let x = -3805.5078 + 3806.50779998. Let c = w - x. Round c to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -73b1 - -368?\nAnswer: -7049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 1442?\nAnswer: 27\/721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 61 (c) -0.08 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 1\/7 (b) 23 (c) 1 (d) 0.3 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -54, 1\/4, -0.5, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgggggggmg. Give prob of sequence gmm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 3. Let n = -170 - -537. Let z = n - 363. Give t(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 5980 = d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290973973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/10 + 1 + 2\/(-4). Let b(g) be the third derivative of 0*g**3 + 0*g + 1\/6*g**4 + s + 3*g**2. Let j(c) = 2*c. Calculate b(j(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.2384 and -85.\nAnswer: 615.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 2*sqrt(11))*2.\nAnswer: -16*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2. Let f(w) = -10*w - 1158. Calculate f(n(u)).\nAnswer: -60*u**2 - 1158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1510, 1171, 582, -275, -1418, -2865, -4634?\nAnswer: -6743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 293476*d**2 - 2910638?\nAnswer: 586952*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -43.3 times -82824.3\nAnswer: 3586292.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**4\/12 + 3*f**3\/2 + 7*f**2\/2 + 16*f. What is d(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*x - 6 - 16 = 0, 0 = 4*c + 3*x + 4. Suppose -4*z - 5*i + 23 = 0, z = -5*i - 0 + c. List the prime factors of (-453)\/(-7) - (-2)\/z.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -273\/1478047?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 352176 divided by -58696\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19640 divided by 6\nAnswer: 9820\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -454 + 451. Is -2*317\/c*(-561)\/(-34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 98*s + 8164. What is q(-82)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12571010 to the nearest integer?\nAnswer: 3546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5731313 to the nearest integer?\nAnswer: 2394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 539488 and 1.\nAnswer: 539489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 526235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24.3 in -48, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 855.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 5*w**2 + 3*w**2 - 2*w - 2*w**2 - 3*w**2 + 6. Calculate g(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1377*y**3 - 2*y**2 - 2*y - 2. Let o(x) = 389691*x**3 + 567*x**2 + 567*x + 567. Determine -567*k(b) - 2*o(b).\nAnswer: 1377*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v - 15 = 59*v + 5*w, -5*v - w + 24 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 23*d - 11366 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 2. Let j be (-1 - -2)*n - -6. Suppose -2*i - 5*x = -x - 18, 73 = 5*i - j*x. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546539291?\nAnswer: 2417, 226123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 195927253 and 195927253 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28, -3, 32, 71, 108, 137?\n\"Answer: -m**3 + 11*m**2 - m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 20*o + 1. Let h(c) = 166*c + 832. Let u be h(-5). Calculate m(u).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369155 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**5\/60 - 22*c**2. Let s(x) = 7*x. What is z(s(p))?\nAnswer: -49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1731*x**2 + 221. Let g(w) = 3462*w**2 + 517. Give -7*c(r) + 3*g(r).\nAnswer: -1731*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3 + 3)*(-a**2 + 4*a**2 - 4*a**2)*(-a - 3*a + 5*a).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/760 and 89\/1213340?\nAnswer: 2426680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/1269 or -1?\nAnswer: 14\/1269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11889, -22153, -32417, -42681, -52945, -63209?\n\"Answer: -10264*h - 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -301, 4, -3, 1272 in decreasing order.\nAnswer: 1272, 4, -3, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)\/(((d*d**(-2\/23))\/d)\/d)*d**(-3\/2)\/d**(-5\/2) assuming d is positive.\nAnswer: d**(119\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107205 - -808780. Suppose 4*t = 2*d - 457980, -15*d - z = -19*d + 3*t. What is d rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - m**4 + 4530*m**2 + 5*m - 4530*m**2 + 3*m**3 as k*m**3 + g*m**4 + d*m**2 + c*m + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 + 34\/(-8). Let p(g) = 5*g**2 + 2*g - 3. Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 7 = -3*b, -1296 = 4*b - 1284 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m + 2*i - 14144 = 0, 2*i + 12 = 0. What are the prime factors of m?\nAnswer: 2, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let q = 29 - 9. Let v = q + -22. Calculate b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71243.889 at most -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5664433241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468) + 0)*-3)*1)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*j = 741, 218 = 2*p + 4*j - 140. Let o = 334 - p. What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*m**5 - 136*m - 1 wrt m?\nAnswer: -1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 0)*42\/4 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28724117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c - 10. Let q(a) = -a - 437 + 877 - 441. Give -n(h) + 6*q(h).\nAnswer: h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787166256.\nAnswer: 2, 111697891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808 + 72.1.\nAnswer: 880.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 5*i**2 + 2*i + 4. Let l = -12 + 10. Let b be (l - -8)\/2 + 2. Suppose 5*h = -3*x - 25, -x - 3*x = h + b. Calculate m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose 0 = -4*r - r, -2*m + r = -6. Suppose y = -2*o + 5*n - m, -o + n = o + 23. Round o to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794507 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27\/5*w**3 + 5*w**4 - 5*w**2 - 1\/5*w - 26\/5*w**5 + 0 = 0.\nAnswer: -1, -1\/26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**4 + d**3 + d**2 + 1. Let i(h) = -6*h**5 - 3*h**4 - 3*h**3 - 3*h**2 - h - 3. Let m(o) = i(o) + 3*u(o). What is the second derivative of m(w) wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1869779 times 0.077\nAnswer: 143972.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((9\/2)\/9). Suppose 2*v - 786 = -q*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 9\/(3 + 0). Let n = -11 - -14. Sort n, 4, o.\nAnswer: o, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 923.332095ns to weeks.\nAnswer: 0.0000000000015266734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**3 - 6*s**3 + 15*s**3 - 2*s**2 + 4*s - 4*s - s**3 + (1 - 2*s - 1)*(111 - 35*s**2 - 111).\nAnswer: 74*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 8736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 12:05 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 0, 8 + 1 = -3*m - 2*w. Let x(t) = t**2 - t - 10. Let d be x(m). Solve -3*s - d*l + 15 = 2*s, 0 = l - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 292334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1195*i. Let j(p) = 4*p**2. Give k(j(q)).\nAnswer: 4780*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let t(f) = 457*f**2 + 296. What is t(r(a))?\nAnswer: 457*a**2 + 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) 0.1 (c) -27599 (d) -21 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -50. Suppose b = -0*b. Suppose 0*r - 3*r = -4*i - 31, b = 3*i + 3. What is the remainder when s is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (44\/(-1) + 13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from {j: 17, p: 3}?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 d when three letters picked without replacement from {f: 3, n: 2, j: 3, d: 9}.\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -62*k + 19 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6462 by -359.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-20)\/9 - 2. Let r = 321.1 + -321. Which is the nearest to 2? (a) r (b) n (c) -0.3 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0318149 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(36)\/sqrt(2))\/sqrt(3) - -5*(sqrt(6) + sqrt(6)*-2))\/((sqrt(216) - ((sqrt(216) - sqrt(216)*2) + sqrt(216)))\/(sqrt(6)\/(2*sqrt(2)))))**2.\nAnswer: -2*sqrt(3) + 28\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2. Let g(o) = -76977*o. What is h(g(b))?\nAnswer: 17776375587*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*k + 609*k - 8*k**2 - 193*k - 205*k.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 347337 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, d: 1, l: 3, i: 3, u: 1, k: 5}. Give prob of picking 1 l, 2 k, and 1 u.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*o = -4, 2*g + 1 = 6*g - o. Suppose 4*n + 6 - 26 = g. What is the second derivative of 4*q**5 - n*q**5 + 42*q - 47*q wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1 + 1 + 5*x**2 - 5*x + 3 - 4*x**2. Let k be h(5). Suppose 1 - 4 = -4*q - 3*d, q = -3*d + k. Solve 4*o - o = c + 1, -o + 2 = q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3078, 3074, 3066, 3054, 3038?\nAnswer: 3018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - b - 4158, -17*t = -13*t - 3*b - 8312. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(5 + sqrt(108) + ((sqrt(108) - 2*sqrt(108) - sqrt(108)) + -4 + sqrt(108) - sqrt(108)) + sqrt(108) + (sqrt(108) + sqrt(108)*3)*1 + 1).\nAnswer: 12 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 600 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 121*m**6\/4 - 1518*m**5\/5 + 3609*m**4\/8 - 170*m**3 + 21*m**2 + 102. Let i(p) = 0. What is p?\nAnswer: 0, 2\/11, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*k**2 - 13*k**3 - 80*k**2 - 1 to h*k**2 + t*k + x*k**3 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131933 (base 10) to base 8.\nAnswer: 401535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1602)\/(-99) + ((-16)\/44)\/2. Solve l*c = 22*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 8. Solve -w*o + 4 = c, -2*o - 4*c = -o - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdajjsjaaws. What is prob of picking 1 s and 3 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/6 (b) 336 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**3 + 8*d**2 + 21*d - 119. List the prime factors of j(-10).\nAnswer: 37, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -220.1 - -172.1. Sort -5, p, 0.7, -2\/3, 5.\nAnswer: p, -5, -2\/3, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -1. Suppose 3*g - 68 = -5*h, 0 = -h + 5*g - 2 + 10. What is the remainder when p is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 458 and -9.\nAnswer: -4122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 132*y**2 - 5*y - 266. What are the prime factors of v(-14)?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58.6 or -4\/9?\nAnswer: 58.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 0*f = -3*f + 14, -3*w - f - 14 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 229, 253, 271, 277, 265, 229, 163, 61?\n\"Answer: -c**3 + 3*c**2 + 22*c + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 2 (c) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 313*t*z**3 - 9*t*z**2 + 24*y**3*z**3 + 4*y**3*z**2 - 2*y*z**2 - 5*z**2 - 2*z wrt z.\nAnswer: 1878*t + 144*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a9 (base 16) to base 4.\nAnswer: -22221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - 5*m**2 + 2*m**2 + (0*m - m + 3*m)*(2*m - m + 0*m) + 1029 - 12*m**2 - 1029 + (0*m**2 + 0*m**2 - m**2)*(-1 + 2 - 3).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 82?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {t: 1, z: 1, y: 8, e: 2, n: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s. Solve -k - 4 + 1 = s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**5\/60 + v**3\/6 - 10*v**2. Calculate d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1989 or 7443?\nAnswer: 7443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 293*c + 39302. Give k(100).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104.6 - -104. Which is the closest to 3? (a) -4\/5 (b) 2\/17 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(0 + 29820\/(-29817) - (21 - 22))?\nAnswer: 3, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 674 divide 4505995996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -63. Let v = -0.01 - 14.99. Let j = v - i. Which is the smallest value? (a) 2 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2 + -32 + 29\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/63 and -47\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eefyezfwffyfr. What is prob of sequence fe?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - 29) + 36 + -16?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -4092 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - -0.04. Let u = 227 - 235. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*z - 2 = 0, -2*d + d + 19 = 3*z. Suppose d*b = 5*s + b - 717, 2*b - 2 = 0. What is the highest common factor of s and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j + 18. Let o be g(6). What is the greatest common divisor of o and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/2 + 1172*x = 0.\nAnswer: -2344, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 + (43 - 10 - 33) - 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2. Let y be 8\/3*(-12)\/(-8). Suppose -2*u = 3*b - 4*u - 18, -5*b + u = -30. Let k(s) = -y*s + b*s + s. Calculate v(k(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-280 + 280 - 29*z - 2*z + z + 0*z + (1 - 3 + 1)*(-3*z + 4*z + 0*z))*(-210*z**2 + 95*z**2 + 106*z**2).\nAnswer: 279*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}